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Bai, Yuguang, Zhang, Youwei, Liu, Tingting, Kennedy, David and Williams, Fred 2019. Numerical predictions of wind induced buffeting vibration for structures by a developed pseudo excitation method. Journal of Low Frequency Noise, Vibration and Active Control 38 (2) , pp. 510-526. 10.1177/1461348419828248 |
Bai, Yuguang, Sun, Dongke, Lin, Jiahao, Kennedy, David and Williams, Frederic Ward 2012. Numerical aerodynamic simulations of a NACA airfoil using CFD with block-iterative coupling and turbulence modelling. International Journal of Computational Fluid Dynamics 26 (2) , pp. 119-132. 10.1080/10618562.2011.646997 |
Xu, W. T., Zhang, Y. H., Lin, J. H., Kennedy, David and Williams, Frederic Ward 2011. Sensitivity analysis and optimization of vehicle-bridge systems based on combined PEM-PIM strategy. Computers and Structures 89 (3-4) , pp. 339-345. 10.1016/j.compstruc.2010.11.011 |
Sun, W., Xu, W. T., Lin, J. H., Kennedy, David and Williams, Frederick Ward 2010. Ride-comfort-oriented suspension optimization using the pseudo-excitation method. Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering 224 (11) , pp. 1357-1367. 10.1243/09544070JAUTO1417 |
Zhang, Y. W., Lin, J. H., Zhao, Y., Howson, William Paul and Williams, Frederic Ward 2010. Symplectic random vibration analysis of a vehicle moving on an infinitely long periodic track. Journal of Sound and Vibration 329 (21) , pp. 4440-4454. 10.1016/j.jsv.2010.05.004 |
Williams, Frederic Ward and Kennedy, David 2010. Historic, Recent and Ongoing Applications of the Wittrick-Williams Algorithm. Computational Technology Reviews 2 , pp. 223-246. 10.4203/ctr.2.10 |
Zhang, Z. C., Lin, J. H., Zhang, Y., Howson, William Paul and Williams, Frederic Ward 2010. Non-stationary random vibration analysis of coupled vehicle-bridge systems. Engineering Computations 27 (6) , pp. 712-732. 10.1108/02644401011062108 |
Zhang, Z. C., Lin, J. H., Zhang, Y. H., Zhao, Y., Howson, William Paul and Williams, Frederic Ward 2010. Non-stationary random vibration analysis for train-bridge systems subjected to horizontal earthquakes. Engineering Structures 32 (11) , pp. 3571-3582. 10.1016/j.engstruct.2010.08.001 |
Zhang, Z. C., Lin, J. H., Zhang, Y. H., Howson, William Paul and Williams, Frederic Ward 2010. Non-stationary random vibration analysis of three dimensional train-bridge systems. Vehicle System Dynamics, International Journal of Vehicle Mechanics and Mobility 48 (4) , pp. 457-480. |
Zhao, Y., Zhang, Y. H., Lin, J. H., Howson, William Paul and Williams, Frederic Ward 2010. Analysis of stationary random responses for non-parametric probabilistic systems. Shock and Vibration 17 (3) , pp. 305-315. 10.3233/SAV-2010-0513 |
Lu, F., Lin, J. H., Kennedy, David and Williams, Frederic Ward 2009. An algorithm to study non-stationary random vibrations of vehicle-bridge systems. Computers & Structures 87 (3-4) , pp. 177-185. 10.1016/j.compstruc.2008.10.004 |
Gao, Q., Lin, J. H., Zhong, W. X., Howson, William Paul and Williams, Frederic Ward 2009. Isotropic layered soil-structure interaction caused by stationary random excitations. International Journal of Solids and Structures 46 (3-4) , pp. 455-463. 10.1016/j.ijsolstr.2008.08.026 |
Xu, W. T., Lin, J. H., Zhang, Y. H., Kennedy, David and Williams, Frederic Ward 2009. 2D moving element method for random vibration analysis of vehicles on Kirchhoff plate with Kelvin foundation. Latin American Journal of Solids and Structures 6 (2) , pp. 169-183. |
