Department of
Mechanical, Materials and Manufacturing Engineering
   
   
  
 

Stewart McWilliam

Associate Professor, Faculty of Engineering

Contact

Expertise Summary

Dr McWilliam has research expertise in structural dynamics and stochastic mechanics, including: structural vibration, random vibration, structural reliability, and uncertainty analysis. In general, this research is involved in the development and application of analytical and numerical (e.g. Finite Element Method) analysis methods to predict and better understand the performance of engineering structures. Engineering applications relate to the dynamics of offshore structures, aerospace and automotive structures, and include the analysis of offshore mooring systems; sensors, actuators and Microsystems; and gas turbine transmission systems. Further details of Dr McWilliam's expertise can be found under the heading "Current Research".

Research Summary

Dr McWilliam is a core member of the Structural Integrity & Dynamics Group at the University of Nottingham and has extensive research experience in the areas of structural dynamics, random… read more

Selected Publications

Current Research

Dr McWilliam is a core member of the Structural Integrity & Dynamics Group at the University of Nottingham and has extensive research experience in the areas of structural dynamics, random vibration, structural reliability and uncertainty analysis. In general, this research is involved in the development and application of analytical and numerical (e.g. Finite Element Method) analysis techniques to predict and understand the performance of engineering structures. Current areas of interest include:

Dynamics and reliability of large-volume offshore structures - Dr McWilliam has used and developed mathematical techniques (e.g. functional techniques and the FPK equation) for predicting the probability of failure of structures subjected to stochastic loading (Gaussian and second order Volterra processes). Some of this work was developed in conjunction with the offshore industry and the general aim is to assess the reliability of compliant offshore structures moored in random seas.

Design, modelling and analysis of MEMS resonators - The majority of this work relates to the development of mathematical models of silicon ring resonators to predict the performance of miniaturised vibrating gyroscopes used to detect angular velocity, and is performed in conjunction with BAE systems (Plymouth and Sowerby). Research strands include: the development of new sensor concepts; understanding the influence of (deterministic and statistical) manufacturing uncertainty on device performance; developing strategies to nullify the effects of uncertainty to improve device performance; quantifying the influence of non-linearity (geometric and electrostatic) and damping mechanisms (thermoelastic, squeeze-film and support loss); and designing for improved performance using mathematical optimization (genetic algorithms) and robust design theory.

Uncertainty in Engineering - Arising from interests in the stochastic response of structures and the influence of manufacturing imperfections on MEMS devices, a distinct focus of Dr McWilliam's current research is the development of mathematical methods (montonic method, convex modelling) for analysing the influence of uncertainty (particularly interval parameter uncertainty) on the performance of vibrating structures.

Future Research

Dr McWilliam's future research will focus on the areas of MEMS and uncertainty analysis. MEMS technology is fundamental to the development of sensors and actuators for future generations, and Dr McWilliam aims to contribute to these developments by applying his research expertise to the development of new device concepts and analysis tools to aid the manufacture of high-performance, high-yield devices. A particularly important area for consideration is the presence of structural, process and material uncertainties, which can severely degrade device performance and reduce yield. Dr McWilliam's future research aims to develop analysis techniques that are capable of analysing the effects of such uncertainties on the performance of micro-engineered systems, and aid the development of MEMS designs that are robust to manufacturing uncertainty.

