Dr Anand Thite
BEng, MTech, PhD
Senior Lecturer in Mechanical Engineering
School of Engineering, Computing and Mathematics
Role
In 2007 Anand joined Oxford Brookes University, in academic role, in the department of mechanical engineering and mathematical sciences. He teaches introductory and advanced vibration analysis, NVH and a few topics in vehicle crash engineering and numerical simulations. His research interests cover a range of topics in both lower and higher frequency vibrations and acoustics.
Anand graduated in 1993 with MTech (Indian Institute of Technology, Kharagpur, India) in mechanical engineering and later in 2003 with a PhD in Sound and Vibration (Institute of Sound and Vibration Research, University of Southampton). Between 1994 and 1999, he worked as an NVH engineer with a major automotive manufacturer in India where the responsibilities included numerical, experimental and classical design aspects. He led a team working on quieter gear train design and manufacturing. Between 2002 and 2007 at ISVR, University of Southampton, he worked as a Research Fellow on a project funded by the Leverhulme Trust to research mid and high frequency vibrations, and as a Ford Research Fellow researching IC engine sound radiation.
Areas of expertise
- Vibro-acoustic analysis.
- Numerical analysis (Finite element method, Spectral finite element method).
- Experimental methods in vibration and acoustics (including laser vibrometry).
Teaching and supervision
Modules taught
- Mechanical vibrations
- Engineering Dynamics
- Advanced Dynamics
- NVH
- Vehicle Crash Engineering
- MSc projects.
Supervision
Anand has supervised to completion two PhD students and one MSc by research candidate. Currently, he is supervising two industry sponsored PhD students in the areas of structural dynamics and structural-acoustics as applied to products made of polymer composite materials.
Research
Anand's research interests span a range of topics in both lower and higher frequency vibrations and acoustics. The applications range from humanbody dynamics, soft and hard tissue vibro-acoustics to dynamic behaviour of automobiles at both lower and higher frequencies. He is actively researching:
- Statistical structural dynamics (SEA and mid frequency vibration and acoustics), Hybrid modelling approaches applied to analysis of vibration and its effects.
- Dynamics of hard and soft tissues, characterisation of important controlling parameters
- Inverse methods applied to mechanical systems dynamics
Research group membership
- Anand is an active member of Systems Modelling and Systems Integration (SMSI) Theme.
Research grants and awards
- YASA Motors (01/06/2016 - 31/05/2021): Development of a numerical prediction model of noise and vibration in axial flux machines.
- Wipac Ltd (01/01/2015 - 31/12/2020): Development of a robust failure prediction model for thermoplastic assembly in the automotive lamps subjected to vibration loading.
Groups
Publications
Journal articles
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Okeke CP, Thite AN, Greenrod MT, Durodola JF, Lane RC, 'Dynamic response characteristics of an automotive lamp assembly'
Procedia Structural Integrity 28 (2020) pp.1941-1949
ISSN: 2452-3216AbstractPublished here Open Access on RADARThe objective of this paper is to model and analyse the dynamic response of an automotive lamp assembly. Modern automotive lamp assemblies have complex geometry and are composed of different parts made of polymer materials. As part of design verification, automotive lamp assemblies are subjected to accelerated random vibration tests to assess their integrity over a lifetime exposure to mechanical vibration loading. Understanding the dynamic behaviour of the lamp is crucial in the numerical evaluation of the fatigue life. Dynamic analysis involves characterising the modal and harmonic behaviours. In this work, numerical modal properties and harmonic responses were validated using experimental testing. The numerical analysis was carried out using the ANSYS finite element analysis (FEA) software. Experimental modal properties including mode shapes and corresponding frequencies were determined using Polytec PSV-500 Xtra laser scanning head at a frequency range of 10 to 1000Hz. The experimental harmonic transmissibility responses of all the components of the lamp assembly were determined using a vibration shaker. The experimental and numerical mode shapes and responding frequencies obtained in the analyses compared well thus validating the numerical modal model. Furthermore, the mode shapes showed that the lamp assembly was mostly vibrating in bending, therefore subsequent analysis should take this into account. Harmonic response validation showed that the first few numerical resonant frequencies, that dominate the response, compared well with experimental results.
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Ramachandra S, Durodola JF, Fellows NA, Gerguri S, Thite A, 'Experimental validation of an ANN model for random loading fatigue analysis'
International Journal of Fatigue 126 (2019) pp.112-121
ISSN: 0142-1123 eISSN: 1879-3452AbstractPublished here Open Access on RADARThe use of artificial intelligence especially based on artificial neural networks (ANN) is now prevalent in many fields of data analysis and interpretation. There have been a number of papers published in the literature on the use of ANN for fatigue characterisation. Most of these have however been developed for rather focussed application with limited capability for fatigue life prediction for a broad scope of material and loading conditions. The authors recently presented a uniquely generalised ANN model that is capable of making fatigue life prediction for a broad range of material fatigue properties and loading spectral forms. The model was developed using simulated data albeit subject to conceivable constraints between possible materials properties and load forms. This paper presents a validation of the ANN model using a Society of Automotive Engineers (SAE) random fatigue loading experimental test data. The capabilities and potentials of the model are demonstrated by comparison with the SAE random load fatigue test results and with results obtained from other predictive methods. The performance of the ANN is highly encouraging as a general tool for random loading fatigue analysis.
