CAJ | 학술논문

针对复杂边坡特点,提出改进的滑动面搜索变量选取方式,通过左、右出滑点和弧高控制滑动面位置,搜索变量取值范围不再需要经验假定.使用分区间搜索策略,以寻找最危险滑动面和潜在危险滑动面,同时也将搜索区域分割,增大算法搜索到全局最优值的可能性.利用混沌优化算法和复合形法联合搜索算法确定复杂边坡的最小安全系数和滑动面,充分利用混沌搜索和复合形法各自的优点,有效地避免陷入局部最小值,并克服混沌优化耗时较长的不足.通过对复杂边坡实例的计算,结果证明,采用改进搜索变量的基本复合形法寻优成功率比传统搜索变量高出40%～60%.联合搜索法的最小安全系数集中于1.70～1.72,全局搜索能力远远优于基本复合形法.多级边坡工程算例的分析表明,该边坡的4条潜在滑动面,其安全系数与最小安全系数相差不超过7.6%,最小仅相差3.6%,但相应的滑动面位置与最危险滑动面完全不同.
침대복잡변파특점,제출개진적활동면수색변량선취방식,통과좌、우출활점화호고공제활동면위치,수색변량취치범위불재수요경험가정.사용분구간수색책략,이심조최위험활동면화잠재위험활동면,동시야장수색구역분할,증대산법수색도전국최우치적가능성.이용혼돈우화산법화복합형법연합수색산법학정복잡변파적최소안전계수화활동면,충분이용혼돈수색화복합형법각자적우점,유효지피면함입국부최소치,병극복혼돈우화모시교장적불족.통과대복잡변파실례적계산,결과증명,채용개진수색변량적기본복합형법심우성공솔비전통수색변량고출40%～60%.연합수색법적최소안전계수집중우1.70～1.72,전국수색능력원원우우기본복합형법.다급변파공정산례적분석표명,해변파적4조잠재활동면,기안전계수여최소안전계수상차불초과7.6%,최소부상차3.6%,단상응적활동면위치여최위험활동면완전불동.
In view of the characteristic of complex slope,an improved method of selecting search variable is presented. The positions of two exiting points and arc height of the slip surface are taken as search variables,and assumptions aren(t required. Divided-interval search has been introduced so as to locate the most dangerous slip surfaces and the next critical slip surfaces,of which the obvious advantage is employed to divide the search region,increasing the possibility of finding the global optimum. Chaos optimization method and improved complex method are combined to search the minimum safety factor and critical slip surface. Mixed search algorithm combines the merits of two algorithms,which can effectively avoid local minimum,and overcome time-consuming disadvantage of chaos optimization method. Mixed search algorithm is applied to searching the minimum safety factor of a complex slope;and the result shows that the rate of successful computation of basic complex method with improved search variable is 40%-60% higher than that with the current search variable. The minimum safety factor obtained by mixed search algorithm is ranging from 1.70 to 1.72. So mixed search algorithm is much more likely to find the global optimum of complex slope. And analyses of multi-step slope engineering example show that there are four next critical slip surfaces with small differences in safety factor;the relative difference is 7.6% in maximum,and 3.6% in minimum,but large differences in the location of critical slip surface.