覆水效应的地下相干函数与相变 V 形峡谷多点地震动模拟及其特征规律
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TU311.3

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国家自然科学基金资助项目(51978461)


An underground coherence function considering water-covered effect and the simulation of multi-supports seismic motions of media-transition V-shaped canyon and its characteristics
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    摘要:

    引入覆水效应和相变特征地下相干函数模型并导出其显式表达式,探讨归纳了该模型相干性的变化规律,并从物理本质上予以解释。依据场地散射频域理论解,得到目标场地的传递函数,联立本文提出的地下相干函数,构造出半覆水相变 V 形峡谷场地的地下功率谱矩阵,生成地下多点地震动时程,通过功率谱和相干函数拟合,验证了模拟结果的可靠性与合理性,分别对比分析了本文提出的相干函数与覆水深度对地震动的影响。以一座连续刚构桥为例,重点分析了地下相干函数与峡谷覆水深度对结构内力的影响。结果表明:引入覆水效应后,多点地震动间相干性表现增强,覆水区地震动减小,其原因在于对应 P 波的部分能量被传递至水中;地震动和地震响应大小与覆水深度呈负相关,距覆水区越远,受到覆水深度的影响越小。

    Abstract:

    An underground coherence function considering water-covered effect and suitable for simulating the seismic motions of media-transition V-shaped canyon is derived in this paper. The variation law and physical meaning are further investigated and summarized in detail. The underground PSD matrix is constructed by combining the derived coherence function, the transfer function and the obtained theoretical solution of scattering in media-transition V-shaped canyon with partly filled water. Subsequently, the multi-support underground seismic motions are generated by decomposing the underground PSD matrix, and the reliability and rationality is further verified. The effects of the proposed coherence function and the depth of water on the seismic motions and the responses of a continuous rigid frame bridge are compared and analyzed. Results show that: The coherence due to water effect is obviously enhanced. Moreover, the amplitude of seismic motions in the water-covered areas is reduced because the part of energy from P waves is transferred to the water. The amplitudes of ground motions and structural seismic responses correlate negatively with the depth of overlying water. In other words, the effect of water decreases with the increasing distance from water areas. The work in this paper is valuable for the simulation of multi-support seismic motions and dynamic analysis of those long-span structures located at the media-transition V-shaped canyon with partly filled water.

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柳国环,陈欣宇,费琦翔.覆水效应的地下相干函数与相变 V 形峡谷多点地震动模拟及其特征规律[J].振动工程学报,2023,36(5):1437~1446.[LIU Guo-huan, CHEN Xin-yu, FEI Qi-xiang. An underground coherence function considering water-covered effect and the simulation of multi-supports seismic motions of media-transition V-shaped canyon and its characteristics[J]. Journal of Vibration Engineering,2023,36(5):1437~1446.]

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  • 在线发布日期: 2023-11-23
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