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Foard JHD, Rollason D, Thite AN, Bell C, 'Polymer Composite Belleville Springs for an Automotive Application'
Composite Structures 221 (2019)
ISSN: 0263-8223 eISSN: 1879-1085AbstractPublished here Open Access on RADARThis paper investigates mathematical modelling and manufacturing of polymer composite Belleville springs, and their potential application. The original expression for load carrying capacity developed for metal springs is refined by considering the variation of elastic modulus and Poisson’s ratio of laminates in polar coordinates. A novel series spring stacking arrangement is proposed to achieve complex stiffness variation by progressive action. The experimental results show consistent effect of number of plies on the spring rate and compare well with the theoretical predictions. Although handmade, the variations in load carrying capacity is very small (~10%) confirming manufacturing viability. It is shown that a smooth, variable spring rate curve can be produced by reducing slip-stick frictional forces with the use of spacers within the spring stacks. In one application, the composite springs are shown to offer significant vehicle dynamic performance improvement through reduction of the tyre contact patch force variation and vehicle body acceleration.
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Okeke CP, Thite AN, Durodola JF, Greenrod MT, 'A novel test rig for measuring bending fatigue using resonant behaviour'
Procedia Structural Integrity 13 (2018) pp.1470-1475
ISSN: 2452-3216AbstractPublished here Open Access on RADARA novel test rig for bending fatigue test that based on specimen resonant behaviour has been developed. Determining bending fatigue properties of polymer materials with the standard test systems is challenging, and in some cases results are unattainable. This is particularly true of polymers that exhibit a high level of non-linearity and large deflection. This novel test setup is similar to that of four point bending arrangement resulting in a simple support. The loading is achieved by inertial effect of small masses mounted on the test specimen. A vibration shaker is used to base excite the specimen at the first resonance frequency until it breaks. The proposed test setup reduces the time taken to obtain Stress v/s number of cycles (S/N) curves, typically 1/10th of the universal testing machine based approach. The effect of nonlinearities can be reduced by application of larger loads at higher frequencies using large acceleration and smaller deflection combination. The results based on the proposed approach are in good agreement with tensile fatigue results. It has been successfully used to determine the bending fatigue properties of Polycarbonate (PC) of which determining the tensile fatigue properties were difficult to obtain. The significance of this novel test rig is that it accelerates the fatigue testing and allows the determination of the fatigue properties of some materials that cannot be obtained with existing systems.
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Okeke CP, Thite AN, Durodola JF, Fellows NA, Greenrod MT, 'Modelling of hyperelastic polymers for automotive lamps under random vibration loading with proportional damping for robust fatigue analysis'
Procedia Structural Integrity 13 (2018) pp.1460-1469
ISSN: 2452-3216AbstractPublished here Open Access on RADARThe objective of this paper was to model random vibration response of components of an automotive lamp made of Polycarbonate/Acrylonitrile Butadiene Styrene (PC-ABS), Polymethyl methacrylate (PMMA) and Polypropylene 40% Talc filled (PPT40) materials using a nonlinear hyperelastic model. Traditionally, the Rayleigh damping matrix used in the dynamic response analysis is constructed considering linear elastic behaviour based on either initial stiffness or secant stiffness. The performance of linear stiffness matrices is compared in this work with that based on the nonlinear hyperelastic, Mooney-Rivlin model, specifically addressing Rayleigh damping matrix construction. The random vibration responses of 10 samples of each material are measured. The mean square error of acceleration response was used to assess the effectiveness. Considering three materials of study, the hyperelastic model resulted in the reduction of the least square error at best by 11.8 times and at worst by 2.6 times. The Mooney-Rivlin material model based Raleigh damping matrix was more accurate in modelling the dynamic behaviour of components of nonlinear materials and it also represented the manufacturing variabilities more reliably.