  • RUPESH PATEL, YOSHIKAZU TANAKA, STEWART MCWILLIAM, HIDEMI MUTSUDA and ATANAS POPOV, 2016. Simply-supported multi-layered beams for energy harvesting Journal of Intelligent Material Systems and Structures.
  • HOSSAIN, S.T., MCWILLIAM, S. and POPOV, A.A., 2016. An investigation on thermoelastic damping of high-Q ring resonators International Journal of Mechanical Sciences. 106, 209-219
  • PATEL, R., TANAKA, Y., MCWILLIAM, S., MUTSUDA, H. and POPOV, A. A., 2016. Model refinements and experimental testing of highly flexible piezoelectric energy harvesters: Journal of Sound and Vibration Journal of Sound and Vibration. 368, 87-102
  • TANAKA, Y., OKO, T., MUTSUDA, H., PATEL, R., MCWILLIAM, S. and POPOV, A. A., 2015. An experimental study of wave power generation using a flexible piezoelectric device Journal of Ocean and Wind Energy. 2(1), 28-36
  • TANAKA, Y., OKO, T., MUTSUDA, H., POPOV, A. A., PATEL, R. and MCWILLIAM, S., 2014. Forced vibration experiments on flexible piezoelectric devices operating in air and water environments: International Journal of Applied Electromagnetics and Mechanics International Journal of Applied Electromagnetics and Mechanics. 45(1-4), 573-580
  • TANAKA, YOSHIKAZU, OKO, TAKUYA, MUTSUDA, HIDEMI, POPOV, ATANAS A., PATEL, RUPESH and MCWILLIAM, STEWART, 2014. Forced vibration experiments on flexible piezoelectric devices operating in air and water environments INTERNATIONAL JOURNAL OF APPLIED ELECTROMAGNETICS AND MECHANICS. 45(1-4), 573-580
  • PATEL, R., MCWILLIAM, S. and POPOV, A. A., 2014. Optimization of piezoelectric cantilever energy harvesters including non-linear effects SMART MATERIALS AND STRUCTURES. 23(8),
  • YANG, Z., MCWILLIAM, S., POPOV, A.A. and HUSSAIN, T., 2013. A probabilistic approach to variation propagation control for straight build in mechanical assembly International Journal of Advanced Manufacturing Technology. 64(5-8), 1029-1047
  • Z. YANG, S. MCWILLIAM, A.A. POPOV, T. HUSSAIN and H. YANG, 2013. Dimensional Variation Propagation Analysis in Straight-Build Mechanical Assemblies Using a Probabilistic Approach Journal of Manufacturing Systems. 32(2), 348-356
  • CHOUVION, B., MCWILLIAM, S., POPOV, A.A. and FOX, C.H.J., 2012. Review and comparison of different support loss models for micro-electro-mechanical systems resonators undergoing in-plane vibration Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science. 226(1), 283-295
  • MAK, K.H., POPOV, A.A. and MCWILLIAM, S., 2012. Experimental model validation for a nonlinear energy harvester incorporating a bump stop Journal of Sound and Vibration. 331(11), 2602–2623
  • YANG, Z., POPOV, A.A. and MCWILLIAM, S., 2012. Variation propagation control in mechanical assembly of cylindrical components Journal of Manufacturing Systems. 31(2), 162-176
  • CHOUVION, B., POPOV, A.A., MCWILLIAM, S. and FOX, C.H.J., 2011. Vibration modelling of complex waveguide structures Computers & Structures. 89(11-12), 1253-1263
  • MAK, K.H., MCWILLIAM, S., POPOV, A.A. and FOX, C.H.J., 2011. Performance of a cantilever piezoelectric energy harvester impacting a bump stop Journal of Sound and Vibration. 330(25), 6184-6202
  • PATEL, R., MCWILLIAM, S. and POPOV, A.A., 2011. A geometric parameter study of piezoelectric coverage on a rectangular cantilever energy harvester Smart Materials and Structures. 20(8), 085004
  • YANG, Z, HUSSAIN, T, POPOV, AA and MCWILLIAM, S, 2011. Novel Optimization Technique For Variation Propagation Control In An Aero-Engine Assembly Proceedings Of The Institution Of Mechanical Engineers Part B-Journal Of Engineering Manufacture. 225(B1), 100-111
