Direct optimization of uncertain structures based on degree of interval constraint violation

•An interval optimization model is proposed for optimizing uncertain structures.•A novel concept of the degree of interval constraint violation (DICV) is proposed.•DICV-based preferential guidelines are given for directly ranking design vectors.•Direct interval optimization algorithm is realized bas...

Celý popis

Uloženo v:
Podrobná bibliografie
Vydáno v:Computers & structures Ročník 164; s. 83 - 94
Hlavní autoři: Cheng, Jin, Liu, Zhenyu, Wu, Zhenyu, Tang, Mingyang, Tan, Jianrong
Médium: Journal Article
Jazyk:angličtina
Vydáno: Elsevier Ltd 01.02.2016
Témata:
Algorithms
Constrained interval optimization model
Degree of interval constraint violation
Design engineering
Direct interval ranking
Genetic algorithms
Intervals
Kriging model
Mathematical analysis
Mathematical models
Nested genetic algorithm
Optimization
Uncertain structure
Vectors (mathematics)
Degree of interval constraint violation
Uncertain structure
Kriging model
Direct interval ranking
Nested genetic algorithm
Constrained interval optimization model
ISSN:0045-7949, 1879-2243
On-line přístup:Získat plný text
Tagy: Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
Popis
Shrnutí:•An interval optimization model is proposed for optimizing uncertain structures.•A novel concept of the degree of interval constraint violation (DICV) is proposed.•DICV-based preferential guidelines are given for directly ranking design vectors.•Direct interval optimization algorithm is realized base on nested GA and Kriging.•Direct interval optimization algorithm yields better solutions than indirect ones. A constrained interval optimization model is proposed for the optimization of uncertain structures with their mechanical performance indices described as the objective and constraint functions of the design vector and interval uncertain parameters. Present indirect approaches for solving such interval optimization models by converting them into deterministic ones will result in the loss of uncertainty information and deviate from the original intention of realistically modeling engineering optimization problems. To overcome these shortcomings, a novel optimization algorithm is proposed for directly solving the nonlinear constrained interval optimization models based on a novel concept of the degree of interval constraint violation (DICV) and the DICV-based preferential guidelines. A nested genetic algorithm (GA) is developed to realize the direct interval ranking of various design vectors. The outer layer GA locates the optimal solution based on direct interval ranking. The inner layer GAs integrated with Kriging technique compute the intervals of the mechanical performance indices of every design vector in the current population of the outer layer GA. The validity and superiority of the proposed direct interval optimization algorithm was verified by three numerical examples. Finally, the proposed direct interval optimization method was applied to the optimization of the cone ring fixture with uncertain material properties in a large turbo generator aimed at moving its natural frequencies away from the exciting one. The results demonstrated its feasibility and effectiveness in optimizing practical engineering structures under uncertainties.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0045-7949
1879-2243
DOI:10.1016/j.compstruc.2015.11.006