Dynamic Stability and Fuzzy Reliability Analysis of Toppling Perilous Rock Under Seismic Excitation

IF 4.1 2区 地球科学 Q1 GEOSCIENCES, MULTIDISCIPLINARY
Linfeng Wang, Jixu Zhang, Wanchun Xia, Xiaoming Huang, Guojin Tan
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引用次数: 0

Abstract

To predict the occurrence of the collapse disaster in toppling perilous rock under the action of bidirectional earthquakes, the dynamic stability and fuzzy reliability calculation method of toppling perilous rock under the action of bidirectional earthquakes is proposed. First, the mass viscoelasticity model is used to simulate two main control surfaces of toppling perilous rock, the seismic dynamic response model and motion equation of toppling perilous rock are established based on the D’Alembert principle, and the Newmark-β method is used to solve the dynamic motion equation. Then, the instability event of toppling perilous rock is considered a fuzzy event, the membership function expression of the stability coefficient of toppling perilous rock is determined based on the fuzzy failure criterion, the calculation equations of the toppling perilous rock dynamic stability coefficient and fuzzy reliability are established, and the fuzzy reliability evaluation method based on the probability distribution of reliability is proposed. Finally, the influence of different superposition modes of seismic excitation on the fuzzy reliability of toppling perilous rock is analyzed. The calculation results of toppling perilous rock in the engineering case show that the fuzzy reliability calculated after considering the fuzzy failure criterion is reduced by 10.73% to 25.66% compared with the classical reliability. Considering the bidirectional seismic excitation, the fuzzy reliability of toppling perilous rock is reduced by 5.46% to 14.89%. Compared with using the acceleration peak time encounter mode to superpose the seismic excitation, the fuzzy reliability of toppling perilous rock is reduced by 3.4% when the maximum action effect time encounter mode is adopted.

地震激励下倾覆危岩的动态稳定性和模糊可靠性分析
为预测双向地震作用下倾覆危岩崩塌灾害的发生,提出了双向地震作用下倾覆危岩的动力稳定性和模糊可靠度计算方法。首先,利用质量粘弹性模型模拟了倾覆危岩的两个主要控制面,基于达朗贝尔原理建立了倾覆危岩的地震动力响应模型和运动方程,并采用 Newmark-β 方法求解了动力运动方程。然后,将倾覆危岩失稳事件视为模糊事件,基于模糊失效准则确定了倾覆危岩稳定系数的成员函数表达式,建立了倾覆危岩动态稳定系数和模糊可靠度的计算方程,并提出了基于可靠度概率分布的模糊可靠度评价方法。最后,分析了不同地震激励叠加模式对倾覆危岩模糊可靠度的影响。工程实例中倾覆危岩的计算结果表明,考虑模糊失效准则后计算出的模糊可靠度比经典可靠度降低了 10.73% 至 25.66%。考虑到双向地震激励,危岩倾覆的模糊可靠度降低了 5.46% 至 14.89%。与采用加速度峰值时间遭遇模式叠加地震激励相比,采用最大作用效应时间遭遇模式时,危岩倾覆的模糊可靠度降低了 3.4%。
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来源期刊
Journal of Earth Science
Journal of Earth Science 地学-地球科学综合
CiteScore
5.50
自引率
12.10%
发文量
128
审稿时长
4.5 months
期刊介绍: Journal of Earth Science (previously known as Journal of China University of Geosciences), issued bimonthly through China University of Geosciences, covers all branches of geology and related technology in the exploration and utilization of earth resources. Founded in 1990 as the Journal of China University of Geosciences, this publication is expanding its breadth of coverage to an international scope. Coverage includes such topics as geology, petrology, mineralogy, ore deposit geology, tectonics, paleontology, stratigraphy, sedimentology, geochemistry, geophysics and environmental sciences. Articles published in recent issues include Tectonics in the Northwestern West Philippine Basin; Creep Damage Characteristics of Soft Rock under Disturbance Loads; Simplicial Indicator Kriging; Tephra Discovered in High Resolution Peat Sediment and Its Indication to Climatic Event. The journal offers discussion of new theories, methods and discoveries; reports on recent achievements in the geosciences; and timely reviews of selected subjects.
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