Yu, X., Tan, S. J., Lin, J. H., Kennedy, David and Williams, Frederic Ward 2009. Discrete time-delay optimal control of structures under seismic excitations using the balanced reduction scheme. Journal of Vibration and Control 15 (3) , pp. 465-478. 10.1177/1077546307078248 |
Zhang, Y. H., Li, Q. S., Lin, J. H. and Williams, Frederic Ward 2009. Random vibration analysis of long-span structures subjected to spatially varying ground motions. Soil Dynamics and Earthquake Engineering 29 (4) , pp. 620-629. 10.1016/j.soildyn.2008.06.007 |
Lu, F., Kennedy, David, Williams, Frederic Ward and Lin, J. H. 2009. Non-stationary random vibration of FE structures subjected to moving loads. Shock and Vibration 16 (3) , pp. 291-305. 10.3233/SAV-2009-0469 |
Yuan, S., Ye, K., Xiao, C., Williams, Frederick Ward and Kennedy, David 2009. Implementation and evaluation of exact dynamic stiffness method for free vibration of non-uniform beams. Presented at: Proceedings of the 7th International Symposium on Vibrations of Continuous Systems, Zakopane, Poland, pp. 33-35. |
Lu, F., Kennedy, David, Williams, Frederic Ward and Lin, J. H. 2008. Symplectic analysis of vertical random vibration of coupled vehicle-track systems. Journal of Sound and Vibration 317 (1-2) , pp. 236-249. 10.1016/j.jsv.2008.03.004 |
Gao, Q, Lin, J.H., Zhong, W.X., Howson, William Paul and Williams, Frederick Ward 2008. Propagation of partially coherent non-stationary random waves in a viscoelastic layered half-space. Soil Dynamics and Earthquake Engineering 28 (4) , pp. 305-320. 10.1016/j.soildyn.2007.06.003 |
Dai, X. J., Lin, J. H., Chen, H. R. and Williams, Frederic Ward 2008. Random vibration of composite structures with an attached frequency-dependent damping layer. Composites Part B: Engineering 39 (2) , pp. 405-413. 10.1016/j.compositesb.2007.01.006 |
Ilanko, S. and Williams, Frederic Ward 2008. Wittrick-Williams algorithm proof of bracketing and convergence theorems for eigenvalues of constrained structures with positive and negative penalty parameters. International Journal for Numerical Methods in Engineering 75 (1) , pp. 82-102. 10.1002/nme.2247 |
Yuan, S., Ye, K., Xiao, C., Williams, Frederic Ward and Kennedy, David 2007. Exact dynamic stiffness method for frames with non-uniform Timoshenko beam vibrations and Bernoulli-Euler column buckling. Journal of Sound and Vibration 303 , pp. 526-537. 10.1016/j.jsv.2007.01.036 |
Williams, Frederic Ward, Watson, A., Howson, William Paul and Jones, A. J. 2007. Exact solutions for Sturm-Liouville problems on trees via novel substitute systems and the Wittrick-Williams algorithm. Proceedings of the Royal Society A Mathematical, Physical and Engineering Sciences 463 (2088) , pp. 3195-3224. 10.1098/rspa.2007.1905 |
Song, G., Lin, J., Zhao, Y., Howson, William Paul and Williams, Frederic Ward 2007. Robust H ∞ control for aseismic structures with uncertainties in model parameters. Earthquake Engineering and Engineering Vibration 6 (4) , pp. 409-416. 10.1007/s11803-007-0782-7 |
Qi, Zhaohui, Kennedy, David and Williams, Frederick Ward 2006. A highly stable and accurate computational method for eigensolutions in structural dynamics. Computer Methods in Applied Mechanics and Engineering 195 (33-36) , pp. 4050-4059. 10.1016/j.cma.2005.08.007 |
Williams, Frederick Ward and Ilanko, S 2006. The use of the reciprocals of positive and negative inertial functions in asymptotic modelling. Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences 462 (2070) , pp. 1909-1915. 10.1098/rspa.2005.1643 |
Gao, Q., Lin, J. H., Zhong, W. X. and Williams, Frederic Ward 2006. Propagation of non-stationary random waves in viscoelastic stratified solids. Computers and Geotechnics 33 (8) , pp. 444-453. 10.1016/j.compgeo.2006.07.008 |
