Hostname: page-component-84b7d79bbc-lrf7s Total loading time: 0 Render date: 2024-07-30T22:38:59.706Z Has data issue: false hasContentIssue false
  • English
  • Français

The equations of motion for a parachute system descending through a real fluid

Published online by Cambridge University Press:  04 July 2016

T. Yavuz
T. Yavuz*
Affiliation:
Erciyes University, Kayseri, Turkey
Get access Rights & Permissions [Opens in a new window]

Summary

For the computer simulation of bodies moving through real fluids input data about the aerodynamic and inertial forces and moments developed on them are required. It has long been known that under appropriate conditions the apparent masses of the body can play an important role in the determination of dynamic characteristics and this is certainly the case with parachute systems. In the past, because of inadequate experimental investigations, not all of the implications of apparent mass for this system have been fully appreciated. The current objective is therefore, in the light of experiments conducted on the measurement of apparent masses for some parachute canopies, to derive the relevant equations of motion for the parachute and store system and thus to determine the effects of various parameters on the dynamic characteristics of fully-deployed parachutes. In this system the store has been assumed to be rigidly connected to the canopy.

Type
Research Article
Information
The Aeronautical Journal , Volume 89 , Issue 889 , November 1985 , pp. 343 - 348
Copyright
Copyright © Royal Aeronautical Society 1985 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Ibrahim, S. K. Apparent Added Mass and Moment of Inertia of Cup-Shaped Bodies in Unsteady Incompressible Flow. PhD Thesis, University of Minnesota, USA, 1965.Google Scholar
2. Yavuz, T. and Cockrell, D. J., Experimental Determination of Parachute Apparent Mass and its Significance in Predicting Dynamic Stability. AIAA Paper No 81-1920, 7th Aerodynamic Decelerator and Balloon Technology Conference, San Diego, 1981.Google Scholar
3. Jorgensen, D. S. Cruciform Parachute Aerodynamics. PhD Thesis, Dept of Engineering. University of Leicester, 1982.Google Scholar
4. Iversen, H. W. and Balant, R., A Correlating Modulus for Fluid Resistance in Accelerated Motion. App Phy, March 1951,22,3.Google Scholar
5. Luneau, J. L. Sur Ltnfluence de l'acceleration sur la Resistance au Mouvement dans les Fluids. PublSciMinAir. Paris 1950,363.Google Scholar
6. Lamb, H. Hydrodynamics. 6th edition, 1932; New York, Doher Publ, 1945.Google Scholar
7. Ibrahim, S. K. Experimental Determination of the Apparent Moment of Inertia of Parachutes. Air Force Flight Dynamics Lab, Wright-Patterson Air Force Base, Ohio, FDL-TDR-64- 153, December 1964.Google Scholar
8. Jones, R. Experiments on Rigid Parachute Models. Aerodynamics Div NPL, Report and Memoranda, No 2520, November 1943.Google Scholar
9. Henn, H. Die Absinkeigenschaften von Fallschirmen. ZWB Um. Nr 6202,1944.Google Scholar
10. O'HARA, F. Note on the Opening Behaviour and the Opening Forces of Parachute. J Roy Aero Soc, November 1949.Google Scholar
11. Lester, W. G. S. A Note on the Theory of Parachute Stability. RAE Tech Note Mech Eng, 1962,358.Google Scholar
12. Ludwig, R. and Heins, W. Investigations on the Dynamic Stability of Personnel Guide Parachutes. AGARD Rep. 444, 1963.Google Scholar
13. Wolf, D. K. An investigation of Parachute Dynamics Stability. A Thesis of Master Science, University of Rhode Island, 1965.Google Scholar
14. Walford, D. F. and Spahr, H. R. Parachute cluster dynamic analysis. Journal of Aircraft, April 1977,14,4,321–322.Google Scholar
15. Byushgens, A. G. and Shillow, A. A. The Dynamic Model of a Parachute and Determination of its Characteristics Uchenyye Zapiski Tsagi. 1972, 3, 49–58, (FTD-MT-25-510-75, January 1975).Google Scholar
16. Tory, C. and Ayres, R. Computer Model of a Fully-Deployed Parachute. J Aircraft, July 1977,14,7.Google Scholar
17. Eaton, J. A. and Cockrell, D. J. The Validity of the Leicester Computer Model for a Parachute with Fully-Deployed Canopy. AIAA 6th Aerodynamics Decelerator and Balloon Tech. Conf, Paper No 79-0460, USA, 1979.Google Scholar
18. Eaton, J. A. Added Fluid mass and the Equations of motion of a Parachute.Google Scholar
19. Yavuz, T. Aerodynamics of Parachutes and like bodies in Unsteady Motion. PhD Thesis, University of Leicester, 1982.Google Scholar
20. Brenner, H. The Stokes Resistance of an Arbitrary Particle. Chem EngSci, 1963,18,1–25.Google Scholar
21. Birkhoff, G. Hydrodynamics, a Study of Logic, Fact and Similitude. Princeton University Press, 1961.Google Scholar
22. Llngard, J.S. The Performance and design of Ram-Air Gliding Parachutes. RAE Tech Report 81103. August 1981.Google Scholar
23. Doherr, K. -F. and Soliaris, C. On the Influence of Stochastic and Acceleration Dependent Aerodynamic Forces on the Dynamic Stability of Parachutes. AIAA Paper No 81-1941, 7th Aerodynamic Decelerator and Balloon Tech Conf, San Diego, USA, 1981.Google Scholar
24. Cockrell, D. J., Doherr, K. -F. and Polpitiye, S. J. Further Experimental Determination of Parachute Virtual Mass Coefficients. AIAA-84-0797,8th Aerodynamic Decelerator and Balloon Technology Conference, Hyannis, 1984.Google Scholar