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

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...

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Bibliographic Details
Published in:Symmetry (Basel) 2021-11, Vol.13 (11), p.2145
Main Authors: Itu, Călin, Vlase, Sorin, Marin, Marin, Toderiță, Ana
Format: Article
Language:English
Subjects:
Boundary conditions
Civil engineering
Construction
Cylinders
Cylindrical bodies
eigenmode
eigenvalue
Eigenvalues
Equations of motion
FEM
Finite element analysis
Finite element method
Geometry
hollow cylinder
Partial differential equations
Physical properties
Symmetry
Vibration
Vibration analysis
Vibration response
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Summary: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.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym13112145