Optimal inertia lumping from modal mass matrices for structural dynamics

DOI10.1016/S0045-7825(98)00011-5zbMath0956.74016MaRDI QIDQ1971442

W. Pan, E. J. jun. Haug

Publication date: 19 March 2001

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

structural analysisflexible multibody dynamic simulationlumped inertia modelsmodal mass matricesnondifferentiability of repeated eigenvaluesoptimal inertia lumping formulation

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Thin bodies, structures (74K99) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

Related Items (3)

Flexible multibody dynamic simulation using optimal lumped inertia matrices ⋮ Optimal inertia lumping from modal mass matrices for structural dynamics ⋮ On highly convergent 2D acoustic and elastic wave propagation models

Uses Software

• ANSYS

Cites Work

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• Effective use of numerical optimization in structural design
• Zero and negative masses in finite element vibration and transient analysis
• Design sensitivity analysis of structural systems
• Optimal inertia lumping from modal mass matrices for structural dynamics
• Calculation of eigenvector derivatives for structures with repeated eigenvalues
• An iterative method for finite dimensional structural optimization problems with repeated eigenvalues
• Modal sensitivities for repeated eigenvalues and eigenvalue derivatives
• Component model reduction methodology for articulate multiflexible body structures
• Computation of eigenvector derivatives with repeated eigenvalues using a complete modal space

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