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An equilibrium multi-objective optimum design for non-circular clearance hole of disk with discrete variables 被引量:1
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作者 Jiaxin HAN Haiding GUO 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2018年第2期247-254,共8页
An Equilibrium Multi-objective Optimization Model(EMOM)with self-regulated weighting factors has been proposed for the optimum design of non-circular clearance hole on the front flange of turbine disk.In the‘‘equili... An Equilibrium Multi-objective Optimization Model(EMOM)with self-regulated weighting factors has been proposed for the optimum design of non-circular clearance hole on the front flange of turbine disk.In the‘‘equilibrium design",both the stress decrease around the hole and the least hole's profile variation are considered,which balances two ambivalent design goals.Specific discrete variables are applied to realize the standardization design in the optimization process,in which a Surrogate Genetic Coding Algorithm(SGCA)is introduced,and a special check module is used to get rid of repeated fitness evaluation of the samples.The method offers an equilibrium design for the non-circular clearance hole of the turbine disk with great accuracy and efficiency. 展开更多
关键词 discrete variables Equilibrium design Genetic algorithms Non-circular clearance holestructural optimization Turbine components
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APPROACH FOR LAYOUT OPTIMIZATION OF TRUSS STRUCTURES WITH DISCRETE VARIABLES UNDER DYNAMIC STRESS, DISPLACEMENT AND STABILITY CONSTRAINTS 被引量:1
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作者 石连栓 王跃方 孙焕纯 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2006年第5期593-599,共7页
A mathematical model was developed for layout optimization of truss structures with discrete variables subjected to dynamic stress, dynamic displacement and dynamic stability constraints. By using the quasi-static met... A mathematical model was developed for layout optimization of truss structures with discrete variables subjected to dynamic stress, dynamic displacement and dynamic stability constraints. By using the quasi-static method, the mathematical model of structure optimization under dynamic stress, dynamic displacement and dynamic stability constraints were transformed into one subjected to static stress, displacement and stability constraints. The optimization procedures include two levels, i.e., the topology optimization and the shape optimization. In each level, the comprehensive algorithm was used and the relative difference quotients of two kinds of variables were used to search the optimum solution. A comparison between the optimum results of model with stability constraints and the optimum results of model without stability constraint was given. And that shows the stability constraints have a great effect on the optimum solutions. 展开更多
关键词 discrete variables structure optimization layout optimum design dynamic stress constraint dynamic displacement constraint dynamic stability constraint relative difference quotient
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A METHOD FOR TOPOLOGICAL OPTIMIZATION OF STRUCTURES WITH DISCRETE VARIABLES UNDER DYNAMIC STRESS AND DISPLACEMENT CONSTRAINTS
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作者 石连栓 孙焕纯 冯恩民 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2001年第7期781-787,共7页
A method for topological optimization of structures with discrete variables subjected to dynamic stress and displacement constraints is presented. By using the quasistatic method, the structure optimization problem un... A method for topological optimization of structures with discrete variables subjected to dynamic stress and displacement constraints is presented. By using the quasistatic method, the structure optimization problem under dynamic stress and displacement constraints is converted into one subjected to static stress and displacement constraints. The comprehensive algorithm for topological optimization of structures with discrete variables is used to find the optimum solution. 展开更多
关键词 discrete variables structure optimization topological optimization dynamic stress constraint dynamic displacement constraint
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STUDIFS ON OPTIMAL TOPOLOGY DES IGN OF STRUCTURES WITH DISCRETE VARIABLES
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作者 Wang Yuefang Sun Huanchun Huang Lihua (Department of Engineering Mechanics,Dalian University of Technology,Dalian 116023,China) 《Acta Mechanica Solida Sinica》 SCIE EI 1998年第2期139-145,共7页
