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用基于极限平衡理论的圆弧滑面法分析土坡和土石坝稳定时,一般采用“条分法”计算.该法的数学理论基础是“有限差分”,其计算精度取决于分条宽度和条数.本文提出的四边形块元法,采用积分法导出计算公式.这种方法既可提高计算精度,又能加快计算速度.对沉抗土坝进行稳定分析的资料对比,论证了本方法的优越性.笔者还根据对复合土坡稳定系数函数性质和计算资料的分析,探讨了复合土坡最危险滑弧位置的规律.
When analyzing the stability of earth slopes and earth-rock dams by the circular sliding surface method based on the limit equilibrium theory, the “segment method” is generally used for calculation. The mathematical theory basis of this method is “finite difference”, and its calculation accuracy depends on the width of the strips and Number of pieces. The quadrilateral block element method proposed in this paper uses the integral method to derive the calculation formula. This method can not only improve the calculation accuracy but also accelerate the calculation speed. The data comparison of the stability analysis of the Shenhe Earth Dam demonstrates the method’s Advantageousness. Based on the analysis of the functional properties and calculation data of the stability coefficient of the composite slope, the author also discusses the rule of the most dangerous arc location for the composite slope.