Handling of constraints in efficient global optimization
作者：
Wang, Hu* ;Hu, Wei;Li, Enying
期刊：
INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS ,2021年18(2):2050033 ISSN：0219-8762
通讯作者：
Wang, Hu
作者机构：
[Wang, Hu; Hu, Wei] Hunan Univ, State Key Lab Adv Design & Mfg Vehicle Body, Changsha 410082, Peoples R China.;[Wang, Hu; Hu, Wei] Joint Ctr Intelligent New Energy Vehicle, Shanghai 201804, Peoples R China.;[Li, Enying] Cent South Univ Forestry & Technol, Coll Mech & Elect Engn, Changsha 41004, Peoples R China.
通讯机构：
[Wang, Hu] H;[Wang, Hu] J;Hunan Univ, State Key Lab Adv Design & Mfg Vehicle Body, Changsha 410082, Peoples R China.;Joint Ctr Intelligent New Energy Vehicle, Shanghai 201804, Peoples R China.
关键词：
Benchmarking;Global optimization;Interpolation;Least squares approximations;Support vector regression;Constrained algorithms;Constrained function;Efficient global optimization;Engineering applications;Least squares support vector regression;Multi-disciplinary optimizations;Multiple constraint;Parallel Computation;Constrained optimization
摘要：
Although the Efficient Global Optimization (EGO) algorithm has been widely used in multi-disciplinary optimization, it is still difficult to handle multiple constraint problems. In this study, to increase the accuracy of approximation, the Least Squares Support Vector Regression (LSSVR) is suggested to replace the kriging model for approximating both objective and constrained functions while the variances of these surrogate models are still obtained by kriging. To enhance the ability to search the feasible region, two criteria are suggested. First, a Maximize Probability of Feasibility (MPF) strategy to handle the infeasible initial sample points is suggested to generate feasible points. Second, a Multi-Constraint Parallel (MCP) criterion is suggested for multiple constraints handling, parallel computation and validation, respectively. To illustrate the efficiency of the suggested EGO-based method, several deterministic benchmarks are tested and the suggested methods demonstrate a superior performance compared with two other constrained algorithms. Finally, the suggested algorithm is successfully utilized to optimize the fiber path of variable-stiffness beam and lightweight B-pillar to demonstrate the performance for engineering applications. © 2021 World Scientific Publishing Company.
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英文
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A surrogate assisted thermal optimization framework for design of pin-fin heat sink for the platform inertial navigation system
作者：
Luo, Xin;Li, Enying;Wang, Hu*
期刊：
Engineering Optimization ,2021年53(1):145-164 ISSN：0305-215X
通讯作者：
Wang, Hu
作者机构：
[Wang, Hu; Luo, Xin] Hunan Univ, State Key Lab Adv Design & Mfg Vehicle Body, Changsha, Peoples R China.;[Li, Enying] Cent South Univ Forestry & Teleol, Coll Mech & Elect Engn, Changsha, Peoples R China.
通讯机构：
[Wang, Hu] H;Hunan Univ, State Key Lab Adv Design & Mfg Vehicle Body, Changsha, Peoples R China.
关键词：
Thermal optimization framework;pin-fin heat sink;global sensitivity analysis;DIRECT-KG-HDMR;steady thermal response
摘要：
In this study, a thermal optimization framework for the platform inertial navigation system (PINS) is built. To reduce the local high temperature of the PINS, a pin-fin heat sink with staggered arrangement is designed. To reduce the dimension of the inputs and improve the optimization efficiency, a feasible global sensitivity analysis (GSA) based on kriging–high-dimensional model representation with DIviding RECTangles (DIRECT-KG-HDMR) sampling strategy is proposed. According to the GSA results, the filtered structural parameters are used to optimize the thermal performance of the heat sink, and several optimization algorithms (genetic algorithm, differential evolution, teaching–learning-based optimization, particle swarm optimization and efficient global optimization) are used for optimization. The steady thermal response of the PINS with the optimized heat sink is also studied, and the result shows that the maximum temperature of the high-temperature region of the platform is reduced by 1.08°C compared with the PINS without the heat sink. © 2020 Informa UK Limited, trading as Taylor & Francis Group.