Some problems in the optimal topology design of structures with discrete variables are studied in this paper.The problem of a model of discrete optimization is discussed and a neglected fact that discrete optimum desi... Some problems in the optimal topology design of structures with discrete variables are studied in this paper.The problem of a model of discrete optimization is discussed and a neglected fact that discrete optimum design may be controlled by the discreteness of sizing variables and global con- straints is pointed out.A heuristic algorithm for solving discrete topology optimization problems of trusses and frames is proposed. 展开更多
关键词 discrete variables topology optimization frame structure heuristic algorithm
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OptimizationDesign and Numerical Simulation of Variable Tube Diameter Heat Exchanger for Split Air Conditioning Indoor Unit
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作者 Zheming Cheng Xinping Ou Yang +2 位作者 Leren Tao Zihao Wang Ke Sun 《Frontiers in Heat and Mass Transfer》 2026年第1期288-313,共26页
Energy shortage has become one of themost concerning issues in the world today,and improving energy utilization efficiency is a key area of research for experts and scholars worldwide.Small-diameter heat exchangers of... Energy shortage has become one of themost concerning issues in the world today,and improving energy utilization efficiency is a key area of research for experts and scholars worldwide.Small-diameter heat exchangers offer advantages such as reduced material usage,lower refrigerant charge,and compact structure.However,they also face challenges,including increased refrigerant pressure drop and smaller heat transfer area inside the tubes.This paper combines the advantages and disadvantages of both small and large-diameter tubes and proposes a combined-diameter heat exchanger,consisting of large and small diameters,for use in the indoor units of split-type air conditioners.There are relatively few studies in this area.In this paper,A theoretical and numerical computation method is employed to establish a theoretical-numerical calculation model,and its reliability is verified through experiments.Using this model,the optimal combined diameters and flow path design for a combined-diameter heat exchanger using R32 as the working fluid are derived.The results show that the heat transfer performance of all combined diameter configurations improves by 2.79%to 8.26%compared to the baseline design,with the coefficient of performance(COP)increasing from 4.15 to 4.27~4.5.These designs can save copper material,but at the cost of an increase in pressure drop by 66.86%to 131.84%.The scheme IIIH,using R32,is the optimal combined-diameter and flow path configuration that balances both heat transfer performance and economic cost. 展开更多
关键词 Split air condition variable tube diameter enhanced heat transfer numerical simulation structural design optimization
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DYNAMIC RESPONSE OPTIMIZATION DESIGN FOR ENGINEERING STRUCTURES BASED ON RELIABILITY 被引量:11
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作者 戴君 陈建军 +2 位作者 李永公 赵竹青 马洪波 《应用数学和力学》 EI CSCD 北大核心 2003年第1期39-46,共8页
In many practical structures, physical parameters of material and applied loads have random property.To optimize this kind of structures,an optimum mathematical model was built.This model has reliability constraints o... In many practical structures, physical parameters of material and applied loads have random property.To optimize this kind of structures,an optimum mathematical model was built.This model has reliability constraints on dynamic stress and displacement and upper & lower limits of the design variables. The numerical characteristic of dynamic response and sensitivity of dynamic response based on probability of structure were deduced respectively. By equivalent disposing, the reliability constraints were changed into conventional forms. The SUMT method was used in the optimization process.Two examples illustrate the correctness and practicability of the optimum model and solving approach. 展开更多
关键词 工程结构 动力响应 动力灵敏度 可靠性约束 优化设计 动应力 动位移
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A strategy for lightweight designing of a railway vehicle car body including composite material and dynamic structural optimization 被引量:2
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作者 Alessio Cascino Enrico Meli Andrea Rindi 《Railway Engineering Science》 2023年第4期340-350,共11页
