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本文采用数值积分法计算轴心受压杆件受力的全过程,包括荷载——位移曲线的上升段和下降段,并用三次样条函数拟合成符合实际情况的挠度曲线方程u=f(z)。然后根据所得结果计算压杆中轴力P与轴向位移Δ之间的关系。再用最小二乘曲线和曲面拟合方法,求出P=f(λ,Δ)方程,它与按数值积分法计算结果比较偏差都小于5%,根据P=f(λ,Δ)可计算压杆的折算刚度系数β,为钢管结构极限承载力的非线性分析提供了合理的力学模型和理论依据。
In this paper, the numerical integration method is used to calculate the whole process of the stress on the axial compression member, including the rising and falling segments of the load-displacement curve, and the cubic spline function is used to fit the deflection curve equation u=f (the actual situation). z). Then, based on the obtained results, the relationship between axial force P and axial displacement Δ in the compression rod is calculated. Then use the least squares curve and surface fitting method to find the P=f(λ, Δ) equation, which is less than 5% compared with the results calculated by the numerical integration method and can be calculated according to P=f(λ, Δ). The compression stiffness coefficient β of the compression rod provides a reasonable mechanical model and theoretical basis for the nonlinear analysis of the ultimate bearing capacity of the steel tube structure.