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Stiffness and Crush Energy Analysis for Vehicle Collision and its Relationship to Barrier Equivalent Velocity (BEV)
Technical Paper
2001-01-0500
ISSN: 0148-7191, e-ISSN: 2688-3627
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Sector:
Event:
SAE 2001 World Congress
Language:
English
Abstract
Accident reconstruction typically requires estimating the change of velocity (Delta-V) imparted to vehicles during collision. Estimating Delta-V commonly involves measuring or estimating the deformation of the vehicles involved in a collision. Material coefficients, which relate barrier equivalent velocity (BEV) to deformation for the two vehicles, are then interpolated or extrapolated from barrier crash test data. Finally, the Delta-V for each of the two vehicles is usually calculated using single-degree-of-freedom (SDOF) impact mechanics formulas.
This paper presents a derivation of SDOF impact mechanics formulas applicable to one-dimensional vehicle collisions. The governing equations presented are new, more complete and more efficient than previously published efforts. In particular, Newton's third law of physics concerning collision force is proportionally expressed as the product of vehicle weight, crush progression behavior and BEV. Relative closing speed and Delta-V are then related to BEV by a factor that is efficiently a function of relative vehicle weight and relative crush progression behavior. The mechanics derivations reveal the proper relationship for predicting coefficient of restitution for vehicle-to-vehicle collision. Previous literature has assumed that restitution can depend on relative vehicle weight. It is shown that the prediction of restitution depends strictly on relative vehicle stiffness, not relative weight.
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Citation
Carpenter, N. and Welcher, J., "Stiffness and Crush Energy Analysis for Vehicle Collision and its Relationship to Barrier Equivalent Velocity (BEV)," SAE Technical Paper 2001-01-0500, 2001, https://doi.org/10.4271/2001-01-0500.Also In
References
- Campbell, K. 1974 “Energy Basis for Collision Severity” SAE Paper No. 740565 SAE Warrendale, PA
- Mason, R. Whitcomb, D. 1972 “The Estimation of Accident Impact Speed” Cornell Aeronautical Laboratory Inc. August 1972
- “Webster's New World Dictionary of the American Language,” New York The World Publishing Company 1964
- Malvern, L. 1969 “Introduction to the Mechanics of a Continuous Medium” Prentice Hall New Jersey
- Hurty, W. Rubinstein, M. 1965 “Dynamics of Structures” Prentice Hall New Jersey
- Sandor, B. Richter, K 1987 “Engineering Mechanics Statics and Dynamics” Prentice Hall New Jersey
- Emori, R. 1968 “Analytical Approach to Automobile Collisions” SAE Paper 680016 SAE Warrendale, PA
- Guenther, D. Goodwin, L. Bookwalter, J. 1984 “Barrier Equivalent Impact Speeds: An Analytical Review with Some Experimental Validation” Proceedings of the Canadian Multidisciplinary Road Safety Conference III May 27-30 1984 London, Ontario
- Hight, P. Kent-Koop, P. Hight, R. 1985 “Barrier Equivalent Velocity, Delta V and Crash III Stiffness in Automobile Collisions” SAE Paper 850437 SAE Warrendale, PA
- Howard, R. Bomar, J. Bare, C. 1993 “Vehicle Restitution in Low Velocity Collisions” SAE Paper 931842 SAE Warrendale, PA
- Kerkhoff, J. Husher, S. Varat, M. Busenga, A. Hamilton, K. 1993 “An Investigation into Vehicle Frontal Impact Stiffness, BEV and Repeated Testing for Reconstruction” SAE Paper 930899 SAE Warrendale, PA
- McHenry, R. 1975 “A Comparison of Results Obtained With Different Analytical Techniques for Reconstruction of Highway Accidents” SAE Paper 750893 SAE Warrendale, PA
- Monson, K. Germane, G. 1999 “Determination and Mechanisms of Motor Vehicle Restitution from Crash Test Data” SAE Paper 1999-01-0097 SAE Warrendale, PA
- Antonetti, V. 1998 “Estimating the Coefficient of Restitution of Vehicle-to-Vehicle Bumper Impacts” SAE Paper 980552 SAE Warrendale, PA
- Prasad A. K. “Coefficient of restitution of vehicle structures and it use in estimating the total DV in automobile collisions” AMD 126 BED 19 Crash Worthiness and occupant protection and transportation system 217 246 ASME 1991
- Robinette, R. Fay, R. Paulsen, R. 1994 “Delta-V: Basic Concepts, Computational Methods, and Misunderstandings” SAE Paper 940915 SAE Warrendale, PA
- Warner, C. Allsop, D. Germane, G. 1986 “A Repeated-Crash Test Technique for Assessment of Structural Impact Behavoir” SAE Paper 860208 SAE Warrendale, PA
- Siegmund, G. King, D. Montgomery, D. 1996 “Using Barrier Impact Data to Determine Speed Change in Aligned, Low-Speed Vehicle-to-Vehicle Collisions” SAE Paper 960887 SAE Warrendale, PA
- Fricke, L. “Traffic Accident Reconstruction: Volume 2 of the Traffic Accident Investigation Manual,” Northwester University Traffic Institute 1990