Order reduction of state-space aeroelastic models using optimal modal analysis

Journal of Aircraft

Volumn 41, Issue 6, 2004, Pages 1440-1448

  Kim, Taehyoun ^a,b   Nagaraja, Kanivenahalli S ^a   Bhatia, Kumar G ^a  

^a BOEING COMPANY   (United States)

^b MS 03 KR   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; DYNAMIC LOADS; FEEDBACK; FREQUENCY DOMAIN ANALYSIS; FREQUENCY RESPONSE; GALERKIN METHODS; MODAL ANALYSIS; STATE SPACE METHODS;

DYNAMIC PRESSURE; KARHUNEN-LOEVE METHOD; OPTIMAL MODAL ANALYSIS; RATIONAL FUNCTION APPROXIMATION (RFA);

AERODYNAMICS;

EID: 10944233710     PISSN: 00218669     EISSN: 15333868     Source Type: Journal    
DOI: 10.2514/1.14430     Document Type: Article

References (14)

1. Roger, K. L., "Airplane Math Modeling Methods for Active Control Design," Structural Aspects of Active Controls, AGARD-CP-228, Aug. 1977, pp. 4.1-4.11.
2. Karpel, M., "Design for the Active Flutter Suppression and Gust Alleviation Using State-Space Aeroelastic Modeling," Journal of Aircraft, Vol. 19, No. 3, 1982, pp. 221-227.
3. Karpel, M., and Hoadly, S. T., "Physically Weighted Approximations of Unsteady Aerodynamic Forces Using the Minimum-State Method," NASA TP-3025, 1991.
4. Mujumdar, P. M., and Balan, N., "Multiple Order Pole Pure Lag Rational Function Approximations for Unsteady Aerodynamics," Journal of Aircraft, Vol. 32, No. 2, 1995, pp. 334-342.
5. Heimbaugh, R. M., "Flight Controls Structural Dynamics IRAD," McDonnell Douglas Rept. MDC-J2303, March 1983.
6. Winther, B. A., Goggin, P. J., and Dykman, J. R., "Reduced Order Dynamic Aeroelastic Model Development and Integration with Nonlinear Simulation," Journal of Aircraft, Vol. 37, No. 5, 2000, pp. 833-839.
7. Dowell, E. H., Hall, K. C., and Romanowski, M. C., "Eigenmode Analysis in Unsteady Aerodynamics; Reduced-Order Models," Applied Mechanics Review, Vol. 50, No. 6, 1997, pp. 371-386.
8. Kim, T., "Frequency-Domain Karhunen-Loeve Method and Its Application to Linear Dynamic Systems," AIM Journal, Vol. 36, No. 11, 1998, pp. 2117-2123.
9. Breuer, K. S., and Sirovich, L., "The Use of the Karhunen-Loeve Procedure for the Calculation of Linear Eigenfunctions," Journal of Computational Physics, Vol. 96, No. 2, 1991, pp. 277-296.
10. Winter, M., Barber, T. J., Everson, R. M., and Sirovich, L., "Eigenfunction Analysis of Turbulent Mixing Phenomena," AIAA Journal, Vol. 30, No. 7, 1992, pp. 1681-1688.
11. Kim, T., "An Efficient Response-Based Modal Analysis for Dynamic Systems with Multiple Inputs," AIAA Paper 2001-1380, April 2001.
12. Nicot, Ph., and Patiau, C., "Aeroelastic Analysis Using Finite Element Models," Proceedings of the European Forum on Aeroelasticity and Structural Dynamics, Aachen, Germany, April 1989.
13. Maciejowski, J. M., Multivariable Feedback Design, Addison Wesley, Longman, Reading, MA, 1989, Chap. 5.
14. Athans, M., and Levine, W. S., "On the Determination of the Optimal Constant Output Feedback Gains for Linear Multivariable Systems," IEEE Transactions on Automatic Control, Vol. 15, No. 1, 1970, pp. 44-48.