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Numerical analysis of strongly nonlinear oscillation systems using He’s max-min method

H. BABAZADEH, G. DOMAIRRY, A. BARARI, R. AZAMI, A. G. DAVODI

《机械工程前沿（英文）》 2011年第6卷第4期页码 435-441 doi: 10.1007/s11465-011-0243-x

摘要：

Nonlinear functions are crucial points and terms in engineering problems. Actual and physical problems can be solved by solving and processing such functions. Thus, most scientists and engineers focus on solving these equations. This paper presents a novel method called the max-min method for presenting an accurate approximate analytical solution to strong nonlinear oscillators. It can solve many linear or nonlinear differential equations without the tangible restriction of sensitivity to the degree of the nonlinear term. It is also quite convenient due to the reduction in the size of calculations. The algorithm suggests a promising approach and is systematically illustrated step by step.

关键词： min-max method nonlinear oscillation duffing equation mathematical pendulum He’s energy balance method

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三级倒立摆的云控制方法及动平衡模式

李德毅

《中国工程科学》 1999年第1卷第2期页码 41-46

摘要：

文章提出了定性和定量之间转换的云模型的形式化表示方法，用来反映语言值中蕴涵的模糊性和随机性，给出云发生器的生成算法，解释多条定性推理规则同时被激活时的不确定性推理机制。利用这种智能控制方法有效地实现了单电机控制的一、二、三级倒立摆的多种不同动平衡姿态，显示其鲁棒性，并给出了详细试验结果。研究成果不仅可用于对太空飞行器以及机器人控制，而且对揭示定性定量转换规律和策略具有普遍意义。

关键词：智能控制云模型定性推理倒立摆

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自然对流气体的摆特性及其在传感器中应用

张福学

《中国工程科学》 2002年第4卷第8期页码 50-53

摘要：

根据自然对流气体具有摆的特性，从而提出气体摆新概念。分析了密闭腔中自然对流气体的浮升力，给出浮升力与温度变化的关系式。试验结果表明，与固体摆、液体摆一样，利用气体摆原理亦能检测加速度和倾角。

关键词：气体的摆特性倾角传感器加速度计

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数学推理挑战人工智能

Sean O’Neill

《工程（英文）》 2019年第5卷第5期页码 817-818 doi: 10.1016/j.eng.2019.08.009

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基于Lagrange方程建模的单级旋转倒立摆控制

吴爱国,张小明,张钊

《中国工程科学》 2005年第7卷第10期页码 11-15

摘要：

介绍一种新型单级旋转倒立摆系统的构成，通过对其动力学特性的分析建立了基于Lagrange方程的数学模型。在平衡点附近给出系统的线性化模型，对系统的稳定性、能控性和能观性进行了分析。利用线性二次型最优控制策略LQR方法设计了控制器，并在仿真实验和实物实验中实现了倒立摆的平衡控制。实验表明，系统稳定性好、鲁棒性较强。

关键词：旋转倒立摆 Lagrange方程最优控制策略LQR

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Prediction of cutting force in turning of UD-GFRP using mathematical model and simulated annealing

Meenu GUPTA, Surinder Kumar GILL

《机械工程前沿（英文）》 2012年第7卷第4期页码 417-426 doi: 10.1007/s11465-012-0343-2

摘要：

Glass fiber reinforced plastics (GFRPs) composite is considered to be an alternative to heavy exortic materials. According to the need for accurate machining of composites has increased enormously. During machining, the obtaining cutting force is an important aspect. The present investigation deals with the study and development of a cutting force prediction model for the machining of unidirectional glass fiber reinforced plastics (UD-GFRP) composite using regression modeling and optimization by simulated annealing. The process parameters considered include cutting speed, feed rate and depth of cut. The predicted values radial cutting force model is compared with the experimental values. The results of prediction are quite close with the experimental values. The influences of different parameters in machining of UD-GFRP composite have been analyzed.

关键词： UD-GFRP ANOVA radial cutting force PCD tool Taguchi method regression analysis simulated annealing multi objective techniques

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大型农业生态工程的数学模型

卞有生,王天喜,陈正龙,崔斌

《中国工程科学》 2002年第4卷第7期页码 17-22

摘要：

文章在对胜利油田生态农场系统结构分析的基础上，根据农场规划目标，建立了由投入产出模型和线性规划模型相结合的经济发展数学模型。应用该模型指导农场的经济建设，取得了极好的效果，证明所建立的模型是正确的。

关键词：农业生态工程数学模型胜利油田

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Cooling strategies and transport theories for brain hypothermia resuscitation

