基于连分式与有限元法的坝库耦合瞬态分析方法

发布时间：2018-05-08 03:09

本文选题：有限元 + 连分式　；参考：《工程力学》2016年04期

【摘要】：为高效模拟地震激励下坝库耦合瞬态响应,建立了无限水库的连分式与有限元法的耦合公式。结合坝体有限元公式,利用坝库耦合项,发展了坝库耦合瞬态分析迭代算法。利用该算法分析了水平向地震激励下重力坝的瞬态响应。比较了基于连分式法、动态刚度矩阵法、动态质量矩阵法模拟坝库耦合问题的计算效率。数值算例表明该耦合算法模拟坝库耦合瞬态响应的正确性及高效性。该方法继承了比例边界有限元法的精度高、离散单元少等特点,又避免了其卷积积分,提升其计算效率,为坝库耦合瞬态响应提供了一种高效分析方法。
[Abstract]:In order to efficiently simulate the coupled transient response of dam and reservoir under seismic excitation, the coupling formula of continuous fraction and finite element method for infinite reservoir is established. Based on the finite element formula of dam body and the coupling term of dam and reservoir, an iterative algorithm for transient analysis of dam and reservoir coupling is developed. The transient response of gravity dam under horizontal earthquake excitation is analyzed by using this algorithm. The computational efficiency of coupling problem of dam and reservoir based on continuous fraction method, dynamic stiffness matrix method and dynamic mass matrix method is compared. Numerical examples show that the coupled algorithm is correct and efficient in simulating the coupled transient response of dam and reservoir. This method inherits the characteristics of high precision and few discrete elements of the proportional boundary finite element method, avoids its convolution integral and improves its computational efficiency. It provides an efficient analysis method for the coupled transient response of dam and reservoir.
【作者单位】：中国工程物理研究院总体工程研究所;
【基金】：国家自然科学基金项目(10902060,11272299) 中国博士后科学基金项目(201003123) 中国工程物理研究院科学技术发展基金项目(2011B0201036)
【分类号】：TV64;TV312

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