  • HUSSAIN, T., YANG, Z., POPOV, A.A. and MCWILLIAM, S., 2011. Straight-build Assembly Optimization: A method to minimize stage-by-stage eccentricity error in the assembly of axisymmetric rigid body components (two-dimensional case study) Journal of Manufacturing Science and Engineering - Transactions of the ASME. 133(3), 031014
  • MAK, K.H., MCWILLIAM, S. and POPOV, A.A., 2011. Modelling a Nonlinear Piezoelectric Energy Harvester Impacting a Bump Stop In: 7th European Nonlinear Dynamics Conference, July 24-29, 2011, Rome.
  • CHOUVION, B., FOX, C.H.J., MCWILLIAM, S. and POPOV, A.A., 2010. In-plane free vibration analysis of combined ring-beam structural systems by wave propagation Journal of Sound and Vibration. 329(24), 5087-5104
  • NASIR, T., YOUSIF, B.F., MCWILLIAM, S., SALIH, N.D. and HUI, L.T., 2010. An Artificial Neural Network For Prediction Of The Friction Coefficient Of Multi-Layer Polymeric Composites In Three Different Orientations Proceedings Of The Institution Of Mechanical Engineers Part C-Journal Of Mechanical Engineering Science. 224(C2), 419-429
  • YOUSIF, B.F., LAU, S.T.W. and MCWILLIAM, S., 2010. Polyester Composite Based On Betelnut Fibre For Tribological Applications Tribology International. 43(1-2), 503-511
  • MAK, K.H., MCWILLIAM, S., POPOV, A.A. and FOX, C.H.J., 2010. Performance of a piezoelectric energy harvester based on a cantilever beam with impact In: International Conference on Recent Advances in Structural Dynamics.
  • HUSSAIN, T., YANG, Z., POPOV, A.A. and MCWILLIAM, S., 2010. Controlling variation propagation in straight-build assemblies using optimization methods (2D case study) In: 21st International Computer-Aided Production Engineering Conference (CAPE 2010), Edinburgh.
  • PATEL, R., MCWILLIAM, S. and POPOV, A.A., 2010. Improved Parametric Study of a Piezoelectric Energy Harvester with Experimental Validation In: Proceedings Power MEMS.
  • MAK, K.H., MCWILLIAM, A., POPOV, A.A. and FOX, C.H.J., 2010. Vibro-impact dynamics of a piezoelectric energy harvester In: Proceeding of the IMAC-XXVIII, 1-4 February 2010, Jacksonville, Florida, USA, ed. Society for Experimental Mechanics Inc..
  • PATEL, R., POPOV, A.A. and MCWILLIAM, S., 2009. Vibration energy harvesting devices Recent patents on Mechanical Engineering. 2(2), 80-92
  • YANG, Z., HUSSAIN, T., POPOV, A.A. and MCWILLIAM, S., 2009. A comparison of different optimization techniques for variation propagation control in mechanical assemblies In: Trends in Aerospace Manufacturing 2009. 012017
  • CHOUVION, B., MCWILLIAM, S., FOX, C.H.J. and POPOV, A.A., 2009. Vibration analysis of a MEMS ring-based rate sensor by the ray tracing method In: International Congress on Sound and Vibration ICSV16, Krakow, Poland, June 2009. 1-8
  • PATEL, R. and MCWILLIAM, S., 2009. Parametric study of a cantilever piezoelectric energy harvester In: Proceedings Power MEMS 2009, Washington DC, U.S.A., 1-4 Decemeber 2009. 376-379
  • PATEL, R., POPOV, A.A and MCWILLIAM, S., 2009. Parametric study of a cantilevered piezoelectric energy harvester In: Proceedings PowerMEMS 2009, Washington DC, U.S.A., 1-4 December 2009.. 376-379
  • SERANDOUR, G., FOX, C.H.J. and MCWILLIAM, S., 2009. Non-linear effects in an electrostatically actuated MEMS ring resonator In: Technical Digest of Recent Advanced in Nonlinear Mechanics 2009, Kuala Lumpur, Malaysia, August 2009 (2 pages).
  • SERANDOUR, G., MCWILLIAM, S. and FOX, C.H.J., 2009. Geometric non-linearity in a MEMS ring-resonatorng resonator In: Technical Digest of Recent Advances in Nonlinear Mechanics, Kuala Lumpur, Malaysia, August 2009 (2 pages).
