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

100%

Gosławski Ł. , Sys E. , Mrowicki A. , Krukowski M. , Ma Y. , Kubiak P.

Archiwum Motoryzacji

2022

tom 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.

Nonlinear method of vehicle velocity determination based on inverse system and tensor product of Legendre polynomials - intermediate class

84%

Goslawski L. , Gralewski J. , Krukowski M. , Kubiak P. , Manko M. , Mrowicki A. , De Sousa R. A. , Sys E.

2019

tom Vol. 83, nr 1

133--149

Presented paper discusses two different nonlinear approaches to precrash velocity determination for vehicles from Intermediate Car Class. Data that was used to perform analyses introduced in this paper was taken from National Highway Traffic Safety Administration (NHTSA) database. Such database is comprised of substantial number of crash cases and main focus was put on frontal impacts. Hitherto used energy methods are based on linear model which proves to be inaccurate and producing significant errors. Presented considerations concern the inverse system and tensor product of Legendre polynomials. The focus of those methods is to establish the value of nonlinear coefficient bk which is the slope factor of precrash velocity Vt and deformation ratio Cs function.

Nonlinear method of determining the vehicle pre-crash speed based on B-spline with propabilistic weights - subcompact car class

84%

Kubiak P. , Sys E. , Goslawski L. , Manko M. , Gralewski J. , Krukowski M. , De Sousa R. A. , Mrowicki A. , Soghabatyan T. , Zou T.

2019

tom Vol. 85, nr 3

5--18

A new non-linear method utilizing the work W of car deformation is considered in this study. The car deformation is defined as an algebraic function of deformation ratio Cs. The method of variable correlation is exploited in order to develop experimental data. To determinate mathematical model parameters, data from the NHTSA database including frontal crash tests are used. Such database is comprised of substantial number of crash cases and main focus was put on frontal impacts. In the non-linear method used so far, the so-called energetic approach, collisions are considered non-elastic. The speed threshold defining the elastic collision was set to be 11 km/h. This simplistic approach is used to determine the linear relation of energy loss during deformation on deformation coefficient Cs. Deformation points C1-C6 are taken into account while calculating a mean value that defines this coefficient. A more accurate non-linear method as well as more complex form of deformation coefficient is suggested to determine the work of deformation in this paper. The focus of those methods is to establish the value of nonlinear coefficient b_k which is the slope factor of precrash velocity Vt and deformation ratio Cs function.