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基于EFG法的可伸缩柔性梁动力学分析
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摘要
采用基于广义移动最小二乘的全域插值EFG法对柔性梁的变形场进行空间离散,根据Hamilton变分原理得到轴向伸缩梁横向振动的无网格离散方程。对可伸缩梁的横向振动频率以及不同轴向运动规律下梁末端的自由振动响应进行了数值分析,通过与前人的研究结论对比,验证了EFG法用于时变参数结构分析的可行性。
Based on the global interpolating generalized moving least squares(IGMLS), the improved element-free Galerkin(EFG) method was applied to dynamics of an axially deploying and retracting flexible beam. The element-free transverse vibration equations were derived by the Hamilton principle and EFG method. The frequency characteristics and the free vibration of the beam with different axially rigid motion are calculated by this numerical method. By comparing with the existing research conclusions, the feasibility of the EFG method applied for the timevarying parameter systems was verified.
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