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拉索拱结构是大变形组合结构。本文应用有限元方法,结合拉索拱结构的特征,提出了空间梁索单元相结合的混合有限元模式。在Timoshenko梁假定的基础上,考虑了拱结构的轴向、剪切、弯曲和扭转效应,导出了拱大位移、大转动问题的UL列式。索单元采用三节点二次曲线元。算例表明,用本文方法编制的NAPA程序,具有分析大跨空间结构几何非线性能力,是进一步研究拉索拱结构的有效工具。
The cable arch structure is a large deformation combined structure. In this paper, using the finite element method, combined with the characteristics of cable arch structure, a hybrid finite element model combining space beam elements is proposed. Based on the assumption of Timoshenko beam, the axial, shear, bending and torsion effects of the arch structure are considered, and the UL formulae of the large displacement and large rotation problem of the arch are derived. The cable element uses a three-node quadratic element. The example shows that the NAPA program developed by this method has the ability to analyze the geometric nonlinearity of large-span spatial structures and is an effective tool for further study of cable arch structures.