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Abstract
The paper presents the longitudinal and lateral stability analysis of an aerostat tethered in a steady wind. The parametric trend study showing the effect of variation of different parameters on longitudinal stability boundaries of an aerostat has also been presented. In contrast with the conventional airplane, the equations of motion for the tethered aerostat included buoyancy forces, apparent mass terms and static forces resulting from the tether cable. The analysis consisted of mathematical modeling and its use to compute the stability characteristics for the longitudinal and lateral cases followed by the parametric trend study carried out by varying the dimensional, aerodynamic and other parameters of the aerostat for the longitudinal case. Graphical results show that the aerostat is stable for longitudinal as well as lateral case. The parametric trend study presented, thereafter, suggested that the judicious and feasible choice of various aerostat parameters could be utilized to design a new aerostat that can remain stable for wide range of wind velocities.
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References
- Gupta, P. and Pant, R.S., "A Methodology for Initial Sizing and Conceptual Design Studies of an Aerostat", International Seminar on Challenges on Aviation Technology, Integration and Operations (CATIO-05), Technical. Sessions of 57th Annual General Meeting of Aeronautical Society of India, December, 2005.
- Raina, A.A., Bhandari, K.M. and Pant, R.S., "Conceptual Design of a High Altitude Aerostat for Study of Snow Patterns", Proceedings of International Symposium on Snow and Avalanches (ISSA-09), SASE, Manali, India, April 6-10, 2009.
- Rajani, A., Pant, R.S. and Sudhakar, K., "Dynamic Stability Analysis of a Tethered Aerostat", Proceedings of 18th AIAA Lighter-Than-Air System Technology Conference, Seattle, Washington, USA, May 4-7, 2009.
- Rajani, A., Pant, R.S. and Sudhakar, K., "Dynamic Stability Analysis of a Tethered Aerostat", Journal of Aircraft, Vol. 47, No. 5, September-October, 2010.
- Gawande, V.N., Bilaye, P., Gawale, A.C., Pant, R.S. and Desai, U.B., "Design and Fabrication of an Aerostat for Wireless Communication in Remote Areas", System Technology Conference, Belfast, Northern Ireland, UK, September, 2007.
- Redd, L.T., Benett, R.M. and Bland, S.R., "Analytical and Experimental Investigation of Stability Parameters for a Balloon Tethered in Wind", 7th AF Cambridge Research Laboratories Scientific Balloon Symposium (Portsmouth, N.H.), September, 1972.
- Redd, L.T., Benett, R.M. and Bland, S.R., "Experimental and Analytical Determination of Stability Parameters for a Balloon Tethered in Wind", Numeric Value TD D-2021, 1973.
- Redd, L.T., Benett, R.M. and Bland, S.R., "Stability Analysis and Trend Study of a Balloon Tethered in Wind, with Comparisons", NASA TN D-7272, October, 1973.
- Srivastava Shashank., "Stability Analysis and Parameter Trend Study of Single Tether Aerostats", M.Tech Thesis, Department of Aerospace Engineerring, Indian Institute of Technology, Kanpur, April, 2009.
- Khouri, G.A. and Gillett, J.D., "Airship Technology", Cambridge University Press, UK, 1999.
- Delaurier, J.D., "A Stability Analysis for Tethered Aerodynamically Shaped Balloons", Journal of Aircraft, Vol. 9, No. 9, pp. 646-651, September, 1972.
- Lambert, C. and Nahon, M., "Stability Analysis of a Tethered Aerostat", Journal of Aircraft, Vol.40,
- No.4, July-August, 2003, .
- Li, Y. and Nahon, M., "Modeling and Simulation of Airship Dynamics", Journal of Guidance, Control
- and Dynamics, Vol.30, No.6, November.-December, 2007.
- Neumark, S., "Equilibrium Configurations of Flying Cables of Captive Balloons and Cable Derivatives for Stability Calculations", R and M No.3333, Brit., A.R.C, 1963.
- Delaurier, J.D., "A First Order Theory for Predicting the Stability of Cable Towed and Tethered Bodies
- Where the Cable has a General Curvature and Tension Variation", VKI-TN-68, Von Karman Institute
- of Fluid Dynamics, December, 1970.
- Delaurier, J.D., "A Stability Analysis of Cable-body System Totally Immersed in Fluid Stream", Numeric
- Value CR-2021, 1972.
