Truss Structures with Uncertain Parameters - Geometrical Interpretation of the Solution based on Properties of Convex Sets

This paper addresses the problem of uncertain parameters in linear equations of truss structures. In general it is difficult to describe the appropriate fields within the space of displacements if uncertain parameters appears. The authors propose is to use the Minkowski sum of sets to describe appropriate displacements transferred to the space of loads. Instructive example is presented for a truss in 2D space of loads and displacements with three uncertain parameters.