  • CHOUVION, B., MCWILLIAM, S. and POPOC, A.A., 2009. Vibration analysis of a MEMS ring-based rate sensor by the ray tracing method In: International Congress on Sound and Vibration ICSV16, Krakow, Poland, June 2009. pp. 1-8.
  • COULTATE, J.K., FOX, C.H.J., MCWILLIAM, S. and MALVERN, A.R., 2008. Application of optimal and robust design methods to a MEMS accelerometer. Sensors and actuators A: Physical. 142(1), 88-96
  • ELLIOTT, R., FOX, C.H.J. and MCWILLIAM, S., 2008. Modal identification of a vibrating ring-based single-axis rate sensor In: Proceedings ISMA 2008, Leuven, Belgium. 8 pages..
  • FOX, C.H., CHEN, X. and MCWILLIAM, S., 2007. Analysis of the deflection of a circular plate with an annular piezoelectric actuator Sensors and Actuators A: Physical. 133(1), 180-194
  • JAROENSAWAT, N., MCWILLIAM, S. and FOX, C.H.J., 2007. Investigation of a modal approach for thermo-elastic damping in MEMS resonators In: Proceeding of the 2007 Annual Conference and Exposition on Experimental and Applied Mechanics. (In Press.)
  • MCWILLIAM, S., 2007. Response amplitude statistics of random structures at low frequencies In: International Conference on Uncertainty in Structural Dynamics. 291-300
  • WONG, S.J., FOX, C.H.J. and MCWILLIAM, S., 2006. Thermoelastic damping of the in-plane vibration of thin silicon rings Journal of Sound and Vibration. 293(1-2), 266-285
  • MCWILLIAM, S., 2006. Frequency Response Function analysis of uncertain structures: the Vertex Identification Method In: Proceedings of the IX International Conference on Recent Advances in Structural Dynamics. (In Press.)
  • WONG, S.J., FOX, C.H.J. and MCWILLIAM, S., 2006. A thermoelastic damping model for multi-element MEMS resonators In: Proceedings of the IX International Conference on Recent Advances in Structural Dynamics. (In Press.)
  • COULTATE, J.K., FOX, C.H.J., MCWILLIAM, S. and MALVERN, A.R., 2006. Optimisation and robust design of a MEMS accelerometer In: Proceedings of EUROSENSORS XX. (In Press.)
  • JAROENSAWAT, N., MCWILLIAM, S. and FOX, C.H.J., 2006. Thermoelastic damping in MEMS tesonators - The role of thermal and structural modes In: International Conference on Noise and Vibration Engineering. 1061-1070 (In Press.)
  • SADABA, I., FOX, C.H.J. and MCWILLIAM, S., 2006. An investigation of residual stress due to anodic bonding of glass and silicon in MEMS fabrication Applied Mechanics and Materials. 5, 501-508 (In Press.)
  • SERANDOUR, G., FOX, C.H.J. and MCWILLIAM, S., 2006. Modelling geometric non-linearity in a MEMS resonator In: Proceedings of the IX International Conference on Recent Advances in Structural Dynamics. (In Press.)
  • SADABA, I., FOX, C.H.J. and MCWILLIAM, S., 2006. A study of residual stress effects due to adhesive bonding on MEMS components Applied Mechanics and Materials. 5, 493-500 (In Press.)
  • ROURKE, A.K., MCWILLIAM, S. and FOX, C.H.J., 2005. Frequency trimming of a vibrating ring-based multi-axis rate sensor Journal of Sound and Vibration. 280(3-5), 495-530
  • MCWILLIAM, S., ONG, J. and FOX, C.H.J., 2005. On the statistics of natural frequency splitting for rings with random mass imperfections Journal of Sound and Vibration. 279(1-2), 453-470
  • COULTATE, J.K., FOX, C.H.J., MCWILLIAM, S. and MALVERN, A.R., 2005. Multi-objective optimization of a MEMS accelerometer In: Proceedings of 16th Micro-Mechanics Europe Workshop. 148-151 (In Press.)
  • ROURKE, A.K., FOX, C.H.J. and MCWILLIAM, S., 2005. A novel perturbation approach for curve veering analysis in imperfect rings In: Proceedings of International Scientific Conference, Technical University of Ostrava. 355-360 (In Press.)
