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Closed form solutions for element equilibrium and flexibility matrices of eight node rectangular plate bending element using integrated force method

Dhananjaya, HR and Pandey, PC and Nagabhushanam, J and Othamon, Ismail (2011) Closed form solutions for element equilibrium and flexibility matrices of eight node rectangular plate bending element using integrated force method. In: Structural Engineering & Mechanics, 40 (1). pp. 121-148.

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Abstract

Closed form solutions for equilibrium and flexibility matrices of the Mindlin-Reissner theory based eight-node rectangular plate bending element (MRP8) using integrated Force Method (IFM) are presented in this paper. Though these closed form solutions of equilibrium and flexibility matrices are applicable to plate bending problems with square/rectangular boundaries, they reduce the computational time significantly and give more exact solutions. Presented closed form solutions are validated by solving large number of standard square/rectangular plate bending benchmark problems for deflections and moments and the results are compared with those of similar displacement-based eight-node quadrilateral plate bending elements available in the literature. The results are also compared with the exact solutions.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to TechnoPress.
Keywords: closed form solutions;flexibility matrix;equilibrium matrix; integrated force method;rectangular plate element
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering (Formerly, Aeronautical Engineering)
Division of Mechanical Sciences > Civil Engineering
Date Deposited: 04 Nov 2011 09:10
Last Modified: 04 Nov 2011 09:10
URI: http://eprints.iisc.ernet.in/id/eprint/41632

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