Nonlinear Behaviors of an Isotropic Incompressible Hyperelastic Spherical Membrane Under Different Dynamic Loads

摘要：

　　Some nonlinear dynamic behaviors are studied for a spherical membrane composed of a class of isotropic incompressible Ogden materials subjected to different forms of dynamic loads at its inner surface.The mathematical model is formulated and a second order nonlinear ordinary differential equation that approximately describes the radially symmetric motion of the membrane is obtained.The corresponding phase diagrams under three types of dynamic loads (i.e.,constant load,isochronal step loads,and periodic load) are presented.It is shown that the ∞-type homoclinic orbit may appear under certain conditions.The effects of the dynamic loads and the thickness on the motion of the membrane are also analyzed.

作者: D.NIU W.ZHAO X.YUAN

作者单位: College of Science, Dalian Nationalities University,Dalian 116600, P.R.China College of Science, Dalian Nationalities University,Dalian 116600, P.R.China;State Key Laboratory of

会议类型: 国际会议

会议名称: Sixth International Conference on Nonlinear Mechanics(第六届国际非线性力学会议)(ICNM-VI)

会议地点: 上海

会议语种:英文

页码: 216-220

在线出版日期: 2013-08-01（万方平台首次上网日期，不代表论文的发表时间）