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RBMDO Using Gaussian Mixture Model-Based Second-Order Mean-Value Saddlepoint Approximation 被引量:9
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作者 Debiao Meng Shiyuan Yang +3 位作者 Tao Lin Jiapeng Wang Hengfei Yang Zhiyuan Lv 《Computer Modeling in Engineering & Sciences》 SCIE EI 2022年第8期553-568,共16页
Actual engineering systems will be inevitably affected by uncertain factors.Thus,the Reliability-Based Multidisciplinary Design Optimization(RBMDO)has become a hotspot for recent research and application in complex en... Actual engineering systems will be inevitably affected by uncertain factors.Thus,the Reliability-Based Multidisciplinary Design Optimization(RBMDO)has become a hotspot for recent research and application in complex engineering system design.The Second-Order/First-Order Mean-Value Saddlepoint Approximate(SOMVSA/-FOMVSA)are two popular reliability analysis strategies that are widely used in RBMDO.However,the SOMVSA method can only be used efficiently when the distribution of input variables is Gaussian distribution,which significantly limits its application.In this study,the Gaussian Mixture Model-based Second-Order Mean-Value Saddlepoint Approximation(GMM-SOMVSA)is introduced to tackle above problem.It is integrated with the Collaborative Optimization(CO)method to solve RBMDO problems.Furthermore,the formula and procedure of RBMDO using GMM-SOMVSA-Based CO(GMM-SOMVSA-CO)are proposed.Finally,an engineering example is given to show the application of the GMM-SOMVSA-CO method. 展开更多
关键词 Uncertain factors reliability-based multidisciplinary design optimization saddlepoint approximate gaussian mixture model collaborative optimization
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Dynamics of Rabi model under second-order Born Oppenheimer approximation
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作者 王治海 周端陆 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第11期311-314,共4页
We apply the second-order Born-Oppenheimer (BO) approximation to investigate the dynamics of the Rabi model, which describes the interaction between a two-level system and a single bosonic mode beyond the rotating w... We apply the second-order Born-Oppenheimer (BO) approximation to investigate the dynamics of the Rabi model, which describes the interaction between a two-level system and a single bosonic mode beyond the rotating wave approxi- mation. By comparing with the numerical results, we find that our approach works well when the frequency of the two-level system is much smaller than that of the bosonic mode. 展开更多
关键词 Rabi model second-order Born-Oppenheimer approximation
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APPROXIMATION TECHNIQUES FOR APPLICATION OF GENETIC ALGORITHMS TO STRUCTURAL OPTIMIZATION 被引量:1
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作者 金海波 丁运亮 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2003年第2期147-154,共8页
Although the genetic algorithm (GA) has very powerful robustness and fitness, it needs a large size of population and a large number of iterations to reach the optimum result. Especially when GA is used in complex str... Although the genetic algorithm (GA) has very powerful robustness and fitness, it needs a large size of population and a large number of iterations to reach the optimum result. Especially when GA is used in complex structural optimization problems, if the structural reanalysis technique is not adopted, the more the number of finite element analysis (FEA) is, the more the consuming time is. In the conventional structural optimization the number of FEA can be reduced by the structural reanalysis technique based on the approximation techniques and sensitivity analysis. With these techniques, this paper provides a new approximation model-segment approximation model, adopted for the GA application. This segment approximation model can decrease the number of FEA and increase the convergence rate of GA. So it can apparently decrease the computation time of GA. Two examples demonstrate the availability of the new segment approximation model. 展开更多
关键词 approximation techniques segment approximation model genetic algorithms structural optimization sensitivity analysis
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Optimization for ASP flooding based on adaptive rationalized Haar function approximation
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作者 Yulei Ge Shurong Li Xiaodong Zhang 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2018年第8期1758-1765,共8页