Lu, F., Gao, Q., Lin, J. H. and Williams, Frederic Ward 2006. Non-stationary random ground vibration due to loads moving along a railway track. Journal of Sound and Vibration 298 (01-Feb) , pp. 30-42. 10.1016/j.jsv.2006.04.041 |
Song, G., Lin, J., Williams, Frederic Ward and Wu, Z. 2006. Precise integration strategy for aseismic LQG control of structures. International Journal for Numerical Methods in Engineering 68 (12) , pp. 1281-1300. 10.1002/nme.1765 |
Williams, Frederic Ward, Kennedy, David, Djoudi, M. S. and Yuan, S. 2006. Towards a deeper understanding of the Wittrick-Williams algorithm for solving eigenproblems. Presented at: Proceedings of EPMESC X: Computational Methods in Engineering and Science, Sanya, China, Tsinghua University Press & Springer, pp. 137-139. |
Gao, Q., Lin, J. H., Zhong, W. X., Howson, William Paul and Williams, Frederic Ward 2006. A precise numerical method for Rayleigh waves in a stratified half space. International Journal for Numerical Methods in Engineering 67 (6) , pp. 771-786. 10.1002/nme.1644 |
Gao, Q., Lin, J. H., Zhong, W. X., Howson, William Paul and Williams, Frederic Ward 2006. Random wave propagation in a viscoelastic layered half space. International Journal of Solids and Structures 43 (21) , pp. 6453-6471. 10.1016/j.ijsolstr.2005.11.007 |
Djoudi, Mohamed Salah, Kennedy, David, Williams, Frederick Ward, Yuan, S. and Ye, K. 2005. Exact substructuring in recursive Newton's method for solving transcendental eigenproblems. Journal of Sound and Vibration 280 (3-5) , pp. 883-902. 10.1016/j.jsv.2003.12.050 |
Zhang, Y. H., Lin, J. H., Williams, Frederic Ward and Li, Q. S. 2005. Wave passage effect of seismic ground motions on the response of multiply supported structures. Structural Engineering and Mechanics 20 (6) , pp. 655-672. |
Lu, H., Hou, J. and Williams, Frederic Ward 2005. Calculation of critical buckling loads for finite length externally constrained thin circular cylinders. Communications in Numerical Methods in Engineering 21 (5) , pp. 259-267. 10.1002/cnm.746 |
Kennedy, David, O'Leary, O. J. and Williams, Frederic Ward 2005. Optimum design of prismatic plate assemblies with spectral gap constraints. Presented at: Proceedings of the 5th International Symposium on Vibrations of Continuous Systems, Berchtesgaden, Germany, pp. 36-38. |
Williams, Frederic Ward, Kennedy, David, Djoudi, M. S. and Yuan, S. 2005. A new relationship between linear and transcendental eigenproblems. Presented at: Proceedings of the 5th International Symposium on Vibrations of Continuous Systems, Berchtesgaden, Germany, pp. 87-89. |
Williams, Frederick Ward, Howson, William Paul and Watson, Andrew 2004. Application of the Wittrick-Williams algorithm to the Sturm-Liouville problem on homogenous trees: a structural mechanics analogy. Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences 460 (2045) , pp. 1243-1268. 10.1098/rspa.2003.1195 |
Williams, Frederick Ward, Kennedy, David and Djoudi, Mohamed Salah 2004. Exact determinant for infinite order FEM representation of a Timoshenko beam-column via improved transcendental member stiffness matrices. International Journal for Numerical Methods in Engineering 59 (10) , pp. 1355-1371. 10.1002/nme.919 |
Williams, Frederick Ward, Ye, K S and Yuan, S 2004. Second order mode-finding method in dynamic stiffness matrix methods. Journal of Sound and Vibration 269 (3-5) , pp. 689-708. 10.1016/S0022-460X(03)00126-3 |
