Abstract
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.
Highlights
The method of tensor B-spline products with probabilistic weight was applied to define the excess of this non-centricity. When it comes to the SubCompact Class, the deformation coefficients that are both symmetrical on both sides of the vehicle chassis and those not symmetrical were taken ththeeeexxppeerirmimeenntatal lddaatataininththeebbeeststwwaayy,wweerereddeetetermrminineeddbbyyththeeaauuththoorsr.s.WWhhaat tisismmoorere,itistsmmaaththeemmaatitcicaal l foformrmaalllolowwaaddirierecct taapppplilcicaatitoionn,aassisisititrerelalatitviveelylysismimpplele
For every single pair of variables Cs and m that is analyzed, differentiation has been made between values of speed Vr obtained from taught model (80% of data) and those obtained from validating model (20% of data) through calculation
Following the method proposed by the author further, it may be able to modify the energy method approach, as well as improve the precision of vehicle velocity determination by several percent
Summary
The presented paper studies the SubCompact Car Class using a new non-linear method. This method is based on the work W of vehicle deformation which is determined by the algebraic function of the generalized deformation Cs of the car body [20,22,36]. The collision can be considered elastic when the threshold is assumed to be determined by a speed of 11 km/h Such simplified approach characterize the linear relation between the energy loss during deformation that occurs as a result of a car crash and the generalized deformation coefficient Cs [4,8,23]. The relation can be described by a hyperbolic curve This is connected with the fact that the vehicle loses its stiffness successively during the crash as the following elements of the front part of the car body are broken and the cab itself is further deformed. Great accuracy enhancement and more complete physical picture of the deformation is offered by the non-linear method Using such an approach, it was possible for the authors to decrease the pre-crash speed determination error to 6–8% [18,19], while the error in the linear method reaches the order of 30%
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