地下结构静-动力分析中的人工边界转换方法研究

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振动与冲击 ›› 2011, Vol. 30 ›› Issue (11) : 165-170.

论文

地下结构静-动力分析中的人工边界转换方法研究

高峰; 赵冯兵

作者信息 +

Study on transformation method of artificial boundaries of the static-dynamic analysis in underground structure

Gao Feng; Zhao Feng-bing

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文章历史 +

摘要

对同时考虑静力效应和动力效应的地下结构静-动力分析问题，静力分析与动力分析的人工边界转换对动力分析结果有较大的影响。通过对人工边界转换方法边界转换原理的分析，表明以静力分析结果中的应力场为初始条件进行动力分析时，在输入静应力场的同时输入引起此应力场的荷载和边界条件，以及去掉边界约束条件的同时施加以相应的约束反力，均可保证模型在动力计算初始时刻为静力平衡状态。提出了一种在动力分析中施加零动力荷载的方法来检验静、动力人工边界转换的误差。算例表明采用粘弹性静-动力统一人工边界及其相应计算方法时，该边界在某些地下结构静力计算中存在较大误差。通过分析，推荐了较为合理的地下结构静-动力分析人工边界转换方法。该方法在人工边界转换时先去掉静力分析的约束，并在施加动力人工边界进入动力分析前将静力分析的荷载、静力场和约束反力一并输入模型。通过算例分析，验证了该方法的合理性。

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.

导出引用

高峰;赵冯兵. 地下结构静-动力分析中的人工边界转换方法研究[J]. 振动与冲击, 2011, 30(11): 165-170

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