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Module 6: Train-Track Dynamics. Module Objectives. Understanding the Rail/Wheel Interface Identifying Force Generators Understanding Force Effects. Train-Track Dynamics. Definition Interaction of forces occurring as train moves over the track structure Lateral Forces Vertical Forces
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Module Objectives • Understanding the Rail/Wheel Interface • Identifying Force Generators • Understanding Force Effects
Train-Track Dynamics Definition • Interaction of forces occurring as train moves over the track structure • Lateral Forces • Vertical Forces • Vehicle Dynamics • Rail & Wheel Profile • Many factors affect these forces • Train Speed & Handling • Train Consist & Placement of Cars, etc.
L/V Ratio • L/V Definition • Effect on Stability • Lateral Forces • Vertical Forces • Wheel/Rail Profile
Lateral Forces • Flanging Force • Centrifugal Force • Frictional Curving Force • Coupler Force • Buff & Draft Force • Truck Hunting • Track Geometry Force
Frictional Curving Force • Difference in Distance Outside Vs. Inside Wheel Rolls in Curve • Effect of Conical Wheel Tread • Generation of Creep Forces • Cause Truck to Steer to Curve Outside • Magnitude of Forces Vs. Wide Gage, Corrugations & Geometry Problems • Importance of Lubrication
Coupler Forces • Position of Coupler Faces in Curves • Long Car Coupled to Short Car • Longitudinal Force Effect • Angularity of Couplers • Torque Applied at Wheel-Rail Interface
Buff & Draft Forces Longitudinal Train Forces Result of Changes in Gradient, Curvature & Speed • Buff - Run-in = Train in Compression - Produces Outward Force on Curve, Increases Vertical Load on Outside • Draft - Run-Out = Train in Tension Produces Inward Force on Curve, Increases Vertical Load on Inside • Train in Simultaneous Buff & Draft -Torque Produced - Force Applied at Coupler Resisted at the Rail Slack 6"/Car 50' Slack/6000' Train
Hunting v s • Caused by: • Empty or lightly loaded cars (though heavy cars can also hunt). • Train speeds above 45 mph. • Dry rail. • Three piece freight car truck. • Roller side bearings. • Tangent track or curvature of 1 degree. • Roller bearing wheelsets. • Worn wheel treads having a hollow appearance over good quality track. • Poor vertical snubbing.
Track Geometry Forces • Lateral Force Result of Changes in Alignment & Gage • Wide Gage > Truck Hunting at High Speeds • Tight Gage > Truck Hunting at Low Speeds • Vertical Force Result of Changes in Cross-level/Superelevation & Profile • Vehicle Rocks About CG • Produces Horizontal Component at Rail because of Shift in CG
Vertical Forces • Vehicle Weight • Unbalanced Elevation in Curves • Car/Locomotive Dynamics • Track Geometry Input • Coupler Forces
Effects of Centrifugal Force OVERBALANCE EQUILIBRIUM UNDERBALANCE Centrifugal Force Centrifugal Force Centrifugal Force Centerof Gravity Centerof Gravity Centerof Gravity Resultant Resultant Resultant Gravity Gravity Gravity Superelevation Superelevation Superelevation + E 3 Amount of = a V Underbalance max 0 . 0007 D V = Maximum allowable operating speed (mph). max E = Average elevation of the outside rail (inches). a = Degree of curvature (degrees). D
Car & Locomotive Dynamics Bounce Increase & Decrease Vertical Loading Speeds > 40 MPH Change in Track Modulus Pitch Varying Vertical Load Transfers End to End Square Joints Wheel Climb & Short Flange Marks Bounce & Pitch Result of Surface Variations
Track Geometry Deviations in Geometry Accentuate Pitch & Bounce • Deviation in Uniform Profile • Mismatched, Bent or Battered Joints • Worn Points/Battered Frogs & Crossing Diamonds • Poor Cross-level • Rock & Roll • Spirals • Warp Forces Suspension Diagonally to Limits • Bind Side Bearings - Trucks Can't Turn
Harmonic Oscillation Rock & Roll • High Center of Gravity Cars & Low Joints at Truck Spacing • Rocking Magnifies Alternate Rocking on Other Rail • Wheel Lift on Successive Joints • Especially Dangerous on Curves • Resonance Occurs at Critical Speed • Critical Speeds Occurs at Multiples of Frequency & Wavelength
Longitudinal Coupler Forces • Loaded car coupled to empty car (difference in compression of springs). • Differences in wheel wear, especially with multi-wear wheels. • Inequality of track surface, or sharp vertical curvature. • Vehicle bounce or pitch. • Effects of slack run-in or run-out.
Coupler Forces & Derailments • Time duration of coupler forces • Train consist and makeup • Train handling by crew • Terrain • Geometry of coupled cars
Rail-Wheel Profile New Wheel & Worn Rail New Wheel & New Rail Worn Wheel & New Rail Worn Wheel & Worn Rail
Critical L/V Ratio • L/V = 1.29 wheel may climb new rail. • L/V = .82 wheel lift impending. • L/V = .75 wheel may climb worn rail. • L/V = .64 rail overturn force starts (unrestrained rail may overturn: rail rollover).