Title: Analytical weight minimization of trusses using Cylindrical Algebraic Decomposition
Authors: Charalampakis AE, Chatzigiannelis IG
Type: Conference paper
Conference: 11th HSTAM International Congress on Mechanics
Venue: Athens, Greece
Date: 2016
Language: English

[abstract]

We present a method for the analytical evaluation of globally optimal solutions for the minimum weight design of trusses. The basis of the methodology is the Cylindrical Algebraic Decomposition (CAD) algorithm, in tandem with powerful symbolic computation for the discovery of stationary points. Certain final answers to well-known problems are produced, while future improvements in both the algorithm implementation and the computer capabilities may allow the solution of even more difficult problems. To the best of our knowledge, no similar attempt can be found in the literature.

[cite as]

Charalampakis AE, Chatzigiannelis IG. Analytical weight minimization of trusses using Cylindrical Algebraic Decomposition. Proc. 11th HSTAM International Congress on Mechanics, Athens, Greece; 2016.

[ paper]