Computational methods for complex eigenproblems in finite element analysis of structural systems with viscoelastic damping treatments

DOI10.1016/j.cma.2006.01.006zbMath1144.74039OpenAlexW1990562098MaRDI QIDQ2382833

Fernando Cortés, María Jesús Elejabarrieta

Publication date: 4 October 2007

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

Full work available at URL: https://doi.org/10.1016/j.cma.2006.01.006

zbMATH Keywords

beameigenvector derivativesfree layer dampingfinite increments

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

Related Items (5)

Fast stochastic analysis for non-proportionally damped system ⋮ Accurate method for harmonic responses of non-classically damped systems in the middle frequency range ⋮ Perturbation spectrum method for seismic analysis of non-classically damped systems ⋮ Resolvent sampling based Rayleigh-Ritz method for large-scale nonlinear eigenvalue problems ⋮ Computation of eigenvalues in proportionally damped viscoelastic structures based on the fixed-point iteration

Uses Software

• Matlab

Cites Work

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• Eigenvalues of damped structures: Vector-iteration in the original space of DOF
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• An efficient algebraic method for the computation of natural frequency and mode shape sensitivities—Part I. Distinct natural frequencies
• Modal Analysis for Rotating Machinery
• Analysis Of Errors And Approximations In The Use Of Modal Co-Ordinates
• Subspace iteration for complex symmetric eigenproblems
• The use of ADINA for analysis of mines with explosive fills
• Rates of change of eigenvalues and eigenvectors.
• A Simplex Method for Function Minimization
• An Algorithm for Generalized Matrix Eigenvalue Problems
• The principle of minimized iterations in the solution of the matrix eigenvalue problem
• Variational Principles in Irreversible Thermodynamics with Application to Viscoelasticity

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