WU Feng, XU Xiao-ming, GAO Qiang, ZHONG Wan-xie. Analyzing the Wave Scattering in Timoshenko Beam Based on the Symplectic Theory[J]. Applied Mathematics and Mechanics, 2013, 34(12): 1225-1235. doi: 10.3879/j.issn.1000-0887.2013.12.001
Citation: WU Feng, XU Xiao-ming, GAO Qiang, ZHONG Wan-xie. Analyzing the Wave Scattering in Timoshenko Beam Based on the Symplectic Theory[J]. Applied Mathematics and Mechanics, 2013, 34(12): 1225-1235. doi: 10.3879/j.issn.1000-0887.2013.12.001

Analyzing the Wave Scattering in Timoshenko Beam Based on the Symplectic Theory

doi: 10.3879/j.issn.1000-0887.2013.12.001
Funds:  The National Basic Research Program of China (973 Program)(2009CB918501)
  • Received Date: 2013-08-11
  • Rev Recd Date: 2013-10-11
  • Publish Date: 2013-12-16
  • Based on the symplectic theory in applied mechanics, some characteristic theories, such as the symplectic Gramme-Schmidt orthogonal algorithm, the independence between symplectic eigensolutions, precise integration method for the problem with two end boundary conditions, etc. were employed to analyze the energy band structure of Timoshenko beam and the wave scattering in the beam which was connected with a rigid scatterer.
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