A shift approach for the dynamic response of rigid-plastic systems

Voyagaki, E; Mylonakis, G; Psycharis, IN

dc.contributor.author	Voyagaki, E	en
dc.contributor.author	Mylonakis, G	en
dc.contributor.author	Psycharis, IN	en
dc.date.accessioned	2014-03-01T01:35:01Z
dc.date.available	2014-03-01T01:35:01Z
dc.date.issued	2011	en
dc.identifier.issn	0098-8847	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20944
dc.subject	Analysis	en
dc.subject	Closed-form solution	en
dc.subject	Near-fault	en
dc.subject	Pulse	en
dc.subject	Rigid-plastic system	en
dc.subject	Scaling	en
dc.subject	Sliding system	en
dc.subject.classification	Engineering, Civil	en
dc.subject.classification	Engineering, Geological	en
dc.subject.other	Analysis	en
dc.subject.other	Closed-form solution	en
dc.subject.other	Near-fault	en
dc.subject.other	Pulse	en
dc.subject.other	Rigid-plastic system	en
dc.subject.other	Scaling	en
dc.subject.other	Sliding system	en
dc.subject.other	Civil engineering	en
dc.subject.other	Dynamic loads	en
dc.subject.other	Earthquakes	en
dc.subject.other	Professional aspects	en
dc.subject.other	Dynamic response	en
dc.subject.other	deformation	en
dc.subject.other	dynamic response	en
dc.subject.other	earthquake engineering	en
dc.subject.other	earthquake mechanism	en
dc.subject.other	ground motion	en
dc.subject.other	loading test	en
dc.subject.other	peak acceleration	en
dc.subject.other	seismic response	en
dc.subject.other	strong motion	en
dc.title	A shift approach for the dynamic response of rigid-plastic systems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1002/eqe.1063	en
heal.identifier.secondary	http://dx.doi.org/10.1002/eqe.1063	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	A shift approach is presented for evaluating and interpreting the response of rigid-perfectly plastic single-degree-of-freedom systems to dynamic loading. Scaling laws for such systems are, as the term suggests, multiplicative in nature, relating peak dynamic response to products of key problem parameters such as linear spectral coordinates, force reduction coefficient and peak values of the excitation and its time derivatives. Contrary to classical laws, the proposed approach is additive, imposing a shift in the ordinates and the abscissa of the excitation function by means of a set of parameters uniquely related to the yielding resistance of the system. The dynamic response is then obtained by integrating the modified excitation function in a linear-like manner within a particular yielding branch, for the nonlinearity is incorporated into the forcing term. The mathematical validity of the approach is demonstrated analytically and its importance is highlighted for systems with symmetric yielding resistance subjected to near-fault earthquake motions. The modified excitation function may be discontinuous between different yielding branches and relates uniquely to the development of plastic deformation. It is thereby referred to as Plastic Input Motion (PIM). It is shown that the ordinates and the duration of this function may be significantly (yet not necessarily) smaller than those of the original ground motion depending on yield strength. The relationship of the proposed approach to the existing methods and parameters of earthquake engineering such as Newmark's sliding block and relative ground acceleration, is discussed. Copyright (C) 2010 John Wiley & Sons, Ltd.	en
heal.publisher	WILEY-BLACKWELL	en
heal.journalName	Earthquake Engineering and Structural Dynamics	en
dc.identifier.doi	10.1002/eqe.1063	en
dc.identifier.isi	ISI:000291497800002	en
dc.identifier.volume	40	en
dc.identifier.issue	8	en
dc.identifier.spage	847	en
dc.identifier.epage	866	en