R. Kaye et M. Heller, Investigation of shape optimization for the design of life extension options for an F/A-18 airframe FS 470 bulkhead, J STRAIN A, 35(6), 2000, pp. 493-505
Shape reworking and bonded reinforcement are two procedures available to ex
tend the fatigue life of cracked metallic aircraft components already in se
rvice. Typically for realistic applications, the design of reworks has been
undertaken through trial-and-error finite element analyses, guided by simp
lified analytical formulations, the aim being to achieve reduced stresses w
hile generally restricting the shape boundaries to circular and straight se
gments. In the present work, an automated sensitivity-based shape optimizat
ion procedure has been developed for the optimal design of free-form rework
s and bonded reinforcements and demonstrated through application to a reali
stic practical problem, the F/A-18 FS 470 bulkhead. Here, a least-squares o
bjective function written in terms of selected stress quantities is used to
gether with multiple basis shape vectors to specify allowable shape changes
. For the rework option, a unique optimal solution has been determined whic
h achieves a region of constant boundary hoop stress which is 27 per cent l
ess than for the nominal initial uncracked geometry, even though material r
emoval at the critical location is accounted for. Subsequently, for the bon
ded reinforcement analyses, two distinct optimal designs were determined co
rresponding to the case where either shear or peel stresses in the adhesive
layer are minimized. Both the shape of the adhesive layer and the reinforc
ement are allowed to vary, and significant improvements over a conventional
reinforcement design are obtained as assessed by the reduction in peak str
esses. These results indicate that the numerical shape optimization procedu
res presented can provide designs of reworks and bonded reinforcements, whi
ch offer significant improvements over standard designs.