On structural optimization with aeroelasticity constraints

The optimal design of a cantilever wing in incompressible flow is considered. The wing is modelled as a full depth sandwich wing using finite element analysis. A doublet lattice panel method is used for computation of the unsteady aerodynamic loads. The weight of the wing is minimized using the thicknesses of the composite face sheets as design variables subject to constraints on flutter and divergence speed. Imperfection sensitivity of the final design is analysed and general aspects of imperfection sensitivity in optimization subject to aeroelasticity constraints are discussed in some detail.

[1]  W. Gutkowski,et al.  Minimum Weight Design of Structures under Nonconservative Forces , 1993 .

[2]  Nicholas I. M. Gould,et al.  On practical conditions for the existence and uniqueness of solutions to the general equality quadratic programming problem , 1985, Math. Program..

[3]  V. Stark.  General Equations of Motion for an Elastic Wing and Method of Solution , 1983 .

[4]  Raphael T. Haftka,et al.  Automated procedure for design of wing structures to satisfy strength and flutter requirements , 1973 .

[5]  Martin Goland,et al.  Principles of aeroelasticity , 1975 .

[6]  E. C. Yates.  Flutter and unsteady lift theory , 1971 .

[7]  V. Stark.  A flutter eigenvalue program based on the Newton-Raphson method , 1984 .

[8]  Raphael T. Haftka,et al.  Sensitivity of Discrete Systems , 1993 .

[9]  Stephen M. Batill,et al.  FASTOP: A Flutter and Strength optimization Program for Lifting-Surface Structures , 1977 .

[10]  I. Lottati,et al.  Flutter and divergence aeroelastic characteristics for composite forward swept cantilevered wing , 1985 .

[11]  Alexander P. Seyranian,et al.  Sensitivity Analysis of Multiple Eigenvalues , 1993 .

[12]  K. Svanberg,et al.  The Method of Moving Asymptotes (MMA) with Some Extensions , 1993 .

[13]  I. Duff,et al.  The factorization of sparse symmetric indefinite matrices , 1991 .

[14]  W. Rodden,et al.  A doublet-lattice method for calculating lift distributions on oscillating surfaces in subsonic flows. , 1969 .

[15]  T. A. Weisshaar,et al.  Aeroelastic tailoring - Theory, practice, and promise , 1984 .

[16]  K. Isogai.  Direct search method to aeroelastic tailoring of a composite wing under multiple constraints , 1989 .

[17]  Ulf Ringertz.  On the design of Beck's column , 1994 .

[18]  Torsten Bråmå.  The structural optimization system OPTSYS , 1993 .

[19]  Raphael T. Haftka,et al.  On repetitive flutter calculations in structural design , 1974 .

[20]  P. Gill,et al.  On the identification of local minimizers in inertia-controlling methods for quadratic programming , 1991 .