Pantelous, Athanasios A ORCID: 0000-0001-5738-1471 and Pirrotta, Antonina
(2017)
Modal Analysis of Multi-Degrees-of-Freedom Systems with Singular Matrices: Analytical Dynamics Approach.
JOURNAL OF ENGINEERING MECHANICS, 143 (6).
06017005-.
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Modal Analysis 20160817_R3.pdf - Author Accepted Manuscript Download (379kB) |
Abstract
Complex mechanical (e.g., multibody) systems with different types of constraints are generally performed through analytical dynamics methods. In some cases, however, it is possible that the (augmented) mass and/or stiffness matrices may derive to be singular; consequently, modal analysis, which is used extensively in the classical dynamics literature, fails. In this paper, if the uniqueness condition is satisfied by the constraints, a properly modified modal analysis is elucidated into analytical dynamics leading to the evaluation of the natural frequencies in a simple and straightforward way. Under that framework, advances of both classical and analytical dynamics are taken into consideration for evaluating the structural response.
Item Type: | Article |
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Uncontrolled Keywords: | Modal analysis, Analytical dynamics, Constrained mechanical systems, Singular matrices |
Depositing User: | Symplectic Admin |
Date Deposited: | 20 Oct 2016 08:51 |
Last Modified: | 14 Mar 2024 18:07 |
DOI: | 10.1061/(ASCE)EM.1943-7889.0001232 |
Related URLs: | |
URI: | https://livrepository.liverpool.ac.uk/id/eprint/3003895 |