Vibration analysis of a rotating Timoshenko beam with internal and external flexible connections

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• 作者：S. Talebi ; A. Ariaei
• 关键词：Rotating beam ; Timoshenko beam ; Flexible connections ; Differential transform method ; Crack ; Natural frequency ; Modal test
• 刊名：Archive of Applied Mechanics (Ingenieur Archiv)
• 出版年：2015
• 出版时间：May 2015
• 年：2015
• 卷：85
• 期：5
• 页码：555-572
• 全文大小：1,008 KB
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• 作者单位：S. Talebi (1)
  A. Ariaei (1)
  
  1. Department of Mechanical Engineering, Faculty of Engineering, University of Isfahan, Hezar Jerib Ave., Isfahan, Iran
  
• 刊物类别：Engineering
• 刊物主题：Theoretical and Applied Mechanics
  Mechanics
  Complexity
  Fluids
  Thermodynamics
  Systems and Information Theory in Engineering
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1432-0681

文摘

An analytical method is presented to determine the vibration characteristics of a rotating Timoshenko beam with variable cross section and intermediate flexible connections using the differential transform method. Based on the application of Timoshenko beam theory on separate beams and the compatibility requirements on each connection point, the correlations between every two adjacent spans are obtained. The formulation is extended to a point where it would be able to evaluate the cases with internal and external flexible connections. The results will be validated against those reported in the literature and compared with the ones from the modal test. A number of parametric studies are conducted to assess the stiffness of elastic connections, rotating speed, hub radius and tapered ratio effects on the beam natural frequencies and mode shapes. It is observed that by changing the stiffness of the intermediate springs, the general formulation developed here can cover a large array of problems such as cracked or intermediately constrained beams.