A new two-point approximation approach for structural optimization

The objective of this work is to build up a high-quality approximation scheme to realize computational savings for the solution of structural optimization problems. To this end, a newly developed two-point approximation scheme is proposed. This scheme is constructed by the linear combination of Tayl...

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Vydáno v:Structural and Multidisciplinary Optimization Ročník 20; číslo 1; s. 22 - 28
Hlavní autoři: Xu, G., Yamazaki, K., Cheng, G.D.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Berlin Springer Science and Business Media LLC 01.08.2000
Springer
Springer Nature B.V
Témata:
Approximation
Approximations and expansions
Exact sciences and technology
Function theory, analysis
Fundamental areas of phenomenology (including applications)
Mathematical methods in physics
Optimization
Physics
Solid mechanics
Static elasticity
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
Numerical approximation
Taylor series
Numerical method
Multipoint method
Structural analysis
Constrained optimization
ISSN:1615-147X, 1615-1488
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Abstract The objective of this work is to build up a high-quality approximation scheme to realize computational savings for the solution of structural optimization problems. To this end, a newly developed two-point approximation scheme is proposed. This scheme is constructed by the linear combination of Taylor expansions in terms of both original and reciprocal variables. The coefficients of the combination are determined by utilizing both the function and gradient information of two different design points obtained during the process of optimization. Based on this approach, the accuracy of the existing constraint approximation methods can be improved. The effectiveness of the proposed approach is demonstrated on a number of numerical examples. The numerical results are also compared with those of previously published work.
AbstractList The objective of this work is to build up a high-quality approximation scheme to realize computational savings for the solution of structural optimization problems. To this end, a newly developed two-point approximation scheme is proposed. This scheme is constructed by the linear combination of Taylor expansions in terms of both original and reciprocal variables. The coefficients of the combination are determined by utilizing both the function and gradient information of two different design points obtained during the process of optimization. Based on this approach, the accuracy of the existing constraint approximation methods can be improved. The effectiveness of the proposed approach is demonstrated on a number of numerical examples. The numerical results are also compared with those of previously published work.
Author Gengdong Cheng
G. Xu
Koetsu Yamazaki
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  surname: Cheng
  fullname: Cheng, G.D.
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CitedBy_id crossref_primary_10_1007_s00158_008_0304_x
crossref_primary_10_1016_j_cma_2007_09_014
crossref_primary_10_1007_s00158_014_1084_0
crossref_primary_10_2514_1_J056840
crossref_primary_10_1007_s00158_006_0070_6
crossref_primary_10_32604_cmes_2023_031538
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Keywords Numerical approximation
Taylor series
Numerical method
Multipoint method
Structural analysis
Constrained optimization
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SubjectTerms Approximation
Approximations and expansions
Exact sciences and technology
Function theory, analysis
Fundamental areas of phenomenology (including applications)
Mathematical methods in physics
Optimization
Physics
Solid mechanics
Static elasticity
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
Title A new two-point approximation approach for structural optimization
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