Rolling stock manufacturers are finding structural solutions to reduce power required by the vehicles,and the lightweight design of the car body represents a possible solution.Optimization processes and innovative mat... Rolling stock manufacturers are finding structural solutions to reduce power required by the vehicles,and the lightweight design of the car body represents a possible solution.Optimization processes and innovative materials can be combined in order to achieve this goal.In this framework,we propose the redesign and optimization process of the car body roof for a light rail vehicle,introducing a sandwich structure.Bonded joint was used as a fastening system.The project was carried out on a single car of a modern tram platform.This preliminary numerical work was developed in two main steps:redesign of the car body structure and optimization of the innovated system.Objective of the process was the mass reduction of the whole metallic structure,while the constraint condition was imposed on the first frequency of vibration of the system.The effect of introducing a sandwich panel within the roof assembly was evaluated,focusing on the mechanical and dynamic performances of the whole car body.A mass saving of 63%on the optimized components was achieved,corresponding to a 7.6%if compared to the complete car body shell.In addition,a positive increasing of 17.7%on the first frequency of vibration was observed.Encouraging results have been achieved in terms of weight reduction and mechanical behaviour of the innovated car body. 展开更多
关键词 structural dynamic optimization Car body lightweight design Railway vehicle dynamics Railway car body engineering Railway vehicle design Composite materials
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Optimization Analysis of Building Structure Design Based on Civil Engineering
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作者 ZHAO Jing 《外文科技期刊数据库(文摘版)工程技术》 2021年第5期191-195,共7页
At present, China's economy is in a rising period. Under the background of better and better economy, people's demands for living environment and public facilities have become increasingly high. As a construct... At present, China's economy is in a rising period. Under the background of better and better economy, people's demands for living environment and public facilities have become increasingly high. As a construction industry, the civil engineering industry should transform the needs of the people into its own internal power and strengthen its own construction quality. Only in this way can it promote the rapid development of the industry, meet people's actual needs and contribute to the society. In the civil engineering industry, structural design and construction technology are two common factors, which directly affect the feasibility of civil engineering construction, so enterprises should sort out the relationship between the two, only in this way can they help themselves to obtain better development. 展开更多
关键词 civil engineering building structure design OPTIMIZATION
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Design and optimization of origami-inspired inflatable deployable tubular structures
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作者 Bo QIN Shengnan LYU +1 位作者 Shiwei LIU Xilun DING 《Chinese Journal of Aeronautics》 2025年第3期645-661,共17页
Inflatable deployable structures inspired by origami have significant applications in space missions such as solar arrays and antennas.In this paper,a generalized Miura-ori tubular cell(GMTC)is presented as the basic ... Inflatable deployable structures inspired by origami have significant applications in space missions such as solar arrays and antennas.In this paper,a generalized Miura-ori tubular cell(GMTC)is presented as the basic cell to design a family of inflatable origami tubular structures with the targeted configuration.First,the classification of rigid foldable degree-4 vertices is studied thoroughly.Since the proposed GMTC is comprised of forming units(FU)and linking units(LU),types of FUs and LUs are investigated based on the classification of degree-4 vertices,respectively.The rigid foldability of the GMTC is presented by studying the kinematics of the FUs and LUs.Volume of the GMTC is analyzed to investigate multistable configurations of the basic cell.The variations in volume of the GMTC offer great potential for developing the inflatable tubular structure.Design method and parametric optimization of the tubular structure with targeted configuration are proposed.The feasibility of the approach is validated by the approximation of four different cases,namely parabolic,semicircular,trapezoidal,and straight-arc hybrid tubular structures. 展开更多
