Analytical behavior prediction for skewed thick plates on elastic foundation

Pang Jo Chun, Yun Mook Lim

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Abstract

This paper presents analytical solutions for the problem of skewed thick plates under transverse load on a Winkler foundation, which has not been reported in the literature. The thick plate solution is obtained by using a framework of an oblique coordinate system. First, the governing differential equation in that system is derived, and the solution is obtained using deflection and rotation as derivatives of the potential function developed here. This method is applicable for arbitrary loading conditions, boundary conditions, and materials. The solution technique is applied to two illustrative application examples, and the results are compared with numerical solutions. The two approaches yielded results in good agreement.

Original languageEnglish
Article number509724
JournalMathematical Problems in Engineering
Volume2011
DOIs
Publication statusPublished - 2011 Dec 1

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All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Engineering(all)

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