Rocking Response of Free-Standing Rigid Blocks on Slopes
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Published:2020-08
Issue:09
Volume:20
Page:2050111
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ISSN:0219-4554
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Container-title:International Journal of Structural Stability and Dynamics
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language:en
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Short-container-title:Int. J. Str. Stab. Dyn.
Author:
Lv Yang1,
Sun Xiaohui1,
Ling Jing1,
Chouw Nawawi2
Affiliation:
1. Tianjin Key Laboratory of Civil Structure Protection and Reinforcement, Tianjin Chengjian University, Tianjin 300384, P. R. China
2. Department of civil and environmental engineering, The University of Auckland, Auckland 1142, New Zealand
Abstract
Structure, equipment, statue or storage cask may experience free-standing rocking on slopes because of the nonuniform settlement of the base, construction error or foundation failure. The free-standing rigid block on a slope subjected to one-sine pulse excitation and earthquake motions is examined in this paper. First, considering the free-standing rigid block on a slope, the overturning acceleration spectrum under one-sine pulse is built. The spectrum covers two overturning modes, i.e. overturning with one impact either before or after the excitation and overturning without impact. Then the influences of the slope on the overturning acceleration spectrum are discussed in depth. The analytical solution is compared with the numerical solution based on both linear and nonlinear formulations. It reveals that the safe region of the minimum overturning acceleration spectrum between mode 1 and mode 2 depends on the angle of the slope. Further, the block on a slope is subjected to the Tianjin, Kobe and Northbridge earthquake motions. By simplifying the main pulse of the motions to one-sine pulse, although the overturning acceleration spectrum fails to predict the overturning acceleration of the block subjected to real earthquake motions, it can provide some guidelines to predict the practical performance of the rocking structures.
Funder
National Key Research and Development Program of China
National Natural Science Foundation of China
Tianjin Basic Research Program
Fundamental Research Funds for the Central Universities
Open Project Fund of the Key Laboratory of Coast Civil Structural Safety of Ministry of Education of Tianjin University
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Building and Construction,Civil and Structural Engineering
Cited by
1 articles.
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