关键词 Rigid origamil Inflatable deployable structure Variable volume Multistable configuration Parametric optimization design
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Quantile-based optimization under uncertainties for complex engineering structures using an active learning basis-adaptive PC-Kriging model
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作者 Yulian GONG Jianguo ZHANG +1 位作者 Dan XU Ying HUANG 《Chinese Journal of Aeronautics》 2025年第1期340-352,共13页
The Reliability-Based Design Optimization(RBDO)of complex engineering structures considering uncertainties has problems of being high-dimensional,highly nonlinear,and timeconsuming,which requires a significant amount ... The Reliability-Based Design Optimization(RBDO)of complex engineering structures considering uncertainties has problems of being high-dimensional,highly nonlinear,and timeconsuming,which requires a significant amount of sampling simulation computation.In this paper,a basis-adaptive Polynomial Chaos(PC)-Kriging surrogate model is proposed,in order to relieve the computational burden and enhance the predictive accuracy of a metamodel.The active learning basis-adaptive PC-Kriging model is combined with a quantile-based RBDO framework.Finally,five engineering cases have been implemented,including a benchmark RBDO problem,three high-dimensional explicit problems,and a high-dimensional implicit problem.Compared with Support Vector Regression(SVR),Kriging,and polynomial chaos expansion models,results show that the proposed basis-adaptive PC-Kriging model is more accurate and efficient for RBDO problems of complex engineering structures. 展开更多
关键词 Reliability-based design optimization Quantile-based Basis-adaptive PC-Kriging Complex engineering structures Active learning Uncertainty
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面向异形结构的共形点阵变密度调控设计方法
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作者 罗玮 冯少军 +3 位作者 郝鹏 霍泽凯 高勇 焦世坤 《应用数学和力学》 北大核心 2026年第1期1-14,共14页
针对异形承载结构中存在的共形点阵建模填充复杂、大规模单胞导致设计变量激增、优化困难的问题,提出了一种基于函数描述的共形点阵变密度调控设计方法.通过发展基于网格变形的共形点阵参数化建模方法,可实现异形结构的点阵快速填充;进... 针对异形承载结构中存在的共形点阵建模填充复杂、大规模单胞导致设计变量激增、优化困难的问题,提出了一种基于函数描述的共形点阵变密度调控设计方法.通过发展基于网格变形的共形点阵参数化建模方法,可实现异形结构的点阵快速填充;进一步提出了基于分段三次Hermite插值多项式的点阵单胞尺寸调控方法和基于代理模型的点阵杆径调控方法,可实现点阵的精细调控和设计变量降维;在此基础上,建立了基于自适应更新动态代理模型的点阵结构优化设计框架,实现了点阵调控参数的快速优化设计.通过两个工程算例开展了算例验证,包括火箭有效载荷适配器应变能优化、飞行器异形承载舱段结构屈曲优化,综合计算结果表明了所提方法对于不同问题的有效性. 展开更多
关键词 异形结构点阵填充 共形点阵建模 变密度调控设计 代理模型优化
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多工序大允差大型发动机缸体翻转机结构设计
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作者 杜潇 栗飞 +1 位作者 梁勇 李天箭 《现代制造工程》 北大核心 2026年第2期91-100,128,共11页
在大型、重型设备生产加工中,现有翻转机结构由于设计缺陷无法实现工程中10 t以上大型发动机缸体多角度旋转定位和加工的实际需求。为了解决这一实际工程问题,提出以夹持结构承载能力、机构自重和装配自适应能力为综合设计目标,建立多... 在大型、重型设备生产加工中,现有翻转机结构由于设计缺陷无法实现工程中10 t以上大型发动机缸体多角度旋转定位和加工的实际需求。为了解决这一实际工程问题,提出以夹持结构承载能力、机构自重和装配自适应能力为综合设计目标,建立多目标优化模型,设计一种负载15 t,具有逆时针与顺时针2个方向及±30°/±60°/±90°/±180°多工位转动翻转能力的重载翻转机机械结构。在夹持误差8 mm以内可以自动定心,实现多工序、大允差大型发动机缸体的精准定位和稳定夹持,保障多尺寸、多步骤的大型发动机缸体加工。对该设计模型的设计结果进行仿真分析和数学建模计算后,得到变形量7 mm内的最小重量设计。产品制造后,现场性能测试与设计目标一致。多工序大允差大型发动机缸体翻转机结构设计亦可为其他大型重型翻转机装备结构设计提供借鉴。 展开更多
关键词 大型发动机缸体翻转 夹持结构设计 多工序 多目标优化 大允差
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海底微型钻机钻杆置换机构的优化设计与分析
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作者 李潇 刘广平 《海洋信息技术与应用》 2026年第1期21-31,共11页
针对海底微型钻机在复杂海底地形钻取作业时对高机动性的需求,本研究开展了结构紧凑性优化设计。以钻杆置换机构为对象,以关键结构尺寸为优化变量,在满足材料屈服强度的约束条件下,基于多目标遗传算法利用MATLAB平台进行Pareto前沿求解... 针对海底微型钻机在复杂海底地形钻取作业时对高机动性的需求,本研究开展了结构紧凑性优化设计。以钻杆置换机构为对象,以关键结构尺寸为优化变量,在满足材料屈服强度的约束条件下,基于多目标遗传算法利用MATLAB平台进行Pareto前沿求解与多目标优化分析。在此基础上构建了该置换机构的三维模型,并采用静力学有限元方法对其在深海高压工况下的力学性能与结构可靠性进行了验证。研究结果实现了结构紧凑性与承载可靠性的协同优化,为深海钻探装备取芯作业的结构设计提供了理论支持与工程借鉴。 展开更多
关键词 海底微型钻机 钻杆置换机构 多目标优化 有限元分析 结构设计 深海工程
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基于BIM技术的结构设计优化应用研究——以某高架桥为例
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作者 段朝升 《四川建筑科学研究》 2026年第1期23-29,共7页
随着信息化技术的日益发展,建筑信息模型(building information modeling,BIM)技术已在建筑结构设计领域得到较为成熟的运用。对于一些结构复杂的建筑工程,在设计阶段解决结构和机电等专业的冲突,对于保障现场顺利施工至关重要。以新加... 随着信息化技术的日益发展,建筑信息模型(building information modeling,BIM)技术已在建筑结构设计领域得到较为成熟的运用。对于一些结构复杂的建筑工程,在设计阶段解决结构和机电等专业的冲突,对于保障现场顺利施工至关重要。以新加坡裕廊区域线登加车辆段与综合基地J101项目的高架桥为研究对象,采用REVIT软件进行三维可视化桥梁结构建模、参数化设计,最终解决了桥面板主筋与抗剪钢筋、剪力键钢筋、预埋管道等的冲突问题以及完成了工程量的自动统计,为工程项目带来了较好的经济效益。研究表明:BIM技术具有可视化、协同化、参数化等优点,能够显著提高建筑结构设计的质量和效率;本文为同类工程提供了可复制的数字化解决方案,对推动建筑行业技术进步及智能化转型具有重要示范价值。 展开更多
