On the relationship between optimum structural topologies and geometries

U Kirsch

doi:10.1007/BF01743519

On the relationship between optimum structural topologies and geometries

U Kirsch

Research output: Contribution to journal › Article › peer-review

35 Citations (Scopus)

Abstract

The relationship between two optimal design problems is investigated: (a) The fixed geometry problem, where the topology is optimized for a predetermined geometry. (b) The fixed topology problem, where the geometry is optimized for a given topology. Assuming approximate linear programming formulations, conditions of optimality are derived and geometries of multiple optimal topologies are studied. Some considerations related to a general design procedure for optimization of topology, geometry and cross-sections are discussed. © 1990 Springer-Verlag.

Original language	English
Pages (from-to)	39-45
Number of pages	7
Journal	Structural Optimization
Volume	2
Issue number	1
DOIs	https://doi.org/10.1007/BF01743519
Publication status	Published - Mar 1990

Access to Document

10.1007/BF01743519

Cite this

@article{c302ad8298c847909d40d606a2766b33,

title = "On the relationship between optimum structural topologies and geometries",

abstract = "The relationship between two optimal design problems is investigated: (a) The fixed geometry problem, where the topology is optimized for a predetermined geometry. (b) The fixed topology problem, where the geometry is optimized for a given topology. Assuming approximate linear programming formulations, conditions of optimality are derived and geometries of multiple optimal topologies are studied. Some considerations related to a general design procedure for optimization of topology, geometry and cross-sections are discussed. {\textcopyright} 1990 Springer-Verlag.",

author = "U Kirsch",

year = "1990",

month = mar,

doi = "10.1007/BF01743519",

language = "English",

volume = "2",

pages = "39--45",

journal = "Structural Optimization",

issn = "0934-4373",

publisher = "Springer",

number = "1",

}

TY - JOUR

T1 - On the relationship between optimum structural topologies and geometries

AU - Kirsch, U

PY - 1990/3

Y1 - 1990/3

N2 - The relationship between two optimal design problems is investigated: (a) The fixed geometry problem, where the topology is optimized for a predetermined geometry. (b) The fixed topology problem, where the geometry is optimized for a given topology. Assuming approximate linear programming formulations, conditions of optimality are derived and geometries of multiple optimal topologies are studied. Some considerations related to a general design procedure for optimization of topology, geometry and cross-sections are discussed. © 1990 Springer-Verlag.

AB - The relationship between two optimal design problems is investigated: (a) The fixed geometry problem, where the topology is optimized for a predetermined geometry. (b) The fixed topology problem, where the geometry is optimized for a given topology. Assuming approximate linear programming formulations, conditions of optimality are derived and geometries of multiple optimal topologies are studied. Some considerations related to a general design procedure for optimization of topology, geometry and cross-sections are discussed. © 1990 Springer-Verlag.

UR - http://www.scopus.com/inward/record.url?scp=0002469736&partnerID=8YFLogxK

U2 - 10.1007/BF01743519

DO - 10.1007/BF01743519

M3 - Article

SN - 0934-4373

VL - 2

SP - 39

EP - 45

JO - Structural Optimization

JF - Structural Optimization

IS - 1

ER -

On the relationship between optimum structural topologies and geometries

Abstract

Access to Document

Other files and links

Fingerprint

Cite this