2
Mechanic Group, Mechanic Department,, Shiraz University, Shiraz, Fars
Abstract
The aerodynamic coefficients of any flying object can be estimated with high accuracy, by aero-ballistic tests, monitored in aerodynamic laboratories. For test-running management, it is necessary to determine the number and type of estimated variables and the station placement of each test. For this purpose, the sensitivity of variables under measurement, in relation to the associated aerodynamic coefficients must be calculated and surveyed. As the trajectory path is a nonlinear equation with six degrees of freedom, in this article we estimate the aerodynamic coefficients and sensitivity of each output to the changes of aerodynamic coefficients using the least square method and fisher data matrix. In other word, if the test data such as the speed and pitch angle are to be measured in an aero-ballistic test, the results of this research can specify their accuracy and sensitivity to each aerodynamic coefficient and the relevant coefficient errors.
Chapman, T. and Kirk, D. B. "A Method for Extracting Aerodynamic Coefficients from Free-Flight Data”, AIAA journal, Vol. 8, no. 4, pp. 753-758, 1970.##
Dupuis, A. "Aeroballistic Range Tests of a Dart Model at Supersonic Speeds”, Int. Conf. 15th Atmospheric Flight Mechanics, Quebec, Canada, 1988.##
Tam, T., Ruffin, S., Yates, L., Gage, P., Bogdanoff, D. and Morgenstern, J. "Sonic Boom Testing of Artificially Blunted Leading Edge (ABLE) Concepts in the NASA Ames Aeroballistic Range”, Int. Conf. 38th Aerospace Sciences Meeting and Exhibit Reno, NV, Moffett Field, Canada, 2000.##
Brown, J. D., Bogdanoff, D. W., Yates, L. A., and Chapman, G. T. "Transonic Aerodynamics of a Lifting Orion Crew Capsule from Ballistic Range Data”, Spacecraft Rockets, Vol. 47, pp. 36-47, 2010.##
Topper, B., Brown, T. G., Bukowski, E., Davis, B. S., Hall, R. A., Muller, P. C., Vong, T. T., and Brandon, F. J. "Feasibility of Determining Aerodynamic Coefficients for a NASA Apollo Body with the Use of Telemetry Data From Free Flight Range Testing”, presented at the Army Research Lab Aberdeen Proving Ground MD Weapons and Materials Research Directorate, 2007.##
Wey, P., Bastide, M., Martinez, B., Srulijes, J., and Gnemmi, P. "Determination of Aerodynamic Coefficients from Shock Tunnel Free Flight Trajectories”, Int. Conf. 28th Aerodynamic Measurement Technology, Ground Testing, and Flight Testing, New Orleans, Louisiana, 2012.##
Toyoda, A., Imaizumi, T., and Sasoh, A. "Near Field Pressure Measurement around Three-Dimensional Free Flight Models”, Int. Conf. 31st AIAA Applied Aerodynamics, San Diego, CA, 2013.##
Toyoda, A., Sasoh, A., Imaizumi, T. and Ooyama, T. "Near Field Pressure Measurement around Free Flight 69 Degree Swept Back Delta Wing Model”, Int. Conf. 53rd AIAA Aerospace Sciences Meeting, Kissimmee Florida, 2015.##
Iwakawa, A., Furukawa, D., Aoki, Y. and Sasoh, A. "Free Flight Measurement of Aircraft Model using Aero Ballistic Range”, Int. Conf. 33rd AIAA Applied Aerodynamics, Dallas, Texas, 2015.##
Abtahi, S. F. "Identification of Dynamic and hydrodynamic Characteristics of an Underwater Vehicle Using Physical Data and Robust Control”, PhD Dissertation, Department of mechanic engineering, Shiraz university, 2019.##
Levine, W. S. "The Control Systems Handbook, Control System Advanced Methods”, ( 2nd ed.): CRC Press, Taylor & Francis Group, New York, US, 2010.##
Siouris, G. M. "Missile Guidance and Control Systems”, Springer, New York, US, 2004.##
Albisser, M. "Identification of Aerodynamic Coefficients from Free Flight Data”, Cntre de Recherche en Automatique de Nancy, Vandoeuvre-les-Nancy, France, 2015.##
Masoominia, M. A. "Principles of Coordinate Systems and Rotation”, Sharif University of Technology Press, Tehran, Iran, 1988.##
Keesman, K. J. "System Identification”, An Introduction: Springer Science & Business Media, London, UK, 2011.##
Piekutowski, A. J. and Poormon, K. L. "Development of a Three-Stage, Light-Gas Gun at the University of Dayton Research Institute”, Int. J. Impact Eng., Vol. 33, pp. 615–624, 2006.##
Banks, H., Cintrón-Arias, A. and Kappel, F. "Parameter Selection Methods in Inverse Problem Formulation”, in Mathematical modeling and validation in physiology, ed: Springer, Berlin, Germany, 2013, pp. 43-73.##
Weijers, S. R. and Vanrolleghem,, P. A. "A Procedure for Selecting Best Identifiable Parameters in Calibrating Activated Sludge Model No. 1 To Full-Scale Plant Data”, Water science and technology, Vol. 36, pp. 69-79, 1997.##
Kuh, E. and Welsch, R. E. "Regression diagnostics: Identifying Influential Data and Sources of Collinearity”, Vol. 163: Wiley-Interscience, 1980.##
Babayi, R., Alishahi, M. M., & Mirzayi, M. (2021). Estimation and Sensitivity Analysis of Aerodynamic Coefficients of an Aircraft Using Nonlinear Least Square and Fisher Matrix. Fluid Mechanics & Aerodynamics, 9(2), 125-139.
MLA
Reza Babayi; Mohammad Mehdi Alishahi; Mojtaba Mirzayi. "Estimation and Sensitivity Analysis of Aerodynamic Coefficients of an Aircraft Using Nonlinear Least Square and Fisher Matrix", Fluid Mechanics & Aerodynamics, 9, 2, 2021, 125-139.
HARVARD
Babayi, R., Alishahi, M. M., Mirzayi, M. (2021). 'Estimation and Sensitivity Analysis of Aerodynamic Coefficients of an Aircraft Using Nonlinear Least Square and Fisher Matrix', Fluid Mechanics & Aerodynamics, 9(2), pp. 125-139.
VANCOUVER
Babayi, R., Alishahi, M. M., Mirzayi, M. Estimation and Sensitivity Analysis of Aerodynamic Coefficients of an Aircraft Using Nonlinear Least Square and Fisher Matrix. Fluid Mechanics & Aerodynamics, 2021; 9(2): 125-139.
)