  • SERANDOUR, G.B.D., FOX, C.H.J. and MCWILLIAM, S., 2005. Geometric non-linearity in rings supported by folded beams In: Proceedings of International Scientific Conference, Technical University of Ostrava. 361-364 (In Press.)
  • ROURKE, A.K., MCWILLIAM, S. and FOX, C.H.J., 2005. A perturbation approach to the curve veering phenomenum in the frequency matching of multi-axis ring modes In: Proceedings of the Sixth European Conference on Structural Dynamics. 1119-1124 (In Press.)
  • WONG, S.J., FOX, C.H.J., MCWILLIAM, S. and JAROENSAWAT, N., 2005. A simple model for thermoelastic damping in slotted beams In: Proceedings of Micro-Mechanics Europe Workshop. 144-147 (In Press.)
  • MCWILLIAM, S., 2004. Joint statistics of combined first- and second-order random processes Probabilistic Engineering Mechanics. 19(1-2), 145-154
  • CHEN, X., FOX, C.H.J. and MCWILLIAM, S., 2004. Optimization of a cantilever microswitch with piezoelectric actuation Journal of Intelligent Material Systems and Structures. 15(11), 823-834
  • CHEN, X., FOX, C.H.J. and MCWILLIAM, S., 2004. Modelling of a tunable capacitor with piezoelectric actuation Journal of Micromechanics and Microengineering. 14(9), S102-S107
  • WONG, S.J., FOX, C.H.J., MCWILLIAM, S., FELL, C.P. and ELEY, R., 2004. A preliminary investigation of thermo-elastic damping in silicon rings Journal of Micromechanics and Microengineering. 14(9), S108-S113
  • LIN, M., POPOV, A. A. and MCWILLIAM, S., 2004. Stability and performance studies of driver-vehicle systems with electronic chassis control Vehicle System Dynamics. VOL 41(SUPP), 477-486
  • SEVERN, J., MCWILLIAM, S. and FOX, C.H.J., 2004. Distribution of natural frequencies of linear stochastic systems In: Proceedings of International Conference on Noise and Vibration Engineering. 3315-3330 (In Press.)
  • C.P. FELL, C.H.J. FOX, A.K. ROURKE, S. MCWILLIAM, 2004. A rate sensing device PCT/GB2004/000694 10/01/2004 00:00:00 (In Press.)
  • SERANDOUR, G., FOX, C.H.J. and MCWILLIAM, S., 2004. Non-linear in-plane vibrations of a Coriolis based gyroscope In: Proceedings of International Conference on Noise and Vibration Engineering. 2184-2194 (In Press.)
  • WONG, S.J., FOX, C.H.J., MCWILLIAM, S., FELL,C.P. and ELEY, R., 2004. Modelling of thermo-elastic damping in a silicon ring MEMS resonator In: Proceedings of International Conference on Noise and Vibration in Engineering. 681-696 (In Press.)
  • ASHMORE, D.R., WILLIAMS, E.J. and MCWILLIAM, S., 2003. Hydrodynamic support and dynamic response for an inner-piloted bearing cage Proceedings of the Institution of Mechanical Engineers. Part G, Journal of Aerospace Engineering. 217(1), 19-28
  • CHEN,X., FOX,C.H. and MCWILLIAM,S., 2003. Feasibility study for a linearly tuneable micro-capacitor using piezoelectric film actuation In: 14th MicroMechanics Europe Workshop. 219-222
  • CHEN, X., FOX, C. H. and MCWILLIAM, S., 2003. Analysis and modeling of a two-axis thin film piezoelectric actuator Proceedings of - SPIE The International Society for Optical Engineering. VOL 5049, 371-380
  • FOX, C. H., ROURKE, A., ELEY, R., FELL, C. and MCWILLIAM, S., 2003. Multichannel and multiaxis inertial sensor concepts based on vibrating structures Proceedings of - SPIE The International Society for Optical Engineering. ISSU 5050, 259-268
  • ROURKE, A., FOX, C.H. and MCWILLIAM, S., 2003. Development and testing of a novel, multi-channel vibrating structure rate sensor In: Symposium on Gyro Technology 2003. Chapter 7
