Structural design considering the uncertainty of load positions using the phase field design method

Seunghwan Jeong, Hong Kyoung Seong, Cheol Woong Kim, Jeonghoon Yoo

Research output: Contribution to journalArticle

Abstract

Ordinary topology optimization methods generate a result that is effective only for a specific load position. However, loads are often applied at many uncertain positions rather than at a specific location in most structures. For stability of the structure, it is desirable to guarantee a small amount of structural compliance despite the uncertainty of the load position. In this study, a topology optimization method is proposed to minimize the variation of compliance and its magnitude considering the uncertainty due to the wide range of load locations changes. The mean and the variance of the design objective, i.e., the compliance for each load case at various positions, are directly incorporated into a multi-objective optimization problem so that a similar degree of compliance can be obtained for the entire load case. The phase field design method is used as a topology optimization scheme in conjunction with the finite element method for structural compliance analysis. The reaction-diffusion equation combined with the double well potential functions is employed as the update scheme. Numerical examples for cantilever beam and MBB beam design are presented to demonstrate the validity of the proposed method.

Original languageEnglish
Pages (from-to)1-15
Number of pages15
JournalFinite Elements in Analysis and Design
Volume161
DOIs
Publication statusPublished - 2019 Sep 1

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Structural Design
Phase Field
Structural design
Design Method
Compliance
Shape optimization
Uncertainty
Topology Optimization
Optimization Methods
Cantilever beams
Double-well Potential
Multiobjective optimization
Cantilever Beam
Multiobjective Optimization Problems
Potential Function
Reaction-diffusion Equations
Finite element method
Update
Finite Element Method
Entire

All Science Journal Classification (ASJC) codes

  • Analysis
  • Engineering(all)
  • Computer Graphics and Computer-Aided Design
  • Applied Mathematics

Cite this

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Structural design considering the uncertainty of load positions using the phase field design method. / Jeong, Seunghwan; Seong, Hong Kyoung; Kim, Cheol Woong; Yoo, Jeonghoon.

In: Finite Elements in Analysis and Design, Vol. 161, 01.09.2019, p. 1-15.

Research output: Contribution to journalArticle

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