Open AccessA NON-GRADIENT APPROACH FOR THREE DIMENSIONAL TOPOLOGY OPTIMIZATION
Author(s) -
Minh Ngoc Nguyen,
Nha Thanh Nguyen,
Minh Tuan Tran
Publication year - 2021
Publication title -
vietnam journal of science and technology/science and technology
Language(s) - English
Resource type - Journals
eISSN - 2815-5874
pISSN - 2525-2518
DOI - 10.15625/2525-2518/59/3/14996
Subject(s) - topology optimization , interpolation (computer graphics) , minification , sensitivity (control systems) , topology (electrical circuits) , filter (signal processing) , checkerboard , isotropy , mathematics , mathematical optimization , extension (predicate logic) , function (biology) , computer science , geometry , finite element method , engineering , physics , artificial intelligence , structural engineering , motion (physics) , combinatorics , quantum mechanics , electronic engineering , evolutionary biology , computer vision , biology , programming language
The present work is devoted to the extension of the non-gradient approach, namely Proportional Topology Optimization (PTO), for compliance minimization of three-dimensional (3D) structures. Two schemes of material interpolation within the framework of the solid isotropic material with penalization (SIMP), i.e. the power function and the logistic function are analyzed. Through a comparative study, the efficiency of the logistic-type interpolation scheme is highlighted. Since no sensitivity is involved in the approach, a density filter is applied instead of sensitivity filter to avoid checkerboard issue