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P Monninger and A N Thite, 'A Sustainable Approach of Damping Treatment for Aluminium Honeycomb Sandwich Structures'
Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering 233 (6) (2018) pp.1403-1418
ISSN: 0954-4070 eISSN: 2041-2991AbstractThe damping plays a vital role in structural dynamic and acoustic performance of aluminium honeycomb sandwich structures. The viscoelastic damping treatment of skins is most common. An alternative, the use of sustainable cork inserts to improve the damping of cores and the whole assembly is investigated in this study. Structures with different filling degrees are analysed as well as the optimum location for inserts is determined. The structural dynamic as well as the vibro-acoustic performance is estimated numerically. Average squared displacement amplitude reduction efficiency 𝐸̅𝑑̅̅2̅Published here Open Access on RADAR
̅̅̅̅ is defined as the target parameter for structural dynamic performance, whereas average transmission loss effectiveness 𝐸𝑇𝐿 ̅̅̅̅̅ for vibro-acoustic performance. The structural dynamic models are validated by experimental vibration analysis, whereas the vibro-acoustic models are validated against published data. Different ways of bonding the inserts to the host structure are analysed in order to maximise damping. The highest improvement is obtained with a filling degree of 64% honeycomb voids and 9.76% increase in mass, for which an average squared displacement amplitude reduction of 35.25% and an average increase in transmission loss of 1.5dB is achieved. The transmission loss increase in relation to the added mass is much higher than that achieved by doubling of mass in the mass law region. The introduction of cork inserts spreads the energy in local modes to a larger space, effectively decreasing the resonance amplitudes. Interestingly, damping does not increase with the number of inserts in a monotonic way and the improvement depends on the spatial distribution of inserts. -
Thite AN, 'Predictive vehicle ride discomfort model based on in-situ Stevens power law parameters'
International Journal of Vehicle Noise and Vibration 13 (3/4) (2017) pp.326-349
ISSN: 1479-1471 eISSN: 1479-148XAbstractThe current dynamic ride comfort mathematical models don’t use MaxwellPublished here Open Access on RADAR
arrangement of vehicle suspension occurring due to top mount and the discomfort weightings
used are based on the shaker table tests which ignore the influence of vehicle dynamics, for
example the effect of seat cushion. A refined integrated vehicle-occupant 10 degree of freedom
model that includes top mounts is developed to estimate the occupant response to given
harmonic input. The dynamic responses are combined with experimentally obtained in-situ
discomfort indices for a car that incorporates the effects of features such as seat cushion. The
Stevens power law parameters are estimated and compared with previous studies; the
perception model is then used to predict discomfort index as a function of frequency. The
influence of the relative stiffness of the top mount and suspension damping on the resonance
frequencies is discussed. The acceleration in wheel hop mode can be ~ 3 times larger than that
when top mount is not included. The influence of resonance frequencies suggests importance
of not just using frequency average discomfort index while optimizing suspension and seat
parameters.
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Okeke C P, Thite A N, Durodola J F and Greenrod M T, 'Hyperelastic polymer material models for robust fatigue performance of automotive LED lamps'
Procedia Structural Integrity 5 (2017) pp.600-607
ISSN: 2452-3216AbstractThe object of this paper is to determine the statistics of parameters of hyperelastic models specific to Polybutylene Terephthalate filled with 30% glass fibre (PBT GF30) and Polymethyl Methacrylate (PMMA) materials used in automotive lamps. The hyperelastic behaviour of both materials, a semi-crystalline and an amorphous, is modelled using appropriate hyperelastic models. The stress-strain curves of the materials were measured under uniaxial tension using a non-contact video gauge. Five samples each were tested to measure the effect of manufacturing variability. The model parameter statistics were determined, the mean value of the model parameters were used to construct average stress-strain behavior, which is then compared to the experimental stresses. Among all the models and their associated parameters studied, the 3-parameter Mooney-Rivlin model provided the most accurate prediction of the behaviour for both materials. The model showed excellent stability and is therefore the most appropriate model to represent variations due to the manufacturing process. The detailed study of the correlation of the model parameters provided a good understanding of how the parameters are related to each other, enabling construction of complete probability distribution functions for further analysis.Published here Open Access on RADAR -
Thite AN, Coleman F, Doody M, Fisher N, 'Experimentally validated dynamic results of a relaxation type quarter car suspension with an adjustable damper'
Journal of Low Frequency Noise, Vibration and Active Control 36 (2) (2017) pp.148-159
ISSN: 0263-0923 eISSN: 2048-4046AbstractModels of varying degree of sophistication are used in vehicle dynamic studies. For ride comfort, Kelvin-Voigt arrangement is preferred and for impact harshness analysis, a relaxation type suspension model, Zener or Maxwell type is used. The non-consideration of relaxation type models in ride comfort studies can result in significant errors for frequencies below ~30Hz. The object of the paper is to show the influence of the series stiffness on the effective suspension damping both experimentally and numerically. A frequency domain analysis of 2- DOF Zener quarter car model is performed to find the complex relation between effective damping coefficient and the limiting value of damping ratio for a given series stiffness. The nonlinear relation between shock absorber damping and the natural frequencies is clearly illustrated. A novel four post rig setup is used to validate the results by measuring transmissibilities, giving damping ratios for varying shock absorber settings. A closed form solution, based on a simplified partial model, of optimal damping coefficient, which is a nonlinear function of stiffnesses, shows good agreement with numerical simulations of the complete system. The nonlinearities in shock absorbers also influence the outcome. These findings can be a great value at early design stage.Published here Open Access on RADAR -
Durodola JF, Li N, Ramachandra S, Thite AN, 'A pattern recognition artificial neural network method for random fatigue loading life prediction'
International Journal of Fatigue 99 (Part 1) (2017) pp.55-67
ISSN: 0142-1123 eISSN: 1879-3452AbstractRandom vibration fatigue loading occurs in automotive, aerospace, offshore and indeed inPublished here Open Access on RADARmany structural and machine components. The analysis of these types of problems is often
carried out using either time domain or frequency domain methods. Time domain rainflow
counting together with Miner’s linear damage accumulation assumption is widely accepted as
a method of rationalising stress amplitude and mean stress from random fatigue loading and
the damage caused to the component. Frequency domain methods provide a faster alternative
for the analysis of the same problem but the results are generally conservative compared to
those obtained using time domain methods. This paper presents an artificial neural network
(ANN) machine learning approach for the prediction of damage caused by random fatigue
loading. The results obtained for ergodic Gaussian stationary stochastic loading is very
encouraging. The method embodies rapid analysis as well as better agreement with rainflow
counting method than existing frequency domain methods.
