Nonlinear transient localization and beat phenomena due to backlash in a coupled flexible system

Ma, X; Vakakis, AF

dc.contributor.author	Ma, X	en
dc.contributor.author	Vakakis, AF	en
dc.date.accessioned	2014-03-01T02:41:57Z
dc.date.available	2014-03-01T02:41:57Z
dc.date.issued	2001	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/30690
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0035790844&partnerID=40&md5=28a871432c4770fe6bc16332a71523fe	en
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0035790844&partnerID=40&md5=28a871432c4770fe6bc16332a71523fe	en
dc.subject.other	Degrees of freedom (mechanics)	en
dc.subject.other	Eigenvalues and eigenfunctions	en
dc.subject.other	Elastic moduli	en
dc.subject.other	Mathematical models	en
dc.subject.other	Partial differential equations	en
dc.subject.other	Stiffness	en
dc.subject.other	Backlash	en
dc.subject.other	Beat phenomena	en
dc.subject.other	Karhunen Loeve decomposition	en
dc.subject.other	Nonlinear effects	en
dc.subject.other	Nonlinear transient localization	en
dc.subject.other	Vibrations (mechanical)	en
dc.title	Nonlinear transient localization and beat phenomena due to backlash in a coupled flexible system	en
heal.type	conferenceItem	en
heal.publicationDate	2001	en
heal.abstract	Transient nonlinear localization and beat phenomena are studied in a system of two rods coupled with a nonlinear backlash spring. The method of Karhunen-Loeve (K-L) decomposition is used to reduce the order of the dynamics, and to study nonlinear effects by considering energy transfers between leading K-L modes. The computed K-L modes are used to discretize the governing partial differential equations, thus creating accurate and computationally efficient low-dimensional nonlinear models of the system. Reconstruction of transient nonlinear responses using these low dimensional models reveals the accuracy of the order reduction. Poincare' maps are utilized to study the nonlinear localization and beat phenomena caused by the clearance connecting the coupled rods.	en
heal.journalName	Proceedings of the ASME Design Engineering Technical Conference	en
dc.identifier.volume	6 B	en
dc.identifier.spage	1207	en
dc.identifier.epage	1217	en