I. Herszberg et M. Karpel, FLUTTER SENSITIVITY ANALYSIS USING RESIDUALIZATION FOR ACTIVELY CONTROLLED FLIGHT VEHICLES, Structural optimization, 12(4), 1996, pp. 229-236
Analytical expressions for the derivatives of structural dynamics and
control design criteria, with respect to structural and control design
variables are extended to deal with residualized aeroservoelastic mod
els. The mathematical model considered is a first-order time domain fe
edback system subject to model size reduction by means of dynamic resi
dualization. The structure is represented by a number of structural vi
bration modes and the aerodynamics by minimum-state rational approxima
tion functions. The MIMO control system couples control surface motion
to the response of motion sensors located on the structure. In the op
timum design process for aeroservoelastic systems, considerable comput
ation time is spent on calculating the derivatives that define the sen
sitivity to design changes. The extended formulation and new technique
s of this work make their calculation more efficient and further enhan
ce multidisciplinary on-line studies. A realistic numerical example of
the optimal design of an aeroservoelastic system comprising a carbon-
composite wing with four control surfaces is used to assess the perfor
mance of this method.