超级单元法在斜拉桥自振特性分析中的应用

VIBRATION CHARACTERISTICS ANALYSIS OF CABLE-STAYED BRIDGES BY THE SUPER-ELEMENT METHOD

  • 摘要: 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。

     

    Abstract: The super-element method is used to significantly reduce computation time required for vibration characteristics analysis of long-span cable-stayed bridges, while maintaining an acceptable level of accuracy. In this method, each individual structural component is represented by a sub-domain in the super-element, and the deformation of sub-domains is improved by the introduction of incompatible modes. The evaluation of the stiffness matrix and the mass matrix is performed by introducing the second isoparametric mapping for each sub-domain, which allows the presence of different materials and members in a sole element. Free vibration analysis of Wenhui cable-stayed bridge in Hangzhou is conducted to illustrate the application of the new method. Accurate results with fewer degrees of freedom than those of comparable numerical algorithms are achieved.

     

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