May 2019 May 2019 | Page 6

may 2019 feature article downhill braking. In addition, there are no wide- ly accepted standards for golf cart path design, and inadequate recommendations provided by car manufacturers for maximum path slope and minimum turning radii are ambiguous with warn- ings that refer to “steep grades” and “sharp turns” without quantifying these terms. This separation between golf cart design standards, which only require dynamic braking tests on flat ground, and sloped car path design, which lack any specificity, causes golf carts to be routinely driven on poten- tially dangerous terrain that is not addressed by the ANSI golf car standard. In addition, while the ANSI standard requires that a golf car’s maximum speed not exceed 15 mph on level ground, that speed can easily be exceeded when traveling downhill. To evaluate the potential hazards of creating golf carts equipped with brakes on only the rear axle wheels, Technology Associates has analyzed the braking of a two-axle vehicle, equipped with brakes on either or both of its axle wheels. In ad- dition, dynamic two-dimensional simulations of a braking golf cart traveling downhill have been created to study vehicle dynamic stability (and resulting rollover propensity). For this compari- son, we introduce the term “braking efficiency”, defined as the actual vehicle braking decelera- tion, divided by the braking deceleration of the same vehicle with brakes on all four wheels (i.e. the maximum possible braking deceleration for a given slope and coefficient of friction). Thus, by definition, the case with braking on all four wheels yields an efficiency of 100%. For either case where only the front or rear wheels are braked hard, braking efficiency de- creases rapidly as the downhill slope increases, such that at path down slopes over 20 degrees, the brakes are no longer able to prevent the golf cart from accelerating downhill. For slopes of 10- 15 degrees, with which golf carts must currently contend, placing brakes on only the rear axle 6 WWW.GOLFCAROPTIONS.COM wheels provides only 25-37% of the braking that could be achieved with brakes on all four wheels. Therefore, equipping a car with brakes on only the rear wheels reduces the available braking effi- ciency significantly when compared to a vehicle with brakes on all four wheels. Dynamic simulations indicate that golf cart yaw instability (and subsequent rollover) is not like- ly on flat ground at speeds under 15 mph and therefore will not manifest itself during ANSI brake performance testing. However, for a vehi- cle with brakes on the rear wheels only, when the initial speed is 17 mph or higher, yaw instability can occur when traveling down a 10-degree slope when modest steering inputs are made. Such loss of control could easily cause the car to leave the path and either collide with or tip over, nearby obstacles and path curbs. However, when the front axle wheels, or all four wheels, are braked hard enough to lock them, there is no significant deviation from straight path travel. Therefore, if the cars were equipped with front brakes (either by themselves only, or in combination with rear brakes) this yaw instability problem would be significantly reduced if not en- tirely eliminated, and the risk of rollovers would be greatly reduced. Articles Cited Note: This article summarizes research from several of Technology Associates’ peer reviewed journal articles cited below • Seluga, K., Baker, L., & Ojalvo, I., “A Parametric Study of Golf Car and Personal Transport Vehicle Braking Stabili- ty,” J Accident Analysis & Prevention 2009; 41:4:839-848. • Seluga, K., & Ojalvo, I., “Braking Hazards of Golf Cars and Low Speed Vehicles,” J Accident Analysis & Prevention 2006; 38:6:1151-1156.