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Douglas CE, Thite A, 'Effect of lubricant temperature and type on spur gear efficiency in racing engine gearbox across full engine load and speed range'
Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology 229 (9) (2015) pp.1095-1113
ISSN: 1350-6501 eISSN: 2041-305XAbstractPublished here Open Access on RADAREnergy losses are of great significance to the automotive and motorsports industries. Many of these losses are incurred during power transmission through the gearbox. There has been considerable research in this area, however, generally gear losses are not calculated at part load condition, nor are so called dry sump systems considered outside of motor racing. The method developed by Anderson & Loewenthal which considers efficiency over part-load conditions is used here to calculate geartrain losses with varying speed, load and temperature conditions in a spur gear type gearbox for motorsport application. Both oil bath (wet sump) and oil jet (dry sump) systems of lubrications are considered. The Changenet method is used to calculate the churning losses in the typical oil bath lubrication system. Seventeen different mineral and synthetic oils were evaluated. At 75kW engine output, 1200W were lost in the dry sump gearbox whereas 1320W were lost in the wet-sump gearbox – in 1st gear at 9000rpm engine speed. The oils studied showed a spread of total drive efficiency of 97.8 to 99% in the most extreme temperature case. Observation of how efficiency and film thickness relate to operating temperatures it is clear that tight temperature control is critical to obtain the potential benefits available from oil optimisation. The dry sump gearbox is predicted to be more efficient only above 5000rpm engine speed.
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Ibicek T, Thite AN, 'In-situ measurement of discomfort curves for seated subjects in a car on the four-post rig'
Advances in Acoustics and Vibration 2014 (2014) pp.1-14
ISSN: 1687-6261AbstractPublished hereThe aim of this study is to measure and quantify perceived intensity of discomfort due to vibration in a vehicle in-situ considering complete vehicle dynamic behaviour. The shaker table based discomfort curves or the road test results may not accurately and universally indicate the true level of human discomfort in a vehicle. A new experimental method, using a seated human in a car on the four-post rig simulator, is proposed to quantify discomfort. The intensity of perception to vibration decreased with decreasing input and increasing frequency; the rate of change is different from the published literature; the difference is large for angular modes of inputs. Vehicle dynamic response is used to inform and analyse the results. The repeatability of the method and the fact that they are in-situ measurements may eventually help reduce reliance on the road tests. Furthermore, discomfort curves obtained, subsequently, can be used in predictive models.
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Thite AN, Gerguri S, Coleman F, Doody M, Fisher N, 'Development of An Experimental Methodology to Evaluate the Influence of a Bamboo Frame on the Bicycle Ride Comfort'
Vehicle System Dynamics 51 (2013) pp.1287-1304
ISSN: 0042-3114 eISSN: 1744-5159AbstractPublished hereIn the current environment of increased emphasis on sustainable transport, there is manifold increase in the use of bicycles for urban transport. One concern which might restrict the use is the ride comfort and fatigue. There has been limited research in addressing the difficulty in bicycle ride comfort quantification. The current study aims to develop a methodology to quantify bicycle discomfort so that performance of bicycles constructed from bamboo and aluminium alloy can be compared. Experimentally obtained frequency response functions are used to establish a relation between the road input and the seat and rider response. A bicycle track input profile based on standard road profiles is created so as to estimate the acceleration responses. The whole-body-vibration frequency weighting is applied to quantify the perception of vibration intensity so that eventual discomfort ranking can be obtained. The measured frequency response functions provide an insight into the effect of frame dynamics on the overall resonant behaviour of the bicycles. The beneficial effect of frame compliance and damping on lower modes of vibration is very clear in the case of bamboo frame, in turn affecting seat and rider response. In the bamboo frame, because of multiple resonances, the frequency response of the handlebar is smaller at higher frequencies suggesting effective isolation. Further improvements may have come from the joints made from natural composites. Overall, based on the comparative analysis and the methodology developed, bamboo frame shows significant improvement in ride comfort performance compared with the aluminium frame.
