Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (7): 768-778.

• Articles • Previous Articles     Next Articles

EXACT ANALYSIS OF WAVE PROPAGATION IN AN INFINITE RECTANGULAR BEAM

SUN Wei-ming1,2, YANG Guang-ming3, LI Dong-xu4   

  1. 1. Institute of Engineering Mechanics, Beijing Jiaotong University, Beijing 100044, P. R. China;
    2. Department of Nuclear Science and Engineering, Naval University of Engineering, Wuhan 430033, P. R. China;
    3. Third Institute, Second Artillery Academy of Equipment, Beijing 100085, P. R. China;
    4. College of Aerospace and Material Engineering, National University of Defence Technology, Changsha 410073, P. R. China
  • Received:2002-06-05 Revised:2004-02-14 Online:2004-07-18 Published:2004-07-18
  • Supported by:
    the National Advanced Technology Research Development Foundation of China

Abstract: The Fourier series method was extended for the exact analysis of wave propagation in an infinite rectangular beam.Initially,by solving the three-dimensional elastodynamic equations a general analytic solution was derived for wave motion within the beam.And then for the beam with stress-free boundaries,the propagation characteristics of elastic waves were presented.This accurate wave propagation model lays a solid foundation of simultaneous control of coupled waves in the beam.

2010 MSC Number: 

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