This paper presents an adaptive rationalized Haar function approximation method to obtain the optimal injection strategy for alkali-surfactant-polymer(ASP) flooding. In this process, the non-uniform control vector par... This paper presents an adaptive rationalized Haar function approximation method to obtain the optimal injection strategy for alkali-surfactant-polymer(ASP) flooding. In this process, the non-uniform control vector parameterization is introduced to convert original problem into a multistage optimization problem, in which a new normalized time variable is adopted on the combination of the subinterval length. Then the rationalized Haar function approximation method, in which an auxiliary function is introduced to dispose path constraints, is used to transform the multistage problem into a nonlinear programming. Furthermore, an adaptive strategy proposed on the basis of errors is adopted to regulate the order of Haar function vectors. Finally, the nonlinear programming for ASP flooding is solved by sequential quadratic programming. To illustrate the performance of proposed method,the experimental comparison method and control vector parameterization(CVP) method are introduced to optimize the original problem directly. By contrastive analysis of results, the accuracy and efficiency of proposed method are confirmed. 展开更多
关键词 Alkali-surfactant-polymer flooding optimization Enhanced oil recovery Mathematical modeling Rationalized Haar function approximation Adaptive strategy
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IMPROVED AERODYNAMIC APPROXIMATION MODEL WITH CASE-BASED REASONING TECHNIQUE FOR MDO OF AIRCRAFT
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作者 白振东 刘虎 +1 位作者 柴雪 武哲 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2008年第3期187-193,共7页
To increase the efficiency of the multidisciplinary optimization of aircraft, an aerodynamic approximation model is improved. Based on the study of aerodynamic approximation model constructed by the scaling correction... To increase the efficiency of the multidisciplinary optimization of aircraft, an aerodynamic approximation model is improved. Based on the study of aerodynamic approximation model constructed by the scaling correction model, case-based reasoning technique is introduced to improve the approximation model for optimization. The aircraft case model is constructed by utilizing the plane parameters related to aerodynamic characteristics as attributes of cases, and the formula of case retrieving is improved. Finally, the aerodynamic approximation model for optimization is improved by reusing the correction factors of the most similar aircraft to the current one. The multidisciplinary optimization of a civil aircraft concept is carried out with the improved aerodynamic approximation model. The results demonstrate that the precision and the efficiency of the optimization can be improved by utilizing the improved aerodynamic approximation model with ease-based reasoning technique. 展开更多
关键词 AIRCRAFT aerodynamic approximation model case-based reasoning multidisciplinary optimization(MDO)
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An optimization model of parameter matching for aircraft catapult launch 被引量:5
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作者 Zeyang ZHOU Jun HUANG 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2020年第1期191-204,共14页
To efficiently and fully utilize aircraft carrier resources,an optimization model is presented to deal with parameter matching between aircraft and carrier in the process of aircraft catapult launch.Based on carrier a... To efficiently and fully utilize aircraft carrier resources,an optimization model is presented to deal with parameter matching between aircraft and carrier in the process of aircraft catapult launch.Based on carrier aircraft longitudinal dynamic equations and theorem of kinetic energy in catapult launch course,the work characteristics of different forces are learned and a theory model of parameter matching is deduced.In view of the uncertainty of the model parameters of the theory model and the low matching accuracy of the approximate model,an optimization model of parameter matching is introduced in line with the structure of theory model and the approximate model and is generated by the proposed immune genetic algorithm.Compared with the original genetic algorithm and immune algorithm,the proposed algorithm has better calculation accuracy and convergence.The calculation results show that the optimization model occupies certain application value of engineering estimation from the comparison with the relevant literature data and has higher precision than the approximate models.The validity of the proposed approach is verified with numerical case study on a carrier based aircraft. 展开更多
关键词 AIRCRAFT catapult LAUNCH approximATE model Immune genetic algorithm optimization model Parameter MATCHING Theory model
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Discrete-Time Nonlinear Stochastic Optimal Control Problem Based on Stochastic Approximation Approach 被引量:1
