Transverse Vibration and Stability Analysis of Circular Plate Subjected to Follower Force and Thermal Load

作     者：Yongqiang Yang Zhongmin Wang 

作者机构：School of Mechanical and Precision Instrument EngineeringXi’an University of Technology710048Xi’anChina College of Mechanical&Electrical EngineeringShaanxi University of Science&Technology710021Xi’anChina School of Civil Engineering and ArchitectureXi’an University of Technology710048Xi’anChina 

出 版 物：《Sound & Vibration》 (声音与振动（英文）)

年 卷 期：2019年第53卷第3期

页      面：51-64页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by the National Natural Science Foundation of China(11472211) the Natural Science Foundation of Education Department of Shaanxi Province of China(2013JK1042) 

主　　题：Circular plate transverse vibration follower force thermal load,differential quadrature method stability 

摘      要：Transverse vibration and stability analysis of circular plate subjected to follower force and thermal load are *** on the thin plate theory in involving the variable temperature,the differential equation of transverse vibration for the axisymmetric circular plate subjected to follower force and thermal load is ***,the differential equation of vibration and corresponding boundary conditions are discretized by the differential quadrature ***,the generalized eigenvalue under three different boundary conditions are *** this case,the change curve of the first order dimensionless complex frequency of the circular plate subjected to the follower force in the different conditions with the variable temperature coefficient and temperature load is *** stability and corresponding critical loads of the circular plate subjected to follower force and thermal load with simply supported edge,clamped edge and free edge are *** results provide theoretical basis for improving the dynamic stability of the circular plate.