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Identification of Mathematical Models from Impact Data: Application to Thoracic Impact
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English
Abstract
This paper illustrates a method for deriving the parameters of mathematical models from impact data. An error measure between the model and the experimental data is proposed which avoids repeated simulations of model response. This error measure is formulated for a simple model of the chest utilizing the data of Kroell, et al.(1)** The error is minimized using both gradient and nongradient optimization techniques to obtain model parameters. The reasonable correlation between model and experiment indicated that the method proposed may be a useful tool to researchers in the field.
Authors
Citation
Free, J., Hall, J., and Montano, C., "Identification of Mathematical Models from Impact Data: Application to Thoracic Impact," SAE Technical Paper 760772, 1976, https://doi.org/10.4271/760772.Also In
References
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- Young R. D. “A Three Dimensional Mathematical Model to Predict the Dynamic Response of An Automobile Occupant.” 50th Annual SAE Meeting
- “Thoracic Injury Mechanisms.” DOT Report No. HS 80-1711
- Hooke R. Jeeves T. A. “Direct Search Solution of Numerical and Statistical Problems.” Journal of the Association for Computing Machinery 8 2 April 1961 212 229
- Lion P. M. “Rapid Identification of Linear and Nonlinear Systems.” 1966 Joint Automatic Control Conference 605 608
- Davidon W. C. “Variable Metric Method for Minimization.” ACE Research and Development Report ANL-5990 1959
- Neathery R. F. “Analysis of Chest Impact Response Data and Scaled Performance Recommendations.” Eighteenth Stapp Car Crash Conference 459