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有限条法与目前常用的有限元法相比,具有自由度少、节约机时和内存的优点。本文首次将该法与零模量法和分段积分法相结合,应用于空腹重力坝溢流坝段的模态分析;选择悬臂梁振型函数作为结线位移函数,导出了不等高条的有限条单元刚度、质量矩阵和相应的频率方程;解决了坝内大形孔洞及其上部闸墩结构的影响问题;通过实际算例,分析了空腹重力坝模态特性的特征及其变化规律;理论分析结果与激光全息实验结果基本符合。
Finite strip method compared with the current finite element method, with less freedom, saving machine time and memory advantages. The method for the first time combined with the zero modulus method and the piecewise integral method is applied to the modal analysis of the spillway dam of the fasting gravity dam. The vibration mode function of the cantilever beam is selected as the displacement function of the junction, The finite element stiffness, the mass matrix and the corresponding frequency equation; the problem of the large shaped hole in the dam and its upper sluice structure is solved; the characteristics and the changing rules of the modal characteristics of the fast-acting gravity dam are analyzed through practical examples; The results of theoretical analysis are in good agreement with those of laser holographic experiment.