NDLI: Non-linear beam vibration problems and simplifications in finite element models

Content Provider	Springer Nature Link
Author	Marur, S. R. Prathap, G.
Copyright Year	2004
Abstract	When finite element formulations are used to study the non-linear vibration problems, some simplifications, which are not consistent with the governing variational principles, are commonly employed. Three such simplifications are critically reviewed here, through beam finite element models. The first one, ‘equivalent/ quasi-linearisation technique’ is shown to have a reduced non-linear stiffness. The second, where in ‘neglect of in plane displacements’ takes place, is seen to register an excessive non-linear stiffness. Thirdly, when both these simplifications are introduced together, they produce results closer to those of variationally correct ones,rather fortuitously. The objective of this paper is to highlight the necessity of formulating this class of problems in a variationally correct and consistent manner. Numerical computations are performed systematically, using two different beam finite element models for various commonly studied boundary conditions and suitable conclusions are drawn.
Starting Page	352
Ending Page	360
Page Count	9
File Format	PDF
ISSN	01787675
Journal	Computational Mechanics
Volume Number	35
Issue Number	5
e-ISSN	14320924
Language	English
Publisher	Springer-Verlag
Publisher Date	2004-11-19
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Finite elements Non-linear beam vibrations Quasi-linearisation Neglect of in plane displacements Thermodynamics Condensed Matter Numerical and Computational Methods in Engineering Systems and Information Theory in Engineering Theoretical and Applied Mechanics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Ocean Engineering Computational Theory and Mathematics Mechanical Engineering Computational Mechanics Computational Mathematics

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