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英文
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An equivalent circuit model of a deformed Li-ion battery with parameter identification
作者：
Shuai, Wenquan;Li, Enying;Wang, Hu*
期刊：
International Journal of Energy Research ,2020年44(11):8372-8387 ISSN：0363-907X
通讯作者：
Wang, Hu
作者机构：
[Wang, Hu; Shuai, Wenquan] Hunan Univ, State Key Lab Adv Design & Mfg Vehicle Body, Changsha, Peoples R China.;[Li, Enying] Cent South Univ Forestry & Technol, Coll Mech Elect Engn, Changsha, Peoples R China.
通讯机构：
[Wang, Hu] H;Hunan Univ, State Key Lab Adv Design & Mfg Vehicle Body, Changsha, Peoples R China.
关键词：
Battery management systems;Charging (batteries);Circuit simulation;Deformation;Equivalent circuits;Evolutionary algorithms;Optimization;Parameter estimation;Timing circuits;Battery capacity;Battery surface temperatures;Circuit elements;Differential evolution algorithms;Electrical response;Equivalent circuit model;Pulse discharging;Thevenin models;Lithium-ion batteries
摘要：
A new equivalent circuit model (ECM) of a Li-ion battery is developed in this study. The developed model is utilized to obtain the dynamic electrical response of the battery when it is deformed under external force. Compared with other models, this model is developed based on a modified Thevenin model, and the parameters of the developed model are relevant to state of charge, the battery surface temperature, and the deformation. In this study, to obtain the real electrical response of the battery when it deformed under external force, batteries that are compressed by different deformations from 0 to 5 mm are studied with pulse discharging tests. Then, the parameters of the circuit elements are identified by a differential evolution algorithm based on the data obtained from these tests. Moreover, the data from the pulse discharging tests of batteries compressed by 3.5, 4.25, and 4.5 mm and the data from the pulse charging tests of batteries compressed by 0 and 1 mm are used to verify the parameters. The results illustrate that the battery capacity should drop significantly when the battery is severely deformed, but the battery still can be charged and discharged. Most importantly, the discharging curves of these tested deformed batteries are similar to those of undeformed ones. Moreover, the developed new ECM can predict the dynamic electrical response of a deformed battery accurately. © 2020 John Wiley & Sons Ltd
语种：
英文
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Space mapping-assisted optimization of a thin-walled honeycomb structure for battery packaging
作者：
Shuai, Wenquan;Li, Enying* ;Wang, Hu;Li, Yu
期刊：
Structural and Multidisciplinary Optimization ,2020年62(2):937-955 ISSN：1615-147X
通讯作者：
Li, Enying
作者机构：
[Shuai, Wenquan; Li, Enying] Cent South Univ Forestry & Technol, Coll Mech & Elect Engn, Changsha 41004, Peoples R China.;[Li, Yu; Wang, Hu; Shuai, Wenquan] Hunan Univ, State Key Lab Adv Design & Mfg Vehicle Body, Changsha 410082, Hunan, Peoples R China.;[Wang, Hu] Joint Ctr Intelligent New Energy Vehicle, Shanghai, Peoples R China.
通讯机构：
[Li, Enying] C;Cent South Univ Forestry & Technol, Coll Mech & Elect Engn, Changsha 41004, Peoples R China.
关键词：
Space mapping (SM);Thin-walled honeycomb structure;Li-ion battery package;Pseudo-plane-strain model
摘要：
A new thin-walled honeycomb structure for Li-ion battery packaging is designed and optimized in this study. Compared with other battery packaging structures, the designed honeycomb structure described here uses a grid to reinforce its strength. At the same time, the weight is reduced to improve the energy density of the entire package. Moreover, the new thin-walled structure can better protect the internal battery and improve the safety of an electric vehicle (EV). A space mapping (SM) algorithm is used to efficiently optimize the thin-walled honeycomb structure due to the expensive computational cost of each evaluation of a fine FE model. Compared with other SM algorithms, the coarse model of SM is based on a pseudo-plane-strain model. The result shows that the magnitude of stress and the distribution of stress are significantly improved compared with the initial structure. Moreover, the computational cost of optimization for the problem is also decreased significantly due to importing the coarse model.
