Modal Analysis of Multi-Degrees-of-Freedom Systems with Singular Matrices: Analytical Dynamics Approach



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-.

[img] Text
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
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