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采用无质量地基模型和弹簧–阻尼边界模型研究了在不同频谱地震荷载、不同基岩与混凝土弹性模量比值条件下重力坝的地震反应。基于大量计算分析,提出等效结构阻尼的理念与近似方法,使无质量地基模型计算坝体反应与考虑辐射阻尼效应的结果相接近。结果表明:弹簧–阻尼边界对重力坝的影响与不考虑辐射阻尼的无质量地基相比,位移和应力反应减小,降幅范围为10%～65%;随着基岩与混凝土弹性模量比值的增加,降幅总体减小。采用等效结构阻尼无质量地基模型的重力坝反应与使用弹簧–阻尼边界以计入辐射阻尼效应的结果接近,位移误差在7%以内。
The seismic response of gravity dam under different spectral seismic loads and different ratios of bedrock to concrete elastic modulus was studied by massless foundation model and spring-damping boundary model. Based on a large number of calculation and analysis, the concepts and approximate methods of equivalent structural damping are proposed so that the results of mass dam response and considering the radiation damping effect are close to each other. The results show that the influence of the spring-damping boundary on the gravity dam is smaller than that of the non-mass foundation which does not consider the radiation damping. The range of displacement and stress decreases by 10% -65%. With the ratio of elastic modulus Increase, the overall decline in decline. Gravity dam response using equivalent structural damped mass-less foundation model approach the results using spring-damped boundary to account for radiation damping effect with displacement error within 7%.