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本文将线性样条有限条理论推广到大挠度弹塑性范围,建立了样条有限条非线性分析方法,成功地分析了纵向加筋板结构局部与整体稳定相关作用对其极限承载能力的影响.采用弧长法和Newton-Raphson迭代求解非线性刚度方程,可获得包括峰值点在内的一条完整的荷载—挠度曲线.分析中考虑了加筋板结构的初曲和残余应力的影响,使得计算结果更具实用价值.
In this paper, the finite strip theory of linear spline is extended to the large-deflection elastic-plastic range. A finite strip nonlinear analysis method is established. The influence of local and global stability on the ultimate load-carrying capacity of longitudinally stiffened slab structure is analyzed successfully. Using the arc length method and Newton-Raphson iteration to solve the nonlinear stiffness equation, a complete load-deflection curve including the peak point can be obtained. The initial curvature of the stiffened plate structure and the influence of the residual stress are taken into account in the analysis, making the calculation The result is more practical value.