Reliability analysis for performance of eigenmode homology design by means of convex model

摘要

A method is proposed to estimate reliability of homology design in the form of sensitivity with respect to the uncertainties involved in the structural system under consideration. The uncertainties are supposed to be confined to convex domain of the uncertainty variables taken. The worst case of an error index devised to evaluate the degree of disturbed homologous deformation is estimated with respect to the convex model of the uncertainties, and is related to the expanse of the convex hull for the purpose of the sensitivity analysis of the design reliability. The validity of the proposed method is verified and exemplified by a numerical example concerned with bending vibration of a planar lattice frame analyzed by the finite element method, in which uncertain boundary conditions are taken into account.