收录:
摘要:
Predicting the nonlinear vibration responses of a Z-shaped folding wing during the morphing process is a prerequisite for structural design analysis. Therefore, the present study focuses on the nonlinear dynamical characteristics of a Z-shaped folding wing. The folding wing is divided into three carbon fiber composite plates connected by rigid hinges. The nonlinear dynamic equations of the system are derived using Hamilton's principle based on the von Karman equations and classical laminate plate theory. The mode shape functions of the system are then obtained using finite element analysis. Galerkin's approach is employed to discretize the partial differential governing equations into a two-degree-of-freedom nonlinear system. The case of 1: 1 inner resonance is considered. The method of multiple scales is employed to obtain the averaged equations of the system. Finally, numerical simulation is performed to investigate the nonlinear dynamical characteristics of the system. Bifurcation diagrams and wave-form diagrams illustrate the different motions of the Z-shaped folding wing, including periodic and chaotic motions under given conditions. The influence of transverse excitations on the bifurcations and chaotic motion of the Z-shaped folding wing is investigated numerically.
关键词:
通讯作者信息:
电子邮件地址:
来源 :
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
ISSN: 0218-1274
年份: 2017
期: 8
卷: 27
2 . 2 0 0
JCR@2022
ESI学科: MATHEMATICS;
ESI高被引阀值:66
中科院分区:3
归属院系: