Simplified model of elastic wave propagation in cylindrical shell chain under impact load and its analytical solution

PENG Kefeng; CUI Shitang; PAN Hao; ZHENG Zhijun; YU Jilin

doi:10.11883/bzycj-2020-0246

Volume 41 Issue 1

Jan. 2021

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PENG Kefeng, CUI Shitang, PAN Hao, ZHENG Zhijun, YU Jilin. Simplified model of elastic wave propagation in cylindrical shell chain under impact load and its analytical solution[J]. Explosion And Shock Waves, 2021, 41(1): 011403. doi: 10.11883/bzycj-2020-0246

Citation:

PENG Kefeng, CUI Shitang, PAN Hao, ZHENG Zhijun, YU Jilin. Simplified model of elastic wave propagation in cylindrical shell chain under impact load and its analytical solution[J]. Explosion And Shock Waves, 2021, 41(1): 011403. doi: 10.11883/bzycj-2020-0246

Citation:

PENG Kefeng, CUI Shitang, PAN Hao, ZHENG Zhijun, YU Jilin. Simplified model of elastic wave propagation in cylindrical shell chain under impact load and its analytical solution[J]. Explosion And Shock Waves, 2021, 41(1): 011403. doi: 10.11883/bzycj-2020-0246

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Simplified model of elastic wave propagation in cylindrical shell chain under impact load and its analytical solution

doi: 10.11883/bzycj-2020-0246

1.
CAS Key Laboratory of Mechanical Behavior and Design of Materials, Department of Modern Mechanics, University of Science and Technology of China, Hefei 230027, Anhui, China
2.
Institute of Applied Physics and Computational Mathematics, Beijing 100088, China

Received Date: 2020-07-17
Rev Recd Date: 2020-08-31
Publish Date: 2021-01-05

Abstract

Abstract

Cylindrical shell chain can cause dispersion of waveform and has the potential to manipulate waveform. An equivalent continuum model and a mesoscopic finite element model of cylindrical shell chain structure were established, and the stress wave propagation process and its geometric dispersion characteristics in cylindrical shell chains under mass impact were studied. For the in-plane compression of a single cylindrical shell, the deformation in the out-of-plane direction is very small and the in-plane deformation perpendicular to the loading direction is relatively large. Thus, the out-of-plane Poisson’s ratio can be taken as 0, but the in-plane one cannot be ignored. For the simplification of analysis, the cylindrical shell chain is considered as a rod composed of anisotropic homogeneous continuum. Based on the Rayleigh-Love wave equation with the transverse inertia correction, the governing equation of elastic wave propagation in a cylindrical shell chain under mass impact was obtained and rewritten in a dimensionless form. The analytical solutions of displacement, velocity and strain fields were obtained by using Laplace transform and its inverse transform and expressed in the form of infinite series. A chain with 30 cylindrical shells was constructed numerically and its dynamic impact behavior was simulated with finite element code ABAQUS/Explicit. The theoretical predictions of mechanical responses are in good agreement with the results of mesoscopic finite element simulation. During the impact process, the peak values of strain and velocity decrease gradually. The peak strain, the oscillation amplitude of waveform and the width of waveform front are related to the in-plane Poisson's ratio and the radius of gyration of the cylindrical shell chain. The larger the in-plane Poisson's ratio and the radius of gyration of the cylindrical shell chain, the smaller the peak strain, the stronger the oscillation of the strain waveform and the wider the width of the waveform front.
- cylindrical shell chain,
- stress wave,
- transverse inertia correction,
- analytical solution,
- geometric dispersion

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References(26)

References

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