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为提高大跨度斜拉桥自振特性分析的计算精度和求解效率,提出采用超级单元的三维分析方法。该方法用超级单元的子域准确描述结构几何特征,并采用非协调位移模式改善单元子域变形。利用二次等参变换计算超级单元的刚度矩阵和质量矩阵,允许单元域内含有不同的材料或构件。采用超级单元法对杭州文晖斜拉桥的自振特性做了分析。结果表明,该方法可在大规模缩减系统自由度的同时获得满意的计算精度。
In order to improve the calculation precision and solving efficiency of the analysis of natural vibration characteristics of long-span cable-stayed bridges, a three-dimensional analysis method using super cell is proposed. In this method, the sub-domains of super-cells are used to accurately describe the geometric features of the structure, and the non-coordinated displacement modes are used to improve the deformation of sub-domains. The second order isoparametric transformation is used to calculate the stiffness matrix and the mass matrix of the superunit, allowing the unit domain to contain different materials or components. The super element method is used to analyze the natural vibration characteristics of Hangzhou Wenhui cable-stayed bridge. The results show that this method can reduce the degree of freedom of the system while obtaining satisfactory accuracy.