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topology and layout optimization of discrete and continuum structuresThe basic features of the ground structure method for truss structure an continuum problems are described. Problems with a large number of potential structural elements are considered using the compliance of the structure as the objective function. The design problem is the minimization of compliance for a given structural weight, and the design variables for truss problems are the cross-sectional areas of the individual truss members, while for continuum problems they are the variable densities of material in each of the elements of the FEM discretization. It is shown how homogenization theory can be applied to provide a relation between material density and the effective material properties of a periodic medium with a known microstructure of material and voids.
Document ID
19930061432
Document Type
Conference Proceedings
Authors
Bendsoe, Martin P.
(Technical Univ. of Denmark, Lyngby, United States)
Kikuchi, Noboru
(Michigan Univ. Ann Arbor, United States)
Date Acquired
August 16, 2013
Publication Date
January 1, 1993
Subject Category
STRUCTURAL MECHANICS
Funding Number(s)
CONTRACT_GRANT: PHS-G2-R01-AR-34399-04
CONTRACT_GRANT: N00014-88-K-0637
CONTRACT_GRANT: NAG3-1160
Distribution Limits
Public
Copyright
Other