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New matrix method for analyzing vibration and damping effect of sandwich circular cylindrical shell with viscoelastic core

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Abstract

Based on the linear theories of thin cylindrical shells and viscoelastic materials, a governing equation describing vibration of a sandwich circular cylindrical shell with a viscoelastic core under harmonic excitation is derived. The equation can be written as a matrix differential equation of the first order, and is obtained by considering the energy dissipation due to the shear deformation of the viscoelastic core layer and the interaction between all layers. A new matrix method for solving the governing equation is then presented with an extended homogeneous capacity precision integration approach. Having obtained these, vibration characteristics and damping effect of the sandwich cylindrical shell can be studied. The method differs from a recently published work as the state vector in the governing equation is composed of displacements and internal forces of the sandwich shell rather than displacements and their derivatives. So the present method can be applied to solve dynamic problems of the kind of sandwich shells with various boundary conditions and partially constrained layer damping. Numerical examples show that the proposed approach is effective and reliable compared with the existing methods.

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Authors and Affiliations

  1. Department of Automotive Engineering, Guangxi University of Technology, Liuzhou, 545006, Guangxi Province, P. R. China

    Yu Xiang  (向宇), Jing Lu  (陆静) & Li-yun Yuan  (袁丽芸)

  2. College of Civil Engineering and Mechanics, Huazhong University of Science and Technology, Wuhan, 430074, P. R. China

    Yu-ying Huang  (黄玉盈), Li-yun Yuan  (袁丽芸) & Shi-zhi Zou  (邹时智)

Authors
  1. Yu Xiang  (向宇)
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  2. Yu-ying Huang  (黄玉盈)
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  3. Jing Lu  (陆静)
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  4. Li-yun Yuan  (袁丽芸)
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  5. Shi-zhi Zou  (邹时智)
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Corresponding author

Correspondence to Yu Xiang  (向宇).

Additional information

(Communicated by FU Yi-ming)

Project supported by the National Natural Science Foundation of China (No. 10662003) and the Doctoral Fund of Ministry of Education of China (No. 20040787013)

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Xiang, Y., Huang, Yy., Lu, J. et al. New matrix method for analyzing vibration and damping effect of sandwich circular cylindrical shell with viscoelastic core. Appl. Math. Mech.-Engl. Ed. 29, 1587–1600 (2008). https://doi.org/10.1007/s10483-008-1207-x

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  • DOI: https://doi.org/10.1007/s10483-008-1207-x

Key words

Chinese Library Classification

2000 Mathematics Subject Classification

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