Exact solution of bending problem of clamped orthotropic rectangular thin plates

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• 作者：Chen An ; Jijun Gu ; Jian Su
• 关键词：Orthotropic rectangular thin plates ; Bending ; Integral transform ; Exact solution
• 刊名：Journal of the Brazilian Society of Mechanical Sciences and Engineering
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：38
• 期：2
• 页码：601-607
• 全文大小：648 KB
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• 作者单位：Chen An (1)
  Jijun Gu (1)
  Jian Su (2)
  
  1. Offshore Oil/Gas Research Center, China University of Petroleum-Beijing, Beijing, 102249, China
  2. Nuclear Engineering Program, COPPE, Universidade Federal do Rio de Janeiro, CP 68509, Rio de Janeiro, 21941-972, Brazil
  
• 刊物主题：Mechanical Engineering;
• 出版者：Springer Berlin Heidelberg
• ISSN：1806-3691

文摘

The generalized integral transform technique (GITT) is employed to obtain an exact solution for the bending problem of fully clamped orthotropic rectangular thin plates. The use of the GITT approach in the analysis of the transverse deflection equation leads to a coupled system of fourth order differential equations (ODEs) in the dimensionless longitudinal spatial variable. The resulting transformed ODE system is then numerically solved by making use of the subroutine DBVPFD from IMSL Library. Numerical results with automatic global accuracy control are obtained for different values of aspect ratio. Critical comparisons with previously reported numerical results are performed with excellent agreement. A set of reference results for clamped orthotropic rectangular plates is also provided for future covalidation purposes, which are verified by those obtained from the general-purpose finite element software package ABAQUS.