关键词 BIM技术 高架桥 REVIT软件 结构设计优化 工程量自动统计
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矿用特种车辆驾驶室动态响应特性及结构优化研究
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作者 马凤苹 《煤矿机械》 2026年第3期128-133,共6页
针对矿用特种车辆驾驶室在煤矿井下高振动、强冲击、多粉尘的极端工况下面临严峻的动态性能挑战,对某型铰接式矿用运输车驾驶室进行了动态响应特性分析与多目标优化研究。基于实测路谱与多体动力学理论,构建驾驶室-悬架-车架耦合系统动... 针对矿用特种车辆驾驶室在煤矿井下高振动、强冲击、多粉尘的极端工况下面临严峻的动态性能挑战,对某型铰接式矿用运输车驾驶室进行了动态响应特性分析与多目标优化研究。基于实测路谱与多体动力学理论,构建驾驶室-悬架-车架耦合系统动力学模型,通过Lagrange方程建立多体动力学方程,结合八通道数据采集系统获取30组典型工况载荷谱,模型精度经六自由度振动台验证,悬架阻尼系数与螺栓预紧力敏感性贡献度达73%。该研究通过轮胎系统改进与驾驶室结构重构,使一阶固有频率提升至67.28 Hz,与激励频带分离度达12.5%。优化后实验验证表明:座椅导轨垂直加速度峰值降幅73%,方向盘振动均方根(RMS)值降低70.8%,底板焊缝应变降低68%,疲劳寿命延长至原设计的3.2倍。矿山现场测试表明,驾驶员舒适性评分提升78.3%,振动相关故障率下降42%,年维护成本减少15%~20%。形成了动态性能驱动设计方法体系,为矿用车辆智能化升级提供了高可靠性结构设计范式,显著提升了井下作业安全性与装备人机工效水平。 展开更多
关键词 矿用特种车辆 动态响应 结构优化 多目标协同设计 人机工程性能
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Swarm intelligence for mixed-variable design optimization 被引量:7
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作者 郭创新 胡家声 +1 位作者 叶彬 曹一家 《Journal of Zhejiang University Science》 EI CSCD 2004年第7期851-860,共10页
Many engineering optimization problems frequently encounter continuous variables and discrete variables which adds considerably to the solution complexity. Very few of the existing methods can yield a globally optimal... Many engineering optimization problems frequently encounter continuous variables and discrete variables which adds considerably to the solution complexity. Very few of the existing methods can yield a globally optimal solution when the objective functions are non-convex and non-differentiable. This paper presents a hybrid swarm intelligence ap-proach (HSIA) for solving these nonlinear optimization problems which contain integer, discrete, zero-one and continuous variables. HSIA provides an improvement in global search reliability in a mixed-variable space and converges steadily to a good solution. An approach to handle various kinds of variables and constraints is discussed. Comparison testing of several examples of mixed-variable optimization problems in the literature showed that the proposed approach is superior to current methods for finding the best solution, in terms of both solution quality and algorithm robustness. 展开更多
关键词 Swarm intelligence Mixed variables Global optimization engineering design optimization
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A Knowledge-based and Extensible Aircraft Conceptual Design Environment 被引量:3
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作者 FENG Haocheng LUO Mingqiang LIU Hu WU Zhe 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2011年第6期709-719,共11页
Design knowledge and experience are the bases to carry out aircraft conceptual design tasks due to the high complexity and integration of the tasks during this phase. When carrying out the same task, different designe... Design knowledge and experience are the bases to carry out aircraft conceptual design tasks due to the high complexity and integration of the tasks during this phase. When carrying out the same task, different designers may need individual strategies to fulfill their own demands. A knowledge-based and extensible method in building aircraft conceptual design systems is studied considering the above requirements. Based on the theory, a knowledge-based aircraft conceptual design environment, called knowledge-based and extensible aircraft conceptual design environment (KEACDE) with open architecture, is built as to enable designers to wrap add-on extensions and make their own aircraft conceptual design systems. The architecture, characteristics and other design and development aspects of KEACDE are discussed. A civil airplane conceptual design system (CACDS) is achieved using KEACDE. Finally, a civil airplane design case is presented to demonstrate the usability and effectiveness of this v environment. 展开更多
关键词 conceptual design knowledge engineering aircraft aerodynamics structural design weight estimation multidisciplinary design optimization
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Discrete Optimization on Unsteady Pressure Fluctuation of a Centrifugal Pump Using ANN and Modified GA 被引量:3
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作者 Wenjie Wang Qifan Deng +2 位作者 Ji Pei Jinwei Chen Xingcheng Gan 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2023年第4期242-256,共15页
