Discretization Methods of a Rotating Flexible Rectangular Thin Plate

作     者：FAN Jihua ZHANG Dingguo SHEN Hong 范纪华;章定国;谌宏

作者机构：School of Mechanical-Electronic and Power EngineeringJiangsu University of Science and TechnologyZhangjiagang 215600JiangsuChina Suzhou Institute of TechnologyJiangsu University of Science and TechnologyZhangjiagang 215600JiangsuChina School of ScienceNanjing University of Science and TechnologyNanjing 210094China 

出 版 物：《Journal of Shanghai Jiaotong university(Science)》 (上海交通大学学报（英文版）)

年 卷 期：2020年第25卷第1期

页      面：118-126页

核心收录：

学科分类：08[工学] 080101[工学-一般力学与力学基础] 0801[工学-力学（可授工学、理学学位）] 

基　　金：the National Natural Science Foundation of China(Nos.11502098 and 11772158) the Natural Science Foundation of the Higher Education Institutions of Jiangsu Province(No.15KJB130003) the Doctoral Scientific Research Foundation of Jiangsu University of Science and Technology(No.120140003) the Fundamental Research Funds for Central Universities of China(No.30917011103) 

主　　题：rectangular plate assumed mode method(AMM) spline finite point method(SFPM) Beizer finite point method(BFPM) natural frequencies 

摘      要：Tlie rigid-flexible coupling dynamic modeling theory and the discretization methods of a rotating flexible rectangular thin plate are investigated in this *** on the continuum mechanics,the rigid-flexible coupling dynamic model is established for the flexible rectangular thin plate undergoing large overall rotation,and the coupling term of the deformation which is caused by transverse deformation is *** mode method(AMM),spline finite point method(SFPM)and Beizer finite point method(BFPM)are used to describe the deformation of the flexible rectangular plate,and then the dynamic equations of a rotating flexible rectangular thin plate undergoing overall motion are derived by Lagrange^equation of the second *** dynamics of a cantilever plate undergoing large overall rotation is simulated via using different dynamic models,and the simulation results of the first order approximation model are compared with those of the traditional zero-order approximation *** is shown that the first order approximation model with the dynamic stiffening terms can correctly describe the dynamic behavior of the system undergoing large overall rotation,while the zero-order approximation model cannot get the correct *** *** can well describe the deformation of a rotating flexible rectangular plate.