基于切比雪夫谱元模型的成层场地地震反应分析

发布时间：2018-06-20 07:10

本文选题：场地地震反应 + 时域分析方法　；参考：《岩土力学》2017年02期

【摘要】：将切比雪夫谱元模型应用于成层场地的一维波动分析,发展了一种具有高阶数值格式的场地地震反应时域分析方法。通过谱单元离散基岩和覆盖土体,建立各个单元的波动方程,并在基岩内设置透射人工边界,模拟底部无限域对内域波动的影响;利用切比雪夫正交多项式构造高阶单元位移模式,得到空间离散后的场地节点运动方程;利用中心差分原理,结合人工边界的数值格式,推导了一种稳定的时域积分数值方案。最后通过2个算例阐释了该方法在场地地震反应分析中的应用,并与传统方法进行了对比分析。数值试验表明,该方法具有高精度特性,在使用较少节点的条件下仍能得到较为可靠的计算结果,可显著地提高场地地震反应分析的计算效率。
[Abstract]:The Chebyshev spectral element model is applied to the one-dimensional wave analysis of layered sites, and a time-domain method for seismic response analysis with high-order numerical schemes is developed. The wave equation of each unit is established by means of spectral element discretization of bedrock and overlying soil, and transmission artificial boundary is set up in bedrock to simulate the influence of bottom infinite domain on internal wave. By means of Chebyshev orthogonal polynomial, the displacement model of higher-order element is constructed, and the motion equation of site nodes after space discretization is obtained, and a stable time-domain integral numerical scheme is derived by using the central difference principle and the numerical scheme of artificial boundary. Finally, two examples are given to illustrate the application of this method in site seismic response analysis, and compared with the traditional method. Numerical experiments show that the method has high accuracy and can obtain reliable results under the condition of using fewer nodes, which can significantly improve the computational efficiency of site seismic response analysis.
【作者单位】：南京工业大学土木工程学院;广东工业大学土木与交通学院;
【基金】：国家自然科学基金资助项目(No.51278245) supported by the National Natural Science Foundation of China(51278245)
【分类号】：TU435

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