Lin, J. H., Zhang, Y. H., Li, Q. S. and Williams, Frederic Ward 2004. Seismic spatial effects for long-span bridges, using the pseudo excitation method. Engineering Structures 26 (9) , pp. 1207-1216. 10.1016/j.engstruct.2004.03.019 |
Qi, Z., Kennedy, David and Williams, Frederic Ward 2004. An accurate method for transcendental eigenproblems with a new criterion for eigenfrequencies. International Journal of Solids and Structures 41 (11-12) , pp. 3225-3242. 10.1016/j.ijsolstr.2004.01.022 |
Zhong, W. X., Wu, Z. G., Gao, Q., Leung, A. Y. T. and Williams, Frederic Ward 2004. Modal synthesis method for norm computation of H? decentralized control systems (I). Applied Mathematics and Mechanics 25 (2) , pp. 123-134. |
Zhong, W. X., Wu, Z. G., Gao, Q., Leung, A. Y. T. and Williams, Frederic Ward 2004. Modal synthesis method for norm computation of H? decentralized control systems (II). Applied Mathematics and Mechanics 25 (2) , pp. 135-142. 10.1007/BF02437314 |
Williams, Frederic Ward, Djoudi, M. S., Howson, William Paul, Kennedy, David, Watson, A., Yuan, S. and Zhong, W. X. 2004. Recent transcendental eigensolution advances in structural engineering and other disciplines. Presented at: Proceedings of 6th World Congress on Computational Mechanics in conjunction with the 2nd Asian Pacific Congress on Computational Mechanics, Beijing, China, pp. 734-739. |
Williams, Frederick Ward 2003. Buckling of columns with internal slide release: a recent erroneous conclusion and lessons from it. International Journal of Structural Stability and Dynamics 3 (4) , pp. 585-592. 10.1142/S0219455403001063 |
Williams, Frederick Ward, Kennedy, David and Djoudi, Mohamed Salah 2003. The member stiffness determinant and its uses for the transcendental eigenproblems of structural engineering and other disciplines. Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences 459 (2032) , pp. 1001-1019. 10.1098/rspa.2002.1074 |
Watson, A., Kennedy, David, Williams, Frederic Ward and Featherston, Carol Ann 2003. Buckling and vibration of stiffened panels or single plates with clamped ends. Advances in Structural Engineering 6 (2) , pp. 135-144. 10.1260/136943303769013228 |
Williams, Frederic Ward and Kennedy, David 2003. Derivation of new transcendental member stiffness determinant for vibrating frames. International Journal of Structural Stability and Dynamics 3 (2) , pp. 299-305. |
Yuan, S., Ye, K., Williams, Frederic Ward and Kennedy, David 2003. Recursive second order convergence method for natural frequencies and modes when using dynamic stiffness matrices. International Journal for Numerical Methods in Engineering 56 , pp. 1795-1814. 10.1002/nme.640 |
Zhong, W. X., Williams, Frederic Ward and Leung, A. Y. T. 2003. Symplectic analysis for periodical electro-magnetic waveguides. Journal of Sound and Vibration 267 , pp. 227-244. 10.1016/S0022-460X(02)01451-7 |
Kennedy, David, Williams, Frederic Ward and Yuan, S. 2003. Analogies between transcendental and linear eigenproblems. Presented at: Proceedings of 8th International Conference on Recent Advances in Structural Dynamics, Southampton, UK, p. 12. |
Williams, Frederic Ward and Kennedy, David 2003. Analogous behaviour of transcendental and linear eigensolutions for free vibration of structures. Presented at: Proceedings of 4th International Symposium on Vibrations of Continuous Systems, Keswick, UK, pp. 57-59. |
Yuan, S., Cheng, X., Ye, K. S. and Williams, Frederick Ward 2003. An exact dynamic stiffness method for the free vibration problem of non-uniform beams. Presented at: Proceedings of the 4th International Symposium on Vibrations of Continuous Systems, Keswick, UK, |
