A MATLAB code for topology optimization using the geometry projection method

Abstract

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.

Document Details

Document Type
Pub Defense Publication
Publication Date
Mar 23, 2020
Source ID
10.1007/s00158-020-02552-0

Entities

People

  • Hollis Smith
  • Julián A. Norato

Organizations

  • Office of Naval Research

Tags

Fields of Study

  • Engineering

Readers

  • Computational Fluid Dynamics (CFD)
  • Database Systems and Applications
  • Graph Algorithms and Convex Optimization.