https://doi.org/10.1140/epjp/s13360-024-05279-9
Regular Article
Vibration and damping analyses of sandwich cylindrical and conical shells using meshfree method
1
State Key Laboratory of High Performance Complex Manufacturing, Central South University, 410083, Changsha, People’s Republic of China
2
Key Laboratory of Traffic Safety on Track, Ministry of Education, School of Traffic and Transportation Engineering, Central South University, 410075, Changsha, People’s Republic of China
3
Joint International Research Laboratory of Key Technology for Rail Traffic Safety, Central South University, 410075, Changsha, People’s Republic of China
4
National and Local Joint Engineering Research Center of Safety Technology for Rail Vehicle, Central South University, 410075, Changsha, People’s Republic of China
Received:
9
April
2024
Accepted:
16
May
2024
Published online:
14
June
2024
The vibration and damping characteristics of sandwich shells including cylindrical and conical shells with viscoelastic core layer are investigated by using a meshfree method. The energy principle and Donnel shell hypothesis are applied to establish the theoretical formulations of sandwich shells. The displacement components of the viscoelastic core are expressed as those of base and constraining layers by using continuity condition. The displacement variables of sandwich shells expanded by the meshfree shape function and axial and circumferential directions Fourier series. The validation including accuracy and reliability of the presented method is verified by comparing the presented results with the corresponding results of the existing literatures. Furthermore, the vibration and damping behaviors of sandwich shells are analyzed by investigating the effects of geometric dimensions, material properties and boundary conditions on the natural frequencies and modal loss factors of sandwich shells, which contributes to the preliminary design of sandwich shells with viscoelastic core layer.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.