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Michalakoudis I, Thite A, 'Experimental identification of shock absorber knocking noise using various input waveforms'
Noise Control Engineering Journal 61 (1) (2013) pp.26-40
ISSN: 0736-2501AbstractShock absorber transient noise, often referred as clonk or knock noise, has been a challenging vehicle noise and vibration concern. As the comfort standards have been rising and quieter power trains (quieter engines, hybrid power trains and electric drives) have been introduced, secondary noise sources could become a significant concern. This study investigates the shock absorber knocking noise on 11 fully adjustable, twin-tube gas-filled automotive shock absorbers, using industry standard damper dynamometer, and a new experimental setup involving the adaptation of one of the shakers of a four post rig to perform tests in isolation. Four of the shock absorbers were returned from the field for knocking noise. The noise was successfully reproduced using triangular and sinusoidal wave inputs with frequency of 10 to 20 Hz on the four post rig setup, while no noise was detected on the same shock absorbers with the damper dynamometer setup. Unlike previously published results, the “noisy” shock absorbers could be successfully identified with a high degree of certainty based exclusively on the performance curve that includes the effects of higher frequencies. The inter-cycle inconsistency in performance curve was the main differentiating aspect. The statistical measures proposed have robustly identified the “noisy” shock absorbers.Published here -
Thite A, 'Development of a refined quarter car model for the analysis of discomfort due to vibration'
Advances in Acoustics and Vibration 2012 (-) (2012) pp.1-7
ISSN: 1687-6261AbstractIn the automotive industry, numerous expensive and time-consuming trials are used to "optimize" the ride and handling performance. Ideally, a reliable virtual prototype is a solution. The practical usage of a model is linked and restricted by the model complexity and reliability. The object of this study is development and analysis of a refined quarter car suspension model, which includes the effect of series stiffness, to estimate the response at higher frequencies; resulting Maxwell's model representation does not allow straightforward calculation of performance parameters. Governing equations of motion are manipulated to calculate the effective stiffness and damping values. State space model is arranged in a novel form to find eigenvalues, which is a unique contribution. Analysis shows the influence of suspension damping and series stiffness on natural frequencies and regions of reduced vibration response. Increase in the suspension damping coefficient beyond optimum values was found to reduce the modal damping and increase the natural frequencies. Instead of carrying out trial simulations during performance optimization for human comfort, an expression is developed for corresponding suspension damping coefficient. The analysis clearly shows the influence of the series stiffness on suspension dynamics and necessity to incorporate the model in performance predictions.Published here -
Ibicek T, Thite A, 'Quantification of human discomfort in a vehicle using a four-post rig excitation'
Journal of Low Frequency Noise, Vibration and Active Control 31 (1) (2012)
ISSN: 0263-0923 eISSN: 2048-4046AbstractThe ride comfort of a vehicle is a vital aspect determining competitiveness of vehicles. The comfort is intricately related to feelings of discomfort due to vibration. The discomfort depends on various dynamic aspects of the suspension-seat and surrounding system. In industry, the discomfort due to vibration is assessed by road testing on various surfaces; these road tests may not be accurately repeatable. Discomfort, in general, can be assessed by measurements based on a shaker table and seat combination. These results when used for “in vehicle situations” may not accurately indicate the level of human discomfort in a vehicle. In view of this, to quantify seated human discomfort in a vehicle, measurements were performed using a four-post rig simulator; the setup allows controlled in-situ experiments to be conducted. A group of six subjects were exposed to sinusoidal vibration at five magnitudes in the vertical direction for heave, roll and pitch motion. The objective is to develop a discomfort metric which could be used to compare vehicles. The preliminary results show varying significance of roll, pitch and heave motion. The results, however, confirm the nonlinear variation of perception as a function of the physical stimulus. The test setup can be used to study the effects of complex road inputs and eventually may contribute towards reduced reliance on road tests.Published here -
Thite A, Banvidi S, Ibicek T, Bennet L, 'Suspension parameter estimation in the frequency domain using a matrix inversion approach'
Vehicle System Dynamics 49 (12) (2011) pp.1803-1822
