NONLINEAR VIBRATION RESPONSE AND BIFURCATION OF CIRCULAR CYLINDRICAL SHELLS UNDER TRAVELING CONCENTRATED HARMONIC EXCITATION  

作　　者：Yanqing Wang Li Liang Xinghui Guo Jian Li Jing Liu Panglun Liu 

机构地区：[1]Institute of Applied Mechanics,Northeastern University [2]School of Resources & Civil Engineering,Northeastern University [3]Department of Automotive Engineering,Jining Polytechnic

出　　处：《Acta Mechanica Solida Sinica》2013年第3期277-291,共15页固体力学学报（英文版）

基　　金：Project supported by National Natural Science Foundation of China (No. 11172063)

摘　　要：The nonlinear vibration of a cantilever cylindrical shell under a concentrated har- monic excitation moving in a concentric circular path is proposed. Nonlinearities due to large- amplitude shell motion are considered, with account taken of the effect of viscous structure damp- ing. The system is discretized by Galerkin＇s method. The method of averaging is developed to study the nonlinear traveling wave responses of the multi-degrees-of-freedom system. The bifur- cation phenomenon of the model is investigated by means of the averaged system in detail. The results reveal the change process and nonlinear dynamic characteristics of the periodic solutions of averaged equations.The nonlinear vibration of a cantilever cylindrical shell under a concentrated har- monic excitation moving in a concentric circular path is proposed. Nonlinearities due to large- amplitude shell motion are considered, with account taken of the effect of viscous structure damp- ing. The system is discretized by Galerkin＇s method. The method of averaging is developed to study the nonlinear traveling wave responses of the multi-degrees-of-freedom system. The bifur- cation phenomenon of the model is investigated by means of the averaged system in detail. The results reveal the change process and nonlinear dynamic characteristics of the periodic solutions of averaged equations.

关 键 词：circular cylindrical shell NONLINEARITY traveling wave method of averaging bifur-cation 

分 类 号：O322[理学—一般力学与力学基础] TM341[理学—力学]