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Closed form solutions for element matrices of 4-node rectangular plate element using IFM

H.R. Dhananjaya / J. Nagabhushanam / P.C. Pandey

This paper presents closed form solutions for equilibrium and flexibility matrices of the Mindlin- Reissner theory based 4-node rectangular plate bending element using Integrated Force Method (IFM). Use of closed form solutions of equilibrium and flexibility matrices reduce the computational time significantly and more suitable for the plate bending problems with square/rectangular boundaries. Large number of standard square/rectangular plate bending benchmark problems have been analyzed for central deflections and moments using the presented closed form solutions. Results are compared with those of similar displacement based 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 matrices of 4-node rectangular plate element using IFM

H.R. Dhananjaya / J. Nagabhushanam / P.C. Pandey

This paper presents closed form solutions for equilibrium and flexibility matrices of the Mindlin- Reissner theory based 4-node rectangular plate bending element using Integrated Force Method (IFM). Use of closed form solutions of equilibrium and flexibility matrices reduce the computational time significantly and more suitable for the plate bending problems with square/rectangular boundaries. Large number of standard square/rectangular plate bending benchmark problems have been analyzed for central deflections and moments using the presented closed form solutions. Results are compared with those of similar displacement based plate bending elements available in the literature. The results are also compared with the exact solutions.

Closed form solutions for element matrices of 4-node rectangular plate element using IFM

H.R. Dhananjaya / J. Nagabhushanam / P.C. Pandey

This paper presents closed form solutions for equilibrium and flexibility matrices of the Mindlin- Reissner theory based 4-node rectangular plate bending element using Integrated Force Method (IFM). Use of closed form solutions of equilibrium and flexibility matrices reduce the computational time significantly and more suitable for the plate bending problems with square/rectangular boundaries. Large number of standard square/rectangular plate bending benchmark problems have been analyzed for central deflections and moments using the presented closed form solutions. Results are compared with those of similar displacement based plate bending elements available in the literature. The results are also compared with the exact solutions.

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Title:

Closed form solutions for element matrices of 4-node rectangular plate element using IFM

Contributors:

H.R. Dhananjaya (author) / J. Nagabhushanam (author) / P.C. Pandey (author)

Published in:

Electronic Journal of Structural Engineering, Vol 10 (2010)

Publication date:

2010

ISSN:

DOI:

https://doi.org/10.56748/ejse.10120

Type of media:

Article (Journal)

Type of material:

Electronic Resource

Language:

Unknown

Keywords:

Architectural engineering. Structural engineering of buildings , TH845-895 , Structural engineering (General) , TA630-695

Metadata by DOAJ is licensed under CC BY-SA 1.0

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