NDLI: Nonlinear modal analysis of mechanical systems with frictionless contact interfaces

Content Provider	Springer Nature Link
Author	Laxalde, Denis Legrand, Mathias
Copyright Year	2010
Abstract	This paper explores mechanical systems undergoing unilateral frictionless contact conditions in the framework of nonlinear modal analysis. The nonlinear eigenproblem is formulated in the frequency domain through the minimization of a Rayleigh quotient subject to non-penetration inequality constraints. An additional equality constraint is introduced for normalization purposes. The resulting constrained minimization problem is then solved using an augmented Lagrangian strategy. Two applications are proposed: a thin longitudinal rod in unilateral contact with a rigid obstacle and a turbomachinery compressor blade in contact with a rigid casing. The first application illustrates the complexity of the nonlinear modal characterization of a system experiencing unilateral contact conditions while the second demonstrates the applicability of the proposed approach to large-scale mechanical systems involving non-smooth nonlinear terms.
Starting Page	469
Ending Page	478
Page Count	10
File Format	PDF
ISSN	01787675
Journal	Computational Mechanics
Volume Number	47
Issue Number	4
e-ISSN	14320924
Language	English
Publisher	Springer-Verlag
Publisher Date	2010-12-03
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Nonlinear modes Unilateral contact Rayleigh quotient Fourier methods Augmented Lagrangian Blades Classical Continuum Physics Computational Science and 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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