Research Article
Mar 1973
Large Displacement Analysis of Thin Plates
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VIEW THE REPLYPublication: Journal of the Structural Division
Volume 99, Issue 3
Abstract
A finite element procedure for large deflection analysis of thin plates that exhibits monotonic convergence to results obtained using the von Karman plate equation is presented. A simplified method of solution is also developed that yields acceptable results with a significant reduction in computational effort. The Kirchoff thin plate assumptions are used, together with the appropriate nonlinear terms in the strain displacement equations to express the potential energy functional in terms of the displacement fields. The functional is discretized according to the usual finite element techniques and two sets of equations that essentially uncouple the in-plane and bending effects are obtained. Thus, the storage requirements of the computer program are based on a 3-degree-of-freedom per nodal point system although 5-degree-of-freedom are available to define the deformation of the idealized structure. This results in a significant reduction in storage requirements.
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Published In
Journal of the Structural Division
Volume 99 • Issue 3 • March 1973
Pages: 349 - 364
Copyright
© 1973 American Society of Civil Engineers.
History
Published in print: Mar 1973
Published online: Feb 1, 2021
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Authors
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James Colville, M.ASCE
Asst. Prof. of Civ. Engrg., Univ. of Maryland, College Park, Md.
Eric B. Becker
Asst. Prof. of Aero. Engrg., Univ. of Texas at Austin, Austin, Tex.
Richard W. Furlong, M.ASCE
Prof. of Civ. Engrg., Univ. of Texas at Austin, Austin, Tex.
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.