Acta Scientiarum Naturalium Universitatis Pekinensis

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Wave Propagation in Elastic Square Columns
Ⅲ. Transient Response in Unlimited Square Column

WEI Jianping, SU Xianyue   

  1. State Key Laboratory of Turbulence and Complex System, Department of Mechanics and Aerospace Engineering, College of Engineering, Peking University, Beijing 100871;
  • Received:2007-09-04 Online:2008-11-20 Published:2008-11-20

Ⅲ. 无限长方柱的瞬态响应


  1. 湍流与复杂系统国家重点实验室,北京大学工学院力学与空天技术系,北京100871;

Abstract: This is a continue work in studying the wave propagation in elastic square columns. Based on the analytic dispersive equation, group velocity equation and steady response obtained from the previous work, the analytic transient response of unlimited column was derived when the propagating wave pursuing method was introduced. Then a calculation was represented, the transient responses were plotted of unlimited square columns, and the propagation waves in limited and unlimited columns were compared.

Key words: unlimited square column, propagating wave pursuing method, transient response, open system

摘要: 提出行波追踪方法,在以前工作中得到解析形式的频散方程、群速度方程和稳态响应的基础上,完全得到无限长方柱在任意外力作用下解析形式的瞬态响应。绘制了无限长方柱在外力作用下的瞬态响应,并同有限长方柱中的行波进行了比较。

关键词: 无限长方柱, 行波追踪方法, 瞬态响应, 开放系统

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