CAJ | 학술논문

基于极限分析上限法和强度折减技术，根据边坡极限平衡状态下内外能耗相等原理，推导多级台阶式边坡安全系数极限上限表达式。编制序列二次规划法程序，通过搜索边坡最危险滑动面及其对应最小安全系数，探讨土体参数对多级边坡滑动面形态和位置的影响。研究结果表明：多级边坡滑动面形态和位置分布受无量纲参数ηcφ＝c／（γhtanφ）控制。当ηcφ为定值时，黏聚力 c 或内摩擦角φ任一值改变对滑动面位置均无影响，滑动面位置保持不变；当ηcφ增大时，边坡失稳模式由浅层破坏转变为深层破坏，滑动面由近坡面向边坡内部移动。同时，参数 tanφ／Fs 的值随着ηcφ增大而逐渐减小。ηcφ较小时，上陡下缓坡体外形不规则的边坡有可能发生局部失稳，且随着无量纲参数ηcφ的增大，边坡滑动面形态有从局部破坏逐渐变化为整体破坏的趋势。本文研究有助于工程实践中判断多级边坡潜在滑动面位置，快速确定多级边坡安全系数，对高大边坡工程实际的设计施工与防护具有实用价值。
기우겁한분석상한법화강도절감기술，근거변파겁한평형상태하내외능모상등원리，추도다급태계식변파안전계수겁한상한표체식。편제서렬이차규화법정서，통과수색변파최위험활동면급기대응최소안전계수，탐토토체삼수대다급변파활동면형태화위치적영향。연구결과표명：다급변파활동면형태화위치분포수무량강삼수ηcφ＝c／（γhtanφ）공제。당ηcφ위정치시，점취력 c 혹내마찰각φ임일치개변대활동면위치균무영향，활동면위치보지불변；당ηcφ증대시，변파실은모식유천층파배전변위심층파배，활동면유근파면향변파내부이동。동시，삼수 tanφ／Fs 적치수착ηcφ증대이축점감소。ηcφ교소시，상두하완파체외형불규칙적변파유가능발생국부실은，차수착무량강삼수ηcφ적증대，변파활동면형태유종국부파배축점변화위정체파배적추세。본문연구유조우공정실천중판단다급변파잠재활동면위치，쾌속학정다급변파안전계수，대고대변파공정실제적설계시공여방호구유실용개치。
According to the condition of equating the power of external force to internal dissipation along the ve-locity discontinuities in limit state,the formula of safety factor of multi -stage slope for limit analysis upper bound method can be deduced with the theory of limit analysis upper bound method and the strength reduction technical.The influence of strength parameters on sliding surface of multi -stage slope is discussed by searching for the location of the most dangerous sliding surface and the minimum safety factor through sequential quadratic programming.From the analysis results,the pattern and the location of failure surface is determined by the di-mensionless parameter ηcφ=c/(γhtanφ).If ηcφremains constant,the location of the critical slip surface is not affected by the cohesion c or internal friction angle φ.With the increase of ηcφ,the failure mode changes from shallow slip to deep slip and the sliding surface moves from the surface near slope to the side slope internal.The value of tanφ/Fs decreases gradually when the ηcφis increasing.The slope which upper gradient is greater than the lower ones is tend to collapse with minor ηcφ.Besides,overall instability is also tend to occur with the in-crease of ηcφ.It turns out to be helpful to judge the location of potential sliding surface and the safety factor of multi -stage slope,which is valuable in the design and construction of high slope engineering.