[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.12989/sem.2011.40.1.121

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

Dhananjaya, H.R. (Department of Civil Engineering, Faculty of Engineering, University of Malaya)
Pandey, P.C. (Department of Civil Engineering, Indian Institute of Science)
Nagabhushanam, J. (Department of Aerospace Engineering, Indian Institute of Science)
Othamon, Ismail (Department of Civil Engineering, Faculty of Engineering, University of Malaya)

Publication Information

Structural Engineering and Mechanics / v.40, no.1, 2011 , pp. 121-148 More about this Journal

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.

Keywords

closed form solutions; flexibility matrix; equilibrium matrix; integrated force method; rectangular plate element;

Citations & Related Records

Times Cited By KSCI : 2 (Citation Analysis)
Times Cited By Web Of Science : 0 (Related Records In Web of Science)
Times Cited By SCOPUS : 0

Reference
Cited By KSCI

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