Nonlinear flutter instability of thin damped plates: A solution by the analog equation method

Katsikadelis, JT; Babouskos, NG

dc.contributor.author	Katsikadelis, JT	en
dc.contributor.author	Babouskos, NG	en
dc.date.accessioned	2014-03-01T01:31:21Z
dc.date.available	2014-03-01T01:31:21Z
dc.date.issued	2009	en
dc.identifier.issn	1559-3959	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19787
dc.subject	Aerodynamic loads	en
dc.subject	Aeroelasticity	en
dc.subject	Analog equation method	en
dc.subject	Boundary elements	en
dc.subject	Follower forces	en
dc.subject	Instability	en
dc.subject	Nonlinear flutter	en
dc.subject	Plates	en
dc.subject.classification	Materials Science, Multidisciplinary	en
dc.subject.classification	Mechanics	en
dc.subject.other	FOLLOWER FORCE	en
dc.subject.other	PANEL FLUTTER	en
dc.subject.other	STABILITY	en
dc.title	Nonlinear flutter instability of thin damped plates: A solution by the analog equation method	en
heal.type	journalArticle	en
heal.identifier.primary	10.2140/jomms.2009.4.1395	en
heal.identifier.secondary	http://dx.doi.org/10.2140/jomms.2009.4.1395	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	We investigate the nonlinear flutter instability of thin elastic plates of arbitrary geometry subjected to a combined action of conservative and nonconservative loads in the presence of both internal and external damping and for any type of boundary conditions. The response of the plate is described in terms of the displacement field by three coupled nonlinear partial differential equations (PDEs) derived from Hamilton's principle. Solution of these PDEs is achieved by the analog equation method (AEM), which uncouples the original equations into linear, quasistatic PDEs. Specifically, these are a biharmonic equation for the transverse deflection of the plate, that is, the bending action, plus two linear Poisson's equations for the accompanying in-plane deformation, that is, the membrane action, under time-dependent fictitious loads. The fictitious loads themselves are established using the domain boundary element method (D/BEM). The resulting system for the semidiscretized nonlinear equations of motion is first transformed into a reduced problem using the aeroelastic modes as Ritz vectors and then solved by a new AEM employing a time-integration algorithm. A series of numerical examples is subsequently presented so as to demonstrate the efficiency of the proposed methodology and to validate the accuracy of the results. In sum, the AEM developed herein provides an efficient computational tool for realistic analysis of the admittedly complex phenomenon of flutter instability of thin plates, leading to better understanding of the underlying physical problem.	en
heal.publisher	MATHEMATICAL SCIENCE PUBL	en
heal.journalName	Journal of Mechanics of Materials and Structures	en
dc.identifier.doi	10.2140/jomms.2009.4.1395	en
dc.identifier.isi	ISI:000273570900013	en
dc.identifier.volume	4	en
dc.identifier.issue	7-8	en
dc.identifier.spage	1395	en
dc.identifier.epage	1414	en