Research Article
Oct 1965
Two Degree-of-Freedom Elastoplastic Response to a Step Velocity Pulse
Publication: Journal of the Engineering Mechanics Division
Volume 91, Issue 5
Abstract
The response of a two-degree-of-freedom elastoplastic system subjected to an instantaneous change in velocity is presented. The specific excitation considered is of interest in problems involving severe shocks of short duration, and, specifically, to problems of vehicular collision, package cushioning of sensitive equipment, air delivery, and building frames subject to ground shock. The approach used consists in studying first the response on the assumption that one of the two springs remains elastic while the other spring deforms beyond the limiting elastic range. For example, it was found that when only base spring yielding is allowed, the law of variation of the maximum deformation of the base spring conforms to that of a single-degree-of-freedom elastoplastic system. Next, consideration is given to systems for which both springs can yield, and, for certain combinations of the parameters, approximate relationships are presented for defining conditions under which yielding is likely to be localized in one of the springs.
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Published In
Journal of the Engineering Mechanics Division
Volume 91 • Issue 5 • October 1965
Pages: 191 - 213
Copyright
© 1965 American Society of Civil Engineers.
History
Published in print: Oct 1965
Published online: Feb 3, 2021
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Authors
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Robert H. Anderson, AM.ASCE
Vice Pres., Mechanics Research, Inc., El Segundo, Calif.
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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.