ISSN: 0042-3114 eISSN: 1744-5159AbstractThe dynamic lumped parameter models used to optimise the ride and handling of a vehicle require base values of the suspension parameters. These parameters are generally experimentally identified. The accuracy of identified parameters can depend on the measurement noise and the validity of the model used. The existing publications on suspension parameter identification are generally based on the time domain and use a limited degree of freedom. Further, the data used are either from a simulated -˜experiment" or from a laboratory test on an idealised quarter or a half-car model. In this paper, a method is developed in the frequency domain which effectively accounts for the measurement noise. Additional dynamic constraining equations are incorporated and the proposed formulation results in a matrix inversion approach. The nonlinearities in damping are estimated, however, using a time-domain approach. Full-scale 4-post rig test data of a vehicle are used. The variations in the results are discussed using the modal resonant behaviour. Further, a method is implemented to show how the results can be improved when the matrix inverted is ill-conditioned. The case study shows a good agreement between the estimates based on the proposed frequency-domain approach and measurable physical parameters.Published here -
Thite A, Mace B, 'The effects of design modifications on the apparent coupling loss factors in SEA-like analysis'
Journal of Sound and Vibration 329 (24) (2010) pp.5194-5208
ISSN: 0022-460XAbstractAt high frequencies it is often desirable to describe the behaviour of a structure in terms of subsystem energies. The most important method used for high frequency analysis is statistical energy analysis (SEA). Recently, the frequency range in which finite element analysis is applied is being extended to higher frequencies resulting in SEA-like analysis. Methods such as energy distribution modelling can be used to obtain the matrix of energy influence coefficients (EICs); the EIC matrix can be inverted to estimate SEA-like "apparent" coupling loss factors (ACLFs). The ACLFs so estimated depend on details of global modal properties, especially at low and moderate modal overlap. This has implications for design modifications, for example by adding damping treatment to one subsystem, since generally all the EICs change and hence so do all the ACLFs. In principle a full re-analysis is required; this is in contrast to classical SEA. This paper describes these problems and their causes and approximations to the SEA-like parameters of the modified system are proposed. Estimates of the response of the structure after modifications can be found without full re-analysis, leading to a computationally efficient method. The case studies show good agreement between the estimates based on the proposed approaches and the ones based on full re-analysis. The net outcome is that the ACLFs can be estimated after the modification has been made in a manner similar to conventional SEA.Published here -
Choi HG, Thite AN, Thompson DJ, 'Comparison of methods for parameter selection in Tikhonov regularization with application to inverse force determination'
Journal of Sound and Vibration 304 (3/5) (2007) pp.894-917
ISSN: 0022-460X eISSN: 1095-8568AbstractPublished hereIn performing transfer path analysis of structure-borne sound transmission, the operational forces at the excitation points and/or at the connections within the structure-borne paths are required. These forces can be obtained by using inverse techniques but the measured data used will contain some unknown errors. Therefore the reconstructed forces may include large errors due to the inversion of an ill-conditioned matrix of these measured data. In this study, Tikhonov regularization is used in order to improve the conditioning of the matrix inversion. Several methods are available to select the optimal regularization parameter. The purpose of this paper is to compare the performance of the ordinary and generalized cross validation methods and the L-curve criterion. Simulations are carried out, representing measurements on a rectangular plate, for different noise levels in measured data. Also, the robustness of the conclusions is investigated by varying the shape of the plates, the force positions, and the noise levels included in the measured data. The L-curve method is found to perform better than OCV or GCV, particularly for high noise levels in the operational responses, but less well when these noise levels are low. It is therefore found to be less susceptible to producing large reconstruction errors but it tends to over-regularize the solution in the presence of low noise, leading to under-estimates of the forces. In practice, measurements of operational responses may be susceptible to noise contamination which suggests that the L-curve method is likely to be the most appropriate method in practical situations. Nevertheless, it is important to obtain good estimates of the likely noise in the signals before determining the most appropriate regularization technique. Ordinary cross validation method is generally found to have a better performance than generalized cross validation method if the matrix condition numbers are high. Since the need for regularization is greater with high condition numbers, it is consequently found that the ordinary cross validation method gives more reliable results overall than the generalized cross validation method.
