Simplified calculation method for dynamic response of K8 single-layer reticulated shell under blast load

PDF(2754 KB)

Journal of Vibration and Shock ›› 2018, Vol. 37 ›› Issue (5) : 213-220.

SU Qianqian 1,2 ZHAI Ximei 1

Author information +

History +

Abstract

According to Hamilton’s principle, a theoretical analysis model suitable for a simply supported beam and a K8 single-layer reticulated shell was proposed based on Lagrange’s equations. Firstly, the model was applied to calculate dynamic responses of a simply supported beam under tri-angular blast loads. Results showed that its vibration law, peak displacement, velocity, kinetic energy and internal energy are very close to those of FE analysis. Then, the theoretical analysis model was extended to calculate dynamic responses of K8 single-layer reticulated shell under triangular blast load. Influence laws of the number of generalized displacement parameters in deformation functions of the shell’s rods and peak load on response results were analyzed. Finally, based on analyzing the error between results of the theoretical analysis model and those of LS-DYNA FE analysis, the theoretical analysis model was improved. The applicability of this theoretical analysis model for calculating dynamic response of reticulated shells under blast load was proved.

Key words

Lagrange’s equation / blast / dynamic response / simply supported beam / single-layer reticulated shell

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations

SU Qianqian 1,2 ZHAI Ximei 1. Simplified calculation method for dynamic response of K8 single-layer reticulated shell under blast load[J]. Journal of Vibration and Shock, 2018, 37(5): 213-220

References

[1] 马加路，支旭东，范峰等. 外爆荷载下Kiewitt8型单层球面网壳的动力响应[J]. 振动与冲击, 2015,34(21):65-70.
MA Jia-lu, ZHI Xu-dong, FAN Feng, et al. Dynamic responses of Kiewitt 8 single-layer reticulated domes subjected to outside explosion loads[J]. Journal of Vibration and Shock, 2015,34(21):65-70.
[2] ZHAI Xi-mei, WANG Yong-hui, HUANG Ming. Performance and protection approach of single-layer reticulated dome subjected to blast loading[J]. Thin-Walled Structures, 2013,73:57-67.
[3] 翟希梅，黄明. 偏心爆炸荷载下网壳结构的动力响应分析[J]. 振动与冲击. 2014,33(04):178-184.
ZHAI Xi-mei, HUANG Ming. Dynamic response of a reticulated shell under eccentric blast loading[J]. Journal of Vibration and Shock, 2014,33(04): 178-184.
[4] 高轩能，李超，江媛. 单层球面钢网壳结构在内爆炸作用下的动力响应[J]. 天津大学学报（自然科学与工程技术版）. 2015, 48(增刊):102-109.
GAO Xuan-neng, LI Chao, JIANG Yuan. Dynamic responses of single-layer spherical steel reticulated shell under internal explosions[J]. Journal of Tianjin University (Science and Technology). 2015,48 (Suppl):102-109.
[5] 田力，李灵聚. 双层柱面网壳结构在地下隧道内爆炸冲击下的动力响应分析[J]. 振动工程学报. 2011, 24(05):482-490.
TIAN Li, LI Ling-ju. Dynamic response analysis of the cylindrical reticulated shell structure due to an underground in-tunnel explosion[J]. Journal of Vibration Engineering. 2011, 24(05):482-490.
[6] SCHLEYER G.K. and HSU S.S. A modelling scheme for predicting the response of elastic-plastic structures to pulse pressure loading[J]. International Journal of Impact Engineering. 2000(24):759-777.
[7] DONALDSON B.K. Introduction to structural dynamics[M]. Cambridge University Press. 2012: 46-70.