A Wave Finite Element Method for Free Vibration Analysis of Lattice Core Sandwich Cylindrical Shells

HAN Shaoyan; GAO Ruxin

doi:10.21656/1000-0887.440130

Volume 45 Issue 1

Jan. 2024

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HAN Shaoyan, GAO Ruxin. A Wave Finite Element Method for Free Vibration Analysis of Lattice Core Sandwich Cylindrical Shells[J]. Applied Mathematics and Mechanics, 2024, 45(1): 25-33. doi: 10.21656/1000-0887.440130

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A Wave Finite Element Method for Free Vibration Analysis of Lattice Core Sandwich Cylindrical Shells

doi: 10.21656/1000-0887.440130

HAN Shaoyan^1
,,
GAO Ruxin^{2, 3
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1.
School of Mechanical Engineering, Xi'an Jiaotong University City College, Xi'an 710018, P.R.China
2.
Institute of Advanced Structure Technology, Beijing Institute of Technology, Beijing 100081, P.R.China
3.
State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian, Liaoning 116024, P.R.China

Received Date: 2023-04-30
Rev Recd Date: 2023-10-10
Publish Date: 2024-01-01

Abstract

Abstract

A wave finite element method was developed for the free vibration analysis of lattice core sandwich cylindrical shells. Firstly, based on the propagation law of free waves, governing equations for a core element of the lattice core sandwich cylindrical shell was established. Compared with the full-scale finite element model, degrees of freedom of the governing equations for a core element are significantly reduced. Secondly, an explicit expression for the inverse of the constrained dynamic stiffness matrix was derived based on the Neumann series, which not only improves computation efficiency but also separates the natural frequency from the governing equations, thereby transforming the natural frequency solution of the lattice core sandwich cylindrical shell into a quadratic eigenvalue problem of a core element. Finally, according to the relationship between the structural vibration mode and the free wave, the expressions of the axial and circumferential wave propagation parameters of the cylindrical shell were given, and the natural frequencies and modes of the lattice core sandwich cylindrical shell were obtained. Numerical examples of the free vibration analysis on a lattice core sandwich cylindrical shell under different boundary conditions verify the validity and efficiency of the proposed method.
- lattice core,
- cylindrical shell,
- free vibration,
- wave finite element,
- wave propagation

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References(28)

References

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