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Thite A, Mace B, 'Robust estimation of coupling loss factors from finite element analysis'
Journal of Sound and Vibration 303 (3-5) (2007) pp.814-831
ISSN: 0022-460XAbstractThere are well-established techniques by which the coupling loss factors (CLFs) of statistical energy analysis (SEA) can be estimated from finite element analysis (FEA). These are typically based on a single, selected system. A slightly different choice of system would give different estimates. There is a need for robust methods that give good estimates of the SEA average CLFs, independent of the details of the chosen system. Estimates of variance, confidence limits, are also of interest. Two approaches to this problem are discussed. These involve attempts to randomise the properties of the system and averaging the resulting estimates, but without repeating the full FEA. The first involves perturbation of component modal properties which can be related to perturbations in the modes of the assembled structure and hence to the energies and CLFs. In the second approach, it is assumed that the statistics of the modal properties of the system analysed are a fair representation, when taken over a wide enough frequency range, of the statistics of the modes of the SEA ensemble. The modes of the system are then randomly sampled to provide robust estimates. Numerical examples are presented. The methods are computationally very cheap.Published here -
Choi H, Thite A, Thompson D, 'A threshold for the use of Tikhonov regularization in inverse force determination'
Applied Acoustics 67 (7) (2006) pp.700-719
ISSN: 0003-682XAbstractIn the analysis of structure-borne sound from installed machinery, it is important to be able to estimate the operational forces. Assuming that their location is known, indirect approaches based on matrix inversion can be used to reconstruct the operational forces from a set of measured operational responses and corresponding matrix of frequency response functions. In common with many such inverse problems, matrix ill-conditioning can affect the reliability of the results. Methods such as pseudo-inversion of over-determined matrices, singular value rejection, and Tikhonov regularization have been used previously to overcome this and it has been found that Tikhonov regularization generally performs well in reducing the errors in the reconstructed forces. However, full-rank pseudo-inversion (unregularized solution) gives better results than Tikhonov regularization in some cases, particularly with low condition numbers. Since the need for regularization is greatest when the matrix is ill-conditioned, this suggests the introduction of a threshold above which Tikhonov regularization is used and below which pseudo-inversion is used. In this study, the extent to which response errors are amplified in the force estimates is considered and plotted against the matrix condition number. This allows a threshold condition number to be identified above which Tikhonov regularization gives improved results. It is found that the threshold is related not only to the condition number but also to the matrix dimensions including the extent of over-determination. A simple empirical formula is obtained for this threshold that is usable for matrices in a wide range of matrix dimensions.Published here -
Thite A, Thompson D, 'Selection of response measurement locations to improve inverse force determination'
Applied Acoustics 67 (8) (2006) pp.797-818
ISSN: 0003-682XAbstractThe forces obtained by inverse methods are prone to errors. These arise due to a combination of errors in the measurements and high condition numbers in the matrix of transfer functions to be inverted. Ill-conditioning of the frequency response function matrix causes measurement errors to be magnified significantly. When the condition numbers are small, the measurement errors simply propagate without much amplification. Due to modal behaviour of the structure, the condition numbers can vary significantly over the frequency range and with the spatial location of the response measurements. The spatial variation can be quite considerable across the structure. The potential for using this characteristic to improve force determination is explored in this paper as an alternative to matrix regularization methods. The aim is to reduce error magnification in inverse methods by an ‘optimal’ spatial distribution of response locations. A method is proposed which is based on the minimization of the average condition number across the frequency range. If many possible locations are available, however, this can involve excessive calculation. An approximate method is therefore proposed which results in consistently good location selection for use in inverse force determination but involves much less computational effort. The error reduction in reconstructed forces is found to be significant in numerical simulations on a simply supported plate and in validation experiments.Published here -
Thite A, Thompson D, 'The quantification of structure-borne transmission paths by inverse methods. Part 1: Improved singular value rejection methods'
Journal of Sound and Vibration 264 (2) (2003) pp.411-431
ISSN: 0022-460XAbstractStructure-borne sound from installed machinery is often transmitted into a receiver structure via many connection points and several co-ordinate directions at each of them. In order to quantify the contributions from the various connection points, the operational forces at the interfaces, or an equivalent set of forces at some other locations, should be determined. These forces may be combined with measured transfer functions to determine their contributions to the sound at the receiver locations. Inverse methods are becoming widely used, in which a matrix of measured accelerances is inverted at each frequency and used with operational acceleration data to find the forces. Due to poor conditioning of this matrix, however, the results can often be unreliable. In this paper, using both simulations and measurements, an assessment is made of the success and failure of various strategies for dealing with the problems of ill conditioning, in particular over-determination and singular value rejection. In each case the test structure is a rectangular plate, and a wide frequency range is covered to include regions of both low and high modal overlap. Critical for the rejection of singular values is a suitable threshold. It is established that previously used thresholds, based on estimates of error in either accelerances or operational responses, cannot be used universally. An alternative approach is developed in which the accelerance matrix is perturbed by a different amount for each sample of the operational responses. Based on this approach a more robust strategy is proposed which takes account simultaneously of the effect of errors in both the accelerances and operational responses.Published here -
Thite A, Thompson D, 'The quantification of structure-borne transmission paths by inverse methods. Part 2: Use of regularization techniques'
Journal of Sound and Vibration 264 (2) (2003) pp.433-451
ISSN: 0022-460XAbstractThe inversion of an ill-conditioned matrix of measured data lies at the heart of procedures for the quantification of structure-borne sources and transmission paths. In an earlier paper the use of over-determination, singular value decomposition and the rejection of small singular values was discussed. In the present paper alternative techniques for regularizing the matrix inversion are considered. Such techniques have been used in the field of digital image processing and more recently in relation to nearfield acoustic holography. The application to structure-borne sound transmission involves matrices, which vary much more with frequency and from one element to another. In this study Tikhonov regularization is used with the ordinary cross-validation method for selecting the regularization parameter. An iterative inversion technique is also studied. Here a form of cross-validation is developed allowing an optimum value of the iteration parameter to be selected. Simulations are carried out using a rectangular plate structure to assess the relative merits of these techniques. Experiments are also performed to validate the results. Both techniques are found to give considerably improved results compared to singular value rejection.Published here
Books
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Gokhale N, Deshpande S, Bedekar S, Thite A, Practical finite element analysis, Finite to Infinite (2008)
ISBN: 9788196619509AbstractFEA is gaining popularity day by day & is a sought after dream career for mechanical engineers. Enthusiastic engineers and managers who want to refresh or update the knowledge on FEA are encountered with volume of published books. Often professionals realize that they are not in touch with theoretical concepts as being pre-requisite & find it too mathematical and Hi-Fi. Many a times these books just end up being decoration in their book shelves... Authors of this book are from lIT's & IISc and after joining the industry realized gap between university education & the practical FEA. Over the years they learned it via interaction with experts from international community, sharing experience with each other & hard route of trial & error method. The basic aim of this book is to share the knowledge & practices used in the industry with experienced & in particular beginners. so as to reduce the learning curve & avoid reinvention of the cycle. Emphasis is on simple language, practical usage, minimum mathematics & no pre-requisites. All basic concepts of engineering are included as & where it is required. It is hoped that this book would be helpful to beginners, experienced users, managers, group leaders and as additional reading material for university courses.
