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

H.R. Dhananjaya, P.C. Pandey, J. Nagabhushanamb and Ismail Othamon

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.

Key Words

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

Address

H.R. Dhananjaya: Department of Civil Engineering, Faculty of Engineering, University of Malaya, Kuala Lumpur 50603, Malaysia; Manipal Institute of Technology, Manipal-576 104, India P.C. Pandey: Department of Civil Engineering, Indian Institute of Science, Bangalore-560012, India J. Nagabhushanam: Department of Aerospace Engineering, Indian Institute of Science, Bangalore-560012, India Ismail Othamon: Department of Civil Engineering, Faculty of Engineering, University of Malaya, Kuala Lumpur 50603, Malaysia

← Back to Volume 40, No. 1