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作者 Sie Long Kek Sy Yi Sim +1 位作者 Wah June Leong Kok Lay Teo 《Advances in Pure Mathematics》 2018年第3期232-244,共13页
In this paper, a computational approach is proposed for solving the discrete-time nonlinear optimal control problem, which is disturbed by a sequence of random noises. Because of the exact solution of such optimal con... In this paper, a computational approach is proposed for solving the discrete-time nonlinear optimal control problem, which is disturbed by a sequence of random noises. Because of the exact solution of such optimal control problem is impossible to be obtained, estimating the state dynamics is currently required. Here, it is assumed that the output can be measured from the real plant process. In our approach, the state mean propagation is applied in order to construct a linear model-based optimal control problem, where the model output is measureable. On this basis, an output error, which takes into account the differences between the real output and the model output, is defined. Then, this output error is minimized by applying the stochastic approximation approach. During the computation procedure, the stochastic gradient is established, so as the optimal solution of the model used can be updated iteratively. Once the convergence is achieved, the iterative solution approximates to the true optimal solution of the original optimal control problem, in spite of model-reality differences. For illustration, an example on a continuous stirred-tank reactor problem is studied, and the result obtained shows the applicability of the approach proposed. Hence, the efficiency of the approach proposed is highly recommended. 展开更多
关键词 NONLINEAR optimal Control Output Error model-Reality DIFFERENCES ITERATIVE Solution STOCHASTIC approximation
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EFFICIENT METHOD FOR MULTIDISCIPLINARY DESIGN OPTIMIZATION BY CONSIDERING UNCERTAINTY
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作者 贺谦 李元生 +2 位作者 敖良波 温志勋 岳珠峰 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2010年第3期213-218,共6页
A new reliability-based multidisciplinary design optimization (RBMDO) framework is proposed by combining the single-loop-based reliability analysis (SLBRA) method with multidisciplinary feasible (MDF) method. Th... A new reliability-based multidisciplinary design optimization (RBMDO) framework is proposed by combining the single-loop-based reliability analysis (SLBRA) method with multidisciplinary feasible (MDF) method. The Kriging approximate model with updating is introduced to reduce the computational cost of MDF caused by the complex structure. The computational efficiency is remarkably improved as the lack of iterative process during reliability analysis. Special attention is paid to a turbine blade design optimization by adopting the proposed method. Results show that the method is much more efficient than the commonly used double-loop based RBMDO method. It is feasible and efficient to apply the method to the engineering design. 展开更多
关键词 multidisciplinary design optimization multidisciplinary feasible method single loop method reliability analysis Kriging approximate model
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A structural topological optimization method for multi-displacement constraints and any initial topology configuration 被引量:10
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作者 J. H. Rong J. H. Yi 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2010年第5期735-744,共10页
In density-based topological design, one expects that the final result consists of elements either black (solid material) or white (void), without any grey areas. Moreover, one also expects that the optimal topolo... In density-based topological design, one expects that the final result consists of elements either black (solid material) or white (void), without any grey areas. Moreover, one also expects that the optimal topology can be obtained by starting from any initial topology configuration. An improved structural topological optimization method for multidisplacement constraints is proposed in this paper. In the proposed method, the whole optimization process is divided into two optimization adjustment phases and a phase transferring step. Firstly, an optimization model is built to deal with the varied displacement limits, design space adjustments, and reasonable relations between the element stiffness matrix and mass and its element topology variable. Secondly, a procedure is proposed to solve the optimization problem formulated in the first optimization adjustment phase, by starting with a small design space and advancing to a larger deign space. The design space adjustments are automatic when the design domain needs expansions, in which the convergence of the proposed method will not be affected. The final