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Abstract
The origins of the field of computational flight dynamics can be traced back to the pioneering work by Carroll and Mehra in 1982 in which they introduced the use of bifurcation theory to the analysis of nonlinear aircraft dynamics. In this paper, we focus attention on the field of computational flight dynamics, which includes bifurcation methods, dynamic inversion algorithms, flight simulation, and optimization techniques in the context of aircraft design. We first point out some important developments and achievements in computational flight dynamics over the last several years. Following this, we suggest some areas of ongoing and future research, which may have a serious impact on the aircraft design and development cycle.
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References
- Perkins, C. and Hage, R.E., "Airplane Performance, Stability, and Conrrol", John Wiley, New york, 1949.
- McRuer, D., Ashkenas, I. and Graham, D., "Air.craft Dynamics and Automatic Control", Princeton University Press, Princeton, NJ, 1973.
- Pamadi, B., "Performance, Stability, Dynamics, and Control of Airplanes", AIAA, Reston, VA, 1998.
- Abzug, M.J., "Compurarional Flight Dynamics', (the title is, unfortunately, misleading, as this book only discusses computer programs for traditional flight dynamics analysis), AIAA, Reston, VA, 1998.
- Carroll, J. V. and Mehra, R.K., "Bifurcation Analysis of Nonlineal Aircraft Dynamics," Journal of Guidance, Control. and Dynamics, Vol.5, No'5, 1982, pp.529-536.
- Goman, M.G., Zagaynov, G.I. and Khramtsovsky, A.V., "Application of Bifurcation Methods to Nonlinear Flight Dynamics Problems," Progress in Aerospace Sciences, Vol.33, 1997, pp.539-586.
- Sinha, N.K., "Application of Bifurcation Methods to Nonlinear Aircraft Dynamics," Journal of the Aeronautical Society of India, Vol.53, No 4, 2001, pp.253-270.
- Ananthkrishnan, N., "Continuation and Bifurcation Methods Applied to Nonlinear Problems in Flight Dynamics," Ph.D. Thesis, Department of Aerospace Engineering, Indian Institute of Technology Bombay, Mumbai, India, Feb. 1994.
- Guicheteau, P., "Bifurcation Theory: A Tool for Nonlinear Flight Dynamics, " Philosophical Transactions of the Royal Society of London, Series A, Vol.356, No. 1745, 1998, pp.2181-2201.
- Macmillen, F.B.J. and Thompson, J.M.T.' "Bifurcation Analysis in the Flight Dynamics Design Process? A View from the Air-craft Industry," Philosophical Transactions of the Royal Society of London. Series A, Vo1.356, No 1745' 1998, pp.2321-2333.
- Jahnke, C.C. and Culick, F.E.C., "Application of Bifurcation Theory to the High-Angle-of-Attack Dynamics of the F 14," Journal of Aircraft, Vol.31, No.1, 1994, pp.26-34.
- Sinha, N.K., "Application of Bifurcation Methods to the F - 18 HARV Open - Loop Dynamics in Landing Configuration," Defence Science Journal, Vol.52, No 2, 2002, PP.103-115.
- Avanzini. G. and de Matteis, G., "Bifurcation Analysis of a Highly Augmented Aircraft Model," Journal of Guidance, Control, and Dynamics, Vol.20, No 4, 1997 , pp.754-759 .
- Ananthkrishnan, N. and Sudhakar, K., "Prevention of Jump in Inertia-Coupled Roll Maneuvers of Aircraft," Journal of Aircraft, Vol.31, No.4, 1994, pp.981- 983.
- Ananthkrishnan, N. and Sudhakar, K., "Characterization of Periodic Motions in Aircraft Lateral Dynamics," Journal of Guidance, Control, and Dynamics, Vol. 19, No.3, 1996, pp.680-685.
- Littleboy, D.M. and Smith, P.R., "Using Bifurcation Methods to Aid Nonlinear Dynamic Inversion Control Law Design," Journal of Guidance, Control, and Dynamics, Vol.21, No.4, 1998, pp.632-638.
- Chen, G., Moiola, J.L. andWang, H.O., "Bifulcation Control: Theories, Methods, and Applications," lnternational Journal of Bifurcation and Chaos, Vol. 10, No.3, 2000, pp.511-548.
