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Free Vibrational Characteristics of Sandwich Cylindrical Shells Containing a Zero Poisson's Ratio Cellular Core

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Abstract

Purpose

Cellular configurations with ZPR more suitable for cylindrical sandwich shell in which the structure needs undergo pure cylindrical bending. To date, research in the vibration response of cylindrical sandwich shell is still a challenging task. This article proposes one method for free vibration analysis of sandwich cylindrical shells consisting of elastic-isotropic skin and a zero Poisson's ratio cellular core was proposed.

Method

The free vibration characteristics of the sandwich cylindrical shells has been studied using classical thin shell theory. Theoretical models of the effective mechanical performances of the cellular core are established by homogenization methods. The accuracies of theoretical predictions are validated by the finite element method and comparing with others from some available literatures.

Results and Conclusions

Based on the theoretical predictions, the influences on effective mechanical performances of the cellular core and natural frequencies of the sandwich cylindrical shell caused by geometric parameters are evaluated in detail. These geometrical parameters provide different contributions to the effective mechanical properties and dynamic response, which can lead to separate designs for improving their dynamic characteristics.

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Data availability

The datasets generated during and/or analysed during the current study are available from the corresponding author on reasonable request.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China under Grant No. 12111540251, the National Natural Science Foundation of China under Grant No. 11872207, Aeronautical Science Foundation of China under Grant No. 20180952007, Foundation of National Key Laboratory on Ship Vibration and Noise under Grant No. 614220400307, and the National Key Research and Development Program of China under Grant NO. 2019YFA708904.

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Authors and Affiliations

  1. State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China

    Leipeng Song, Taoxi Wang, Xing Shen, Hongjie Wang & Chao Yin

  2. National Key Laboratory of Ship Vibration & Noise, China Ship Science Research Center, Wuxi, 214082, China

    Zhiyong Yin

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  1. Leipeng Song
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Correspondence to Zhiyong Yin.

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Song, L., Wang, T., Yin, Z. et al. Free Vibrational Characteristics of Sandwich Cylindrical Shells Containing a Zero Poisson's Ratio Cellular Core. J. Vib. Eng. Technol. 12, 1603–1620 (2024). https://doi.org/10.1007/s42417-023-00928-2

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