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Derivation of Closing Speed as a Function of Dissipated Energy
Technical Paper
2000-01-1318
ISSN: 0148-7191, e-ISSN: 2688-3627
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Event:
SAE 2000 World Congress
Language:
English
Abstract
In accident reconstruction, a relationship frequently used for completely inelastic collisions is one between relative speed (or closing speed), vehicle weights and total energy dissipated in deforming the vehicles during collision (crush energy). Derivation of this equation is presented in various accident reconstruction literature, but always for collinear collisions, i.e. vehicles traveling along the same straight line. A derivation is presented here for the general case, which shows the same relationship is valid for any angle of approach between the vehicles, not just 0° or 180°. A supplemental derivation is presented which yields the relationship for all collisions, not just completely inelastic collisions.
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Topic
Citation
Robinson, E., "Derivation of Closing Speed as a Function of Dissipated Energy," SAE Technical Paper 2000-01-1318, 2000, https://doi.org/10.4271/2000-01-1318.Also In
Accident Reconstruction: Analysis, Simulation, and Visualization
Number: SP-1491; Published: 2000-03-06
Number: SP-1491; Published: 2000-03-06
SAE 2000 Transactions Journal of Passenger Cars - Mechanical Systems
Number: V109-6; Published: 2001-09-15
Number: V109-6; Published: 2001-09-15
References
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- Collins, J. C. “Accident Reconstruction” Thomas Charles C. Springfield, IL 1979 206
- Marion, J. B. Thornton, S. T. “Classical Dynamics of Particles and Systems” 3rd Harcourt Brace Jovanovich Orlando, FL 1988 290 329
- Evans, R. D. “The Atomic Nucleus” McGraw-Hill New York, NY 1955
- Schmidt, B. F. Haight, W. R. Szabo, T. J. Welcher, J. B. System Based Energy and Momentum Analysis of Collisions SAE 980026