Zhong, W. X., Leung, A. Y. T. and Williams, Frederick Ward 2003. Energy band analysis for periodical wave-guides Keynote Paper. Presented at: Computational Methods in Engineering and Science: Proceedings of the 9th International Conference on Enhancement and Promotion of Computational Methods in Engineering and Science (EPMESC IX), Macao, China, A.A. Balkema Publishers, pp. 171-148. |
Qiu, J. B., Williams, Frederic Ward and Qiu, Renxi 2003. A new exact substructure method using mixed modes. Journal of Sound and Vibration 266 (4) , pp. 737-757. 10.1016/S0022-460X(02)01320-2 |
Zhu, J. F., Zhang, G., Howson, William Paul and Williams, Frederic Ward 2003. Reference surface element modelling of composite plate/shell delamination buckling and post-buckling. Composite Structures 61 (3) , pp. 255-264. 10.1016/S0263-8223(03)00016-3 |
Williams, Frederic Ward, Howson, William Paul, Kennedy, David and Watson, A. 2003. A summary of recent and current work on development of transcendental eigensolvers and their applications. Presented at: Proceedings of the 11th International Conference on Computational and Experimental Engineering and Sciences, Corfu, Greece, p. 6. |
Williams, Frederic Ward, Howson, William Paul and Watson, A. 2003. Exact multi-level transcendental eigenvalue solution method by analogy with the natural frequencies of structures. Presented at: Proceedings of the 4th International Symposium on Vibrations of Continuous Systems, Keswick, UK, |
Williams, Frederic Ward, Watson, A., Howson, William Paul and Kennedy, David 2003. Recent discoveries related to the use of the Wittrick-Williams algorithm to solve transcendental eigenproblems. Presented at: Proceedings of the 9th International Conference on Computational Methods in Engineering and Science:, Macao, China, pp. 139-149. |
Williams, Frederic Ward, Yuan, S., Ye, K., Kennedy, David and Djoudi, M. S. 2002. Towards deep and simple understanding of the transcendental eigenproblem of structural vibrations. Journal of Sound and Vibration 256 (4) , pp. 681-693. 10.1006/jsvi.2002.5016 |
Lillico, M., Butler, R., Hunt, G .W., Watson, A., Kennedy, David and Williams, Frederic Ward 2002. Analysis and testing of a postbuckled stiffened panel. AIAA Journal 40 (5) , pp. 996-1000. |
Williams, Frederic Ward and Kennedy, David 2002. An overview of application of the recently discovered member stiffness determinant when solving the transcendental eigenproblems of structural engineering. Presented at: Proceedings of the 2nd International Conference on Structural Stability and Dynamics, Singapore, pp. 243-248. |
Zhong, W. X., Wu, Z. G., Gao, Q., Leung, A. Y. T. and Williams, Frederick Ward 2002. Modal synthesis method for H∞ decentralized control (Keynote Paper). Presented at: Proceedings of the 5th International Conference on Vibration Engineering, Nanjing, China, pp. 762-770. |
Williams, Frederic Ward, Watson, A. and Howson, William Paul 2002. Aspects of structural vibration behaviour related to solving by structural analogy the mathematical eigenvalue problem for homogeneous trees of differential equations. Presented at: Proceedings of the 2nd International Conference on Structural Stability and Dynamics, Singapore, pp. 249-253. |
Zhong, Wanxie, Howson, William Paul and Williams, Frederick Ward 2001. H8 control state feedback and Rayleigh quotient. Computer Methods in Applied Mechanics and Engineering 191 (3-5) , pp. 489-501. 10.1016/S0045-7825(01)00286-9 |
O'Leary, O. J., Williams, Frederic Ward and Kennedy, David 2001. Optimum stiffened panel design with fundamental frequency constraint. Thin-Walled Structures 39 (7) , pp. 555-569. 10.1016/S0263-8231(01)00022-2 |