- Ananthkrishnan, N. and Sinha, N.K., "Level Flight Trim and Stability Analysis Using Extended Bifurcation and Continuation Procedure," Journal of Guidance, Control, and Dynamics, Vol.24, No 6. 2001, pp.1225-1228.
- Ananthkrishnan, N., Bhat, S.P., Sinha, N.K. and Verma, A., "Methodology for Bifurcation Analysis of Nonlinear Aircraft Dynamics," Final ADA Pro1ect Report, Department of Aerospace Engineering, Indian Institute of Technology Bombay, Mumbai, India, July 2000.
- Pashilkar, A.A. and Pradeep, S., "Computation of Flight Mechanics Parameters using Continuation Techniques," Journal of Guidance, Control, and Dynamics, Vol.24, No.2, 2001, pp.324-329.
- Sinha, N.K., "Methodology for Bifurcation Analysis of Nonlinear Aircraft Dynamics in Constrained Flight," Applied Nonlinear Dynamics and Chaos Lab Report, ANDC-01-02, Department of Aerospace Engineering, Indian Institute of Technology Bombay, Mumbai, India, Sep. 2001.
- Patel, Y. and Littleboy, D., "Piloted Simulation Tools for Aircraft Departure Analysis," Philosophical Transactions of the Royal Society of London, Series A, Vol.356, No.1745,998, pp.2203-2221 .
- Lowenberg, M.H. and Patel, Y., "Use of Bifurcation Diagrams in Piloted Test Procedures," Aeronautical Journal, Vol. 104, May 2000, pp.225-235.
- Enns, D., Bugajski, D., Hendrick, R. and Stein, G., "Dynamic Inversion - An Evolving Methodology for Flight Control Design," International Journal of Control, Vol. 59, No.1, 1994, pp.71-91.
- Sahai, T., "Nonlinear Dynamics and Control of Aircraft Flight at High Angles of Attack," Applied Nonlinear Dynamics and Chaos Lab Report, ANDC- 01-03, Department of Aerospace Engineering, Indian Institute of Technology Bombay, Mumbai, India, Nov.200l.
- Chacksfield, J.E., "Multivariate Optimization Techniques and their Impact on the Aircraft Design Process," Progress in Aerospace Sciences, Vol.33,1997, pp.731- 757.
- Hajela, P., "Soft Computing in Multidisciplinary Aerospace Design - New Directions for Research'', Progress in Aerospace Sciences, Vol.38, 2002, pp.1-21.
References
Perkins, C. and Hage, R.E., "Airplane Performance, Stability, and Conrrol", John Wiley, New york, 1949.
McRuer, D., Ashkenas, I. and Graham, D., "Air.craft Dynamics and Automatic Control", Princeton University Press, Princeton, NJ, 1973.
Pamadi, B., "Performance, Stability, Dynamics, and Control of Airplanes", AIAA, Reston, VA, 1998.
Abzug, M.J., "Compurarional Flight Dynamics', (the title is, unfortunately, misleading, as this book only discusses computer programs for traditional flight dynamics analysis), AIAA, Reston, VA, 1998.
Carroll, J. V. and Mehra, R.K., "Bifurcation Analysis of Nonlineal Aircraft Dynamics," Journal of Guidance, Control. and Dynamics, Vol.5, No'5, 1982, pp.529-536.
Goman, M.G., Zagaynov, G.I. and Khramtsovsky, A.V., "Application of Bifurcation Methods to Nonlinear Flight Dynamics Problems," Progress in Aerospace Sciences, Vol.33, 1997, pp.539-586.
Sinha, N.K., "Application of Bifurcation Methods to Nonlinear Aircraft Dynamics," Journal of the Aeronautical Society of India, Vol.53, No 4, 2001, pp.253-270.
Ananthkrishnan, N., "Continuation and Bifurcation Methods Applied to Nonlinear Problems in Flight Dynamics," Ph.D. Thesis, Department of Aerospace Engineering, Indian Institute of Technology Bombay, Mumbai, India, Feb. 1994.
Guicheteau, P., "Bifurcation Theory: A Tool for Nonlinear Flight Dynamics, " Philosophical Transactions of the Royal Society of London, Series A, Vol.356, No. 1745, 1998, pp.2181-2201.