- Raymer, D.P., "Aircraft Design: A Conceptual Approach", 4th Ed. AIAA Education Series, New York,
- NY, 2006.
- Etkin, B. and Lloyd, D.R., "Dynamics of Flight: Stability and Control", 3rd Ed. John Wiley and Sons
- Inc., 1996.
- Nelson, R.C., "Flight Stability and Automatic Control", 2nd Ed. McGraw-Hill, 1998.
References
Gupta, P. and Pant, R.S., "A Methodology for Initial Sizing and Conceptual Design Studies of an Aerostat", International Seminar on Challenges on Aviation Technology, Integration and Operations (CATIO-05), Technical. Sessions of 57th Annual General Meeting of Aeronautical Society of India, December, 2005.
Raina, A.A., Bhandari, K.M. and Pant, R.S., "Conceptual Design of a High Altitude Aerostat for Study of Snow Patterns", Proceedings of International Symposium on Snow and Avalanches (ISSA-09), SASE, Manali, India, April 6-10, 2009.
Rajani, A., Pant, R.S. and Sudhakar, K., "Dynamic Stability Analysis of a Tethered Aerostat", Proceedings of 18th AIAA Lighter-Than-Air System Technology Conference, Seattle, Washington, USA, May 4-7, 2009.
Rajani, A., Pant, R.S. and Sudhakar, K., "Dynamic Stability Analysis of a Tethered Aerostat", Journal of Aircraft, Vol. 47, No. 5, September-October, 2010.
Gawande, V.N., Bilaye, P., Gawale, A.C., Pant, R.S. and Desai, U.B., "Design and Fabrication of an Aerostat for Wireless Communication in Remote Areas", System Technology Conference, Belfast, Northern Ireland, UK, September, 2007.
Redd, L.T., Benett, R.M. and Bland, S.R., "Analytical and Experimental Investigation of Stability Parameters for a Balloon Tethered in Wind", 7th AF Cambridge Research Laboratories Scientific Balloon Symposium (Portsmouth, N.H.), September, 1972.
Redd, L.T., Benett, R.M. and Bland, S.R., "Experimental and Analytical Determination of Stability Parameters for a Balloon Tethered in Wind", Numeric Value TD D-2021, 1973.
Redd, L.T., Benett, R.M. and Bland, S.R., "Stability Analysis and Trend Study of a Balloon Tethered in Wind, with Comparisons", NASA TN D-7272, October, 1973.
Srivastava Shashank., "Stability Analysis and Parameter Trend Study of Single Tether Aerostats", M.Tech Thesis, Department of Aerospace Engineerring, Indian Institute of Technology, Kanpur, April, 2009.
Khouri, G.A. and Gillett, J.D., "Airship Technology", Cambridge University Press, UK, 1999.
Delaurier, J.D., "A Stability Analysis for Tethered Aerodynamically Shaped Balloons", Journal of Aircraft, Vol. 9, No. 9, pp. 646-651, September, 1972.
Lambert, C. and Nahon, M., "Stability Analysis of a Tethered Aerostat", Journal of Aircraft, Vol.40,
No.4, July-August, 2003, .
Li, Y. and Nahon, M., "Modeling and Simulation of Airship Dynamics", Journal of Guidance, Control
and Dynamics, Vol.30, No.6, November.-December, 2007.
Neumark, S., "Equilibrium Configurations of Flying Cables of Captive Balloons and Cable Derivatives for Stability Calculations", R and M No.3333, Brit., A.R.C, 1963.
Delaurier, J.D., "A First Order Theory for Predicting the Stability of Cable Towed and Tethered Bodies
Where the Cable has a General Curvature and Tension Variation", VKI-TN-68, Von Karman Institute
of Fluid Dynamics, December, 1970.
Delaurier, J.D., "A Stability Analysis of Cable-body System Totally Immersed in Fluid Stream", Numeric
Value CR-2021, 1972.
Raymer, D.P., "Aircraft Design: A Conceptual Approach", 4th Ed. AIAA Education Series, New York,
NY, 2006.
Etkin, B. and Lloyd, D.R., "Dynamics of Flight: Stability and Control", 3rd Ed. John Wiley and Sons
Inc., 1996.
Nelson, R.C., "Flight Stability and Automatic Control", 2nd Ed. McGraw-Hill, 1998.