  • MCWILLIAM, S., ONG, J. and FOX, C.H., 2003. The effect of random mass imperfections on the statistical distribution of natural frequency splitting of ring structures In: Proceedings of VIII International Conference on Recent Advances in Structural Dynamics. Paper 102
  • WONG, S.J., FOX, C.H., MCWILLIAM, S., FELL, C.P. and ELEY, R., 2003. Thermoelastic damping in silicon rings undergoing in-plane flexural vibrations In: 14th MicroMechanics Europe Workshop. 223-226
  • LIN,M., POPOV,A.A. and MCWILLIAM,S., 2003. Sensitivity Analysis of Driver Characteristics in Driver-Vehicle Handling Studies. In: DORN, L., ed., Driver Behaviour and Training Ashgate Publishing Group, Aldershot & London.
  • ELEY, R., FOX, C.H. and MCWILLIAM, S., 2003. Energy density considerations in the frequency trimming of vibrating rings In: Proceedings of VIII International Conference on Recent Advances in Structural Dynamics. Paper 66
  • C.P. FELL, R. ELEY, C.H.J. FOX, S. MCWILLIAM, 2003. Vibratory gyroscopic rate sensor PCT/GB02/04057 03/01/2003 00:00:00 (In Press.)
  • C.P. FELL, R. ELEY, C.H.J. FOX, S. MCWILLIAM, 2003. Vibratory gyroscopic sensor PCT/GB02/04051 03/01/2003 00:00:00 (In Press.)
  • ROURKE, A.K., FOX, C.H.J., MCWILLIAM, S. and QIAN, Z., 2003. Frequency splitting in circular rings due to small axial thickness variations In: Proceedings of VIII International Conference on Recent Advances in Structural Dynamics. paper 68 (In Press.)
  • C. P. FELL, R. ELEY, C.H.J. FOX, S. MCWILLIAM, 2003. Vibratory gyroscope rate sensor PCT/GB02/04056 03/01/2003 00:00:00 (In Press.)
  • C.P. FELL, R. ELEY, C.H.J. FOX, S. MCWILLIAM, 2003. Vibratory gyroscopic sensor PCT/GB02/04053 03/01/2003 00:00:00 (In Press.)
  • C.P. FELL, R. ELEY, C.H.J. FOX, S. MCWILLIAM, 2003. Vibratory gyroscope rate sensor PCT/GB02/04066 03/01/2003 00:00:00 (In Press.)
  • ROURKE, A.K., MCWILLIAM, S. and FOX, C.H.J., 2002. Multi-mode trimming of imperfect thin rings using masses at pre-selected locations Journal of Sound and Vibration. 256(2), 319-346
  • ROURKE, A.K., FOX, C.H. and MCWILLIAM, S., 2002. Multi-mode trimming of ring structures In: Proceedings of IMAC XX. 873-879
  • LIN, M., POPOV, A.A. and MCWILLIAM, S., 2002. Handling Studies of Driver-Vehicle Systems with Electronic Chassis Control In: AVEC'2002 International Symposium on Advanced Vehicle Control. 261-266
  • FOX, C.H., ELEY, R., FELL, S. and MCWILLIAM, S., 2002. Development of multi-axis rate sensors based on vibrating silicon ring structures. In: Proceedings of NATO RTO Symposium on Inertial Sensor Technology.
  • MCWILLIAM, S., 2002. Joint statistics of combined first- and second-order random processes In: Proceedings of the 4th International Conference on Computational Stochastic Mechanics. 411-420 (In Press.)
  • FOX, H.J., CHEN, B., JIANG, B., KIRBY, B. and MCWILLIAM, S., 2002. Development of micromachined RF switches with piezofilm actuation In: Proceedings of SPIE - The International Society for Optical Engineering. 40-49
  • ROURKE, A.K., MCWILLIAM, S. and FOX, C.H.J., 2001. Multi-mode trimming of imperfect rings Journal of Sound and Vibration. 248(4), 695-724
  • MCWILLIAM, S., 2001. Anti-optimisation of uncertain structures using interval analysis Computers & Structures. 79(4), 421-430
  • ELEY, R., FOX, C.H.J., FELL, C.P. and MCWILLIAM, S., 2001. AMulti-axis rate sensor based on a vibrating ring structure In: Symposium on Gyro Technology. Chapter 2 (In Press.)
  • ELEY, R., FOX, C. H. J. and MCWILLIAM, S., 2000. The dynamics of a vibrating-ring multi-axis rate gyroscope Institution of Mechanical Engineers. Proceedings. Part C: Journal of Mechanical Engineering Science. VOL 214(PART 12), 1503-1514