Pressure fluctuation due to rotor-stator interaction in turbomachinery is unavoidable,inducing strong vibration in the equipment and shortening its lifecycle.The investigation of optimization methods for an industrial... Pressure fluctuation due to rotor-stator interaction in turbomachinery is unavoidable,inducing strong vibration in the equipment and shortening its lifecycle.The investigation of optimization methods for an industrial centrifugal pump was carried out to reduce the intensity of pressure fluctuation to extend the lifecycle of these devices.Considering the time-consuming transient simulation of unsteady pressure,a novel optimization strategy was proposed by discretizing design variables and genetic algorithm.Four highly related design parameters were chosen,and 40 transient sample cases were generated and simulated using an automatic program.70%of them were used for training the surrogate model,and the others were for verifying the accuracy of the surrogate model.Furthermore,a modified discrete genetic algorithm(MDGA)was proposed to reduce the optimization cost owing to transient numerical simulation.For the benchmark test,the proposed MDGA showed a great advantage over the original genetic algorithm regarding searching speed and effectively dealt with the discrete variables by dramatically increasing the convergence rate.After optimization,the performance and stability of the inline pump were improved.The efficiency increased by more than 2.2%,and the pressure fluctuation intensity decreased by more than 20%under design condition.This research proposed an optimization method for reducing discrete transient characteristics in centrifugal pumps. 展开更多
关键词 Centrifugal pump Unsteady performance optimization discrete design variable discrete genetic algorithm
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Reliability Based Design Optimization of Aero-Engine Spindle Ball Bearings 被引量:2
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作者 杨静 孟德彪 +2 位作者 张小玲 汪忠来 许焕卫 《Journal of Donghua University(English Edition)》 EI CAS 2014年第6期853-855,共3页
Aero-engine spindle ball bearings work in harsh conditions which are affected by relatively complex stresses. One of the key factors which affects bearing performance is its structure. In this paper,we used reliabilit... Aero-engine spindle ball bearings work in harsh conditions which are affected by relatively complex stresses. One of the key factors which affects bearing performance is its structure. In this paper,we used reliability based design optimization method to solve the structure design problem of aero-engine spindle ball bearings.Compared with the optimization design method, the value of equivalent dynamic load using reliability optimization design method was the least by MATLAB simulation. Also the design solutions show that the optimized structure possesses higher reliability than the original solution. 展开更多
关键词 aero-engine spindle ball bearing complex stresses reliability based design optimization structure design
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A COMBINAT0RIAL ALGORITHM FOR THE DISCRETE OPTIMIZATION OF STRUCTURES
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作者 柴山 孙焕纯 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1997年第9期847-856,共10页
The definition of local optimum solution of the discrete optimization is first given.and then a comprehensive combinatorial algorithm is proposed in this paper. Two-leveloptimum method is used in the algorithm. In t... The definition of local optimum solution of the discrete optimization is first given.and then a comprehensive combinatorial algorithm is proposed in this paper. Two-leveloptimum method is used in the algorithm. In the first level optimization, anapproximate local optimum solution X is found by using the heuristic algorithm,relative difference quotient algorithm. with high computational efficiency and highperformance demonstrated by the performance test of random samples. In the secondlevel, a mathematical model of (- 1, 0, 1) programming is established first, and then itis changed into (0, 1) programming model. The local optimum solution X will befrom the (0. 1) programming by using the delimitative and combinatorial algorithm orthe relative difference quotient algorithm. By this algorithm, the local optimumsolution can be obtained certainly, and a method is provnded to judge whether or notthe approximate optimum solution obtained by heuristic algorithm is an optimumsolution. The above comprehensive combinatorial algorithm has higher computationalefficiency. 展开更多
关键词 discrete variables structural optimization combinatorial optimization local optimum solution
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