A study on vibration displacements of beam members under air blast loading based on the bilinear resistance model

GENG Shaobo; CHEN Jialong; ZHAO Zhou; NIU Yanwei

doi:10.11883/bzycj-2021-0524

Volume 42 Issue 10

Oct. 2022

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GENG Shaobo, CHEN Jialong, ZHAO Zhou, NIU Yanwei. A study on vibration displacements of beam members under air blast loading based on the bilinear resistance model[J]. Explosion And Shock Waves, 2022, 42(10): 105102. doi: 10.11883/bzycj-2021-0524

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GENG Shaobo, CHEN Jialong, ZHAO Zhou, NIU Yanwei. A study on vibration displacements of beam members under air blast loading based on the bilinear resistance model[J]. Explosion And Shock Waves, 2022, 42(10): 105102. doi: 10.11883/bzycj-2021-0524

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A study on vibration displacements of beam members under air blast loading based on the bilinear resistance model

doi: 10.11883/bzycj-2021-0524

GENG Shaobo^{1, 2
,},
CHEN Jialong¹,
ZHAO Zhou¹,
NIU Yanwei^{2
,
,}

1.
Department of Civil Engineering, School of Science, North University of China, Taiyuan 030051, Shanxi, China
2.
Research Center of Highway Large Structure Engineering on Safety, Ministry of Education, Chang’an University, Xi’an 710064, Shaanxi, China

Received Date: 2021-12-21
Rev Recd Date: 2022-07-08

Available Online: 2022-08-10

Publish Date: 2022-10-31

Abstract

Abstract

In order to study the influence of bilinear resistance model on the vibration displacement of beam members under air blast loading, both the theoretical elast-plastic displacement solutions of the flexible and rigid members in forward and rebound stages were deduced, respectively. According to the relationship between blast duration and elastic duration from static position to maximum elastic displacement for members, the vibration situations could be divided into elastic forced vibration, elastic free vibration, plastic forced vibration, plastic free vibration, elastic rebound and plastic rebound. The equivalent single degree of freedom method was used to establish the vibration equations of each stage and the theoretical solutions of each stage were derived for different initial conditions. The method of the general solution plus the special solution was applied to solve each differential equation. Based on the theoretical solutions and the representative plastic strengthening coefficient, the elastoplastic vibration displacements of two types of beam members under different plastic strengthening degrees in the bilinear resistance model were verified under typical calculation cases. The corresponding complete vibration curves were finished for comparative analysis. The influence of the degree of plastic strengthening on the vibration representative value was analyzed. The results show that the displacement theoretical solution based on the bilinear resistance model has a wider range of application. With the increase of plastic strengthening coefficient of the bilinear resistance model, the maximum elastic-plastic displacement and residual deformation of the two types of beam members decrease gradually, and the reduction degree of residual deformation is higher than that of the maximum elastic-plastic displacement. When the plastic strengthening coefficient increases to a certain extent, the plastic vibration displacement will appear in the rebound stage of the beam members, further reducing the residual deformation. Compared with the bilinear resistance model, the elastic-perfectly plastic resistance overestimates the residual deformation of beam members under air blast loading.
- bilinear resistance model,
- air blast loading,
- elastic-plastic displacement,
- residual deformation

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References(23)

References

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