Multiparametric computation of eigenvalues for linear viscoelastic structures

被引：16
|
作者：
Lazaro, Mario [1 ]
Perez-Aparicio, Jose L. [1 ]
机构：
[1] Univ Politecn Valencia, Dept Continuum Mech & Theory Struct, Valencia 46022, Spain
来源：
COMPUTERS & STRUCTURES | 2013年 / 117卷
关键词：
Viscoelastic structures; Complex eigenvalues; Damping parameters; Eigenvalue derivative; DYNAMIC-ANALYSIS; NUMERICAL-METHOD; TIME-DOMAIN; DERIVATIVES; SYSTEMS; EIGENSOLUTIONS; EIGENVECTORS; ALGORITHMS; VIBRATIONS; RATES;
D O I：
10.1016/j.compstruc.2012.12.003
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
A new methodology for the computation of complex eigenvalues for multi-degree-of-freedom linear viscoelastic structures is presented. It is assumed that damping matrix does not only depends on the frequency but also on a set of parameters that control the dissipative mechanisms. Eigenvalues are then functions of a multi-variable array formed by damping parameters. The key idea is to approximate the eigenvalues as solutions of a specially developed differential equation. Proportional and non-proportional damping are studied separately. In addition, the error order and the computational complexity are rigorously analyzed. Numerical examples show very good agreement between proposed and exact solutions. (C) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码：67 / 81
页数：15
相关论文
共 50 条
  • [41] MULTIPARAMETRIC LINEAR PROGRAMMING
    GAL, T
    NEDOMA, J
    MANAGEMENT SCIENCE SERIES A-THEORY, 1972, 18 (07): : 406 - 422
  • [42] Harmonic response computation of viscoelastic multilayered structures using a ZPST shell element
    Chazot, Jean-Daniel
    Nennig, Benoit
    Chettah, Ameur
    COMPUTERS & STRUCTURES, 2011, 89 (23-24) : 2522 - 2530
  • [43] A mixed parameter formulation with applications to linear viscoelastic slender structures
    Hernandez, Erwin
    Lepe, Felipe
    Vellojin, Jesus
    ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS, 2024, 58 (01) : 157 - 189
  • [44] APPROXIMATE ANALYSIS OF STRUCTURES COMPOSED OF NONHOMOGENEOUS LINEAR VISCOELASTIC MATERIAL
    GOODALL, IW
    IRVING, J
    NUCLEAR ENGINEERING AND DESIGN, 1972, 22 (01) : 63 - &
  • [45] On the Computation of Eigenvalues of the Anharmonic Coulombic Potential
    Tyler Cassidy
    Philippe Gaudreau
    Hassan Safouhi
    Journal of Mathematical Chemistry, 2018, 56 : 477 - 492
  • [46] COMPUTATION OF TIGHT ENCLOSURES FOR LAPLACIAN EIGENVALUES
    Dahne, Joel
    Salvy, Bruno
    SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2020, 42 (05): : A3210 - A3232
  • [47] Gaussian effective potential: Computation of eigenvalues
    Pattanayak, AK
    Schieve, WC
    PHYSICAL REVIEW A, 1996, 54 (01) : 947 - 950
  • [48] On the Computation of Eigenvalues of the Anharmonic Coulombic Potential
    Cassidy, Tyler
    Gaudreau, Philippe
    Safouhi, Hassan
    JOURNAL OF MATHEMATICAL CHEMISTRY, 2018, 56 (02) : 477 - 492
  • [49] DIRECT COMPUTATION OF DERIVATIVES OF EIGENVALUES AND EIGENVECTORS
    ANDREW, AL
    de Hoog, FR
    TAN, RCE
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 1990, 36 (3-4) : 251 - 255
  • [50] ITERATIVE COMPUTATION OF DERIVATIVES OF EIGENVALUES AND EIGENVECTORS
    ANDREW, AL
    JOURNAL OF THE INSTITUTE OF MATHEMATICS AND ITS APPLICATIONS, 1979, 24 (02): : 209 - 218
12345