Topology optimization of continuum structures for natural frequencies considering casting constraints. Issue 6 (3rd June 2019)

• Record Type: Journal Article
• Authors: Xu, Bin; Han, Yong Sheng; Zhao, Lei; Xie, Yi Min
• Is Part Of: Engineering optimization. Volume 51:Issue 6(2019)
• Page Start: 941
• Page End: 960
• Publication Date: 2019-06-03
• Subjects: Topology optimization -- natural frequency -- BESO method -- casting constraints -- manufacturability; Engineering design -- Periodicals; Mathematical optimization -- Periodicals; 620.0042
• DOI: 10.1080/0305215X.2018.1506771
• Languages: English
• ISSNs: 0305-215X

Abstract

ABSTRACT: A method for the topology optimization on the natural frequency of continuum structures with casting constraints is proposed. The objective is to maximize the natural frequency of vibrating continuum structures subject to casting constraints. When the natural frequencies of the considered structures are maximized using the solid isotropic material with penalization (SIMP) model, artificial localized modes may occur in areas where elements are assigned with lower density values. In this article, the topology optimization is performed by the bi-directional evolutionary structural optimization (BESO) method. The effects of different locations of concentrated lump mass, different volume fractions and meshing sizes on the final topologies are compared. Both two and four parting directions are investigated. Several two- and three-dimensional numerical examples show that the proposed BESO method is effective in achieving convergent solid–void optimal solutions for a variety of frequency optimization problems of continuum structures.