Second-order shape design sensitivity using P-version finite element analysis

H.-Y HWANG; K. K CHOI; K.-H CHANG

doi:10.1007/BF01812510

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Second-order shape design sensitivity using P-version finite element analysis

Journal article

Peer reviewed

Second-order shape design sensitivity using P-version finite element analysis

H.-Y HWANG, K. K CHOI and K.-H CHANG

Structural optimization, Vol.14(2-3), pp.91-99

1997

DOI: 10.1007/BF01812510

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Abstract

Thep-version finite element analysis (FEA) approach is attractive for design sensitivity analysis (DSA) and optimization due to its high accuracy of analysis results, even with coarse mesh; insensitivity to finite element mesh distortion and aspect ratio; and tolerance for large shape design changes during design iterations. A continuum second-order shape DSA formulation is derived and implemented usingp-version FEA. The second-order shape design sensitivity can be used for reliability based analysis and design optimization by incorporating it with the second-order reliability analysis method (SORM). Both the second-order shape DSA formulations with respect to the single and mixed shape design parameters are derived for elastic solids using the material derivative concept. Both the direct differentiation and hybrid methods are presented in this paper. A shape DSA is implemented by using an establishedp-version FEA code, STRESS CHECK. Two numerical examples, a connecting rod and bracket, are presented to demonstrate the feasibility and accuracy of the proposed seond-order shape DSA approach.

Solid Mechanics

Applied Sciences

Physics

Machine components

Fundamental areas of phenomenology (including applications)

Structural and continuum mechanics

Mechanical engineering. Machine design

Exact sciences and technology

General

Static elasticity (thermoelasticity...)

Static elasticity

Details

Title: Subtitle: Second-order shape design sensitivity using P-version finite element analysis
Creators: H.-Y HWANG - Center for Computer-Aided Design and Department of Mechanical Engineering, College of Engineering, The University of Iowa, Iowa City, IA 52245, United States
K. K CHOI - Center for Computer-Aided Design and Department of Mechanical Engineering, College of Engineering, The University of Iowa, Iowa City, IA 52245, United States
K.-H CHANG - Center for Computer-Aided Design and Department of Mechanical Engineering, College of Engineering, The University of Iowa, Iowa City, IA 52245, United States
Resource Type: Journal article
Publication Details: Structural optimization, Vol.14(2-3), pp.91-99
Publisher: Springer; Berlin
DOI: 10.1007/BF01812510
ISSN: 0934-4373
eISSN: 1436-2503
Language: English
Date published: 1997
Academic Unit: Mechanical Engineering
Record Identifier: 9984064210202771

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