Computational science

Algorithm

Engineering

Philosophy

MATLAB

Biology

Projection method

Set (abstract data type)

Parallel computing

Computer science

Mathematical optimization

Simple (philosophy)

Projection (relational algebra)

Code (set theory)

Vectorization (mathematics)

Genetics

Finite element method

Mathematics

Image (mathematics)

Epistemology

Topology optimization

Dykstra's projection algorithm

Minification

Artificial intelligence

Combinatorics

Structural engineering

Programming language

Topology (electrical circuits)

Projection plane

Modularity (biology)

Structural and Multidisciplinary Optimization

This work introduces a MATLAB code to perform the topology optimization of structures made of bars using the geometry projection method. The primary objective of this code is to make available to the structural optimization community a simple implementation of the geometry projection method that illustrates the formulation and makes it possible to easily and efficiently reproduce results. A guiding principle in writing the code is modularity, so that researchers can easily modify the program for their own purposes. Another goal is efficiency, for which extensive use of vectorization is made. This paper details the formulation of the geometry projection, discusses implementation aspects of the code, and demonstrates some of its capabilities by presenting several 2D and 3D compliance minimization examples.

A MATLAB code for topology optimization using the geometry projection method