An analytical assessment of the critical speed formula.

Author(s)
Brach, R.M.
Year
Abstract

The Critical Speed Formula (CSF) is used in the field of accident reconstruction for the estimation of the speed of a vehicle that has been given a sudden unidirectional steer manoeuvre by the driver and when the tires develop a high enough sideslip to leave curved visible marks on the pavement. This and other uses of the formula are investigated in this paper. Reconstructions are done using computerized dynamic simulations of a turn manoeuvre for 3 different, driver forward control modes: braking, coasting and accelerating. The experimental results of T. Shelton (Accident Reconstruction Journal, 1995), are analyzed statistically, and are compared to the results of the simulations. Results show that the CSF can give reasonably accurate results but that the accuracy varies with several factors. One is where along the trajectory measurements are made to estimate the tire mark curvature. Another factor is the forward control mode; the accuracy is the highest when the vehicle accelerates through the turn and is the lowest for braking. The experimental data is also used to determine the statistical uncertainty of speed estimation. (A)

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Publication

Library number
C 10626 (In: C 10613 [electronic version only]) /80 / IRRD 899771
Source

In: Accident reconstruction : technology and animation VII : papers presented at the International Congress & Exposition, Detroit, Michigan, February 24-27, 1997, SAE technical paper 970957, p. 241-250, 6 ref.

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