Geometric sensitivity of statically determinate planar truss families

Abstract

We define a truss family T_i by a statically determinate truss T₀ and a recursive step T_i+1=f(T_i), such that T_i+1T_i and that step  f(T_i) keeps static determinacy. Such recursive algorithms have been broadly discussed in the literature, e.g. the Henneberg operation 1 is a well-known example. Earlier we introduced the concept of geometric sensitivity index r^g of trusses, here we investigate the sensitivity of truss families, in particular, the limit sensitivity (T_i).