Elastic-plastic Analysis on Dynamic Response of Arch Subjected to Explosive Impact

doi:10.3969/j.issn.1000-1093.2013.09.007

Abstract

Abstract:

The elastic-plastic dynamic response of arch structure subjected to explosive impact is analyzed with numerical simulation method. The dynamic buckling critical load is determined by B-R criterion. The results show that the process of the dynamic response is divided into the four typical stages: elastic vibration, elastic-plastic stable vibration, counter-intuitive dynamic response and crush failure. The counter-intuitive dynamic response is a mode of the unstable equilibrium after dynamic buckling. The results show that the longer the impact duration is, the smaller the dynamic buckling critical load is. When the impact duration changes in a range, the counter-intuitive response appears after buckling. When the impact duration is too long or too short, the counter-intuitive response will not appear. The sudden destruction occurs as soon as the buckling. The dynamic buckling critical load is equal to the dynamic failure load.

Key words: explosion mechanics, counter-intuitive dynamic response, explosive impact, arch structure, dynamic buckling

CLC Number:

O347

KANG Ting, XU Jin-yu, BAI Ying-sheng, LI Qing. Elastic-plastic Analysis on Dynamic Response of Arch Subjected to Explosive Impact[J]. Acta Armamentarii, 2013, 34(9): 1097-1102.

References

[1] Symonds P S, Yu T X. Counterintuitive behavior in a problem of elastic-plastic beam dynamics[J]. Journal of Applied Mechanics,1985, 52(3): 517 -522. [2] 李海旺,秦冬棋. 荷载作用方式及范围对简支圆板反直观行为的影响[J]. 爆炸与冲击,2005,25(1): 35 -40. LI Hai-wang, QIN Dong-qi. Study of the effect of loading modes and areas on anomalous response of elastic-plastic plates[J]. Explosion and Shock Waves, 2005, 25(1): 35 -40. (in Chinese) [3] 李海旺,秦冬棋. 在冲击弹体作用下梁的反直观行为研究[J]. 固体力学学报,2006,27(2):121 -126. LI Hai-wang, QIN Dong-qi. A study on the counter-intuitive behaviors of simply supported beam under projectile impact[J]. Acta Mechanic Solid Sinica, 2006, 27(2): 121 - 126. (in Chinese) [4] 李海旺,树学峰,秦冬棋. 球面薄壳在径向朝外脉冲荷载作用下的反直观动力响应研究[J]. 北京工业大学学报,2011,37(1):98 -103. LI Hai-wang, SHU Xue-feng, QIN Dong-qi. A study of counter-intuitive behaviors of pin-ended thin spherical shell subjected to rectangle impulse loadings[J]. Journal of Beijing University of Technology, 2011, 37(1): 98 -103. (in Chinese) [5 ] 吴桂英,秦冬棋,杨桂通. 冲击荷载作用下弹塑性板的反常动力响应研究[J]. 爆炸与冲击,2003,23(5):420 -424. WU Gui-ying, QIN Dong-qi, YANG Gui-tong. A study on anomalous response of elastic-plastic plates under impulsive loading [J]. Explosion and Shock Waves, 2003,23(5):420 -424. (in Chinese) [6] Yang G T, Wu G Y, Zhang N M. Counterintuitive dynamic behavior in elastic-plastic structures[J]. Key Engineering Materials,2007, 340: 269 -276. [7 ] 李海旺,树学峰,秦冬棋. 球面扁壳在径向脉冲荷载作用下的弹塑性动力响应研究[J]. 振动与冲击,2010, 29(9):58 -63. LI Hai-wang, SHU Xue-feng, QIN Dong-qi. A study of elasticplastic dynamic response of shallow shell subjected to rectangle impulse loadings[J]. Vibration and Shock, 2010, 29(9): 58 -63. (in Chinese) [8] 韩强,黄怀纬,樊学军. 弹性浅拱的非线性动力屈曲[J]. 华南理工大学学报:自然科学版, 2010,38(3):1 -7. HAN Qiang, HUANG Huai-wei, FAN Xue-jun. Nonlinear dynamic buckling of shallow elastic arch[J]. Journal of South China University: Natural Science Edition, 2010,38(3): 1 -7. (in Chinese) [9] Chen J S, Li Y T. Effects of elastic foundation on the snap-through buckling of a shallow arch under a moving point load[J].International Journal of Solids and Structures, 2006, 43 (14):4220 -4237. [10] Mallon N J, Fey R H B, Nijmeijer H, et al. Dynamic buckling of a shallow arch under shock loading considering the effects of the arch shape[J]. International Journal of Non-Linear Mechanics, 2006, 41(9): 1057 -1067. [11] Pi Y L, Bradford M A, Liang S. Energy approach for dynamic buckling of an undamped arch model under step loading with infinite duration[J]. International Journal of Structural Stability and Dynamics, 2010, 10(3): 411 -439. [12] 易壮鹏,赵跃宇,朱克兆,等. 几何缺陷浅拱的动力稳定性分析[J]. 计算力学学报,2008,25(6):932 -938. YI Zhuang-peng, ZHAO Yao-yu, Zhu Ke-zhao, et al. The dynamic stability analysis of shallow arches with geometrical imperfections [ J]. Chinese Journal of Computational Mechanics,2008, 25(6): 932 -938. (in Chinese) [13] 徐艳,胡世德. 钢管混凝土拱桥的动力稳定极限承载力研究[J]. 土木工程学报,2006,39(9):68 -73. XU Yan, HU Shi-de. A study on the dynamic ultimate capacity of CFST arch bridges [ J]. China Civil Engineering Journal,2006, 39(9):68 -73. (in Chinese)

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