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。
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.
出处
《工程力学》
EI
CSCD
北大核心
2009年第10期130-134,共5页
Engineering Mechanics
关键词
有限元
超级单元
非协调元
斜拉桥
动力特性
finite element
super-element
incompatible element
cable-stayed bridge
dynamic characteristics
