Alignment Design and Parameter Influence Laws of Flexible-Bendable Normal-Conducting Maglev Turnouts
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摘要:
为解决现有弹性可弯式常导高速磁浮道岔线形设计存在的约束考量不足、速度等级覆盖单一、参数影响机制不明等问题,首先,明确线形设计的多维度约束条件,提出融合标准定子单元长度约束、车辆构造限制及衔接匹配要求的“缓和曲线-圆曲线-缓和曲线”线形设计方法;其次,建立不同长度道岔梁有限元分析模型,通过非线性回归拟合量化梁长与结构应力映射关系,确定道岔最小理论长度;然后,开展不同侧向通过速度的道岔线形设计,获取各速度等级线形参数;最后,分析侧向通过速度和加速度对线形参数的影响规律. 研究结果表明:梁体最大应力随长度增加非线性递减,90.00 m后长度对受力影响显著减弱,考虑1.3倍安全系数,确定弹性可弯式道岔最小理论长度为56.76 m;侧向通过速度不超过50 km/h或道岔型号小于7.500# 时,建议采用单圆型线形;“缓-圆-缓”线形尤其适用于70 km/h以上中高速场景;侧向通过速度不超过80 km/h时,以车辆构造半径约束为主导,呈现“短缓和、小半径、长圆曲、小号码”特征;速度超过100 km/h,以平衡离心力为核心,形成“长缓和、大半径、短圆曲、大号码”结构,圆曲线占比大幅下降,缓和曲线逐步成为主导段;侧向加速度增大时,缓和曲线长度递增,圆曲线半径、圆缓比及道岔全长递减,加速度超过1.000 m/s2后,线形参数变化逐渐趋于平缓.
Abstract:To address deficiencies of insufficient constraint consideration, single speed grade coverage, and unclear parameter influence mechanism in existing alignment design of flexible-bendable normal-conducting high-speed maglev turnouts, multi-dimensional constraint conditions for alignment design were clarified, and a “transition curve, circular curve, and transition curve” alignment design method integrating standard stator unit length constraints, vehicle construction constraints, and interface matching requirements was proposed. Finite element analysis models of turnout beams with different lengths were established. The mapping relationship between beam length and structural stress was quantified via nonlinear regression fitting, and the minimum theoretical turnout length was determined. Alignment designs for turnouts with different lateral passing speeds were performed to obtain alignment parameters for each speed grade. The influence laws of lateral passing speed and acceleration on alignment parameters were analyzed. Results show that maximum beam stress decreases nonlinearly with increasing length, and the length effect on stress weakens significantly beyond 90.00 m. With a safety factor of 1.3, the minimum theoretical length of the flexible-bendable turnout is 56.76 m. When lateral passing speed does not exceed 50 km/h, or the turnout number is less than 7.500#, a single circular alignment is recommended. The “transition, circular, and transition” alignment is particularly suitable for medium-to-high-speed scenarios above 70 km/h. When lateral passing speed does not exceed 80 km/h, vehicle construction radius constraint is dominant, exhibiting “short transition, small radius, long circular curve, and small turnout number” characteristics. When speed exceeds 100 km/h, centrifugal force balancing is the core requirement, forming a structure with “long transition, large radius, short circular curve, and large turnout number” characteristics, with circular curve proportion decreasing significantly and transition curve gradually becoming dominant. With increasing lateral acceleration, transition curve length increases, while circular curve radius, circular-transition ratio, and total turnout length decrease. When acceleration exceeds 1.000 m/s2, turnout alignment parameter changes tend to be gradual.
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表 1 不同侧向通过速度道岔线形参数
Table 1. Turnout alignment parameters at different lateral passing speeds
侧向过岔速度 v/(km·h−1) 侧向加速度 ay/(m·s−2) 侧向加速度时变率 ay1p,ay2p/(m·s−3) 缓和曲线长度
ls1,ls2/m圆曲线半
径 R/m圆曲线
长度 ly/m道岔转辙
角 τ/(°)道岔
型号道岔长
度 L/m10 0.019 0.034,0.054 1.564,0.980 405.148 51.600 7.477 7.619 55.728 20 0.082 0.292,0.467 1.564,0.980 374.943 49.536 7.764 7.334 53.664 30 0.193 1.027,1.639 1.564,0.980 360.279 48.504 7.916 7.192 52.632 40 0.350 1.498,1.932 2.596,2.012 352.811 46.440 7.916 7.192 52.632 50 0.548 1.633,1.867 4.660,4.076 352.108 43.344 7.764 7.335 53.664 60 0.777 1.669,1.804 7.756,7.172 357.732 39.216 7.477 7.620 55.728 80 1.353 1.878,1.949 16.012,15.428 364.937 27.864 6.843 8.333 60.888 100 1.975 1.932,1.972 28.396,27.812 390.753 12.384 5.937 9.617 70.176 120 1.919 1.906,1.940 33.556,32.972 578.988 16.512 4.926 11.603 84.624 160 1.977 1.957,1.983 44.908,44.324 999.066 20.640 3.742 15.288 111.456 200 1.973 1.949,1.969 56.260,55.676 1564.089 25.800 2.995 19.111 139.320 300 1.999 1.981,1.995 84.124,83.540 3472.660 38.184 2.013 28.449 207.432 400 1.993 1.977,1.988 111.988,111.404 6194.368 51.600 1.510 37.925 276.576 表 2 单圆形道岔与缓-圆-缓型道岔线形参数对比
Table 2. Comparison of alignment parameters between single circular turnout and transition, circular, and transition turnout
侧向过岔速度 v/(km·h−1) 道岔线形 侧向加速度 ay/(m·s−2) 侧向加速度时变率 ay1p, ay2p/(m·s−3) 缓和曲线长度 ls1、ls2/m 圆曲线半
径 R/m圆曲线长
度 ly/m道岔转辙角 τ/(°) 道岔
型号道岔长
度 L/m20 缓-圆-缓 0.082 0.292,0.467 1.564,0.980 374.943 49.536 7.764 7.334# 53.664 单圆形 0.085 364.124 51.600 8.119 7.010# 51.600 30 缓-圆-缓 0.193 1.027,1.639 1.564,0.980 360.279 48.504 7.916 7.192# 52.632 单圆形 0.191 364.123 51.600 8.119 7.010# 51.600 40 缓-圆-缓 0.350 1.498,1.932 2.596,2.012 352.811 46.440 7.916 7.192# 52.632 单圆形 0.339 364.124 51.600 8.119 7.010# 51.600 50 缓-圆-缓 0.548 1.633,1.867 4.660,4.076 352.108 43.344 7.764 7.335# 53.664 单圆形 0.530 364.123 51.600 8.119 7.010# 51.600 -
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