Geometrically nonlinear dynamic analysis of functionally graded thick hollow cylinders using total Lagrangian MLPG method

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• 作者：Seyed Yaghoub Sajadi ; Mohammad Hossein Abolbashari ; Seyed Mahmoud Hosseini
• 关键词：Large deflection ; Thick hollow cylinder ; Functionally graded material ; Meshless local Petrov–Galerkin method
• 刊名：Meccanica
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：51
• 期：3
• 页码：655-672
• 全文大小：1,049 KB
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• 作者单位：Seyed Yaghoub Sajadi (1)
  Mohammad Hossein Abolbashari (1)
  Seyed Mahmoud Hosseini (2)
  
  1. Lean Production Engineering Research Center, Mechanical Engineering Department, Ferdowsi University of Mashhad, PO Box 91775-1111, Mashhad, Iran
  2. Industrial Engineering Department, Faculty of Engineering, Ferdowsi University of Mashhad, PO Box 91775-1111, Mashhad, Iran
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Mechanics
  Civil Engineering
  Automotive and Aerospace Engineering and Traffic
  Mechanical Engineering
  
• 出版者：Springer Netherlands
• ISSN：1572-9648

文摘

In this article, geometrically nonlinear transient analysis based on the meshless local Petrov–Galerkin method (MLPG) is presented for functionally graded material thick hollow cylinders with infinite length subjected to a mechanical shock loading. The cylinder is assumed to be axisymmetric and in plane strain conditions. The mechanical properties of functionally graded cylinder are assumed to vary across the thickness. In MLPG analysis, the total Lagrangian formulation, radial base function, and Heaviside test function are used for approximation of displacement field in the weak form of the equation of motion. The system nonlinear equations are solved by Newmark finite difference and Newton–Raphson iteration methods. The time history of the radial displacement and stress for various values of the power law exponents, radii and thicknesses are investigated. The effects of different loading types and also the duration of loading on the dynamic behaviors of displacement and stress fields are obtained and discussed in details. Moreover, the obtained results from nonlinear analysis are compared with those obtained from linear analysis. Keywords Large deflection Thick hollow cylinder Functionally graded material Meshless local Petrov–Galerkin method