On Design Sensitivity in some Buckling Problems

LUIS A. GODOY

Buenos Aires

Congreso; MECOM - Buenos Aires; 2005

AMCA

Typical design sensitivity problems in composite materials are solved to investigate the sensitivity of the buckling load of a structure with respect to changes in design parameters, such as the angle of lamination of the composite or the volume ratio. Because design sensitivity problems can take any state as a reference state, this paper proposes to use two states to approximate sensitivity and thus cover the complete range of lamination angles between 0 and 180 degrees, together with a Hermite interpolation based on derivatives at the ends of the domain considered. The technique proves to be useful for low-order Hermite interpolation. The possibilities exceed the field of sensitivity in composites and can be applied to other problems. However, for high order Hermite interpolation it is shown that the solution beaks and leads to chaos.