Analysis of motion of the body of a motor car hit on its side by another passenger car

Gidlewski, Mirosław; Prochowski, Leon

doi:10.1088/1757-899x/148/1/012039

Cited by 12 publications

(11 citation statements)

References 1 publication

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“…the assumption of the EES speed and deformation CS relationship [10,12]. To simplify the calculations and thus increase the computation speed this dependency, up till now, was assumed to be linear.…”

Section: Ifmentioning

confidence: 99%

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Nonlinear method of precrash velocity determination for Mini car class-B-spline tensors products with probabilistic weights

Mrowicki

Kubiak

Zakrzewicz

2020

The Archives of Automotive Engineering – Archiwum Motoryzacji

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Following research paper introduces a nonlinear method of determining the velocity of a vehicle before the impact-the Equivalent Energy Speed (EES) for mini car class. To estimate the magnitude of EES, this method utilizes the deformation work Wdef of the vehicle, defined by the quotient of deformation coefficient Cs and plastic deformation. Currently used methods assume linear relationship between velocity, deformation and mass of the vehicle. New approach estimates such relation by means of three dimensional surfaces. Such mathematical model is based on data provided by National Highway Traffic Safety Administration (NHTSA) that covers full frontal collisions with a rigid barrier. Vehicles take part in a standardized collision and are being crashed at a known velocity. Then the deformation is measured in six control points. Method introduces the B-spline tensor products and least square approximation with probabilistic weights that shows promising results. Linear approach generates relative error of 18.2% whereas the nonlinear approach reduces it down to 11.2%.

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Section: Ifmentioning

confidence: 99%

“…the assumption of the EES speed and deformation CS relationship [10,12]. To simpli and thus increase the computation speed this dependency, up till now, was assumed does not have to be the case as, according to Moore's law, the number of transistors on chips doubles every two years.…”

Section: Description Of B-splinesmentioning

confidence: 99%

Nonlinear method of precrash velocity determination for Mini car class-B-spline tensors products with probabilistic weights

Mrowicki

Kubiak

Zakrzewicz

2020

The Archives of Automotive Engineering – Archiwum Motoryzacji

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“…the point of application of the impact force, in the levelled coordinate system attached to the mass centre of the ith car (Fig. 2); This way, a system of six differential equations with respect to the coordinates defining the positions of the mass centres and rotations of cars A and B was obtained (6), comprising also two algebraic equations. This system will be treated as a system of solely algebraic equations, because the time histories of components of the vector of translational acceleration of the mass centres and of the vectors of angular acceleration of the cars are known.…”

Section: Modelling Of the Collisionmentioning

confidence: 99%

“…A few initial stages of the energy-based analysis of the front-to-side collision have already been presented by the authors in previous publications. Crash tests with about a dozen cars of the same make and model have been described in [6,7]. In each test, the front of vehicle A impacted the left side of vehicle B.…”

Section: Introductionmentioning

confidence: 99%

The process of front-to-side collision of motor vehicles in terms of energy balance

et al. 2018

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The reconstruction of a road accident can be treated as the resolution of an "inverse problem" in mechanics using analytical or numerical models. In the road accident reconstruction research, an assumption is often made that a predominant part of the energy lost during vehicle collisions is consumed by permanent deformation of vehicle components. Other parts of the dissipated energy can be ignored due to their insignificant amount. In this article, this assumption will be verified for the front-to-side collision of passenger cars. The main objective of this paper is to determine the important components of the energy balance dissipated during the collision. These components were determined on the basis of experimental results, which included three crash tests with a front-to-side collision of motor vehicles of the same make and model, with the right-angle impact of one car against the side of another. The results of experiments were used to construct the model of the dynamics of the motor vehicle collision. The model was then used as a basis for the determination of the forces, displacements and velocities during vehicle collision. The above made it possible to determine vehicle force/deformation curves and then M. Gidlewski (B) the key components of the dissipated energy in function of the duration of the contact phase of the vehicle collision. Based on the results of the model and crash tests, conclusions were formulated that provide an important insight into the reconstruction of the front-to-side collisions of motor vehicles.

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“…The focus of those methods is to establish the value of nonlinear coefficient b k which is the slope factor. The pre-impact velocity V t is a function of said coefficient and deformation ratio C s [4,[8][9][10][11][12][16][17][18][19][20][21][22][23]20,21,[25][26][27][28]30,[34][35][36][37]39]. The C s determines the body deformation as an arithmetic mean of deformation depth [23] in specific points C 1 to C 6 [13][14][15]23,26,34,35,37,39].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Method of Vehicle Velocity Determination Based on Inverse System and Tensor Product of Legendre Polynomials - Intermediate Class

Gosławski

Gralewski

Krukowski

et al. 2019

The Archives of Automotive Engineering – Archiwum Motoryzacji

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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 which is the slope factor of precrash velocity Vt and deformation ratio Cs function. The application of the least square method provides more precise results in both cases than in previously researched solutions, with a slight advantage of the tensor product method. The obtained mean relative error of the velocity determination using the inverse system method is approximately 16,22% for the linear model and 10,58% for the nonlinear model. In the case of the tensor product method the errors for linear and nonlinear models are respectively 6,74% and 6,3%.

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Analysis of motion of the body of a motor car hit on its side by another passenger car

Cited by 12 publications

References 1 publication

Nonlinear method of precrash velocity determination for Mini car class-B-spline tensors products with probabilistic weights

Nonlinear method of precrash velocity determination for Mini car class-B-spline tensors products with probabilistic weights

The process of front-to-side collision of motor vehicles in terms of energy balance

Nonlinear Method of Vehicle Velocity Determination Based on Inverse System and Tensor Product of Legendre Polynomials - Intermediate Class

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