改进EFG法用于旋转梁的刚柔耦合动力学研究

摘要

采用全域插值广义移动最小二乘(IGMLS)的改进无网格伽辽金(EFG)法,对旋转中心刚体-柔性梁系统的刚柔耦合动力学特性进行研究.利用考虑了柔性梁横向变形引起的非线性耦合项的一次近似耦合模型,根据Hamilton原理和EFG离散方法得到刚柔耦合系统的无网格动力学离散方程.在大范围运动未知的情况下,采用数值方法对刚柔耦合系统进行动力响应的仿真计算,并对EFG法的主要影响因素进行了讨论分析.通过与有限元法的数值计算结果对比,验证EFG法用于刚柔耦合系统动力学研究的有效性及可行性,并为无网格法用于更复杂的柔性多体动力学的研究提供了理论依据.%Based on the global interpolating generalized moving least squares (IGMLS),the improved element-free Galerkin (EFG) method was applied to rigid-flexible coupling dynamics of rotating hub-beam systems.With the first-order approximate model including the nonlinear coupling term induced by the transverse deformation of the flexible beam,the element-free dynamic equations were derived by the Hamilton principle and EFG method.Research on the rigid-flexible coupling dynamics where the overall motion was unknown was conducted by numerical methods;meanwhile,the major influence factors of the EFG method were discussed.Numerical comparisons between the EFG method and the FEM verified the effectiveness and feasibility of the EFG method applied for rigid-flexible coupling dynamics and this research provided a direction of element-free methods for more complicated flexible multi-body dynamics.