语种：
英文
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An adaptive surrogate assisted differential evolutionary algorithm for high dimensional constrained problems
作者：
Li, Enying*
期刊：
Applied Soft Computing ,2019年85:105752 ISSN：1568-4946
通讯作者：
Li, Enying
作者机构：
[Li, Enying] Cent South Univ Forestry & Technol, Coll Mech & Elect Engn, Changsha 41004, Hunan, Peoples R China.
通讯机构：
[Li, Enying] C;Cent South Univ Forestry & Technol, Coll Mech & Elect Engn, Changsha 41004, Hunan, Peoples R China.
关键词：
Adaptive strategy;Differential evaluation;High dimensional problem;Surrogate assisted
摘要：
Differential evolution (DE) is a competitive algorithm for constrained optimization problems (COPs). In this study, in order to improve the efficiency and accuracy of the DE for high dimensional problems, an adaptive surrogate assisted DE algorithm, called ASA-DE is suggested. In the ASA, several kinds of surrogate modeling techniques are integrated. Furthermore, to avoid violate the constraints and obtain better solution simultaneously, adaptive strategies for population size and mutation are also suggested in this study. The suggested adaptive population strategy which controls the exploring and exploiting states according to whether algorithm find enough feasible solution is similar to a state switch. The mutation strategy is used to enhance the effect of state switch based on adaptive population size. Finally, the suggested ASA-DE is evaluated on the benchmark problems from congress on evolutionary computation (CEC) 2017 constrained real parameter optimization. The experimental results show the proposed algorithm is a competitive one compared to other state-of-the-art algorithms. © 2019 Elsevier B.V.
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英文
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A novel adaptive approximate Bayesian computation method for inverse heat conduction problem
作者：
Zeng, Yang;Wang, Hu* ;Zhang, Shuai;Cai, Yong;Li, Enying
期刊：
International Journal of Heat and Mass Transfer ,2019年134:185-197 ISSN：0017-9310
通讯作者：
Wang, Hu
作者机构：
[Wang, Hu; Cai, Yong; Zhang, Shuai; Zeng, Yang] Hunan Univ, Coll Mech & Vehicle Engn, Changsha, Hunan, Peoples R China.;[Wang, Hu; Cai, Yong; Zhang, Shuai; Zeng, Yang] Key Lab Adv Design & Mfg Vehicle Body, Changsha, Hunan, Peoples R China.;[Li, Enying] Cent South Univ Forestry & Technol, Coll Mech & Elect Engn, Changsha, Hunan, Peoples R China.;[Wang, Hu] Joint Ctr Intelligent New Energy Vehicle, Shanghai, Peoples R China.
通讯机构：
[Wang, Hu] H;Hunan Univ, Coll Mech & Vehicle Engn, Changsha, Hunan, Peoples R China.
关键词：
Bayesian networks;Efficiency;Inverse problems;Monte Carlo methods;Numerical methods;Approximate Bayesian;Computational technique;Inverse heat conduction problem;Likelihood functions;Nonlinear heat transfer;Population Monte Carlo;Reanalysis;Superposition principle;Heat conduction
摘要：
Bayesian approach has been widely used in inverse heat conduction problem (IHCP). However, due to either computationally prohibitive or analytically unavailable, its likelihood function is always intractable. In this study, to circumvent the intractable likelihood function, an approximate Bayesian computation (ABC) is extended to IHCP. However, massive expensive forward simulations are needed. It might lead to prohibited computational cost. In order to improve the efficiency of the ABC-IHCP, two strategies are proposed in this study. At first, in order to improve the convergence rate of ABC and reduce the number of samples, a none-parametric population Monte Carlo (NPMC) is proposed to determine the decreasing tolerance value adaptively. Secondly, in order to save the expensive computational cost of heat conduction simulation, the fast computational techniques are utilized. Based on the characteristics of the linear and nonlinear heat transfer problems, two heat conduction solvers are developed, respectively. The linear solver is based on superposition principle. As for the nonlinear problem, the fast and accurate reanalysis solver is suggested. Finally, the accuracy and efficiency of the suggested methods are verified with two numerical examples. (C) 2019 Elsevier Ltd. All rights reserved.
