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该文根据常温下单索的基本平衡微分方程,建立了钢索在高温材性非线性衰减、非线性热应变以及几何形变耦合状态下的微分方程组;分别求解出受均布荷载和集中荷载作用的钢索,在均匀和非均匀温度场中其水平张力的非线性瞬时计算式,并提出了判断钢索高温极限承载力的力学计算方法;同时用解析计算方法验证了基于非线性有限元方法建立的单索热力耦合计算模型的精确性,为进一步研究索网结构的整体抗火性能奠定了理论基础。
According to the basic equilibrium differential equation of single cable at normal temperature, the paper established the differential equations of steel cables under the conditions of non-linear decay, nonlinear thermal strain and geometric deformation of steel cables. By solving the equations of differential equations with uniform load and concentrated load respectively, And the nonlinear instantaneous calculation formula of the horizontal tension in the uniform and inhomogeneous temperature field is put forward. The mechanical calculation method for determining the ultimate bearing capacity of the steel cable is put forward. Meanwhile, the analytical calculation method is used to verify the nonlinear finite element method The accuracy of the single-cable thermodynamic coupled calculation model established by the method has laid a theoretical foundation for further research on the overall fire resistance of cable network structure.