Optimal design of truss structure by means of algorithmic design

(An approach based on nodal positional differentiation of stiffness matrix)

Abstract

An algorithmic design is a shape design approach that takes advantage of elegant geometry generated by mathematical functions or numerical algorithms. In the current study, an optimal design approach of truss structure based on an algorithmic design is discussed. For the sake of efficient calculation, we conduct a gradient-based procedure. Nodal displacement due to a given nodal force is adopted as the objective function. The nodal positional differentiation of stiffness matrix, that is given in the previous work, is applied to the calculation of the gradient. Example designs of truss structure are conducted; the feasibility and characteristics of the proposed approach are discussed based on the obtained optimal designs.