Analysis of Periodic Solutions for Composite Laminated Circular Cylindrical Shell with 1:2 Internal Resonance

7th Annual International Conference on Materials Science and Engineering

Tian, Yuanyuan^1 ; Li, Jing^1 ; He, Bin^1

College of Applied Sciences, Beijing University of Technology, Beijing

100124, China^1

关键词: Circular cylindrical shells;    Displacement function;    Existence conditions;    Governing system;    Internal resonance;    Parameter conditions;    Periodic motion;    Periodic solution;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/562/1/012167/pdf
DOI  :  10.1088/1757-899X/562/1/012167

来源: IOP

【 摘 要 】

In this paper, we are concerned with periodic motions of composite laminated circular cylindrical shell with 1:2 internal resonance. The existence condition and number estimation of periodic solutions of the governing system are studied by discussing the Poincaré map and the displacement function. To illustrate the effectiveness of our results, the method of numerical simulations is performed to detect the phase portraits of the periodic solutions under a set of parameter condition.