topology obtained by the proposed procedure in the first optimization phase, can approach to the vicinity of the optimum topology. Then, a heuristic algorithm is given to improve the efficiency and make the designed structural topology black/white in both the phase transferring step and the second optimization adjustment phase. And the optimum topology can finally be obtained by the second phase optimization adjustments. Two examples are presented to show that the topologies obtained by the proposed method are of very good 0/1 design distribution property, and the computational efficiency is enhanced by reducing the element number of the design structural finite model during two optimization adjustment phases. And the examples also show that this method is robust and practicable. 展开更多
关键词 Topological optimization Displacement constraint Continuum structure Design space adjustment Rational approximation material model
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Cross Validation Based Model Averaging for Varying-Coefficient Models with Response Missing at Random 被引量:1
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作者 Huixin Li Xiuli Wang 《Journal of Applied Mathematics and Physics》 2024年第3期764-777,共14页
In this paper, a model averaging method is proposed for varying-coefficient models with response missing at random by establishing a weight selection criterion based on cross-validation. Under certain regularity condi... In this paper, a model averaging method is proposed for varying-coefficient models with response missing at random by establishing a weight selection criterion based on cross-validation. Under certain regularity conditions, it is proved that the proposed method is asymptotically optimal in the sense of achieving the minimum squared error. 展开更多
关键词 Response Missing at Random model Averaging Asymptotic optimality B-Spline approximation
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Minimum Resistance Ship Hull Uncertainty Optimization Design Based on Simulation-Based Design Method
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作者 侯远杭 游园 梁霄 《Journal of Shanghai Jiaotong university(Science)》 EI 2017年第6期657-663,共7页
In the ship hull optimization design based on simulation-based design(SBD) technology, low precision of the approximate model leads to an uncertainty form of optimization model. In order to enable the approximate mode... In the ship hull optimization design based on simulation-based design(SBD) technology, low precision of the approximate model leads to an uncertainty form of optimization model. In order to enable the approximate model with finite precision to maximize the effectiveness, uncertainty optimization method is introduced here.Wave resistance coefficient approximation model, built by back propagation(BP) neural network, is represented as a form of interval. Afterwards, a minimum resistance optimization model is established with the design space constituted by principal dimensions and ship form coefficients. Double-level nested optimization architecture is proposed: for outer layer, improved particle swarm optimization(IPSO) algorithm with learning factor improvement strategy is used to generate design variables, and for inner layer, modified very fast simulated annealing(MVFSA) algorithm is used to solve the objective function interval with uncertainty region. Cases calculation proves the effectiveness and superiority of uncertainty optimization method for ship hull SBD optimization design,thus providing a good way for finding optimal designs. 展开更多
关键词 ship hull optimization approximation model uncertainty optimization interval programming
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基于NSGA-Ⅱ算法的油底壳轻量化设计
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作者 郭文强 郭永正 +1 位作者 闫祥海 徐立友 《车用发动机》 北大核心 2026年第1期57-63,70,共8页
传统油底壳设计往往采用金属材料,为了充分发挥油底壳的性能,提出基于NSGA-Ⅱ算法的油底壳轻量化设计方法。首先,建立油底壳的有限元模型,并进行自由模态分析,对原钢制油底壳进行模态测试,对比分析前六阶模态频率及振型,验证有限元模型... 传统油底壳设计往往采用金属材料,为了充分发挥油底壳的性能,提出基于NSGA-Ⅱ算法的油底壳轻量化设计方法。首先,建立油底壳的有限元模型,并进行自由模态分析,对原钢制油底壳进行模态测试,对比分析前六阶模态频率及振型,验证有限元模型的准确性。其次,基于等刚度近似理论,对铝合金材料油底壳选取7个典型壁厚作为设计变量,以油底壳的一阶固有频率和质量为优化目标,应用最优拉丁超立方试验设计方法对设计变量进行贡献度分析。最后,基于Isight参数优化软件分别构建优化目标与影响因素之间的RBF近似模型和RSM近似模型,经分析对比之后选择RSM近似模型进行后续优化,基于NSGA-Ⅱ算法在代理模型内进行全局寻优,获取了一组使油底壳一阶模态频率和质量最优的预测值。研究结果表明,RSM近似模型的预测值与仿真试验结果基本吻合,优化后一阶模态频率提升22.9%,质量降低37.6%。 展开更多
关键词 油底壳 等刚度替换 近似模型 多目标优化 轻量化设计
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蔬菜钵苗移栽机夹茎式取投苗装置的优化设计与试验
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作者 李红双 朱天一 《农机化研究》 北大核心 2026年第4期43-51,共9页
针对现有蔬菜钵苗取投苗装置存在作业效率低、伤苗率高的问题,设计了一种夹茎式六杆取投苗装置,能够保证在不损伤钵苗的前提下实现快速取投苗。首先,基于取投苗作业轨迹关键点设计了各关键部件结构参数,并建立其运动学模型;其次,根据运... 针对现有蔬菜钵苗取投苗装置存在作业效率低、伤苗率高的问题,设计了一种夹茎式六杆取投苗装置,能够保证在不损伤钵苗的前提下实现快速取投苗。首先,基于取投苗作业轨迹关键点设计了各关键部件结构参数,并建立其运动学模型;其次,根据运动学模型使用MatLab软件编写取投苗装置的优化分析程序,分析出连杆参数对装置运动特性的影响。设定参数优化目标和约束条件,采用逐次逼近法对关键部件进行参数优化,得到一组最优连杆参数组合:l_(AB)=76 mm、l_(BC)=256 mm、l_(CD)=140 mm、l_(AD)=300 mm、l_(DE)=270 mm、θ5=85°;最后,以优化后的最优连杆参数组合设计试验样机进行虚拟仿真验证,并以苗龄45 d、基质含水率50%的茄子钵苗作为试验对象,进行样机测试。结果表明:虚拟仿真的轨迹、速度和加速度曲线与优化后理论曲线基本一致,试验样机测试的取苗成功率提升至96.83%,与传统取苗装置相比提升5.05个百分点,投苗成功率95.87%,伤苗率2.83%,能够满足蔬菜钵苗移栽机的实际作业要求。 展开更多
