Nonlinear dynamic analysis of shells with the triangular element TRIC

Argyris, J; Papadrakakis, M; Mouroutis, ZS

dc.contributor.author	Argyris, J	en
dc.contributor.author	Papadrakakis, M	en
dc.contributor.author	Mouroutis, ZS	en
dc.date.accessioned	2014-03-01T01:19:19Z
dc.date.available	2014-03-01T01:19:19Z
dc.date.issued	2003	en
dc.identifier.issn	0045-7825	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15425
dc.subject	Computational Efficiency	en
dc.subject	Nonlinear Dynamic Analysis	en
dc.subject	Nonlinear Dynamics	en
dc.subject	Rigid Body	en
dc.subject	Satisfiability	en
dc.subject	Shear Deformation	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.other	Kinematics	en
dc.subject.other	Matrix algebra	en
dc.subject.other	Problem solving	en
dc.subject.other	Shear deformation	en
dc.subject.other	Shear-locking	en
dc.subject.other	Shells (structures)	en
dc.subject.other	dynamic analysis	en
dc.title	Nonlinear dynamic analysis of shells with the triangular element TRIC	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0045-7825(03)00315-3	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0045-7825(03)00315-3	en
heal.language	English	en
heal.publicationDate	2003	en
heal.abstract	TRIC is a facet triangular shell element, which is based on the natural mode method. It has been shown that the TRIC shell element satisfies the individual element test and in the framework of the nonconsistent formulation the convergence requirements are fulfilled, while it has been proved to be very efficient in linear and nonlinear static problems. Moreover, another major advantage in the formulation of this element is the incorporation of the transverse shear deformations in a way that defies the shear-locking phenomenon. In this work the derivation of the consistent and lumped mass matrices of the TRIC element is presented so that it can be used in linear and nonlinear dynamic problems. Both translational and rotational inertia are included in the consistent mass matrix, which is conceived, using kinematical and geometrical arguments consistent with the assumed natural rigid body and straining modes of the element. All the kinematical and geometrical arguments that are invoked for the derivation of the consistent mass matrix are briefly presented. Moreover, two formulations of the lumped mass matrix of TRIC are derived. The first formulation is based entirely on geometrical considerations whereas the second is based on lumping the consistent mass matrix of TRIC. Finally, the element's robustness and accuracy will be shown by applying it to properly selected benchmark examples of nonlinear shell dynamics, while its computational efficiency will be demonstrated by comparing the CPU performance of the element with the other available shell elements. (C) 2003 Elsevier B.V. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE SA	en
heal.journalName	Computer Methods in Applied Mechanics and Engineering	en
dc.identifier.doi	10.1016/S0045-7825(03)00315-3	en
dc.identifier.isi	ISI:000184194400010	en
dc.identifier.volume	192	en
dc.identifier.issue	26-27	en
dc.identifier.spage	3005	en
dc.identifier.epage	3038	en