Chen, H. B., Lu, P., Howson, William Paul and Williams, Frederic Ward 2001. An effective method for calculating values on and near boundaries in the hybrid displacement BEM. Mechanics Research Communications 28 (2) , pp. 199-206. |
Kennedy, David, Williams, Frederic Ward, Djoudi, M. S. and Yuan, S. 2001. Equivalences between transcendental and linear eigenvalue problems of free structural vibration. Presented at: Proceedings of the 3rd International Symposium on Vibrations of Continuous Systems, Jackson Lake, Wyoming, USA, pp. 36-38. |
Lin, J. H., Guo, X. L., Zhi, H., Howson, William Paul and Williams, Frederic Ward 2001. Computer simulation of structural random loading identification. Computers and Structures 79 (4) , pp. 375-387. 10.1016/S0045-7949(00)00154-1 |
Zhong, W. X., Howson, William Paul and Williams, Frederic Ward 2001. Precise solutions for surface wave propagation in stratified material. Journal of Vibration and Acoustics 123 (2) , pp. 198-204. 10.1115/1.1350567 |
Williams, Frederic Ward, Howson, William Paul and Watson, A. 2001. A methodology for finding inter-disciplinary applications of the Wittrick-Williams algorithm, (Keynote Paper). Presented at: Proceedings of the 8th International Conference on Enhancement & Promotion of Computational Methods in Engineering & Science (EPMESC VIII), Shanghai, China, pp. 143-155. |
Zhao, J. H., Jing, X .N., Howson, William Paul and Williams, Frederic Ward 2001. Stress analysis of a multilayered composite cylinder with broken fibres over a finite region. Composites Science and Technology 61 (16) , pp. 2361-2370. 10.1016/S0266-3538(01)00081-1 |
Williams, Frederic Ward, Zhong, W. X., Howson, William Paul and Watson, A. 2001. Useful analogies with finding natural frequencies of structures from dynamic stiffness matrix formulations. Presented at: Proceedings 3rd International Symposium on Vibrations of Continuous Systems, Wyoming, USA, pp. 76-78. |
Williams, Fred Ward and Kennedy, David 1997. VICONOPT: Analysis and design code for prismatic assemblies of laminated plates. Final report of the GARTEUR Action Group on Structural Optimisation SM(AG13): A compendium of European Software Facilities for Stiffened Panel Design and Multi-Level Optimisation, Vol. 2. Farnborough: Defence Evaluation and Research Agency (DERA), |
Williams, Fred Ward, York, C. B., Kennedy, David and Butler, R. 1997. Parametric study of stiffened wing panels of dornier benchmark problem. Final report of the GARTEUR Action Group on Structural Optimisation SM(AG13): Assessment of Benchmark Problems on Stiffened Panel Design and Multi-level Optimization, Vol. 3. Farnborough: Defence Evaluation and Research Agency (DERA), |
Williams, Fred Ward, Kennedy, David and Williams, P. W. L. 1997. Current experience of the use of the stiffened panel design software VICONOPT in optimum design of aircraft. Engineering Optimization 29 (1-4) , pp. 39-48. 10.1080/03052159708940985 |
Kennedy, David, Williams, Fred Ward and Anderson, Melvin S. 1994. Buckling and vibration analysis of laminated panels using VICONOPT. Journal of Aerospace Engineering 7 (3) , pp. 245-262. 10.1061/(ASCE)0893-1321(1994)7:3(245) |
York, C. B., Williams, Fred Ward, Kennedy, David and Butler, R. 1993. A parametric study of optimum designs for benchmark stiffened wing panels. Composites Engineering 3 (7-8) , pp. 619-632. 10.1016/0961-9526(93)90086-Y |
Butler, R. and Williams, Fred Ward 1993. Optimum buckling design of compression panels using VICONOPT. Structural Optimization 6 (3) , pp. 160-165. 10.1007/BF01743508 |