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采用无质量地基模型时动力平衡方程的缩减 被引量:10

Reduction of Dynamic Equations of Dam Foundation Interaction Based on Massless Foundation
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摘要 在求解坝与地基动力相互作用时 ,为了消除地基材料对地震运动的放大作用常常忽略地基质量。但在求解动力平衡方程时为了消除质量矩阵的病态 ,地基质量被赋以很小的值代表无质量地基。为了从动力平衡方程中消除零质量矩阵 ,用矩阵理论对其进行分块简化 ,从而大大缩减了方程的自由度和复杂度 ,并导出了地基对上部结构的耦合作用刚度矩阵 ,使地基刚度在相互作用方程式中显示化。结果表明 。 In the analysis of earthquake response of dam foundation interaction, a massless foundation model was used in which a very small value of foundation rock mass was used to solve the dynamic equations in order to avoid the singularity of mass array. A new way was built to ignore the sub array with zero mass of the mass array and the effect matrix of foundation stiffness on upper structures was formulated . The new method was demonstrated by an arch dam foundation interaction system with massless foundation. The result shows that the dynamic responses of arch dam by new method are equal to those by traditional way, but the number of equations is very small.
出处 《四川大学学报(工程科学版)》 EI CAS CSCD 2000年第4期7-10,共4页 Journal of Sichuan University (Engineering Science Edition)
关键词 无质量地基 耦合刚度 矩阵理论 拱坝 dam-foundation iteraction massless foundation interaction stiffness matrix theory
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参考文献7

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