LIU Jing

《能源前沿（英文）》 2007年第1卷第1期页码 32-57 doi: 10.1007/s11708-007-0004-z

摘要： The brain is one of the most important organs in a biological body whose normal function depends heavily on an uninterrupted delivery of oxygen. Unlike skeletal muscles that can survive for hours without oxygen, neuron cells in the brain are easily subjected to an irreversible damage within minutes from the onset of oxygen deficiency. With the interruption of cardiopulmonary circulation in many cardiac surgical procedures or accidental events leading to cerebral circulation arrest, an imbalance between energy production and consumption will occur which causes a rapid depletion of oxygen due to the interrupted blood-flow to the brain. Meanwhile, the cooling function of the blood flow on the hot tissue will be stopped, while metabolic heat generation in the tissues still keeps running for awhile. Under such adverse situations, the potential for cerebral protection through hypothermia has been intensively investigated in clinics by lowering brain temperature to restrain the cerebral oxygen demands. The reason can be attributed to the decreased metabolic requirements of the cold brain tissues, which allows a longer duration for the brain to endure reduced oxygen delivery. It is now clear that hypothermia would serve as the principal way for neurologic protection in a wide variety of emergency medicines, especially in cerebral damage, anoxia, circulatory arrest, respiratory occlusion, etc. However, although brain cooling has been found uniquely significant in clinical practices, the serious lack of knowledge on the mechanisms involved prevents its further advancement in brain resuscitation. Compared with the expanded trials in clinics, only very limited efforts were made to probe the engineering issues involved, which turns out to be a major obstacle for the successful operation of brain hypothermia resuscitation. From the viewpoint of biothermal medical engineering, the major theories and strategies for administering brain cooling can generally be classified into three categories: heat transfer, oxygen transport and cooling strategy. Aiming to provide a complete overview of the brain hypothermia resuscitation, this article comprehensively summarizes the recent progresses made in theoretical, practical and experimental techniques in the area. Particularly, attention is paid to the mathematical models to quantify the heat and oxygen transport inside the cerebral tissues. Typical cooling strategies to effectively lower brain temperature and thus decrease oxygen consumption rate in the cerebral tissues are analyzed. Approaches to deliver oxygen directly to the target tissues are discussed. Meanwhile, some future efforts worth pursuing within the area of brain cooling are suggested.

关键词： mathematical interruption hypothermia metabolic generation

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and cost analysis of combined ultraviolet-biofilter systems treating gaseous chlorobenzene based on mathematical

Can WANG, Jinying XI, Hongying HU, Insun KANG

《环境科学与工程前沿（英文）》 2012年第6卷第4期页码 588-594 doi: 10.1007/s11783-012-0433-8

摘要： A conceptual mathematical model was used to evaluate the design parameters of a combined ultraviolet (UV)-biofilter system, and perform a cost analysis. Results showed that the UV light source strength and the gas residence times in the UV system (UVRT) and biofilter (EBRT) had positive effects on the overall chlorobenzene removal efficiency of the system. High ratio of UVRT to EBRT improved the removal efficiency, suggesting that the UV system has a greater effect on the overall performance of the system compared with the biofilter. Analysis of the capital and operating costs showed that the capital costs of the standalone biofilter system were much higher than those of the standalone UV system. However, the biofilter operating costs were lower than those of the UV system. The operating costs of the combined UV-biofilter system increased with increasing UVRT/EBRT ratio, whereas its capital costs decreased.

关键词： volatile organic compounds ultraviolet (UV) photodegradation biofilter modeling cost analysis

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热处理数学模型与计算机模拟

潘健生,张伟民,田东,顾剑锋,胡明娟

《中国工程科学》 2003年第5卷第5期页码 47-54

摘要：

热处理计算机模拟是热处理智能化的基础。采用三维非线性有限元模型和界面条件突变的处理方法实现了几种复杂形状零件在复杂的淬火操作过程中温度场、相变、应力和应变的模拟，模拟结果与实测结果基本相符。将气体渗碳的计算机模拟与计算机控制技术相结合，研制成功智能型密封多用炉自动生产线，已处理渗碳件3 000炉次以上，全部合格。计算机模拟技术的应用明显提高渗碳和渗氮零件的承载能力和可靠性，减少热处理变形，缩短渗碳时间。建议将机械产品的CAD、选材与热处理的CAE和产品可靠性的动力评估技术相结合，进行高可靠而又无冗余的产品设计。

关键词：热处理数学模型计算机模拟智能化

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A review of optimization modeling and solution methods in renewable energy systems