关键词 蔬菜钵苗移栽机 取投苗装置 运动学模型 逐次逼近法 参数优化 夹茎式
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Gradient-based Kriging approximate model and its application research to optimization design 被引量:4
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作者 XUAN Ying XIANG JunHua +1 位作者 ZHANG WeiHua ZHANG YuLin 《Science China(Technological Sciences)》 SCIE EI CAS 2009年第4期1117-1124,共8页
In the process of multidisciplinary design optimization, there exits the calculation complexity problem due to frequently calling high fidelity system analysis models. The high fidelity system analysis models can be s... In the process of multidisciplinary design optimization, there exits the calculation complexity problem due to frequently calling high fidelity system analysis models. The high fidelity system analysis models can be surrogated by approximate models. The sensitivity analysis and numerical noise filtering can be done easily by coupling approximate models to optimization. Approximate models can reduce the number of executions of the problem's simulation code during optimization, so the solution efficiency of the multidisciplinary design optimization problem can be improved. Most optimization methods are based on gradient. The gradients of the objective and constrain functions are gained easily. The gra- dient-based Kriging (GBK) approximate model can be constructed by using system response value and its gradients. The gradients can greatly improve prediction precision of system response. The hybrid optimization method is constructed by coupling GBK approximate models to gradient-based optimiza- tion methods. An aircraft aerodynamics shape optimization design example indicates that the methods of this paper can achieve good feasibility and validity. 展开更多
关键词 KRIGING approximation FUNCTION gradient-based approximATE model hybrid optimization method MULTIDISCIPLINARY design optimization
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Optimal Matching Analysis of Net Buoyancy and Pitching Angle for Underwater Gliders 被引量:1
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作者 YANG Ming LIANG Yan +1 位作者 WANG Yan-hui YANG Shao-qiong 《China Ocean Engineering》 SCIE EI CSCD 2022年第5期697-706,共10页
Control parameter optimization is an efficient way to improve the endurance of underwater gliders(UGs),which influences their gliding efficiency and energy consumption.This paper analyzes the optimal matching between ... Control parameter optimization is an efficient way to improve the endurance of underwater gliders(UGs),which influences their gliding efficiency and energy consumption.This paper analyzes the optimal matching between the net buoyancy and the pitching angle and proposes a segmented control strategy of Petrel-L.The optimization of this strategy is established based on the gliding range model of UG,which is solved based on the approximate model,and the variations of the optimal control parameters with the hotel load are obtained.The optimization results indicate that the segmented control strategy can significantly increase the gliding range when the optimal matching between the net buoyancy and the pitching angle is reached,and the increase rate is influenced by the hotel load.The gliding range of the underwater glider can be increased by 10.47%at a hotel load of 0.5 W.The optimal matching analysis adopted in this study can be applied to other UGs to realize endurance improvement. 展开更多
关键词 optimal matching analysis underwater glider approximate model technology gliding range model
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Time -Sharing Power Supply Optimal Decision forElectrolytic Deposition Process of Zinc Based onSimulated Annealing Algorithm
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作者 Huang Taisong Gui Weihua +1 位作者 Wang Yalin Yang Chunhua 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2000年第4期43-50,共8页
According to time-sharing valuation principle (TSVP) of power supply, the relationships of current density and current efficiency at different acidities are obtained based on the processed data of electrolytic deposit... According to time-sharing valuation principle (TSVP) of power supply, the relationships of current density and current efficiency at different acidities are obtained based on the processed data of electrolytic deposition process of zinc (EDPZ) with the least square method (LSM). Thus an optimal model of time-sharing power supply system for EDPZ is established, which has been optimized by use of an improved efficient simulated annealing algorithm (SAA). Practical results show that industrial and mining enterprises can obtain enormous economic benefits every year. 展开更多
