University of Illinois Urbana-Champaign

New approach to variable-topology shape design using constraint on perimeter

Haber, Robert B.; Jog, Chandrashekhar S.; Bendsoe, Martin P.

Permalink

https://hdl.handle.net/2142/112514

Description

Title
New approach to variable-topology shape design using constraint on perimeter
Author(s)
  • Haber, Robert B.
  • Jog, Chandrashekhar S.
  • Bendsoe, Martin P.
Issue Date
1996-02
Keyword(s)
  • Variable-topology Shape Design
  • Perimeter Method
Abstract
This paper introduces a method for variable-topology shape optimization of elastic structures called the perimeter method. An upper-bound constraint on the perimeter of the solid part of the structure ensures a well-posed design problem. The perimeter constraint allows the designer to control the number of holes in the optimal design and to establish their characteristic length scale. Finite element implementations generate practical designs that are convergent with respect to grid refinement. Thus, an arbitrary level of geometric resolution can be achieved, so single-step procedures for topology design and detailed shape design are possible. The perimeter method eliminates the need for relaxation, thereby circumventing many of the complexities and restrictions of other approaches to topology design.
Publisher
Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report Name or Number
  • TAM R 815
  • 1996-6002
ISSN
0073-5264
Type of Resource
text
Language
eng
Permalink
http://hdl.handle.net/2142/112514
Sponsor(s)/Grant Number(s)
National Science Foundation 96/02; Danish Research Academy 96/02
Copyright and License Information
Copyright 1996 Board of Trustees of the University of Illinois

Owning Collections

Technical Reports - Theoretical and Applied Mechanics (TAM) PRIMARY
TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.