eng Science and Education Publishing American Journal of Mechanical Engineering 2328-4110 2024-09-13 12 3 26 34 10.12691/ajme-12-3-1 AJME20241231 article Fenghui Shi shi@akashi.ac.jp 1 Department of Mechanical Engineering, National Institute of Technology, Akashi College, Japan 679-3 Nishioka, Uozumi-cho, Akashi, Hyogo, 674-8501 Japan In this study, mathematical models for conventional speed control humps, including circular, sinusoidal, and modified sinusoidal humps with lengths of 4m, 6.5m, and 9.5m, have been established. Additionally, mathematical models for circular, sinusoidal, normal distribution, trapezoidal, and flat-top sign humps applicable to any length and height are proposed. Simulations and comparisons have been conducted using five types of vehicles to evaluate the speed control humps and the maximum accelerations experienced by vehicles as they pass over them. The results demonstrate that the mathematical models for both conventional speed control humps and the proposed formulations¡ªcircular, sinusoidal, normal distribution, trapezoidal, and flat-top sign profiles¡ªare effective for designing speed control humps of any length and height. https://pubs.sciepub.com/ajme/12/3/1/ajme-12-3-1.pdf speed control hump conventional sinusoidal normal distribution trapezoidal flat top sign circular round-top hump