Sensitivity analysis and optimization of vehicle-bridge systems based on combined PEM-PIM strategy

This paper presents a new optimization method for coupled vehicle-bridge systems subjected to uneven road surface excitation. The vehicle system is simplified as a multiple rigid-body model and the single-span bridge is modeled as a simply supported Bernoulli-Euler beam. The pseudo-excitation method transforms the random surface roughness into the superposition of a series of deterministic pseudo-harmonic excitations, which enables convenient and accurate computation of first and second order sensitivity information. The precise integration method is used to compute the vertical random vibrations for both the vehicle and the bridge. The sensitivities are used to find the optimal solution, with vehicle ride comfort taken as the objective function. Optimization efficiency and computational accuracy are demonstrated numerically.

[1]  Jasbir S. Arora,et al.  Development of a multiplier method for dynamic response optimization problems , 1993 .

[2]  Jiahao Lin,et al.  Structural optimization on geometrical configuration and element sizing with statical and dynamical constraints , 1982 .

[3]  W X Zhong,et al.  DYNAMIC RESPONSE OF JACKET PLATFORM TO RANDOM WAVES , 1988 .

[4]  F. Durbin,et al.  Numerical Inversion of Laplace Transforms: An Efficient Improvement to Dubner and Abate's Method , 1974, Comput. J..

[5]  Singiresu S Rao,et al.  Optimization of airplane wing structures under landing loads , 1984 .

[6]  L Fryba,et al.  VIBRATION OF SOLIDS AND STRUCTURES UNDER MOVING LOADS (3RD EDITION) , 1999 .

[7]  M. Kawatani,et al.  Dynamic response of a monorail steel bridge under a moving train , 2006 .

[8]  Chang-Koon Choi,et al.  A new three-dimensional finite element analysis model of high-speed train–bridge interactions , 2003 .

[9]  W. Zhong,et al.  A Precise Time Step Integration Method , 1994 .

[10]  Roger C. E. Tan,et al.  Some acceleration methods for iterative computer of derivatives of eigenvalues and eigenvectors , 1989 .

[11]  Tommy H.T. Chan,et al.  Dynamic interaction of long suspension bridges with running trains , 2000 .

[12]  Tore Dahlberg.  VEHICLE-BRIDGE INTERACTION , 1984 .

[13]  Zhibin Zhu,et al.  A simple feasible SQP algorithm for inequality constrained optimization , 2006, Appl. Math. Comput..

[14]  Frederic Ward Williams,et al.  Non-stationary random vibration analysis of three-dimensional train–bridge systems , 2010 .

[15]  J. Z. Zhu,et al.  The finite element method , 1977 .

[16]  Ilya V. Kolmanovsky,et al.  Predictive energy management of a power-split hybrid electric vehicle , 2009, 2009 American Control Conference.

[17]  C. Pantelides,et al.  Optimal design of dynamically constrained structures , 1997 .

[18]  W. Zhong.  Duality system in applied mechanics and optimal control , 2004 .

[19]  Frederic Ward Williams,et al.  Seismic spatial effects for long-span bridges, using the pseudo excitation method , 2004 .

[20]  H. Saunders,et al.  Introduction to Random Vibration , 1986 .

[21]  Chul-Woo Kim,et al.  Impact coefficient of reinforced concrete slab on a steel girder bridge , 2007 .

[22]  D. Hrovat.  Optimal Active Suspensions for 3D Vehicle Models , 1991, 1991 American Control Conference.

[23]  Jiahao Lin,et al.  Non-stationary random ground vibration due to loads moving along a railway track , 2006 .

[24]  Scott Cogan,et al.  Iterative least-squares calculation for modal eigenvector sensitivity , 1996 .

[25]  L. C. Rogers.  Derivatives of eigenvalues and eigenvectors , 1970 .

[26]  Ren-Jye Yang,et al.  Shape design sensitivity analysis with frequency response , 1989 .

[27]  J. G. S. da Silva.  Dynamical performance of highway bridge decks with irregular pavement surface , 2004 .