Shock Waves and Solitary Waves in Elastic Circular Rod

摘要：

A nonlinear waves equation of an elastic circular rod taking account of finite deformation and transverse Poisson effect is derived by means of Hamilton variation principle in this paper. Nonlinear wave equation and corresponding truncated nonlinear wave equation are solved by the hyperbolic tangent function and cotangent function finite expansion method. Two different types of exact traveling wave solutions,the shock wave solution and the solitary wave solution are obtained. The necessary condition of these solutions existence is given also.

作者: Zhifang Liu Yuanyuan He Shanyuan Zhang

作者单位: Institute of Applied Mechanics and Biomedical Engineering,Taiyuan University of Technology,030024,China

会议类型: 国际会议

会议名称: 2011 International Conference on Environmental Biotechnology and Materials Engineering(2011年环境生物技术与材料工程国际会议)

会议地点: 哈尔滨

会议语种:英文

页码: 2197-2201

在线出版日期: 2011-03-26（万方平台首次上网日期，不代表论文的发表时间）