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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Bibliographic Details
Published in:Structural and Multidisciplinary Optimization Vol. 20; no. 1; pp. 22 - 28
Main Authors: Xu, G., Yamazaki, K., Cheng, G.D.
Format: Journal Article
Language:English
Published: Berlin Springer Science and Business Media LLC 01.08.2000
Springer
Springer Nature B.V
Subjects:
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
Online Access:Get full text
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Summary: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.
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ISSN:1615-147X
1615-1488
DOI:10.1007/s001580050132