Research Article
Aug 1969
Nonlinear Analysis Method for Circular Plates
Publication: Journal of the Engineering Mechanics Division
Volume 95, Issue 4
Abstract
A discrete variable method is presented for the large deflection analysis of inelastic circular plates. Formulation of a problem is accomplished through a discrete lumped-parameter model of a plate on the basis of fundamental principles of mechanics. This leads consistently to a system of nonlinear centered finite-difference equations. The equations are converted to an equivalent incremental form and their solution is accomplished by an iteration technique wherein calculations are performed recursively. Certain questions concerning continuity of displacements, stiffness matrix conditioning, and stability are treated. The reliability of the method is verified through a number of favorable comparisons with other theoretical solutions as well as with available experimental results. The convergence of solutions obtained with decreasing mesh size is also well illustrated. The method is well-suited and easily programmed for high-speed digital calculations.
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Published In
Journal of the Engineering Mechanics Division
Volume 95 • Issue 4 • August 1969
Pages: 979 - 999
Copyright
© 1969 American Society of Civil Engineers.
History
Published in print: Aug 1969
Published online: Feb 3, 2021
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Authors
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James G. Crose, AM.ASCE
Technical Staff, Aerospace Corp., San Bernardino, Calif.; formerly Res. Asst. in Civ. Engrg., Univ. of Illinois, Urbana, Ill.
Alfredo H.-S. Ang, AM.ASCE
Prof. of Civ. Engrg., Univ. of Illinois, Urbana, Ill.
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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.