Macmillen, F.B.J. and Thompson, J.M.T.' "Bifurcation Analysis in the Flight Dynamics Design Process? A View from the Air-craft Industry," Philosophical Transactions of the Royal Society of London. Series A, Vo1.356, No 1745' 1998, pp.2321-2333.
Jahnke, C.C. and Culick, F.E.C., "Application of Bifurcation Theory to the High-Angle-of-Attack Dynamics of the F 14," Journal of Aircraft, Vol.31, No.1, 1994, pp.26-34.
Sinha, N.K., "Application of Bifurcation Methods to the F - 18 HARV Open - Loop Dynamics in Landing Configuration," Defence Science Journal, Vol.52, No 2, 2002, PP.103-115.
Avanzini. G. and de Matteis, G., "Bifurcation Analysis of a Highly Augmented Aircraft Model," Journal of Guidance, Control, and Dynamics, Vol.20, No 4, 1997 , pp.754-759 .
Ananthkrishnan, N. and Sudhakar, K., "Prevention of Jump in Inertia-Coupled Roll Maneuvers of Aircraft," Journal of Aircraft, Vol.31, No.4, 1994, pp.981- 983.
Ananthkrishnan, N. and Sudhakar, K., "Characterization of Periodic Motions in Aircraft Lateral Dynamics," Journal of Guidance, Control, and Dynamics, Vol. 19, No.3, 1996, pp.680-685.
Littleboy, D.M. and Smith, P.R., "Using Bifurcation Methods to Aid Nonlinear Dynamic Inversion Control Law Design," Journal of Guidance, Control, and Dynamics, Vol.21, No.4, 1998, pp.632-638.
Chen, G., Moiola, J.L. andWang, H.O., "Bifulcation Control: Theories, Methods, and Applications," lnternational Journal of Bifurcation and Chaos, Vol. 10, No.3, 2000, pp.511-548.
Ananthkrishnan, N. and Sinha, N.K., "Level Flight Trim and Stability Analysis Using Extended Bifurcation and Continuation Procedure," Journal of Guidance, Control, and Dynamics, Vol.24, No 6. 2001, pp.1225-1228.
Ananthkrishnan, N., Bhat, S.P., Sinha, N.K. and Verma, A., "Methodology for Bifurcation Analysis of Nonlinear Aircraft Dynamics," Final ADA Pro1ect Report, Department of Aerospace Engineering, Indian Institute of Technology Bombay, Mumbai, India, July 2000.
Pashilkar, A.A. and Pradeep, S., "Computation of Flight Mechanics Parameters using Continuation Techniques," Journal of Guidance, Control, and Dynamics, Vol.24, No.2, 2001, pp.324-329.
Sinha, N.K., "Methodology for Bifurcation Analysis of Nonlinear Aircraft Dynamics in Constrained Flight," Applied Nonlinear Dynamics and Chaos Lab Report, ANDC-01-02, Department of Aerospace Engineering, Indian Institute of Technology Bombay, Mumbai, India, Sep. 2001.
Patel, Y. and Littleboy, D., "Piloted Simulation Tools for Aircraft Departure Analysis," Philosophical Transactions of the Royal Society of London, Series A, Vol.356, No.1745,998, pp.2203-2221 .
Lowenberg, M.H. and Patel, Y., "Use of Bifurcation Diagrams in Piloted Test Procedures," Aeronautical Journal, Vol. 104, May 2000, pp.225-235.
Enns, D., Bugajski, D., Hendrick, R. and Stein, G., "Dynamic Inversion - An Evolving Methodology for Flight Control Design," International Journal of Control, Vol. 59, No.1, 1994, pp.71-91.
Sahai, T., "Nonlinear Dynamics and Control of Aircraft Flight at High Angles of Attack," Applied Nonlinear Dynamics and Chaos Lab Report, ANDC- 01-03, Department of Aerospace Engineering, Indian Institute of Technology Bombay, Mumbai, India, Nov.200l.
Chacksfield, J.E., "Multivariate Optimization Techniques and their Impact on the Aircraft Design Process," Progress in Aerospace Sciences, Vol.33,1997, pp.731- 757.
Hajela, P., "Soft Computing in Multidisciplinary Aerospace Design - New Directions for Research'', Progress in Aerospace Sciences, Vol.38, 2002, pp.1-21.