基于变分法的基本原理与边坡稳定性变分分析的基本方法,推导和建立了边坡稳定二维变分分析的计算公式,并编制了相应的计算程序;结合公路边坡工程稳定性分析的实践,研究变分法在公路边坡稳定性分析中的应用,并与极限平衡分析方法进行对比。研究结果表明:变分法与极限平衡分析方法的分析结果在安全系数数值上比较接近;潜在滑动面的形状为对数螺旋滑动面而非圆弧滑动面,且采用对数螺旋滑动面进行变分分析更符合公路边坡工程的实际。
Based on basic principle of variational method and basic method of slope stability variational analysis, the corresponding calculation program was made. Combined with practical engineering of highway slope stability analysis, the application of variational method in highway slope stability analysis which was compared with limit equilibrium method was studied. The study results show that safety coefficient value of slope variational analysis is close to that of limit equilibrium method, but the potential sliding surface is logarithmic spiral sliding surface rather than rotational sliding surface, and variational analysis of using logarithmic spiral sliding surface is suitable for practical engineering of highway slope stability.