移动柔性梁作用下简支梁的动力响应

对移动结构作用下梁的响应问题进行了推广,采用柔性梁作为移动结构模型,在考虑结构柔性和悬挂连接的前提下对系统的耦合振动进行了分析.根据一般边界条件梁建立振动方程,通过量纲一参数以及模态叠加法处理系统动力学方程.以简支边界条件为例,得到了梁响应的数值结果,对系统主要参数即移动结构频率、移动速度及连接刚度对简支梁振动的影响进行了讨论.结果表明:考虑移动体的柔性频率对简支梁的振动会产生一定的影响.

Dynamic Response of Simply Supported Beam Subjected to Moving Flexible Beam

The vibration problem of a beam subjected to a moving structure is investigated with a generalized model, where the moving structure is assumed as a flexible beam connected with the bottom beam by flexible springs and the flexible stiffness and inertial effects of the moving beam areconsidered here. The equations are set up with the generalized boundary condition of the bottom beam and investigated by modal superposition. The ordinary differential equations are numerically solved and the results are presented in a nondimensional form. The influence factors on the dynamic response of the bottom beam are discussed in details, including the stiffness ratio which is defined as the stiffness of the moving structure to that of the bottom beam, moving structure velocity and the connection spring stiffness between the moving structure and the bottom beam.