On Optimum Truss Layout by a Homogenization Method

Abstract

A new approach to the truss layout optimization problem is possible by using homogenization theory. Unlike traditional methods for optimization of truss topology, the new method does not require that the set of admissible connecting points be defined a-priori. This represents a great advantage over other strategies, which may inadvertently exclude optimum solutions by prescribing a set of connecting points that is inconsistent with the optimum connectivity. The homogenization approach, however, is based on the solution of the equations of plane elasticity over a two dimensional domain and its solutions are only truss-like structures. The relationship between these solutions and optimum truss structures is examined.