Modeling and Dynamic Analysis of Cantilever Beam coupled with Moving Mass
A system of cantilever beam coupled with moving mass is investigated in this paper. Based on the time varying feature of multibody system, a dynamic model of the mass moving along the cantilever beam is established. The time varying motion equation including time varying mass and stiffness is derived by using the generalized Hamiltions principle, which results to a partial differential equation with variable coefficients. The nonlinearity of the equation is featured by those variable coefficients. To deal with the nonlinearity, methods of assumed modal shapes, Runge-Kutta are occupied. Then, a time varying system of a cantilever beam with stepwise sections coupled with a moving mass is given as an example. Numerical solutions of the dynamic responses of the system are achieved and certain analyses are made in the form of graphs.
Time varying Cantilever beam Moving mass
Xing Wei Zhao Zhen Dong Hu
School of Aerospace Engineering and Applied Mechanics,Tongji University, 200092, Shanghai
国际会议
上海
英文
250-253
2011-10-21（万方平台首次上网日期，不代表论文的发表时间）