关键词 ALGORITHMS Current density ELECTRODEPOSITION Least squares approximations Mathematical models optimization Simulated annealing
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Domain Decomposition of an Optimal Control Problem for Semi-Linear Elliptic Equations on Metric Graphs with Application to Gas Networks
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作者 Günter Leugering 《Applied Mathematics》 2017年第8期1074-1099,共26页
We consider optimal control problems for the flow of gas in a pipe network. The equations of motions are taken to be represented by a semi-linear model derived from the fully nonlinear isothermal Euler gas equations. ... We consider optimal control problems for the flow of gas in a pipe network. The equations of motions are taken to be represented by a semi-linear model derived from the fully nonlinear isothermal Euler gas equations. We formulate an optimal control problem on a given network and introduce a time discretization thereof. We then study the well-posedness of the corresponding time-discrete optimal control problem. In order to further reduce the complexity, we consider an instantaneous control strategy. The main part of the paper is concerned with a non-overlapping domain decomposition of the semi-linear elliptic optimal control problem on the graph into local problems on a small part of the network, ultimately on a single edge. 展开更多
关键词 optimal Control Gas Networks Euler’s EQUATION HIERARCHY of models SEMI-LINEAR approximation Non-Overlapping Domain DECOMPOSITION
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Proximal Point-Like Method for Updating Simultaneously Mass and Stiffness Matrices of Finite Element Model
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作者 DAI Hua WANG Kangkang 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI CSCD 2020年第1期1-12,共12页
The problem of correcting simultaneously mass and stiffness matrices of finite element model of undamped structural systems using vibration tests is considered in this paper.The desired matrix properties,including sat... The problem of correcting simultaneously mass and stiffness matrices of finite element model of undamped structural systems using vibration tests is considered in this paper.The desired matrix properties,including satisfaction of the characteristic equation,symmetry,positive semidefiniteness and sparsity,are imposed as side constraints to form the optimal matrix pencil approximation problem.Using partial Lagrangian multipliers,we transform the nonlinearly constrained optimization problem into an equivalent matrix linear variational inequality,develop a proximal point-like method for solving the matrix linear variational inequality,and analyze its global convergence.Numerical results are included to illustrate the performance and application of the proposed method. 展开更多
关键词 model updating proximal point method optimal matrix pencil approximation matrix linear variational inequality
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Optimal approximation of head-related transfer function’s pole-zero model based on genetic algorithm
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作者 ZHANG Jie MA Hao WU Zhen-yang 《Frontiers of Electrical and Electronic Engineering in China》 CSCD 2006年第4期455-459,共5页
In the research on spatial hearing and virtual auditory space,it is important to effectively model the head-related transfer functions(HRTFs).Based on the analysis of the HRTFs’spectrum and some perspectives of psych... In the research on spatial hearing and virtual auditory space,it is important to effectively model the head-related transfer functions(HRTFs).Based on the analysis of the HRTFs’spectrum and some perspectives of psychoacoustics,this paper applied multiple demes’parallel and real-valued coding genetic algorithm(GA)to approxi-mate the HRTFs’zero-pole model.Using the logarithmic magnitude’s error criterion for the human auditory sense,the results show that the performance of the GA is on the average 39%better than that of the traditional Prony method,and 46%better than that of the Yule-Walker algo-rithm. 展开更多
关键词 optimal approximation HRTFs pole-zero model genetic algorithm
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船型优化中近似技术的应用研究综述
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作者 常海超 刘祖源 +1 位作者 冯佰威 侯文龙 《船海工程》 北大核心 2025年第5期10-17,共8页
为探讨近似技术在船型优化过程中的重要性,并针对近似模型在构建过程实现有效提升其准确度的方法路径展开分析,从基于近似模型的船型优化流程入手,把握样本点的选择和近似模型的形式两个提升近似模型准确度的关键方面,归纳国内外样本点... 为探讨近似技术在船型优化过程中的重要性,并针对近似模型在构建过程实现有效提升其准确度的方法路径展开分析,从基于近似模型的船型优化流程入手,把握样本点的选择和近似模型的形式两个提升近似模型准确度的关键方面,归纳国内外样本点选取方法和近似模型构造方法的研究现状,对研究中的问题和解决方向进行综合评估。在此基础上,对未来如何更有效地利用近似技术进一步提高船型优化效率进行展望。 展开更多
关键词 船型优化 近似模型 样本点选取
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