Nonlinear modal analysis of mechanical systems with frictionless contact interfaces

DOI10.1007/S00466-010-0556-3zbMath1398.74353OpenAlexW2010041854MaRDI QIDQ537568

Mathias Legrand, Denis Laxalde

Publication date: 20 May 2011

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-010-0556-3

zbMATH Keywords

Rayleigh quotientnonlinear modesaugmented Lagrangianunilateral contactbladesFourier methods

Mathematics Subject Classification ID

Friction in solid mechanics (74M10) Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05) Nonlinear modes (70K75)

Related Items (4)

Vibration prediction of bladed disks coupled by friction joints ⋮ Forced vibrations of a turbine blade undergoing regularized unilateral contact conditions through the wavelet balance method ⋮ Nonsmooth modal analysis of a \(N\)-degree-of-freedom system undergoing a purely elastic impact law ⋮ Triple scale analysis of periodic solutions and resonance of some asymmetric non linear vibrating systems

Uses Software

• SciPy

Cites Work

• Numerical and experimental analysis of a continuous overhung rotor undergoing vibro-impacts
• A mixed formulation for frictional contact problems prone to Newton like solution methods
• Application of the harmonic balance method to ground moling machines operating in periodic regimes
• Large deformation frictional contact mechanics: Continuum formulation and augmented Lagrangian treatment
• A NEW GALERKIN-BASED APPROACH FOR ACCURATE NON-LINEAR NORMAL MODES THROUGH INVARIANT MANIFOLDS
• A new formulation for the existence and calculation of nonlinear normal modes
• Multiplier methods for engineering optimization
• Lagrange constraints for transient finite element surface contact
• Algorithms for nonlinear constraints that use lagrangian functions
• A continuum‐based finite element formulation for the implicit solution of multibody, large deformation‐frictional contact problems
• Computational Contact Mechanics

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