Non-probabilistic optimization model of engineering structures with dependent interval variables

Guan, Bobin; Wan, Min; Wu, Xiangdong; Cui, Xuexi; Zhou, Bingying

doi:10.1016/j.apm.2021.09.030

Cited by 9 publications

(4 citation statements)

References 27 publications

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“…Equation (11) indicates that a span of 200 m is the maximum span; if the span w is smaller, the Cost is larger. Therefore, the cost evaluation criteria to establish a mathematical model is as follows:…”

Section: Cost Of Constructionmentioning

confidence: 99%

“…To address this, many studies now integrate custom optimization algorithms into structural analysis software for comprehensive structural optimization. Guan, B. et al [11] proposed a non-probabilistic optimization model considering the correlation of uncertainties and established a direct solution framework that integrates a response surface model, interval analysis, and a genetic algorithm. In a study of the structural optimization of an integrated cooling system for a dome house, Mirzazade Akbarpoor, A et al [12] carried out a 3D simulation analysis using ANSYS 19.0 FLUENT software with MATLAB 2016a modeling to explore the performance of the system as affected by geometrical and environmental parameters.…”

Section: Introductionmentioning

confidence: 99%

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Modeling and Optimization of the Air-Supported Membrane Coal Shed Structure in Ports

Dong,

Zhang,

Tang

et al. 2024

JMSE

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The air-supported membrane coal shed is widely used in bulk cargo terminals. It not only effectively protects goods from adverse weather conditions but also helps reduce coal dust and harmful gas emissions, promoting the green and sustainable development of ports. However, in practical engineering, the design parameters of the coal shed are often based on experience, making it difficult to accurately assess the quality of the structural design. The flexibility of the membrane material also makes the structure susceptible to deformation or tearing. This paper mainly focuses on modeling and solving the optimization design issues of air-supported membrane coal shed structures. According to the evaluation criteria for the form of air-supported membrane coal sheds, a multi-objective structural optimization model is established to minimize the maximum stress on the membrane surface, ensure uniform stress distribution, maximize structural stiffness, and minimize costs. The study utilizes a combined optimization approach using ANSYS 19.0 and MATLAB 2016a, incorporating an improved NSGA-II algorithm program developed in MATLAB into ANSYS for structural form analysis and load calculation. The research results indicate that the optimal solution reduces the maximum stress on the loaded membrane surface by 5.36%, shortens the maximum displacement by 30.3%, and saves on economic costs by 9.85%. Compared to traditional empirical design methods, the joint use of MATLAB and ANSYS for optimization design can provide more superior solutions, helping ports to achieve environmental protection and economic efficiency goals.

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Section: Cost Of Constructionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Modeling and Optimization of the Air-Supported Membrane Coal Shed Structure in Ports

Dong,

Zhang,

Tang

et al. 2024

JMSE

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“…Based on the optimized parametric interval analysis, 27,28 Doinh-cong et al 29 used the lightning attachment procedure optimization to analyze the static structure with uncertain parameters. Guan et al 30 proposed a non-probabilistic optimization model that considered the correlation of uncertain parameters. The model describes uncertainty using a multidimensional parallelepiped model 31 and combines interval analysis with genetic algorithms.…”

Section: Introductionmentioning

confidence: 99%

A novel univariate dimension‐reduction based interval finite element method for static response prediction of uncertain structures

Zhao

Feng

et al. 2023

Numerical Meth Engineering

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To eliminate the errors caused by the conventional interval perturbation finite element method due to classic interval arithmetic and neglect of higher-order terms, we propose a novel univariate dimension-reduction based interval finite element method to predict the static response bounds of structures with uncertain but bounded parameters. First, a univariate dimension-reduction algorithm is derived using the generalized Taylor expansion. The global stiffness matrix is expressed as the sum of the median and the univariate disturbance radius. Compared with Taylor expansion approximation, the univariate dimension-reduction approximation has higher accuracy and does not increase the amount of calculation. Then the inverse of the interval global stiffness matrix is approximated as an improved Neumann series. Higher-order terms are included by summing up the geometric terms in the Neumann series. Finally, the improved interval algorithm is used to solve the upper and lower bounds of the structural displacement response and the element stress response. The dependence between the interval parameters is accounted in comparison with the classic interval algorithm. The accuracy and effectiveness of the new method are validated by numerical cases on 2D truss, 3D frame and truck frame with multiple interval parameters.

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“…In this method, they divided the design vectors by the tridimensional violation vectors of interval constraints, and further obtained the optimal solution through the proposed robust equilibrium strategy. Besides, considering the multi-source uncertainties in engineering, the scholars proposed optimization methods under correlated uncertainties, which converted the dependent uncertain variables into the independent ones [13][14][15]. With the development of interval optimization theory, scholars further combined interval optimization with reliability analysis and applied them into engineering structural design.…”

Section: Introductionmentioning

confidence: 99%

Reliability-based Design Optimization of Structures with Disturbed Design Variables and Dependent Uncertainties

Guan

Wan

2022

J. Phys.: Conf. Ser.

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To ensure the safety of engineering structures under disturbed design variables and dependent uncertainties, a new reliability-based design optimization method was proposed in this paper. The optimization model was firstly established by adding the additional constraints that considers the disturbance of design variables. Then, the multidimensional parallelepiped model was used to describe the uncertainties and to further process their correlation. Further, the structural reliability was analyzed by interval analysis and reliability-based possibility degree of interval model. Finally, the solving algorithm was constructed. Such the algorithm was applied to a numerical example and the structural design of augmented reality glasses, among which the former demonstrated the effectiveness of proposed algorithm in dealing with disturbance of design variables and correlation between uncertainties, while the latter showed the applicability of the algorithm in engineering structural design.

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Non-probabilistic optimization model of engineering structures with dependent interval variables

Cited by 9 publications

References 27 publications

Modeling and Optimization of the Air-Supported Membrane Coal Shed Structure in Ports

Modeling and Optimization of the Air-Supported Membrane Coal Shed Structure in Ports

A novel univariate dimension‐reduction based interval finite element method for static response prediction of uncertain structures

Reliability-based Design Optimization of Structures with Disturbed Design Variables and Dependent Uncertainties

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