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. Nagabhushanam; Ismail Othamon

doi: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

H. R. Dhananjaya, P. C. Pandey, J. Nagabhushanam, Ismail Othamon

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

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.

Original language	English
Pages (from-to)	121-148
Number of pages	28
Journal	Structural Engineering and Mechanics
Volume	40
Issue number	1
DOIs	https://doi.org/10.12989/sem.2011.40.1.121
Publication status	Published - 10-10-2011
Externally published	Yes

All Science Journal Classification (ASJC) codes

Civil and Structural Engineering
Building and Construction
Mechanics of Materials
Mechanical Engineering

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10.12989/sem.2011.40.1.121

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AU - Pandey, P. C.

AU - Nagabhushanam, J.

AU - Othamon, Ismail

PY - 2011/10/10

Y1 - 2011/10/10

N2 - 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.

AB - 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.

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

Abstract

All Science Journal Classification (ASJC) codes

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