Analysis of Asymmetric Nonviscously Damped Linear Dynamic Systems-Reference-Cited by-同舟云学术

Analysis of Asymmetric Nonviscously Damped Linear Dynamic Systems

Published:2003-11-01 Issue:6 Volume:70 Page:885-893
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Adhikari S.¹,Wagner N.²

Affiliation:

1. Department of Aerospace Engineering, University of Bristol, Queen’s Building, University Walk, Bristol BS8 1TR, UK

2. Institut A fu¨r Mechanik, University of Stuttgart

Abstract

Multiple-degree-of-freedom linear asymmetric nonviscously damped systems are considered. It is assumed that the nonviscous damping forces depend on the past history of velocities via convolution integrals over exponentially decaying kernel functions. An extended state-space approach involving a single asymmetric matrix is proposed. The nature of the eigensolutions in the extended state space has been explored. Some useful results relating the modal matrix in the extended state space and the modal matrix in the original space has been derived. Numerical examples are provided to illustrate the results.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/70/6/885/5471069/885_1.pdf

Reference21 articles.

1. Biot, M. A., 1958, “Linear Thermodynamics and the Mechanics of Solids,” Proceedings of the Third U.S. National Congress on Applied Mechanics, ASME, New York.

2. Woodhouse, J. , 1998, “Linear Damping Models for Structural Vibration,” J. Sound Vib., 215, pp. 547–569.

3. Adhikari, S. , 2002, “Dynamics of Non-Viscously Damped Linear Systems,” J. Eng. Mech., 128, pp. 328–339.

4. Cremer, L., and Heckl, M., 1973, Structure-Borne Sound, second edition, Springer-Verlag, Berlin, Germany, translated by E. E. Ungar.

5. Muravyov, A. , 1997, “Analytical Solutions in the Time Domain for Vibration Problems of Discrete Viscoelastic Systems,” J. Sound Vib., 199, pp. 337–348.

Cited by 42 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. High-efficient complex eigen-solution algorithms for transcendental dynamic stiffness formulations of plate built-up structures with frequency-dependent viscoelastic models;Computers & Structures;2024-09

2. Comprehensive sensitivity analysis of repeated eigenvalues and eigenvectors for structures with viscoelastic elements;Acta Mechanica;2024-06-08

3. Improved explicit quartic B-spline time integration scheme for dynamic response analysis of viscoelastic systems;Mechanical Systems and Signal Processing;2024-02

4. A time-marching procedure based on a sub-step explicit time integration scheme for non-viscous damping systems;Engineering with Computers;2023-05-24

5. Dynamic Characterization and Vibration Performance of Polymeric Composite Structures;Encyclopedia of Materials: Plastics and Polymers;2022