无网格法在中心刚体-旋转柔性梁系统动力学分析中的应用  

Meshless methods applied to the dynamic analysis for hub-beam system

作　　者：杜超凡 周晓婷 章定国[2] 高祥 DU Chao-fan;ZHOU Xiao-ting;ZHANG Ding‑guo;GAO Xiang(College of Civil Science and Engineering,Yangzhou University,Yangzhou 225127,China;School of Science,Nanjing University of Science and Technology,Nanjing 210094,China)

机构地区：[1]扬州大学建筑科学与工程学院,江苏扬州225127 [2]南京理工大学理学院,江苏南京210094

出　　处：《振动工程学报》2022年第1期178-187,共10页Journal of Vibration Engineering

基　　金：国家自然科学基金资助项目(11802263,11772158);江苏省自然科学基金青年基金资助项目(BK20180895);扬州大学“青蓝工程”。

摘　　要：将无网格点插值法、径向基点插值法、光滑节点插值法用于中心刚体-旋转柔性梁的动力学分析。基于浮动坐标系方法,考虑梁的纵向拉伸变形和横向弯曲变形,并计入横向弯曲变形引起的纵向缩短,即非线性耦合项,运用第二类Lagrange方程推导得到作大范围运动的中心刚体-旋转柔性梁系统的动力学方程。将无网格法的仿真结果与有限元法和假设模态法进行比较分析,表明其作为一种柔性体离散方法在中心刚体-旋转柔性梁的刚柔耦合多体系统动力学的研究中具有可推广性。The meshless methods based on point interpolation method,radial point interpolation method and nose-based smoothed point interpolation method are proposed for dynamic analysis of a hub-beam system.Based on the floating frame of reference formulation,the longitudinal and transverse deformations of the beam are both considered.The coupling term of the deformation,which is caused by the transverse deformation,is also included.The second Lagrange equation is employed to derive the dynamic equations of the hub-beam system with large overall motion.Simulation results of the meshless methods are compared with those obtained by using finite element method and assumed mode method.It is demonstrated that the meshless methods can be extended in the field of rigid-flexible coupled system with a hub-beam.

关 键 词：多体系统 动力学 柔性梁 刚柔耦合 无网格法 

分 类 号：O313.7[理学—一般力学与力学基础] O322[理学—力学]