Comparison of natural and geometric approaches for shape optimal design

Subramaniam Rajan, Lilik Gani

Research output: Chapter in Book/Report/Conference proceedingConference contribution

8 Citations (Scopus)

Abstract

There are two distinct approaches to shape optimal design - the geometric approach where the design variables are geometric-related quantities such as coordinates of nodes, coefficients of polynomials or splines etc. and the natural approach where the deformation field produced by fictitious loads and specified displacements, is used for the shape and mesh updates. Both these approaches have their strengths and weaknesses. This paper presents the characteristics of these approaches, compares their performances and presents numerical examples that have been solved using both approaches.

Original languageEnglish (US)
Title of host publicationCollection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
PublisherPubl by AIAA
Pages196-205
Number of pages10
Editionpt 1
StatePublished - 1990
Event31st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. Part 3 (of 4): Structural Dynamics I - Long Beach, CA, USA
Duration: Apr 2 1990Apr 4 1990

Other

Other31st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. Part 3 (of 4): Structural Dynamics I
CityLong Beach, CA, USA
Period4/2/904/4/90

Fingerprint

Splines
Polynomials
Optimal design

ASJC Scopus subject areas

  • Architecture
  • Engineering(all)

Cite this

Rajan, S., & Gani, L. (1990). Comparison of natural and geometric approaches for shape optimal design. In Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference (pt 1 ed., pp. 196-205). Publ by AIAA.

Comparison of natural and geometric approaches for shape optimal design. / Rajan, Subramaniam; Gani, Lilik.

Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. pt 1. ed. Publ by AIAA, 1990. p. 196-205.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Rajan, S & Gani, L 1990, Comparison of natural and geometric approaches for shape optimal design. in Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. pt 1 edn, Publ by AIAA, pp. 196-205, 31st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. Part 3 (of 4): Structural Dynamics I, Long Beach, CA, USA, 4/2/90.
Rajan S, Gani L. Comparison of natural and geometric approaches for shape optimal design. In Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. pt 1 ed. Publ by AIAA. 1990. p. 196-205
Rajan, Subramaniam ; Gani, Lilik. / Comparison of natural and geometric approaches for shape optimal design. Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. pt 1. ed. Publ by AIAA, 1990. pp. 196-205
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