CAJ | 학술논문

为处理地铁侵限问题，采用实际掘进中线坐标估计优化线路参数，以地铁实际掘进中线为基础，整体上对线路参数进行优化，以满足设计约束及侵限要求，可最大限度地提升对复杂侵限情况处理的能力。阐述了调整设计中线以控制边侧侵限的原理，给出了地铁调线优化模型，包括目标函数及约束条件。采用正交最小二乘法，按侵限阈值进行线形拟合分段，形成直线和圆曲线分段线元集合，并提出优化算法对直线、圆曲线分段线元进行优化组合，形成初始优化线路，再对初始优化线路的分段点进行迭代优化，获得与实测中心线贴合度最佳且满足规范和侵限要求的地铁设计中线。最后，对该算法的正确性和有效性进行了实例验证。研究结果表明：该优化算法不仅可以进行地铁优化调线，而且可以有效估计既有线路参数。
위처리지철침한문제，채용실제굴진중선좌표고계우화선로삼수，이지철실제굴진중선위기출，정체상대선로삼수진행우화，이만족설계약속급침한요구，가최대한도지제승대복잡침한정황처리적능력。천술료조정설계중선이공제변측침한적원리，급출료지철조선우화모형，포괄목표함수급약속조건。채용정교최소이승법，안침한역치진행선형의합분단，형성직선화원곡선분단선원집합，병제출우화산법대직선、원곡선분단선원진행우화조합，형성초시우화선로，재대초시우화선로적분단점진행질대우화，획득여실측중심선첩합도최가차만족규범화침한요구적지철설계중선。최후，대해산법적정학성화유효성진행료실례험증。연구결과표명：해우화산법불부가이진행지철우화조선，이차가이유효고계기유선로삼수。
Alignment parameters were estimated and optimized to deal with the subway beyond-limit problem based on the coordinates of tunnelling centerline. Based on the coordinate of metro centerline, the capability of dealing with complicated beyond-limit situations can be enhanced greatly by estimating and optimizing the alignment parameters to satisfy the design constraints. The theory of realigning the design centerline to control the borders beyond-limit was expounded,and a realignment optimization model including objective function and constraints was put forward. Alignment fitting segments composed of line and circular curve were made on the basis of beyond-limit threshold using the orthogonal least squares. Furthermore,an optimization algorithm was put forward to combine these segments appropriately to produce an initial alignment. By optimizing the fitting segment points iteratively,an optimized alignment fitting the tunnel trajectory best and satisfying the design specifications and invasion threshold requirements was obtained. Finally,examples were given to prove the effectiveness of the algorithm. The research results indicate that the algorithm can not only optimize the metro horizontal realignment,but also effectively estimate the existing line parameters.