Chapter 2 _2_

# Chapter 2 _2_ - Vehicle Dynamics Braking Principle Critical...

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Vehicle Dynamics: Braking Principle Critical in the determination of stopping sight distance, roadway surface design, and accident avoidance systems

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ECI 161 Winter 12 2 Outline h Principles of Braking s Braking Forces and Distribution s Antilock Braking Systems h Braking distances s Safe braking distance
ECI 161 Winter 12 3 Time-space diagram ) ( ) ( ) ( 3 3 2 2 t j dt da dt x d t a dt dv dt x d t v dt dx = = = = =

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ECI 161 Winter 12 4 = = = t t o t d j t a d a t v d v t x 0 0 ) ( ) ( ) ( ) ( ) ( ) ( τ Integral form
ECI 161 Winter 12 5 Special Cases: fixed location x o

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ECI 161 Winter 12 6 Special Cases: constant speed time x(t) v o
ECI 161 Winter 12 7 Special Cases: constant acceleration time x(t) Acceleration Deceleration

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ECI 161 Winter 12 8 Stopping Time 0 ) ( , ) 0 ( = = stop o t v v v
ECI 161 Winter 12 9 Stopping Distance Recall: 2 0 2 1 ) ( t a t v x t x o o + + = 0 x x x stop t stop - = 0 0 a v t stop = o o o o o o a v a v a a v v 2 2 1 2 2 0 0 = - =

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ECI 161 Winter 12 10 Braking Principles θ g
ECI 161 Winter 12 11 L W R ma h Wl W g a f r ) sin ( θ ± - - = L W R ma h Wl W g a r f ) sin ( ± - + = .

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Chapter 2 _2_ - Vehicle Dynamics Braking Principle Critical...

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