Research Article
Apr 1963
Analysis of Nonlinear Structures
Publication: Journal of the Structural Division
Volume 89, Issue 4
Abstract
A method of analyzing nonlinear structural systems is presented in this paper. The method of displacements is used, and with this formulation, the characteristic equations are shown to be equivalent to a set of simultaneous nonlinear first order ordinary differential equations in which the generalized displacements are the dependent variables and the applied loading is the independent variable. The solution of these differential equations for a given set of initial conditions and loading on the structure yields the complete displacement pattern of the structure. In general, only numerical solutions of these equations are feasible or practical because of the large number of variables involved. With the displaced configuration of the structure known, the internal load distribution in the structure may be easily determined. The method is illustrated through the analysis of several structures to demonstrate its feasibility for systems of practical size and interest. Although only material nonlinearities are considered, the method may be extended to include geometric nonlinearities.
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Published In
Journal of the Structural Division
Volume 89 • Issue 4 • April 1963
Pages: 333 - 351
Copyright
© 1963 American Society of Civil Engineers.
History
Published in print: Apr 1963
Published online: Feb 1, 2021
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Authors
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John E. Goldberg, F.ASCE
Prof., School of Civ. Engrg., Purdue Univ., Lafayette, Ind.
Ralph M. Richard, M.ASCE
Asst. Prof., Dept. of Civ. Engrg., Univ. of Arizona, Tucson, Ariz
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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.