Dynamic model for automotive side impact crashes

Sun, Ludong; Taghvaeeyan, Saber; Rajamani, Rajesh

doi:10.1080/00423114.2014.906630

Cited by 1 publication

(3 citation statements)

References 5 publications

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Mentioning

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Order By: Relevance

“…together with the constitutive equation for the longer rod (2). The derivative order is in a range 0 < < 1 for the fractional Zener model, while = 1 for the standard Zener model.…”

Section: System With Twomentioning

confidence: 99%

“…Equation (2) represents the fractional Zener model for 0 < < 1, while in the case when = 1, it represents the standard Zener model with classical integer order derivatives. On the basis of experimental data of a crash test presented in [6], the task is to determine the parameters of the fractional Zener model for the rod, which is a generalization of the standard Zener model.…”

Section: System With One Viscoelastic Rodmentioning

confidence: 99%

“…National Highway Traffic Safety Administration (NHTSA), US Department of Transportation, performed twelve staged collisions, as well as their computational simulations [1]. Parameter identification of a vehicle and occupant model in the case of a side impact crash, on the basis of experimental data from NHTSA, was done by Sun et al; see [2]. Impact of different vehicles on a road safety barrier was studied in [3].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Application of Fractional Calculus to Frontal Crash Modeling

Žigić¹,

Grahovac²

2017

Mathematical Problems in Engineering

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Fractional derivative viscoelastic model is used in the analysis of a frontal impact of a vehicle against a rigid obstacle. The frontal part of the vehicle is first modeled as a viscoelastic fractional rod and then it is modeled as two different viscoelastic fractional rods with a different length. In the second model also the friction is taken into account. A motion is analyzed during several phases because of both different lengths of the rods and the presence of a dry friction force in the later model. Governing systems of differential equations together with the corresponding initial conditions are derived. Parameter identification is done on the basis of the existing experimental results using the solution of a posed impact problem. What makes the problem more complex, regarding the second model, is the fact that it belongs to the class of nonsmooth fractional order systems, which require special treatment when dealing with deformation history during different motion phases.

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“…together with the constitutive equation for the longer rod (2). The derivative order is in a range 0 < < 1 for the fractional Zener model, while = 1 for the standard Zener model.…”

Section: System With Twomentioning

confidence: 99%

Section: System With One Viscoelastic Rodmentioning

confidence: 99%