文献类型：期刊文献

英文题名：Nonlinear vibration of axially accelerating hyperelastic beams

作者：Wang, Yuanbin[1,2];Ding, Hu[2];Chen, Li-Qun[3]

机构：[1]ShaoXing Univ, Dept Math, Shaoxing 312000, Zhejiang, Peoples R China;[2]Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai Key Lab Mech Energy Engn, Shanghai 200072, Peoples R China;[3]Harbin Inst Technol, Sch Sci, Shenzhen 518055, Peoples R China

年份：2018

卷号：99

起止页码：302

外文期刊名：INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS

收录：SCI-EXPANDED(收录号：WOS:000425077500029)、、EI(收录号：20180204618801)、Scopus(收录号：2-s2.0-85039928537)、WOS

基金：This project was supported by the Natural Science Foundation of China (Nos. 11572182, 11372171, 11422214 and 11472177).

语种：英文

外文关键词：Hyperelastic beam; Continuum mechanics; Parametric resonance; Galerkin method; Frequency response

外文摘要：This paper investigates principal parametric resonance of axially accelerating hyperelastic beam. Hyperelasticity is integrated into axially moving material for the first time. Based on the continuum mechanics theory, the coupled nonlinear partial differential equations of motion are derived from the extended Hamilton's principle. The model equations are simplified into a single integro-differential equation, which governs the transverse vibration of the hyperelastic beam. The method of multiple scales is used to solve the integro-differential equation to obtain the nonlinear response of the principal parametric resonance. The effect of the material parameter(i.e. in plane Poisson's ratio) on the type of the nonlinear vibration behavior and amplitude of the nontrivial solutions of steady-state have been investigated. Further, the couple nonlinear governing equations are solved by Galerkin's method. Comparison between the analytical results and the results of the Galerkin's method are made and good agreement are found. (C) 2017 Elsevier Ltd. All rights reserved.