Use of the Symmetries in the Study of Vibration Response of a Hollow Cylinder

Autor:	Marin Marin, Sorin Vlase, Călin Itu, Ana Toderiță
Rok vydání:	2021
Předmět:	hollow cylinder Physics FEM Physics and Astronomy (miscellaneous) General Mathematics Computation Equations of motion Mechanics eigenmode Finite element method Symmetry (physics) Vibration Chemistry (miscellaneous) Normal mode Homogeneous space QA1-939 Computer Science (miscellaneous) eigenvalue vibration Mathematics Eigenvalues and eigenvectors symmetry
Zdroj:	Symmetry Volume 13 Issue 11 Symmetry, Vol 13, Iss 2145, p 2145 (2021)
ISSN:	2073-8994
DOI:	10.3390/sym13112145
Popis:	The paper studies the vibration response of an elastic solid that has geometric symmetries. These determine special properties of the equations of motion of such a system, presented in the case of a cylindrical body (hollow cylinder). The properties of the eigenvalues and eigenmodes of these systems are theoretically established. A validation of these results is made using the finite element method. The use of the obtained results can lead to an easing of the vibration analysis of such a system and, consequently, to the decrease of the cost related to the design and manufacture of such a structure. The properties presented and demonstrated in the paper can simplify the numerical calculation and experimental verifications of such a structure. Serving these symmetries, the computation cost decrease substantially and will depend not in the number of the identical parts.
Databáze:	OpenAIRE
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