Lagrange multiplier solution method for pounding of buildings during earthquakes

Papadrakakis, M; Mouzakis, H; Plevris, N; Bitzarakis, S

dc.contributor.author	Papadrakakis, M	en
dc.contributor.author	Mouzakis, H	en
dc.contributor.author	Plevris, N	en
dc.contributor.author	Bitzarakis, S	en
dc.date.accessioned	2014-03-01T01:08:13Z
dc.date.available	2014-03-01T01:08:13Z
dc.date.issued	1991	en
dc.identifier.issn	0098-8847	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10343
dc.subject	lagrange multiplier	en
dc.subject.classification	Engineering, Civil	en
dc.subject.classification	Engineering, Geological	en
dc.subject.other	Buildings--Earthquake Resistance	en
dc.subject.other	Mathematical Techniques--Numerical Methods	en
dc.subject.other	Structural Analysis--Computer Aided Analysis	en
dc.subject.other	Structural Analysis--Dynamic Response	en
dc.subject.other	Building Pounding Response	en
dc.subject.other	lagrange Multipliers	en
dc.subject.other	Buildings	en
dc.title	Lagrange multiplier solution method for pounding of buildings during earthquakes	en
heal.type	journalArticle	en
heal.identifier.primary	10.1002/eqe.4290201102	en
heal.identifier.secondary	http://dx.doi.org/10.1002/eqe.4290201102	en
heal.language	English	en
heal.publicationDate	1991	en
heal.abstract	An effective solution method for studying the pounding response of two or more adjacent buildings during earthquakes is presented. The method is based on the Lagrange multiplier approach by which the geometric compatibility conditions due to contact are enforced. The energy and momentum balance criteria for the contacting bodies are satisfied according to the laws of impact with proper post-impact conditions, which can also take into account local energy absorption phenomena during impact. A solution scheme is proposed which can be incorporated easily into existing computer programs for static and dynamic analysis of structures. The applicability of the algorithm is illustrated in a number of selected sample problems and the correlation of numerical results to analytical solutions, whenever possible, is very satisfactory.	en
heal.publisher	JOHN WILEY & SONS LTD	en
heal.journalName	Earthquake Engineering and Structural Dynamics	en
dc.identifier.doi	10.1002/eqe.4290201102	en
dc.identifier.isi	ISI:A1991GQ33200001	en
dc.identifier.volume	20	en
dc.identifier.issue	11	en
dc.identifier.spage	981	en
dc.identifier.epage	998	en