A Restitution Model of Two-car Collinear Collisions
Abstract
In the paper two-car collinear collisions are discussed usingNewton's law of mechanics, conservation of energy and linearconstitutive law connecting impact force and crush. Two waysof calculating the mutual restitution coefficient are given: onebased on car masses and one based on car stiffness. A numericalexample of an actual test is provided.References
M. Batista, A Note on Linear Force Model in CarAccident
Reconstruction
/ftp/physics/papers/0511/0511127 .pdf
R. M. Brach. Friction, Restitution, and Energy Loss in
Planar Collisions Trans ASME, Journal of Applied Mechanics,
, 164-170, 1984
R. M. Brach, R. M. Brach. A Review of Impact Models
for Vehicle Collision. SAE Paper 870048.
R. M. Brach, R. M. Brach. Vehicle Accident Analysis and
Reconstruction Methods. SAE International, 2005
N.J. Carpenter, J. B. Welcher. Stiffness and crush energy
analysis for vehicle collision and its relationship to Barrier Equivalent Velocity (BEV). SAE Papers 2001-01-
-0500
A. L. Cipriani. F. P. Bayan, M. L. Woodhouse, A. D.
Cornetto, A. P. Dalton, C. B. Tanner, T. A. Timbario, E.
S. Deyerl. Low-speed Collinear Impact Severity: A Comparison between Full-Scale Testing and Analytical Prediction Tools with Restitution Analysis, SAE Papers 2002-
-01-0540
R. I. Emori. Analytical Approach to Automobile Collisions.
SAE Papers 680016
P. V. Hight, D. B. Lent-Koop, R. A. Hight. Barrier
Equivalent Velocity, Delta V and CRASH3 Stiffness in
Automobile Collisions. SAE Papers 850437
R. P. Howard, J. Bomar, C. Bare. Vehicle Restitution
Response in Low Velocity Collisions. SAE Paper 931842
J. F. Kerkhoff, S. E. Hisher, M. S. Varat, A. M. Busenga,
K. Hamilton. An Investigation into Vehicle Frontal
Impact Stiffness, BEV and Repeated Testing for Recon-·
struction. SAE Paper 930899
R. H. Macmillan, Dynamics of Vehicle Collision, Inderscience
Enterprise Ltd. 1983
M. T. Manson. Mechanics of Robotic Manipulation.
MIT Press, 2001, pp. 214
R. R. McHenry.A Comparison of Results Obtained with
Different Analytical Techniques for Reconstruction of
Highway Accidents. SAE Papers 750893
R. R. McHenry, B. G. McHenry, Effects of Restitution in
the Application of Crush Coefficients, SAE Papers
K. L. Monson, G. J. Germane. Determination and mechanisms of motor vehicle structural restitution for crash
test data. SAE Papers 1999-01-0097
E. W. Routh. The Elementary Part of A Treatise on the
Dynamics of a System of Rigid Bodies. Dover Publications,
S. Tamny, The Linear Elastic-Plastic Vehicle Collision,
SAE 921073
A. J. Watts, D. R. Atkinson, C. J. Hennessy. Low Speed
Automobile Accidents. Lawyers & Judges Publishing
Company, Tuscon, AZ, 1999
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