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Nonlinear method of precrash vehicle velocity determination based on tensor product of Legendre polynomials - luxury class

Gosławski Łukasz, Sys Ewa, Mrowicki Adam, Krukowski Mateusz, Ma Yanlin, Kubiak Przemyslaw

Archiwum Motoryzacji

2022

Vol. 95, nr 1

53--64

Presented paper discusses a new, nonlinear approach to EES (Equivalent Energy Speed) parameter determination in frontal car collisions. This method is based on tensor product of Legendre polynomials and in this case considers Luxury car class. Methods that are used up till now are based on a linear dependency between mass, velocity and deformation. This is of course a simplification that was necessary, due to limitation in computation power of computers when this method was introduced decades ago. The contemporary resources allowed Authors to develop a much more sophisticated method. The mathematical model was developed using data shared by National Highway Traffic Safety Administration (NHTSA). This database covers a large number of test cases along with various information including vehicle mass, crash velocity, chassis deformation etc. New method proves to be more accurate than the currently used approach utilizing linear dependency of deformation force and deformation of the vehicle.