基于瑞利-里兹法的预应力张弦梁变形与内力分析

Deformation and internal force analysis of prestressed beam string structure based on Rayleigh-Ritz method

预应力张弦梁在大跨度结构中得到了越来越广泛的应用,而我国尚未制订关于该结构的设计规范.针对工程中常见的圆弧线型预应力张弦梁,采用瑞利-里兹法分别推导了结构在荷载态与张拉状态下的变形与内力的计算公式,并通过三榀预应力张弦梁模型的张拉与加载试验对本文公式进行了验证.结果表明,本文公式得出的解析解与试验结果以及基于ANSYS的有限元计算值均吻合较好.

Prestressed beam structures are widely applied in large-span structures, while the design codes of which have not been established in China. Based on Rayleigh-Ritz Method, the deformation and inner force calculation formulas for commonly used circular arc shaped beam string structure under loading and stretching phases are conducted. Three beam string structure model tests of stretching and loading are carried out in order to verify the formulas proposed. Studies show that the analytical solutions obtained by the formulas are in good agreement with the test results and finite element analysis results based on FEM software ANSYS.