土-结构相互作用影响下结构模态阻尼比计算方法

A METHOD FOR STRUCTURAL MODAL DAMPING RATIO CONSIDERING SOIL-STRUCTURE INTERACTION EFFECTS

  • 摘要: 对于土-结构相互作用简化模型,常采用频率无关的阻抗函数,由此导致结构模态阻尼比计算误差较大。对于二维土-结构相互作用模型,研究了上部单自由度结构的动力特性随土体剪切波速、土体密度、结构刚度、结构质量的变化规律。然后,以Luco所得的土体的刚度和阻尼系数为基础,通过对比复模态识别解和Luco解所得模态阻尼比,建立了考虑土-结构相互作用影响的等效单自由度体系模态阻尼比的修正函数。随后,对两自由度框架结构进行实时耦联振动台试验,以及一个5层框架结构进行地震反应分析计算,验证修正函数的精度和有效性。试验和计算结果表明,模态阻尼比修正函数可显著提高模态阻尼比的计算精度。

     

    Abstract: For simplified models of soil-structure interaction (SSI), frequency-independent impedance function is often adopted, which leads to relatively large calculation errors in the calculation of structural modal damping ratio. For two-dimensional SSI models, the influences of soil shear wave velocity, soil density, structural stiffness and structural mass on the dynamic characteristics of a single-degree-of-freedom superstructure are investigated. Based on the soil stiffness and damping coefficients derived by Luco, a correction function for the modal damping ratio of an equivalent single-degree-of-freedom system considering the effects of soil-structure interaction is established by comparing the modal damping ratios obtained from the complex modal identification solution and the Luco solution. The accuracy and effectiveness of the correction function are further verified through real-time coupled shaking table tests on a 2-story frame structure and seismic response analysis of a 5-story frame structure. The testing and numerical results show that the proposed modal damping ratio correction function can significantly improve the calculation accuracy of modal damping ratios.

     

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