Study on transformation method of artificial boundaries of the static-dynamic analysis in underground structure
Gao Feng; Zhao Feng-bing
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School of Civil Engineering and Architecture, Chongqing Jiaotong University, Chongqing 400074, China
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History+
Received
Revised
Published
2010-02-08
2010-08-12
2011-11-25
Issue Date
2011-11-25
Abstract
For the problem of the static-dynamic analysis in underground structure considering both static and dynamic effect, the transformation of artificial boundaries from the static analysis to the dynamic analysis had great effect on the dynamic calculation result. Through the analysis of boundaries transformation principles in transformation methods, it was indicated that, while making the dynamic analysis with the initial condition of the stress fields gotten in the static analysis, putting on the loads and the boundary condition that induced the stress fields at the time of inputting the static stress fields could make the modal in a state of static equilibrium at time zero of the dynamic analysis; and applying the constraint reaction forces at the time of deleting the constraint boundaries had the same effect. A method of applying no dynamic load in the dynamic analysis was given to check the error of the artificial boundaries transformation methods in the static-dynamic analysis. The calculation results indicated that, when the unified viscous-spring boundary for static and dynamic analysis and its corresponding calculating methods were applied in static-dynamic analysis of the underground structure, this boundary resulted in big error in the static calculation of some underground cases. On the base, a more rational transformation method of artificial boundaries for the static-dynamic analysis of underground structure was recommended. In the method, the static constraint would be deleted firstly in the transformation of artificial boundaries; and all the loads, the static fields and the constraint reaction would be brought in the modal while applying the dynamic artificial boundaries before the dynamic analysis. The accuracy of the method was checked through the analysis of the calculation results of a engineering case.
Gao Feng;Zhao Feng-bing.
Study on transformation method of artificial boundaries of the static-dynamic analysis in underground structure [J]. Journal of Vibration and Shock, 2011, 30(11): 165-170
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