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基于独立于单元的共旋列式(EICR),将一种几何线性的无剪切锁死的Timoshenko梁单元扩展用于空间梁结构的几何非线性分析.考虑到三维分析中发生大转动时转动顺序的不可交换性,也即转动自由度不能作为向量采用加法规则更新,采用了四元变量来存储和更新转动自由度,使得共旋列式适用于位移任意大和转动任意大但应变很小的几何非线性分析.同时改进了Riks弧长法使之适用于带有大转动的三维几何非线性分析.给出了几个数值算例,结果表明论文方法具有较高的计算精度和效率.
A geometrically linear shear-locked Timoshenko beam element is extended for geometrical non-linear analysis of the spatial beam structure based on the independent-element co-rotation (EICR). Considering the rotation in the case of large rotation in 3D analysis The order of non-exchangeability, that is, the degree of freedom of rotation can not be updated as a vector using addition rules, using a quadtree variable to store and update the degree of freedom of rotation, so that the co-rotation is applicable to arbitrary large displacement and rotation of any large but small strain Geometric nonlinear analysis, improved the Riks arc length method to make it suitable for three-dimensional geometric nonlinear analysis with large rotation, and given several numerical examples, the results show that the paper method has a higher accuracy and efficiency.