Seismic analysis of eccentric single-rigid-body considering the influence of colliding-to-wall

JIA Chuanguo1,2,PAN Jiafu2,LI Jianguang2,MA Li2

Journal of Vibration and Shock ›› 2022, Vol. 41 ›› Issue (8) : 116-123.

PDF(2167 KB)
PDF(2167 KB)
Journal of Vibration and Shock ›› 2022, Vol. 41 ›› Issue (8) : 116-123.

Seismic analysis of eccentric single-rigid-body considering the influence of colliding-to-wall

  • JIA Chuanguo1,2,PAN Jiafu2,LI Jianguang2,MA Li2
Author information +
History +

Abstract

During an earthquake, rocking and overturning of high objects in buildings, such as cupboard, refrigerator etc., perhaps cause certain casualties and economic losses. Most of high objects are located near walls. However, the influence of colliding-to-wall is not considered in existing dynamic analysis of single-rigid-body. Colliding-to-wall would change motion pattern of single-rigid-body, which increase the overturning probability. Therefore, it’s particularly important to consider the influence of colliding-to-wall into simulating the dynamic response of single-rigid-body. With this in mind, this paper firstly adopted Lagrange's theorem to establish equations of motion. Then a dynamic analysis method of single-rigid-body is proposed based on Rosenbrock integration method. Subsequently, a multi-step-two-step method is developed to realize state transition before and after colliding to floor and wall. Finally, the reliability of the proposed dynamic analysis method is validated via comparing its results with those of shaking table tests.

Key words

single-rigid-block / rocking motion / Rosenbrock integration method / seismic response

Cite this article

Download Citations
JIA Chuanguo1,2,PAN Jiafu2,LI Jianguang2,MA Li2. Seismic analysis of eccentric single-rigid-body considering the influence of colliding-to-wall[J]. Journal of Vibration and Shock, 2022, 41(8): 116-123

References

[1] 罗珊,王武康,张恒旺.柜类家具防震设计中滑移运动数值模拟研究[J].林产工业,2016,43(12):26-30.
   Luo Shan,Wang Wukang,Zhang Hengwang. A Numberical Simulation Study on the Sliding Motion of Cabinet Furniture in Aseismatic Design[J]. China Forest Products Industry, 2016,43(12):26-30.
[2] 刘汉泉, 曲哲. 建筑内部物品滑移破坏易脆性分析中的楼面运动强度指标[J]. 世界地震工程, 2020, 36(02): 85-91.
Liu Hanquan, Qu Zhe. An intensity measure of floor motions for seismic fragility analysis of sliding contents in buildings [J], World Earthquake Engineering 2020, 36(02): 85-91.
[3] 赵子翔, 苏小卒.摇摆结构刚体模型研究综述[J]. 工程力学, 2019, 36(9): 12-24.
Zhao Zixiang, Su Xiaozu. Literature review of researches on rigid body model of rocking structure [J]. Engineering Mechanics, 2019, 36(9): 12-24.
[4]  Pompei A., Scalia A., Sumbatyan M. A. Dynamics of rigid block due to horizontal ground motion[J]. Journal of Engineering Mechanics, 1998, 124(7): 713-717.
[5] Boroschek Rubén, Romo David. Overturning criteria for non-anchored non-symmetric rigid bodies[C]. Proceeding of the 13th world conference on earthquake engineering, Vancouver, Canada. 2004.
[6] Contento Alessandro, Di Egidio Angelo. Investigations into benefits of base isolation for non-symmetric rigid blocks[J]. 2009, 38: 849-866.
[7] Wittich Christine E., Hutchinson Tara C. Shake table tests of stiff, unattached, asymmetric structures[J]. Earthquake Engineering & Structural Dynamics, 2015, 44(14): 2425-2443.
[8] 刘小娟, 蒋欢军. 非结构构件基于性能的抗震研究进展 [J]. 地震工程与工程振动, 2013, 33(06): 53-62.
Liu Xiaojuan, Jiang Huanjun. State-of-the-art of performance-based seismic research on nonstructural components[J]. Earthquake Engineering and Engineering Vibration, 2013, 33(06): 53-62.
[9] Housner George W. The behavior of inverted pendulum structures during earthquakes[J]. Bulletin of the Seismological Society of America, 1963, 53(2): 403-417.
[10] 李建广.近断层脉冲型地震动作用下刚体块结构摇摆动力响应数值模拟和试验研究[D].重庆:重庆大学,2019
[11] Kounadis A. N. . Parametric study in rocking instability of a rigid block under harmonic ground pulse: A unified approach [J]. Soil Dynamics and Earthquake Engineering, 2013, 45(1): 125-143.
[12] 董富祥, 洪嘉振. 多体系统动力学碰撞问题研究综述 [J]. 力学进展, 2009, 39(3): 352-359.
Dong Fuxiang, Hong Jiazhen. Review of impact problem for dynamics of multibody system [J]. Advances in Mechanics, 2009, 39(3): 352-359.
[13] 姚文莉, 岳嵘. 有争议的碰撞恢复系数研究进展 [J]. 振动与冲击, 2015, 34(19): 43-48.
Yao Wenli, Yue Rong. Advance in controversial restitution coefficient study for impact problems[J]. Journal of Vibration and Shock, 2015, 34(19): 43-48.
[14] 李逸良, 邱信明, 张雄. 恢复系数的不同定义及其适用性分析 [J]. 力学与实践, 2015, 37(06): 773-777.
Li Yiliang, Qiu Xinming, Zhang Xiong. Different definitions and corresponding applicabilities of the coefficient of restitution[J]. Mechanics in Engineering, 2015, 37(06): 773-777.
[15] Bursi O S, Jia C, Vulcan L, et al. Rosenbrock-based algorithms and subcycling strategies for real-time non-linear substructure testing[J]. Earthquake Engineering and Structural Dynamics, 2011, 40(1):1-19.
[16] Mathey Charlie, Feau Cyril, Clair David, et al. Experimental and numerical analyses of variability in the responses of imperfect slender free rigid blocks under random dynamic excitations[J]. Engineering Structures, 2018, 172: 891-906.
[17] Schau Henry, Johannes M. Rocking and sliding of unanchored bodies subjected to seismic load according to conventional and nuclear rules[C]//4th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering. Kos Island :CMSDEE,2014.
[18] Konstantinidis Dimitrios, Makris Nicos. Experimental and analytical studies on the response of 1/4-scale models of freestanding laboratory equipment subjected to strong earthquake shaking[J]. Bulletin of Earthquake Engineering, 2010, 8(6): 1457-1477.
PDF(2167 KB)

Accesses

Citation

Detail

Sections
Recommended

/