Nonlinear Modal Analysis of Mechanical Systems with Frictionless Contact Interfaces

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.
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Contributeur : Denis Laxalde <>
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Dernière modification le : jeudi 3 février 2011 - 09:04:13
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Denis Laxalde, Mathias Legrand. Nonlinear Modal Analysis of Mechanical Systems with Frictionless Contact Interfaces. Computational Mechanics, Springer Verlag, 2011, In press. 〈10.1007/s00466-010-0556-3〉. 〈hal-00492775v2〉

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