《工程管理前沿（英文）》页码 640-671 doi: 10.1007/s42524-023-0271-3

摘要： The advancement of renewable energy (RE) represents a pivotal strategy in mitigating climate change and advancing energy transition efforts. A current of research pertains to strategies for fostering RE growth. Among the frequently proposed approaches, employing optimization models to facilitate decision-making stands out prominently. Drawing from an extensive dataset comprising 32806 literature entries encompassing the optimization of renewable energy systems (RES) from 1990 to 2023 within the Web of Science database, this study reviews the decision-making optimization problems, models, and solution methods thereof throughout the renewable energy development and utilization chain (REDUC) process. This review also endeavors to structure and assess the contextual landscape of RES optimization modeling research. As evidenced by the literature review, optimization modeling effectively resolves decision-making predicaments spanning RE investment, construction, operation and maintenance, and scheduling. Predominantly, a hybrid model that combines prediction, optimization, simulation, and assessment methodologies emerges as the favored approach for optimizing RES-related decisions. The primary framework prevalent in extant research solutions entails the dissection and linearization of established models, in combination with hybrid analytical strategies and artificial intelligence algorithms. Noteworthy advancements within modeling encompass domains such as uncertainty, multienergy carrier considerations, and the refinement of spatiotemporal resolution. In the realm of algorithmic solutions for RES optimization models, a pronounced focus is anticipated on the convergence of analytical techniques with artificial intelligence-driven optimization. Furthermore, this study serves to facilitate a comprehensive understanding of research trajectories and existing gaps, expediting the identification of pertinent optimization models conducive to enhancing the efficiency of REDUC development endeavors.

关键词： renewable energy system bibliometrics mathematical programming optimization models solution methods

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Fuel optimal control of parallel hybrid electric vehicles

PU Jinhuan, YIN Chenliang, ZHANG Jianwu

《机械工程前沿（英文）》 2008年第3卷第3期页码 337-342 doi: 10.1007/s11465-008-0057-7

摘要： A mathematical model for fuel optimal control and its corresponding dynamic programming (DP) recursive equation were established for an existing parallel hybrid electric vehicle (HEV). Two augmented cost functions for gear shifting and engine stop-starting were designed to limit their frequency. To overcome the problem of numerical DP dimensionality, an algorithm to restrict the exploring region was proposed. The algorithm significantly reduced the computational complexity. The system model was converted into real-time simulation code by using MATLAB/RTW to improve computation efficiency. Comparison between the results of a chassis dynamometer test, simulation, and DP proves that the proposed method can compute the performance limitation of the HEV within an acceptable time period and can be used to evaluate and optimize the control strategy.

关键词： mathematical Comparison computational complexity dimensionality corresponding

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突破数学极限——流体神经网络

Dana Mackenzie

《工程（英文）》 2021年第7卷第5期页码 550-551 doi: 10.1016/j.eng.2021.03.009

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Study of the mechanics of progressive collapse of FPB isolated beam-pier substructures

Jingcai ZHANG; Yong DING; Xinchun GUAN

《结构与土木工程前沿（英文）》 2022年第16卷第6期页码 718-728 doi: 10.1007/s11709-022-0815-3

摘要： The horizontal stiffness of the isolated layer is reduced substantially by a friction pendulum bearing (FPB) toprotectthe structure from potential damages caused by earthquakes. However, horizontal stiffness is essential to progressive collapse resistance of structures. This paper presents a simplified model to assess the progressive collapse response of beam-pier substructure isolated by FPB. Progressive collapse resistance by flexural action of the beam and additional resistance owing to the horizontal restraining force was achieved. The influences of the equivalent radius and friction coefficient of the FPB, the applied axial force on the FPB, and span-depth ratio of the beam on the additional resistance were investigated. Simulations were conducted to verify the proposed model. The results show that progressive collapse resistance provided by horizontal restraining can be reduced as large as 46% and 88% during compressive arching action (CAA) and catenary action (CA), respectively. The equivalent radius of the FPB shows limited effect on the progressive collapse response of FPB isolated structures, but friction coefficient and applied axial force, as well as depth ratio of the beam, show significant influences on the additional progressive collapse resistance capacity. Finite element method (FEM) results are in good agreement with the result obtained by the proposed method.

关键词： friction pendulum bearing progressive collapse horizontal stiffness compressive arching action catenary action

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Simulation on refrigerant flow in adiabatic capillary tube

WANG Meixia, LIU Cunfang, ZHOU Qiangtai

《机械工程前沿（英文）》 2008年第3卷第3期页码 332-336 doi: 10.1007/s11465-008-0054-x

摘要： This paper proposes a new mathematical model to calculate flow characteristics of the adiabatic capillary tube, which is aimed at solving problems existing in some earlier models. The Stocker’s model was modified with consideration of various effects due to sub-cooling, area concentration, and rolling diameter. The new model can be used not only for R22, but also for its substitutes such as R410A and R407C. A comparison of simulation results of the modified model with those in literature showed that the errors are within 10%. The flow characteristics are finally analyzed.

关键词： mathematical diameter literature sub-cooling adiabatic capillary