基于地形边界子结构的起伏场地地震动输入方法

    Seismic wave input method for irregular topographic sites based on topographic-boundary substructure

    • 摘要: 天然场址地表通常为不规则起伏,其地基侧立面因地形高差呈现阶梯状几何轮廓,导致自由场难以直接计算,只能基于近似场地波动特征进行地震动输入。为了提升在土-结构相互作用分析中场地起伏效应的模拟精度,将场地模型截断边界处的等效波场分解为规则场地的自由场与非规则地形产生的散射场,并提取地表单元构建地形边界子结构以求解散射等效力。进而将散射场与自由场运动叠加并映射至三维近场边界节点,由此计算考虑地形效应的等效地震力,为全域波动模拟提供了可靠的地震动输入。与基准解对比,通过均质或分层半空间场地非规则起伏地形下的波动传播数值算例验证了本方法在二、三维复杂波场问题中的精度和适用性。在此基础上将方法应用于起伏场地下的核电结构抗震分析,结果表明:传统的场地平坦简化会显著低估结构的地震响应;在大范围起伏地形条件下,地震动输入方法的近似对结构动力响应会产生明显影响。提出的计算方法丰富了结构-起伏场地全域波动模拟的技术手段。

       

      Abstract: The surface of natural sites is typically irregularly undulating, and the truncated side boundaries of the foundation present a stepped geometric profile due to elevation differences, rendering the direct calculation of the free-field wave motion difficult. Therefore, the seismic input can only be constructed based on approximate site wavefield characteristics. To enhance the accuracy of simulating topographic effects in soil-structure interaction analysis, this study decomposes the equivalent wave field at the truncated site boundary into a regular-site free field and an irregular-topography scattered field. Boundary elements along the ground surface are extracted to construct a topographic boundary substructure for calculating the equivalent scattering forces. Following this, the scattered and free-field motions are superimposed and mapped to the boundary nodes of the three-dimensional near field. Consequently, equivalent seismic forces incorporating topographic effects are obtained, offering robust seismic inputs for full-domain wave propagation simulations. By comparison with benchmark solutions, the accuracy and applicability of the proposed method in complex two- and three-dimensional wavefield problems are verified via wave propagation simulations involving irregular topographies over homogeneous or layered half-spaces. Furthermore, the method is applied to seismic analysis of nuclear structures in undulating sites. It is demonstrated that structural seismic responses are substantially underestimated by flat-site simplifications. Under large-scale topographic irregularities, the approximations inherent in seismic input methods significantly impact the structural dynamic responses. The proposed method expands the available computational approaches for full-domain wave propagation simulation of structure–undulating site systems.

       

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