A computational study of symmetry and well-posedness of structural topology optimization

• Published in: Structural and multidisciplinary optimization Vol. 59; no. 3; pp. 759 - 766
• Main Authors: White, Daniel A., Voronin, Alexey
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.03.2019; Springer Nature B.V
• Subjects: Additive manufacturing; Advanced manufacturing technologies; Boundary conditions; Compliance; Computational Mathematics and Numerical Analysis; Critical point; Design optimization; Engineering; Engineering Design; Engineers; Modulus of elasticity; Partial differential equations; Perturbation; Research Paper; Software; Symmetry; Theoretical and Applied Mechanics; Topology optimization; Well posed problems; Bifurcation; Well-posed; Structures; Topology; Optimization

We are concerned with the computational topological optimization of elastic structures, in particular minimization of compliance subject to a constraint on the mass. Through computational experiments, it is discovered that even very simple optimization problems can exhibit complex behavior such as c...