Dynamic Analyses Of An Elastically Supported Beam Under The Action Of Moving Loads By Means Of Moving Spring-Damper-Mass Element

• Main Authors: Yeh Nai-Sheng, 葉乃昇
• Other Authors: Jia-Jang Wu
• Format: Others
• Language: zh-TW
• Published: 2012
• Online Access: http://ndltd.ncl.edu.tw/handle/60404432526327168277

碩士 === 國立高雄海洋科技大學 === 輪機工程研究所 === 100 === This paper presents the theory of the moving spring-damper-mass element consists of a lumped mass, a roller, a spring and a damper, so that the inertia effects as well as spring and damping effects between the moving subsystem and the elastically supported beam can be easily taken into account the dynamic responses of the last two systems. Based on the dynamic equilibrium of the moving subsystem and the beam, the property matrices of the former were derived. Since the last property matrices have something to do with the position of the moving subsystem on the beam, they are time-variant. Adding the property matrices of each moving subsystem to those of the beam forms the time-variant overall property matrices and equations of motion of the entire vibrating system. Some important factors, such as moving speed, spring constant, and lumped mass of the moving subsystem, closely relating to the title problem are investigated. Numerical results show that the influences of the foregoing parameters on the dynamic responses of either the moving subsystem or the beam are significant.