Dynamic and Sensitivity Analysis General Non-Conservative Asymmetric Mechanical Systems

In this paper the concept of generalized form of proportional damping is proposed. Classical modal analysis of non-conservative continua is extended to multi DOF linear dynamic systems with asymmetric matrices. Mode orthogonality relationships have been generalized to non-conservative systems. Sever...

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Main Author: Žmindák Milan
Format: Article
Language:English
Published: Sciendo 2018-11-01
Series:Journal of Mechanical Engineering
Subjects:
Online Access:https://doi.org/10.2478/scjme-2018-0021
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spelling doaj-ab4701a0acfe411db5dfe1ec53f670612021-09-05T14:01:48ZengSciendoJournal of Mechanical Engineering2450-54712018-11-0168210512410.2478/scjme-2018-0021scjme-2018-0021Dynamic and Sensitivity Analysis General Non-Conservative Asymmetric Mechanical SystemsŽmindák Milan0University of Žilina, Faculty of Mechanical Engineering, Department of Applied Mechanics, Univerzitná 8215/1, 01026Žilina, Slovak RepublicIn this paper the concept of generalized form of proportional damping is proposed. Classical modal analysis of non-conservative continua is extended to multi DOF linear dynamic systems with asymmetric matrices. Mode orthogonality relationships have been generalized to non-conservative systems. Several discretization methods of continua are presented. Finally, an expression for derivatives of eigenvalues and eigenvectors of non-conservative system is presented. Examples are provided to illustrate the proposed methods.https://doi.org/10.2478/scjme-2018-0021non-conservativeasymmetric coefficient matricesdiscretizationgeneral dampingsensitivity
collection DOAJ
language English
format Article
sources DOAJ
author Žmindák Milan
spellingShingle Žmindák Milan
Dynamic and Sensitivity Analysis General Non-Conservative Asymmetric Mechanical Systems
Journal of Mechanical Engineering
non-conservative
asymmetric coefficient matrices
discretization
general damping
sensitivity
author_facet Žmindák Milan
author_sort Žmindák Milan
title Dynamic and Sensitivity Analysis General Non-Conservative Asymmetric Mechanical Systems
title_short Dynamic and Sensitivity Analysis General Non-Conservative Asymmetric Mechanical Systems
title_full Dynamic and Sensitivity Analysis General Non-Conservative Asymmetric Mechanical Systems
title_fullStr Dynamic and Sensitivity Analysis General Non-Conservative Asymmetric Mechanical Systems
title_full_unstemmed Dynamic and Sensitivity Analysis General Non-Conservative Asymmetric Mechanical Systems
title_sort dynamic and sensitivity analysis general non-conservative asymmetric mechanical systems
publisher Sciendo
series Journal of Mechanical Engineering
issn 2450-5471
publishDate 2018-11-01
description In this paper the concept of generalized form of proportional damping is proposed. Classical modal analysis of non-conservative continua is extended to multi DOF linear dynamic systems with asymmetric matrices. Mode orthogonality relationships have been generalized to non-conservative systems. Several discretization methods of continua are presented. Finally, an expression for derivatives of eigenvalues and eigenvectors of non-conservative system is presented. Examples are provided to illustrate the proposed methods.
topic non-conservative
asymmetric coefficient matrices
discretization
general damping
sensitivity
url https://doi.org/10.2478/scjme-2018-0021
work_keys_str_mv AT zmindakmilan dynamicandsensitivityanalysisgeneralnonconservativeasymmetricmechanicalsystems
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