Application of Fractional Calculus to Frontal Crash Modeling
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-07-04
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Zigic, Miodrag& Grahovac, Nenad. 2017. Application of Fractional Calculus to Frontal Crash Modeling. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-10.
https://search.emarefa.net/detail/BIM-1191851
Modern Language Association (MLA)
Zigic, Miodrag& Grahovac, Nenad. Application of Fractional Calculus to Frontal Crash Modeling. Mathematical Problems in Engineering No. 2017 (2017), pp.1-10.
https://search.emarefa.net/detail/BIM-1191851
American Medical Association (AMA)
Zigic, Miodrag& Grahovac, Nenad. Application of Fractional Calculus to Frontal Crash Modeling. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-10.
https://search.emarefa.net/detail/BIM-1191851
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1191851