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英文
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An efficient D-vine copula-based coupling uncertainty analysis for variable-stiffness composites
作者：
Li, Qidi;Cai, Yong* ;Wang, Hu;Lv, Zhiwei;Li, Enying
期刊：
Composite Structures ,2019年219:221-241 ISSN：0263-8223
通讯作者：
Cai, Yong
作者机构：
[Wang, Hu; Cai, Yong; Li, Qidi; Lv, Zhiwei] Hunan Univ, State Key Lab Adv Design & Mfg Vehicle Body, Changsha, Hunan, Peoples R China.;[Wang, Hu; Cai, Yong] Joint Ctr Intelligent New Energy Vehicle, Changsha, Hunan, Peoples R China.;[Li, Enying] Cent South Univ Forestry & Technol, Coll Mech & Elect Engn, Changsha, Hunan, Peoples R China.
通讯机构：
[Cai, Yong] H;Hunan Univ, State Key Lab Adv Design & Mfg Vehicle Body, Changsha, Hunan, Peoples R China.
关键词：
Coupling uncertainty analysis;D-vine copula;Reanalysis;Surrogate modeling techniques;Variable-stiffness composite
摘要：
This study suggests a coupling uncertainty analysis for investigating the uncertainty of stiffness characteristics for variable-stiffness (VS) composites. The uncertainty analysis is based on the Monte Carlo Simulation (MCS) and a novel one-step Bayesian copula model selection assisted D-vine sampling method (OBCS-D) is proposed to realize the coupling of random variables. Compared with other uncertainty analysis methods, the suggested method is capable of identifying suitable copula function and marginal cumulative distribution function (CDF) of random variables and obtain the correlated random variables. Because the coupling uncertainties are considered, the computational cost of the uncertainty analysis is significantly increased. Therefore, a fast solver reanalysis method for VS composite materials is developed to improve the efficiency of the evaluation. To further improve the efficiency of the analysis, a surrogate-based MCS is also developed. To select a suitable surrogate modeling method, multiple popular modeling techniques are compared. Finally, fiber angle deviation of the VS composite is investigated by the suggested strategies. Two numerical examples are presented to verify the feasibility of the suggested uncertainty analysis framework. Results show that the stiffness of VS composite is sensitive to fiber angle and the uncertain analysis is necessary and important for the analysis of VS composites. © 2019 Elsevier Ltd
语种：
英文
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Time dependent sheet metal forming optimization by using Gaussian process assisted firefly algorithm
作者：
Wang, Hu* ;Chen, Lei;Li, Enying*
期刊：
International Journal of Material Forming ,2018年11(2):279-295 ISSN：1960-6206
通讯作者：
Wang, Hu;Li, Enying
作者机构：
[Wang, Hu; Chen, Lei] Hunan Univ, Coll Mech & Automot Engn, State Key Lab Adv Technol Vehicle Design & Manufa, Changsha 410082, Hunan, Peoples R China.;[Wang, Hu; Chen, Lei] Joint Ctr Intelligent New Energy Vehicle, Shanghai 201804, Peoples R China.;[Li, Enying] Cent South Univ Forestry & Teleol, Sch Mech & Elect Engn, Changsha 41004, Hunan, Peoples R China.
通讯机构：
[Wang, Hu] H;[Wang, Hu] J;[Li, Enying] C;Hunan Univ, Coll Mech & Automot Engn, State Key Lab Adv Technol Vehicle Design & Manufa, Changsha 410082, Hunan, Peoples R China.;Joint Ctr Intelligent New Energy Vehicle, Shanghai 201804, Peoples R China.
关键词：
Benchmarking;Bioluminescence;Gaussian distribution;Gaussian noise (electronic);Metal forming;Metals;Problem solving;Sheet metal;Bench-mark problems;Curse of dimensionality;Expected improvements;Firefly algorithms;Optimization problems;Simulation-based optimizations;Surrogate;Time dependent;Optimization
摘要：
For a sheet metal forming optimization problem, time related design variables are seldom considered in practice. The purpose of this work is to handle time dependent sheet metal forming problems. Because it is difficult to investigate all time points during the entire forming procedure, some key time points should be extracted. Therefore, the number of design variables should be significantly increased due to introduce auxiliary time design variables. However, curse of dimensionality is a formidable difficult issue to be solved. To solve such medium-scale problems, Gaussian Process Assisted Firefly Algorithm (GPFA) is suggested. The main idea of the suggested method is to construct a surrogate model-aware search mechanism with Firefly Algorithm (FA) for simulation-based optimization efficiently. Compared with other FAs, the distinctive characteristic of GPFA is to generate new sample points adaptively based on maximum Expected Improvement (EI) criterion, so that the local and global search can be well balanced, and a small promising area can be quickly focused on. Numerical studies on benchmark problems with 20 variables and a real-world application of time dependent sheet metal forming optimization reveal that the GPFA is capable to solve such similar problems. © 2017, Springer-Verlag France.
