Research Article
Apr 1964
Numerical Method for Structural Shock Response
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VIEW THE REPLYAuthors: G.J. O'Hara and P.F. Cuniff, AM.ASCEAuthor Affiliations
Publication: Journal of the Engineering Mechanics Division
Volume 90, Issue 2
Abstract
Numerical integration equations are derived for determining the response of nonlinear structures subjected to transient loads. The numerical method consists of approximating the nonlinear variables and the forcing functions in the differential equation of motion over a short interval of time by their mean value, by a straight line, or by a segment of a parabola. This allows for Duhamel integral-type solutions for the nonlinear terms. A step solution follows that uses an iteration method during each increment of the solution. The sufficient condition for the convergance of the iteration method is presented for the case of a finite number of numerical equations. Example problems of a one-degree-of-freedom system and a two-degree-of-freedom system are solved by the numerical integration equation, and the solutions are compared with response curves obtained from analog computers at the U. S. Naval Research Laboratory.
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Published In
Journal of the Engineering Mechanics Division
Volume 90 • Issue 2 • April 1964
Pages: 51 - 82
Copyright
© 1964 American Society of Civil Engineers.
History
Published in print: Apr 1964
Published online: Feb 3, 2021
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Authors
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G.J. O'Hara
U.S. Naval Research Lab., Washington, D. C.
P.F. Cuniff, AM.ASCE
Dept. of Mechanical Engrg., Univ. of Maryland, College Park, Md.; formerly, U. S. Naval Research Lab., Washington, D. C.
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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.