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Complex modes and traveling waves in axially moving Timoshenko beams
Authors:Youqi Tang  Erbao Luo  Xiaodong Yang
Affiliation:1. School of Mechanical Engineering, Shanghai Institute of Technology, Shanghai 201418, China;2. Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Engineering, College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, China
Abstract:Complex modes and traveling waves in axially moving Timoshenko beams are studied. Due to the axially moving velocity, complex modes emerge instead of real value modes. Correspondingly, traveling waves are present for the axially moving material while standing waves dominate in the traditional static structures. The analytical results obtained in this study are verified with a numerical differential quadrature method.
Keywords:adaptivc mesh  finite element  error estimation  axially moving Timoshenko beam  traveling wave  complex mode  
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