Order reduction of forced nonlinear systems using updated LELSM modes with new Ritz vectors

DOI10.1007/s11071-010-9765-8zbMath1215.65136OpenAlexW1981036342MaRDI QIDQ547166

Mohammad A. Al-Shudeifat, Eric A. Butcher

Publication date: 30 June 2011

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-010-9765-8

zbMATH Keywords

proper orthogonal decompositionnonlinear dynamic systemsmodel order reductionlocal equivalent linear stiffnesssmooth nonlinearity

Mathematics Subject Classification ID

Numerical methods for ordinary differential equations (65L99) Software, source code, etc. for problems pertaining to dynamical systems and ergodic theory (37-04)

Cites Work

• Order reduction of structural dynamic systems with static piecewise linear nonlinearities
• Numerical calculation of nonlinear normal modes in structural systems
• Nonlinear dynamic analysis of a structure with a friction-based seismic base isolation system
• Construction of dynamically equivalent time-invariant forms for time-periodic systems
• Component mode synthesis using nonlinear normal modes
• The method of proper orthogonal decomposition for dynamical characterization and order reduction of mechanical systems: an overview
• Order reduction of nonlinear systems with time periodic coefficients using invariant manifolds
• Dynamic analysis using a reduced basis of exact modes and Ritz vectors
• Optimal Ritz vectors for component mode synthesis using the singular value decomposition
• Enhanced Proper Orthogonal Decomposition for the Modal Analysis of Homogeneous Structures
• Eigenvalue error analysis of viscously damped structures using a Ritz reduction method
• Coupling of substructures for dynamic analyses.
• Nonlinear modal analysis of structural systems using multi-mode invariant manifolds

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