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铁道·轨道
12
engines
戴维斯列车运行阻力
Davis Train Running Resistance
R=A+Bv+Cv²=10.5N/t@100 · 轴承/翼缘/空气 · 高速v²主导
Railway Engineering · Davis equation
铁路坡道阻力
Rail Gradient Resistance
=W·sinθ≈W·坡度‰ · 10‰→98.1N/t · 限坡定牵引定数
Railway Engineering · grade resistance
铁路曲线阻力
Rail Curve Resistance
≈500/R N/t · R300→1.67 · 越急越大 · 折算等效坡度
Railway Engineering · curve resistance
粘着牵引力上限
Adhesion-Limited Tractive Effort
TE_max=μ·W黏·g=235kN · μ干0.3湿0.1 · 超限空转/撒砂
Railway Engineering · adhesion & traction
曲线超高与欠超高
Cant & Cant Deficiency
e=G·V²/(127R)=213mm · 欠超高限~130mm · 随V²升随R降
Railway Engineering · superelevation on curves
列车制动距离
Train Braking Distance
d=v²/(2a)=926m · +反应100m · 信号间距>停距 · 距∝v²
Railway Engineering · stopping distance
固定闭塞行车间隔与线路能力
Fixed-block Headway & Line Capacity
间隔=(制动+分区+车长+安全)/v+反应=102s · 运能3600/T=35tph
Railway Engineering · signalling headway
牵引力—速度特性
Tractive Effort vs Speed
低速黏着限平台 · 超基速72km/h功率限TE=P/v · 下包络
Railway Engineering · traction characteristic
无缝线路温度力与胀轨
CWR Thermal Force & Buckling
P=E·A·α·ΔT=776kN · 应力100.8MPa@40°C · 高温压胀轨/低温拉断轨
Railway Engineering · rail thermal force
轮轨蛇行运动
Wheel–Rail Hunting
Klingel L=2π√(r·b/λ)=16.5m · 锥形踏面自导向 · 临界速失稳
Railway Engineering · wheelset hunting
车辆限界与建筑限界净空
Loading Gauge & Structure Gauge Clearance
装载限界≤车体 · 建筑限界更大留余量 · 曲线偏移 · 超限特运
Railway Engineering · gauge clearance
轨道刚度与钢轨挠度
Track Stiffness & Rail Deflection
弹性地基梁 · 轨道模量k · y_max=P·β/(2k) · k大挠度小
Railway Engineering · beam on elastic foundation