Efficient modal analysis of systems with local stiffness uncertainties

DOI10.1002/nme.2657zbMath1176.74216OpenAlexW2169599294MaRDI QIDQ3649919

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Publication date: 7 December 2009

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.2657

zbMATH Keywords

modal analysisparameter uncertaintyuncertainty quantificationrandom eigenvalue

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Random vibrations in mechanics of particles and systems (70L05) Random vibrations in dynamical problems in solid mechanics (74H50) Stochastic and other probabilistic methods applied to problems in solid mechanics (74S60)

Related Items (1)

Application of the random eigenvalue problem in forced response analysis of a linear stochastic structure

Cites Work

• Random eigenvalues, algebraic methods and structural dynamic models
• Reanalysis of linear and nonlinear structures using iterated Shanks transformation.
• Numerical Methods for Large Eigenvalue Problems
• Eigensolution reanalysis of modified structures using epsilon-algorithm
• Random matrix eigenvalue problems in structural dynamics
• Dynamic analysis using a reduced basis of exact modes and Ritz vectors
• An improved computational technique for perturbations of the generalized symmetric linear algebraic eigenvalue problem
• Eigensolution reanalysis of modified structures using perturbations and Rayleigh quotients
• Eigenproblem Error Bounds with Application to Symmetric Dynamic System Modification
• Eigenvalue error analysis of viscously damped structures using a Ritz reduction method
• Procedures for approximate eigenproblem reanalysis of structures

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