Modeling the coupled bending–torsional vibrations of symmetric laminated composite beams

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• 作者：Jun Li ; Siao Wang ; Xiaobin Li ; Xiangshao Kong ; Weiguo Wu
• 关键词：Bending–torsional coupling ; Symmetric laminated beams ; Poisson effect ; Free vibration ; Dynamic stiffness matrix
• 刊名：Archive of Applied Mechanics (Ingenieur Archiv)
• 出版年：2015
• 出版时间：July 2015
• 年：2015
• 卷：85
• 期：7
• 页码：991-1007
• 全文大小：627 KB
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• 作者单位：Jun Li (1)
  Siao Wang (1)
  Xiaobin Li (1)
  Xiangshao Kong (1)
  Weiguo Wu (1)
  
  1. Departments of Naval Architecture, Ocean and Structural Engineering, School of Transportation, Wuhan University of Technology, Wuhan, China
  
• 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

A shear-deformable beam theory is proposed to model the coupled bending and twisting vibration in a symmetric laminated beam with a rectangular cross section. The warping of the beam cross section and Poisson effect are considered in the formulation. The governing equations of motion for the symmetric laminated beams exhibiting bending–torsional coupling are derived by using the Hamilton’s principle, and the dynamic stiffness matrix is formulated from the exact analytical solutions of the homogeneous governing differential equations. Numerical results of appropriately chosen symmetric laminated beams are presented and compared with the previously published numerical and experimental solutions whenever possible. The influences of Poisson effect, layup, and boundary condition on the natural frequencies of symmetric laminated beams are extensively investigated.