Characteristics of frequency response for linear viscoelastic spherical divergent stress waves

Lu Qiang; Wang Zhanjiang; Ding Yang; Liu Xiaoxin; Guo Zhiyun; Wu Yujiao

doi:10.11883/1001-1455(2017)06-1023-08

Volume 37 Issue 6

Sep. 2017

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Lu Qiang, Wang Zhanjiang, Ding Yang, Liu Xiaoxin, Guo Zhiyun, Wu Yujiao. Characteristics of frequency response for linear viscoelastic spherical divergent stress waves[J]. Explosion And Shock Waves, 2017, 37(6): 1023-1030. doi: 10.11883/1001-1455(2017)06-1023-08

Citation:

Lu Qiang, Wang Zhanjiang, Ding Yang, Liu Xiaoxin, Guo Zhiyun, Wu Yujiao. Characteristics of frequency response for linear viscoelastic spherical divergent stress waves[J]. Explosion And Shock Waves, 2017, 37(6): 1023-1030. doi: 10.11883/1001-1455(2017)06-1023-08

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Characteristics of frequency response for linear viscoelastic spherical divergent stress waves

doi: 10.11883/1001-1455(2017)06-1023-08

1.
Northwest Institute of Nuclear Technology, Xi'an 710024, Shaanxi, China
2.
State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace, Xi'an Jiaotong University, Xi'an 710049, Shaanxi, China

Received Date: 2016-04-21
Rev Recd Date: 2017-01-07
Publish Date: 2017-11-25

Abstract

Abstract

In this study the transfer functions of the mechanical quantities (i.e. the particle velocity, the particle displacement, the stress and the strain, etc.) at different propagation distances were analytically presented based on the solutions of the linear viscoelastic spherical stress wave in the Laplace domain, The propagating characteristics of the frequency response function for the particle velocity were examined with the standard linear solid model taken as an example. The results reveal that the high-frequency response of the frequency response function for the particle velocity in viscoelastic medium is less than that of the low-frequency response with the increase of the propagation distance; in an ideal elastic medium, however, it is always greater than that of the low-frequency response. With the cavity explosion with the elastic radius of 0.025 m taken as an example, the evolution of the wave form of the particle velocity was calculated using the numerical method of the inverse Laplace transform. The results reveal that the attenuation curve of the peak value for the particle velocity in viscoelastic medium falls in between the attenuation curve of the the peak value for the particle velocity in an ideal elastic medium and the attenuation curve of the amplitude of the strong discontinuity for the particle velocity in viscoelastic medium.
- spherical stress waves,
- frequency response,
- Laplace inversion transform

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References

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