Higher order eigensensitivities-based numerical method for the harmonic analysis of viscoelastically damped structures

DOI10.1002/nme.3222zbMath1242.74030OpenAlexW2009196317MaRDI QIDQ2894870

María Jesús Elejabarrieta, M. Martinez-Agirre

Publication date: 2 July 2012

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.3222

zbMATH Keywords

viscoelastic materialsstructural dampingcomplex mode superposition methodnon-proportional dampingeigenderivatives

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Linear constitutive equations for materials with memory (74D05)

Related Items (3)

Numerical analysis of fractional partial differential equations applied to polymeric visco-elastic Euler-Bernoulli beam under quasi-static loads ⋮ Modal analysis of rotating pre-twisted viscoelastic sandwich beams ⋮ Computation of eigenvalues in proportionally damped viscoelastic structures based on the fixed-point iteration

Uses Software

• ARPACK

Cites Work

• Unnamed Item
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• High-order layerwise mechanics and finite element for the damped dynamic characteristics of sandwich composite beams
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• Classical Normal Modes in Damped Linear Dynamic Systems
• High-order layerwise finite element for the damped free-vibration response of thick composite and sandwich composite plates
• Fractional calculus - A different approach to the analysis of viscoelastically damped structures
• Derivatives of eigenvalues and eigenvectors of a general complex matrix
• Simplified calculation of eigenvector derivatives
• Iterative method for calculating derivatives of eigenvectors
• ARPACK Users' Guide
• Calculation of second and higher order eigenvector derivatives
• Rates of change of eigenvalues and eigenvectors.
• The principle of minimized iterations in the solution of the matrix eigenvalue problem

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