Nonlinear modal analysis of mechanical systems with frictionless contact interfaces

• Published in: Computational mechanics Vol. 47; no. 4; pp. 469 - 478
• Main Authors: Laxalde, Denis, Legrand, Mathias
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer-Verlag 01.04.2011; Springer; Springer Nature B.V; Springer Verlag
• Subjects: Classical and Continuum Physics; Compressor blades; Computational Science and Engineering; Constraints; Contact; Engineering; Engineering Sciences; Frictionless contact; Inequalities; Mechanical systems; Mechanics; Minimization; Modal analysis; Nonlinear analysis; Nonlinear systems; Nonlinearity; Optimization; Original Paper; Physics; Quotients; Strategy; Structural mechanics; Theoretical and Applied Mechanics; Turbomachinery; Vibrations; Unilateral contact; Rayleigh quotient; Fourier methods; Nonlinear modes; Blades; Augmented Lagrangian; nonlinear modes; blades; augmented Lagrangian; unilateral contact

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 constraint...