NDLI: A New Approach for Simultaneous Shape and Topology Optimization Based on Implicit Topology Description Functions

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Guo, Xu Zhao, Kang Wang, Michael Yu
Copyright Year	2004
Abstract	In the present paper, a new approach for structural topology optimization based on implicit topology description function (TDF) is proposed. TDF is used to describe the shape/topology of a structure, which is approximated in terms of the nodal values. Then a relationship is established between the element stiffness and the values of the topology description function on its four nodes. In this way and with some non-local treatments of the design sensitivities, not only the shape derivative but also the topological derivative of the optimal design can be incorporated in the numerical algorithm in a unified way. Numerical experiments demonstrate that by employing this approach, the computational efforts associated with TDF (and level set) based algorithms can be saved. Clear optimal topologies and smooth structural boundaries free from any sign of numerical instability can be obtained simultaneously and efficiently.
Sponsorship	Design Engineering Division and Computers and Information in Engineering Division
Starting Page	503
Ending Page	512
Page Count	10
File Format	PDF
ISBN	0791846946
DOI	10.1115/DETC2004-57302
e-ISBN	0791837424
Volume Number	Volume 1: 30th Design Automation Conference
Conference Proceedings	ASME 2004 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
Language	English
Publisher Date	2004-09-28
Publisher Place	Salt Lake City, Utah, USA
Access Restriction	Subscribed
Subject Keyword	Design Stiffness Shapes Topology Algorithms Optimization
Content Type	Text
Resource Type	Article

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