作平面运动柔性梁的刚柔耦合动力学建模及分析

Coupled dynamics modeling and analysis for flexible beam with planar motion

从连续介质力学理论出发,考虑变形产生的几何非线性效应对运动柔性梁的影响,在柔性梁的纵向、横向变形中考虑横向弯曲和轴向伸缩的耦合作用,得到了较为精确的变形模式,根据假设模态分析法对柔性梁进行离散,利用Kane方法建立平面柔性梁的刚柔耦合动力学方程。最后通过仿真算例验证了耦合模型的正确性和有效性。

A planar flexible beam, which incorporates continuum medium mechanics and the effect of the geometrically non-liner kinematics of deformation is investigated. The coupling deformation terms in longitudinal and transversal deflection and the dynamical effect oftranslation on deformation of flexible beam are analyzed. Kane＇s equations are employed for establishing the coupled dynamical equations of flexible beams undergoing larger overall translation in this paper. The simulation instance shows the accuracy and validity of this model.