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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。
In order to effectively simulate the coupling transient response of dam reservoir under earthquake excitation, a coupling formula of infinite fraction and finite element method is established. Based on the finite element formula of dam and the coupling between dams and dams, an iterative algorithm for dam transient coupling analysis was developed. This algorithm is used to analyze the transient response of gravity dam under horizontal seismic excitation. The calculation efficiency of dam coupling problem based on continuous fraction method, dynamic stiffness matrix method and dynamic mass matrix method is compared. Numerical examples show that the coupling algorithm simulates the correctness and high efficiency of the dam transient response. The method inherits the advantages of high precision and less discrete elements of proportional boundary finite element method, avoids its integral of convolution and enhances its computational efficiency, and provides an efficient analysis method for dam-coupled transient response.