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 引用本文: 刘晶波, 谭辉, 宝鑫, 王东洋, 李述涛. 土-结构动力相互作用分析中基于人工边界子结构的地震波动输入方法[J]. 力学学报, 2018, 50(1): 32-43.
Liu Jingbo, Tan Hui, Bao Xin, Wang Dongyang, Li Shutao. The seismic wave input method for soil-structure dynamic interaction analysis based on the substructure of artificial boundaries[J]. Chinese Journal of Theoretical and Applied Mechanics, 2018, 50(1): 32-43.
 Citation: Liu Jingbo, Tan Hui, Bao Xin, Wang Dongyang, Li Shutao. The seismic wave input method for soil-structure dynamic interaction analysis based on the substructure of artificial boundaries[J]. Chinese Journal of Theoretical and Applied Mechanics, 2018, 50(1): 32-43.

## The seismic wave input method for soil-structure dynamic interaction analysis based on the substructure of artificial boundaries

• 摘要: 数值模拟是解决土-结构动力相互作用问题的重要手段,而合理地实现地震波动输入直接影响地震作用下土-结构动力相互作用问题数值模拟的精度。波动法是目前常用的地震动输入方法之一,该方法将输入地震动转化为人工边界上的等效荷载,相较于其他地震动输入方法,波动法模拟精度高,但实施上相对复杂。从有限元模型入手,推导了采用波动法确定等效输入地震荷载的另一种形式,以此为基础,提出了一种在人工边界上实现地震动输入的新方法。新方法通过对土-结构有限元模型中由包含人工边界节点的单元组成的子结构施加自由场位移时程并进行动力分析,直接获得可实现地震波动有效输入的等效荷载,然后将等效输入地震荷载施加在土-结构模型的人工边界节点上,从而完成土-结构动力相互作用问题分析中地震动输入和地震反应计算。与原有波动法相比,新方法避免了需分别计算人工边界上自由场应力和由引入人工边界条件带来的附加力,以及需要根据不同人工边界面确定荷载的作用方向等较为复杂的处理过程,具有等效地震荷载计算简便、地震动输入过程更易于实施的特点。采用竖直入射和斜入射地震波动作用下的弹性半空间和成层半空间地震反应算例验证了新方法的有效性。

Abstract: ：Numerical simulation is an important approach to conduct soil-structure dynamic interaction analysis, while the realization of the seismic wave input determines the accuracy of the simulation. Wave method is one of the most commonly used methods for seismic wave input, which converts the input wave into the equivalent loads on the artificial boundaries. Comparing with other methods, the wave method has high precision, but the implementation is relatively complicated. Based on another form of equivalent input seismic loads in the finite element model, a new seismic wave input method was proposed. In the new method, by imposing the free-field displacements on the nodes of the substructure composed of the elements containing the artificial boundary nodes, the equivalent input seismic loads are obtained through dynamic analysis of the substructure. Afterwards, the equivalent input seismic loads are applied to the nodes of the artificial boundaries to complete the seismic wave input and the seismic analysis of the soil-structure dynamic interaction model are performed. In comparison with the original wave method, the new method avoids the complex processes of calculating the free field stress on the artificial boundaries and the additional forces caused by the artificial boundaries, and determining the directions of the loads on different artificial boundaries. Therefore, it is simple to calculate the equivalent input seismic loads and easy to implement the seismic wave input process in the new method. The validity of the new method is verified by the numerical examples of the seismic analysis of the elastic half-space and layered half-space under vertical and oblique incident seismic waves.

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