The application of drilling degree of freedom to checkerboards in structural topology optimization. (May 2017)

• Record Type: Journal Article
• Authors: Balogh, B.; Lógó, J.
• Is Part Of: Advances in engineering software. Volume 107(2017)
• Page Start: 7
• Page End: 12
• Publication Date: 2017-05
• Subjects: Topology optimization -- Optimality criteria -- Checkerboard -- Drilling -- Allman -- Micropolar; Computer-aided engineering -- Periodicals; Engineering -- Computer programs -- Periodicals; Engineering -- Software -- Periodicals; Periodicals; 620.0028553
• DOI: 10.1016/j.advengsoft.2017.02.005
• Languages: English
• ISSNs: 0965-9978

Abstract

Highlights: Demonstrate a new way for avoiding the development of checkerboard patterns in structural topology optimization. Apply an additional in-plane rotational DOF in topology optimization. Compare different formulations for the drilling degree of freedom. Uses micro-continuum theory to avoid checkerboards. Abstract: The subject of the paper is to investigate a new way for avoiding the development of checkerboard patterns in structural topology optimization, using an additional in-plane rotational freedom. The efficiency of a few, from the many existing formulations, with differing complexity are put into comparison, such as the standard 4 noded bilinear element, the Allman-type solution, the shell element from SAP2000 and finally an element constructed on the basis of micropolar theory. Since the emergence of checkerboarded regions is a general phenomenon, the optimization problem is as simple as possible, being a weight minimization with a compliance constraint, solved with the optimality criteria method and a FEM discretization of the design domain.