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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Online Access: | https://doi.org/10.2478/scjme-2018-0021 |
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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 |
_version_ |
1717809523778912256 |