On Design Sensitivity In Some Buckling Problems.

Abstract

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.