Research Article
Dec 1965
Analysis of Nonlinear Structures: Force Method
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VIEW THE REPLYPublication: Journal of the Structural Division
Volume 91, Issue 6
Abstract
A method for analyzing nonlinear structural systems using the force (flexibility) method is presented herein. Using a differential point of view, the analysis of a nonlinear system is treated as an initial value problem. The equations developed for structural systems are a set of simultaneous nonlinear first-order ordinary differential equations in which the indeterminate quantities are the dependent variables and the applied loading is the independent variable. Integration of these equations for a given set of initial conditions (forces) yields the internal force distribution in the structure. With the force distribution known, the complete displacement pattern of the structure may be easily determined. The method is illustrated through the solution of several problems to demonstrate its feasibility and applicability to systems of practical size and interest. The numerical integration scheme of Runge-Kutta was used to solve the nonlinear equations. The results are compared with those obtained using the displacement method of analysis.
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Published In
Journal of the Structural Division
Volume 91 • Issue 6 • December 1965
Pages: 33 - 48
Copyright
© 1965 American Society of Civil Engineers.
History
Published in print: Dec 1965
Published online: Feb 1, 2021
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Authors
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Ralph M. Richard, M.ASCE
Assoc. Prof., Dept. of Civ. Engrg., Univ. of Ari zona, Tucson, Ariz.
John E. Goldberg, F.ASCE
Prof., Sch. of Civ. Engrg., Purdue Univ., Lafayette, Ind.
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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.