语种：
英文
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Update-grid reanalysis method based on NS-FEM for 3D heat transfer problems
作者：
Chong, Hao;Wang, Hu* ;Li, Enying*
期刊：
Engineering Analysis with Boundary Elements ,2018年95:142-153 ISSN：0955-7997
通讯作者：
Wang, Hu;Li, Enying
作者机构：
[Wang, Hu; Chong, Hao] Hunan Univ, State Key Lab Adv Design & Mfg Vehicle Body, Changsha 410082, Hunan, Peoples R China.;[Li, Enying] Cent South Univ Forestry & Teleol, Coll Mech & Elect Engn, Changsha 410014, Hunan, Peoples R China.
通讯机构：
[Wang, Hu] H;[Li, Enying] C;Hunan Univ, State Key Lab Adv Design & Mfg Vehicle Body, Changsha 410082, Hunan, Peoples R China.;Cent South Univ Forestry & Teleol, Coll Mech & Elect Engn, Changsha 410014, Hunan, Peoples R China.
关键词：
Reanalysis;Update-grid;Heat transfer;NS-FEM
摘要：
Repeated modifications and iterative recalculations cost a great amount of computation time in the structural design process. Reanalysis is an efficient computational method that can ensure the accuracy of a solution in place of repeated full finite element analysis (FEA) and other numerical methods. In this study, an update-grid (UG) reanalysis (UGR) method is suggested to analyse three-dimensional (3D) heat transfer problems. Compared with other reanalysis methods, the suggested method easily establishes a mapping between initial meshes and modified meshes using the mapping relationship. Generally, a modified structure can be reanalysed by directly reusing transfer operators from the UR analysis. Therefore, the modified meshes can be solved by constructing a map from the initial meshes, even if the model is totally re-meshed. Moreover, considering the accuracy of the analysis, a node-based smoothed finite element method (NS-FEM) is used as the main solver. To evaluate the performance of the suggested method, several heat transfer problems are investigated. The results demonstrate that the UGR method is more accurate and efficient compared with the popular multi-grid (MG) preconditioned conjugate gradient (PCG) method.
语种：
英文
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Fast cylinder variable-stiffness design by using Kriging-based hybrid aggressive space mapping method
作者：
Li, Enying*
期刊：
Advances in Engineering Software ,2017年114(C):215-226 ISSN：0965-9978
通讯作者：
Li, Enying
作者机构：
[Li, Enying] Cent South Univ Forestry & Teleol, Coll Mech & Elect Engn, Changsha 41004, Hunan, Peoples R China.
通讯机构：
[Li, Enying] C;Cent South Univ Forestry & Teleol, Coll Mech & Elect Engn, Changsha 41004, Hunan, Peoples R China.
关键词：
Optimization;Space mapping;Surrogate;Variable stiffness
摘要：
In this study, a surrogate assisted hybrid aggressive space mapping method is suggested to optimize buckling loads of cylinder variable stiffness composites made by fiber steering. Compared with other popular space mapping algorithms, both of surrogate and coarse FE model are integrated to obtain the coarse FE model-based solution. Moreover, the accuracy of surrogate can be enhanced by the sample points evaluated by the fine FE model. Therefore, the suggested method is easy to converge. After optimization by using the suggested algorithm, the buckling load of the variable stiffness cylinder optimized by the method has 43.12% improvement than the constant stiffness cylinder and 32.12% improvement than the quasi-isotropic cylinder, respectively. Therefore, it suggests that the suggested method has potential capability to handle complicated design for composites and can be extended to other complicated disciplines. © 2017 Elsevier Ltd
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