Book chapters
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Nilsson C, Thite A, Jones C, Thompson D, 'Estimation of sound transmission through extruded panels using a coupled waveguide finite element-boundary element method ' in Noise and Vibration Mitigation for Rail Transportation Systems, Springer (2008)
ISBN: 9783540748922AbstractA coupled waveguide finite element and wavedomain boundary element method is presented. This numerical method is suitable for analysing systems with uniform properties along one direction, but with complex cross-sections. Subsequently the transmission loss through an extruded aluminium panel, of a type commonly used in railway carriages, is calculated and compared to measurements.Published here
Conference papers
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Thite AN, Mace BR, 'Energy distribution analysis of built-up structures: numerical issues, structural modification and application to a multiple plate structure'
(2006)
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Mace B, Ji L, Thite A, 'SEA and coupling loss factors of coupled sets of oscillators'
(2005)
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Choi HG, Thite AN, Thompson DJ, 'Methods for selecting sensor locations for improving indirect force determination'
(2004)
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Mace B, Thite A, 'Robust estimation of coupling loss factors from finite element analysis'
(2004)
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Thite A, Thompson D, 'A systematic evaluation of different methods to improve inverse force determination'
Acustica 89 (SUPP.) (2003)
Published here -
Thite AN, Thompson DJ, 'Measurement location selection to improve inverse force determination'
(2003)
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Thite AN, Thompson DJ, 'Use of regularisation techniques to identify structure-borne noise sources'
(2001) pp.903-906
ISBN: 9080655422 (CD-ROM)
Other publications
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Brennan MJ, Thite AN, Joseph PF, 'Feasibility Study into the reduction of sound radiation from a power transformer using vibration isolators and absorbers', (2007)
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Thite AN, Thompson DJ, 'A New Engine Head Simulator Design for Spatial Transmissibility Measurements.', (2004)
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Thite AN, Thompson DJ, 'Feasibility Study to Investigate the Dominant Direction of Vibration Transmission from an Engine Block to a Front Cover.', (2004)
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Thite AN, Thompson DJ, 'Spatial Transmissibility Measurements of Triton Engine Valve Covers Made of Aluminium, Composite and Steel Material Mounted on Engine Head.', (2004)
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Thite AN, 'Inverse determination of structure-borne sound sources', (2003)
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Thompson DJ, Back I, Thite AN, 'Airborne Sound Transmission through Engine Valve Covers.', (2002)
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Thompson DJ, Back I, Thite AN, 'Measurements of Sound Radiation by a Steel Valve Cover.', (2002)
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Thite A, Thompson D, 'Experimental validation of force identification techniques', (2001)
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Ferguson NS, Jewell GA, 'The development and use of a noise control materials database', (2001)
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Thite A, Thompson D, 'Use of regularization techniques to identify structure-borne noise sources', (2001)
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Thite A, Thompson D, 'Further study of indirect force determination and transfer path analysis using numerical simulations for a flat plate', (2000)
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Thite A, Thompson D, 'Study of regularized solutions to improve the indirect force determination and transfer path analysis using numerical simulations for a flat plate', (2000)
Professional information
Memberships of professional bodies
- Editorial board member of Journal, Advances in Mechanical Engineering (AME), published by SAGE.
- Fellow of the Higher Education Academy of UK.
Further details
Other experience
- Research Fellow (funded by an EPSRC project), ISVR, University of Southampton, (2006-2007).
- Research Fellow (funded by the Leverhulme Trust), ISVR, University of Southampton, (2003-2006).
- Ford Research Fellow, ISVR, University of Southampton, (2002-3).
- Senior Engineer - NVH Analysis, Mahindra & Mahindra Ltd, India (1994-1999).