基于浮动坐标法的任意运动平面柔性梁动力学模型

Dynamic Model of Flexible Beam with Arbitrary Rigid Motion Based on Floating Frame of Reference Formulation

利用拉格朗日方程,采用浮动坐标法推导了任意运动平面柔性梁动力学模型.研究了任意运动柔性梁的运动学描述形式,利用有限元方法建立单元运动微分方程,并解释了质量矩阵和刚度矩阵中所有项的含义.计算实例结果显示,利用浮动坐标法推导建立的任意运动柔性梁动力学模型是有效的.

Based on the floating frame of reference formulation and lagrangian equation, the dynamics model of flexible beams with arbitrary rigid motion was derived. Kinematics description of the model was implemented,the differential equation of the motion unit was formulated by the finite element method and the items of the mass matrix and the stiffness matrix were interpreted. The result of example calculation shows that the formulated dynamics model based on the floating frame of reference formulation is efficient.