  • MCWILLIAM, S., KNAPPETT, D. J. and FOX, C. H., 2000. Numerical solution of the stationary FPK equation using Shannon wavelets Journal of Sound and Vibration. VOL 232(PART 2), 405-430
  • ELEY, R, FOX, C.H. and MCWILLIAM, S, 2000. Natural Frequencies of Circular Rings made from Crystalline Silicon In: 4th International Conference on Modern Practice in Stress and Vibration Analysis. 431-442
  • ROURKE, A.K., MCWILLIAM, S. and FOX, C.H., 2000. Dual Mode Frequency Trimming of Imperfect Rings In: 4th International Conference on Modern Practice in Stress and Vibration Analysis. 361-372
  • ELEY, R., FOX, C. H. J. and MCWILLIAM, S., 2000. Coriolis coupling effects on the vibration of rotating rings Journal of Sound and Vibration. VOL 238(PART 3), 459-480
  • HWANG, R. S., FOX, C. H. J. and MCWILLIAM, S., 1999. The in-plane vibration of thin rings with in-plane profile variations Part I: General background and theoretical formulation Journal of Sound and Vibration. VOL 220(NUMBER 3), 497-516
  • ELEY, R., FOX, C. H. J. and MCWILLIAM, S., 1999. Anisotropy effects on the vibration of circular rings made from crystalline silicon Journal of Sound and Vibration. VOL 228(NUMBER 1), 11-36
  • FOX, C. H. J., HWANG, R. S. and MCWILLIAM, S., 1999. The in-plane vibration of thin rings with in-plane profile variations Part II: Application to nominally circular rings Journal of Sound and Vibration. VOL 220(NUMBER 3), 517-540
  • HWANG, R. S., FOX, C. H. J. and MCWILLIAM, S., 1999. Free vibrations of elliptical rings with circumferentially variable thickness JOURNAL OF SOUND AND VIBRATION. VOL 228(NUMBER 3), 683-700
  • MCWILLIAM, S., 1999. Numerical solution of the stationary FPK equation for a non-linear oscillator In: IUTAM Symposium on Non-linearity and Stochastic Structural Dynamics. 147-158 (In Press.)
  • HWANG, R.S., FOX, C.H. and MCWILLIAM, S., 1997. The free, in-plane vibration of circular rings with small thickness variations In: Proceeding of the International Conference on Recent Advances In Structural Dynamics. 1457-1470
  • MCWILLIAM, S., 1997. Extreme response analysis of non-linear systems to random vibration In: Proceedings of the International Conference on Recent Advances in Structural Dynamics. 1581-1596 (In Press.)
  • MCWILLIAM, S., 1996. Random response of catenary moored offshore vessels to non-linear wave forces International Journal of Non-Linear Mechanics. VOL 31(NUMBER 5), 755-770
  • LANGLEY, R.S and MCWILLIAM, S., 1996. Stochastic methods for offshore structures. In: CASCIATI, F. and ROBERTS, B., eds., Mathematical Methods for Structural Reliability Analysis CRC Press. 287-335
  • MCWILLIAM, S. and LANGLEY, R.S., 1994. Random response of offshore vessels to non-linear wave forces In: Proceeding of the Fifth International Conference on Recent Advances in Structural Dynamics. 724-733 (In Press.)
  • MCWILLIAM, S. and LANGLEY, R. S., 1994. Response statistics of non-linearly moored vessels under the action of first and second order wave forces APPLIED OCEAN RESEARCH. VOL 16(NUMBER 5), 295
  • LANGLEY, R. S. and MCWILLIAM, S., 1993. A statistical analysis of first and second order vessel motions induced by waves and wind gusts APPLIED OCEAN RESEARCH. VOL 15(NUMBER 1), 13
  • MCWILLIAM, S. and LANGLEY, R. S., 1993. Extreme values of first- and second-order wave-induced vessel motions APPLIED OCEAN RESEARCH. VOL 15(NUMBER 3), 169

Department of Mechanical, Manufacturing and Materials Engineering

The University of Nottingham
University Park
Nottingham, NG7 2RD


telephone: +44 (0) 115 95 14081