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Proportional Topology Optimization: A New Non-Sensitivity Method for Solving Stress Constrained and Minimum Compliance Problems and Its Implementation in MATLAB

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  • Emre Biyikli
  • Albert C To

Abstract

A new topology optimization method called the Proportional Topology Optimization (PTO) is presented. As a non-sensitivity method, PTO is simple to understand, easy to implement, and is also efficient and accurate at the same time. It is implemented into two MATLAB programs to solve the stress constrained and minimum compliance problems. Descriptions of the algorithm and computer programs are provided in detail. The method is applied to solve three numerical examples for both types of problems. The method shows comparable efficiency and accuracy with an existing optimality criteria method which computes sensitivities. Also, the PTO stress constrained algorithm and minimum compliance algorithm are compared by feeding output from one algorithm to the other in an alternative manner, where the former yields lower maximum stress and volume fraction but higher compliance compared to the latter. Advantages and disadvantages of the proposed method and future works are discussed. The computer programs are self-contained and publicly shared in the website www.ptomethod.org.

Suggested Citation

  • Emre Biyikli & Albert C To, 2015. "Proportional Topology Optimization: A New Non-Sensitivity Method for Solving Stress Constrained and Minimum Compliance Problems and Its Implementation in MATLAB," PLOS ONE, Public Library of Science, vol. 10(12), pages 1-23, December.
    • Handle: RePEc:plo:pone00:0145041
    DOI: 10.1371/journal.pone.0145041
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    Cited by:

    1. Katarzyna Tajs-Zielińska & Bogdan Bochenek, 2021. "Multi-Domain and Multi-Material Topology Optimization in Design and Strengthening of Innovative Sustainable Structures," Sustainability, MDPI, vol. 13(6), pages 1-24, March.

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