Nonlinear free vibration of spinning cylindrical shells with arbitrary boundary conditions

作     者：Qingdong CHAI Yanqing WANG Meiwen TENG Qingdong CHAI;Yanqing WANG;Meiwen TENG

作者机构：Key Laboratory of Structural Dynamics of Liaoning ProvinceCollege of SciencesNortheastern UniversityShenyang110819China Key Laboratory of Ministry of Education on Safe Mining of Deep Metal MinesNortheastern UniversityShenyang110819China 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2022年第43卷第8期

页      面：1203-1218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：Project supported by the National Natural Science Foundation of China(No.11922205) the Fundamental Research Funds for the Central Universities of China(No.N2005019) 

主　　题：spinning cylindrical shell nonlinear free vibration arbitrary boundary condition Chebyshev polynomial Sanders’shell theory 

摘      要：The aim of the present study is to investigate the nonlinear free vibration of spinning cylindrical shells under spinning and arbitrary boundary *** springs are used to simulate arbitrary boundary ***’shell theory is employed,and von Kármán nonlinear terms are considered in the theoretical *** using Chebyshev polynomials as admissible functions,motion equations are derived with the Ritz ***,a direct iteration method is used to obtain the nonlinear vibration *** effects of the circumferential wave number,the boundary spring stiffness,and the spinning speed on the nonlinear vibration characteristics of the shells are *** is found that there exist sensitive intervals for the boundary spring stiffness,which makes the variation of the nonlinear frequency ratio more *** decline of the frequency ratio caused by the spinning speed is more significant for the higher vibration amplitude and the smaller boundary spring stiffness.