Random Vibration of a Beam with Random Stiffness under a Moving Load

• Main Authors: Jang, Tyan-Chuen, 張張田春
• Other Authors: Leu Sen-Lin
• Format: Others
• Language: zh-TW
• Online Access: http://ndltd.ncl.edu.tw/handle/42404995078877572152

碩士 === 國立台灣工業技術學院 === 機械工程技術研究所 === 85 === In this thesis,the random vibration of a bridge subjected to a moving vehicleload is studied. The bridge is simplified to be a non-uniform beam ,and the irregularity of the beam is assumed to be a Markov process. The deflections of the beam are formulated by using the finite element method. The timeevolutions of the means and variances of the system responses are evaluated byusing the space state approach.In addition,the stiffness of beam is considered to be random, and the effects of that on the system responses are analyzed by using the proposed recursive technique. Several numerical results havebeen presented to compute the responses statistics of the system with the vel-ocity of the vehicle the cross section of the beam ,etc. as parameters.