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当前拱坝趋向于采用变厚度、非圆形(如抛物线、对数螺旋线)的水平剖面,以改善坝体稳定和应力。本文提出这类拱坝的应力分析方法。用弹性中心法给出了变厚度拱单元和梁单元刚度矩阵和加载矩阵的显式、并给出了扭曲梁单元的分析方法。在保留试载法基本假定的前提下,用有限元方法的概念组织计算。利用本文公式编制的ADAS程序,可以计算变厚度的多心圆、抛物线、双曲线、椭圆、对数螺旋线、单曲、双曲的各种形式的拱坝,而且内存少、精度高、速度快。
Current arch dams tend to use horizontal sections of variable thickness, non-circular (eg, parabolic, logarithmic) lines to improve dam stability and stress. This article proposes a stress analysis method for this arch dam. The elastic center method is used to give the explicit expressions of the stiffness matrix and the load matrix of variable thickness arch elements and beam elements, and the analysis method of twisted beam element is given. Under the premise of retaining the basic assumptions of the trial loading method, the concept of finite element method is used to organize calculations. Using the ADAS program compiled by this formula, various arch dams with variable thickness, such as multi-circle, parabola, hyperbola, ellipse, logarithmic spiral, single and hyperbolic, can be calculated, with less memory, high precision and speed. fast.