Complex modes and traveling waves in axially moving Timoshenko beams

doi:10.1007/s10483-018-2312-8

Abstract

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.

Key words: adaptivc mesh, finite element, error estimation, axially moving Timoshenko beam, traveling wave, complex mode

2010 MSC Number:

74S70
35C11

Youqi TANG, Erbao LUO, Xiaodong YANG. Complex modes and traveling waves in axially moving Timoshenko beams. Applied Mathematics and Mechanics (English Edition), 2018, 39(4): 597-608.

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