Complex modes and traveling waves in axially moving Timoshenko beams

doi:10.1007/s10483-018-2312-8

Applied Mathematics and Mechanics (English Edition) ›› 2018, Vol. 39 ›› Issue (4): 597-608.doi: https://doi.org/10.1007/s10483-018-2312-8

• 论文 • 上一篇

Complex modes and traveling waves in axially moving Timoshenko beams

Youqi TANG¹, Erbao LUO¹, Xiaodong YANG²

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

收稿日期:2017-08-10 修回日期:2017-09-25 出版日期:2018-04-01 发布日期:2018-04-01
通讯作者: Xiaodong YANG, E-mail:jxdyang@163.com E-mail:jxdyang@163.com
基金资助:
Project supported by the National Natural Science Foundation of China (Nos. 11672007 and 11672186), the Training Scheme for the Youth Teachers of Higher Education of Shanghai (No. ZZyyy12035), and the "Chen Guang" Project (No. 14CG57)

Complex modes and traveling waves in axially moving Timoshenko beams

Youqi TANG¹, Erbao LUO¹, Xiaodong YANG²

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

Received:2017-08-10 Revised:2017-09-25 Online:2018-04-01 Published:2018-04-01
Contact: Xiaodong YANG E-mail:jxdyang@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Nos. 11672007 and 11672186), the Training Scheme for the Youth Teachers of Higher Education of Shanghai (No. ZZyyy12035), and the "Chen Guang" Project (No. 14CG57)

摘要/Abstract

摘要：

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.

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

Abstract:

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

中图分类号:

74S70
35C11

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

参考文献

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Complex modes and traveling waves in axially moving Timoshenko beams

Complex modes and traveling waves in axially moving Timoshenko beams

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