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中文核心期刊

空间框架结构几何非线性分析方法的改进研究

IMPROVEMENTS OF GEOMETRICALLY NONLINEAR ANALYSIS ALGORITHMS FOR SPATIAL FRAME STRUCTURES

  • 摘要: 以几何精确梁理论为基础,分别采用高阶拉格朗日插值和埃米特插值构造高精度空间梁单元。提出基于单元层次平衡迭代的自由度凝聚方法,以保证单元的通用性。实现了基于载荷控制或柱面弧长控制的结构几何非线性分析算法。算例研究结果表明,提出的改进方法不但提高了计算效率,而且还具有较高的数值稳定性;特别是基于三次埃米特插值构造的单元表现出较好的性态,适用于结构屈曲后分析。

     

    Abstract: Two spatial beam elements based on the geometrically exact beam theory are developed using high order Lagrange interpolation and Hermite interpolation. An element-level equilibrium iteration procedure is proposed for condensing out internal degrees of freedom, enhancing the applicability of the elements to general-purposed finite element software. A geometrically nonlinear analysis algorithm with both load control and cylindrical arc-length control is developed for spatial frame structures. The presented results of numerical examples show that the proposed approach is effective both to increase the computational efficiency and to achieve better numerical stability. Especially, the proposed element based on the Hermite cubic interpolation performs better in the numerical tests and is therefore well suited for the post-buckling analysis of frame structures.

     

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