Because of increased vehicle speed, engineers must pay more attention to the comfort of passengers and the safety of trains and bridges. This requires analysis and optimization of factors that may affect the dynamic behavior of the vehicle-bridge system. The need for a large number of repeated random vibration computations for complicated vehicle-bridge coupling systems causes serious difficulties in design. These difficulties have been overcome by combining the pseudo-excitation method with the symplectic mathematical method. The orthogonal experimental approach is used to identify the relative importance of factors affecting design such as vehicle weight, vehicle stiffness, velocity, track irregularity, contact model, bridge span, support style and material parameters. An efficient sensitivity analysis method based on PEM is used to optimize the key factors. Numerical examples demonstrate the accuracy and efficiency of the model. The results show that the factors impacting various positions on the bridge differ greatly. Impact factors increase with increased roughness of the bridge surface. The primary parameters that affect the impact factors are the bridge suspension stiffness, damping, and vehicle velocity. The impact of factors affecting the bridge is effectively decreased by parameter optimization.
XU Wentao
,
LIAO Jingbo
,
ZHANG Zetong
,
CHEN Yongjie
,
TANG Guangwu
. Numerical Method Study of Key Factor Identification and Parameter Optimization for Dynamic Impact on Bridge Based on the Pseudo-excitation Method[J]. Journal of Mechanical Engineering, 2018
, 54(12)
: 64
-70
.
DOI: 10.3901/JME.2018.12.064
[1] ZHONG Hai,YANG Mijia,GAO Zhili. Dynamic responses of prestressed bridge and vehicle through bridge-vehicle interaction analysis[J]. Engineering Structures,2015,87(15):116-125.
[2] CONNOLLY D P,KOUROUSSIS G,LAGHROUCHE O,et al. Benchmarking railway vibrations-track,vehicle,ground and building effects[J]. Construction and Building Materials,2015,92:64-81.
[3] XU Qingyuan,OU Xi,AU F T K,et al. Effects of track irregularities on environmental vibration caused by underground railway[J]. European Journal of Mechanics-A/Solids,2016,59:280-293.
[4] XU Qingyuan,CHEN Xiaoping,YAN Bing,et al. Study on vibration reduction slab track and adjacent transition section in high-speed railway tunnel[J]. Journal of Vibro Engineering,2015,17(2):905-916.
[5] LIN Jiahao,ZHANG Yahui,LI Xingsi,et al. Seismic spatial effects for long-span bridges using the pseudo excitation method[J]. Engineering Structures,2004,26(9):1207-1216.
[6] CHEUNG Yanlung,WONG Waion. and opti-mizations of a dynamic vibration absorber or suppressing vibrations in plates[J]. Journal of Sound and Vibration,2009,320:29-42.
[7] CHEUNG Yanlung,WONG Waion,CHENG Li. Optimization of a hybrid vibration absorber for vibration control of structures under random force excitation[J]. Journal of Sound and Vibration,2013,332:494-509.
[8] ROGERS L C. Derivatives of eigenvalues and eigenvectors[J]. The American Institute of Aeronautics and Astronautics Journal,1970,8(5):943-944.
[9] YANG Renjie. Shape design sensitivity analysis with frequency response[J]. Computers & Structures,1989,33(4):1089-1093.
[10] TAN RCE. Some acceleration methods for iterative computation of derivatives of eigenvalues and eigenvectors[J]. International Journal for Numerical Methods in Engineering,1989,28(7):1505-1520.
[11] PANTELIDES C P,TZAN S R. Optimal design of dynamically constrained structures[J]. Computers & Structures,1997,62(1):141-150.
[12] BELIVEAU J G,COGAN S,LALLEMENT G,et al. Iterative least-squares calculation for modal eigenvector sensitivity[J]. Journal The American Institute of Aeronautics and Astronautics 1996,34(2):385-391.
[13] DURBIN F. Numerical inversion of Laplace transforms:an efficient improvement to Dubner and Abate's method[J]. Computer Journal,1974,17(4):371-376.
[14] 余志生. 汽车理论[M]. 北京:机械工业出版社,2000 Yu Zhisheng. Vehicle theory[M]. Beijing:China Machine Press,2000
[15] ZHANG Zhichao,LIN Jiahao,ZHANG Yahui,et al. Non-stationary random vibration analysis of three-dimensional train-bridge systems[J]. Vehicle System Dynamic,2010,48(4):457-480.
[16] ZHANG Wanxie. Duality system in applied mechanics and optimal control[M]. Boston:Kluwer Academic Pub,2004.
[17] ZHANG Wanxie,WILLIAMS F W. A precise time step integration method[J]. Part C:Journal of Mechanical Engineering Science,1994,208(6):427-430.
