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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

Frontiers of Mechanical Engineering 2011, Volume 6, Issue 4,   Pages 435-441 doi: 10.1007/s11465-011-0243-x

Abstract:

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.

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

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The Cloud Control Method and Balancing Patterns of Triple Link Inverted Pendulum Systems

Li Deyi

Strategic Study of CAE 1999, Volume 1, Issue 2,   Pages 41-46

Abstract: simultaneously.The cloud theory has been successfully applied to balance one-, two- and three-link inverted pendulum

Keywords： intelligent control     cloud models     qualitative reasoning     inverted pendulum    

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The Pendulum Characteristic of Natural Convection Gas and the Application for Sensor

Zhang Fuxue

Strategic Study of CAE 2002, Volume 4, Issue 8,   Pages 50-53

Abstract:

It is discovered that the natural convection gas has the pendulum characteristic, so the new conceptof gas pendulum is presented.The results of experiment have shown that gas pendulum can be utilized to measure the acceleration andtilt angle as same as solid pendulum and liquid pendulum.

Keywords： gas pendulum characteristic     tilt sensor     accelerometer    

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Mathematical Reasoning Challenges Artificial Intelligence

Sean O’Neill

Engineering 2019, Volume 5, Issue 5,   Pages 817-818 doi: 10.1016/j.eng.2019.08.009

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A Control System Based on the Lagrange Modeling Method for a Single Link Rotary Inverted Pendulum

Wu Aiguo,Zhang Xiaoming,Zhang Zhao

Strategic Study of CAE 2005, Volume 7, Issue 10,   Pages 11-15

Abstract:

In this paper the design and realization of the rotary inverted pendulum (RIP) control system is presentedquadratic regulator (LQR) is designed and implemented on the RIP system by successfully balancing the pendulum

Keywords： rotary inverted pendulum     Lagrange method     LQR control strategy    

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

Meenu GUPTA, Surinder Kumar GILL

Frontiers of Mechanical Engineering 2012, Volume 7, Issue 4,   Pages 417-426 doi: 10.1007/s11465-012-0343-2

Abstract:

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.

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

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The Mathematical Model for Large-sized Agro-ecological Engineering

Bian Yousheng,Wang Tianxi,Chen Zhenglong,Cui Bin

Strategic Study of CAE 2002, Volume 4, Issue 7,   Pages 17-22

Abstract:

This paper has set up a mathematical model of economic development, which combines the linear programIt has achieved satisfactory results in eight years by means of the mathematical model to guide the economic

Keywords： agro-ecological engineering     mathematical model     Shengli Oil Fields    

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Cooling strategies and transport theories for brain hypothermia resuscitation

LIU Jing

Frontiers in Energy 2007, Volume 1, Issue 1,   Pages 32-57 doi: 10.1007/s11708-007-0004-z

Abstract: Particularly, attention is paid to the mathematical models to quantify the heat and oxygen transport

Keywords： 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

Frontiers of Environmental Science & Engineering 2012, Volume 6, Issue 4,   Pages 588-594 doi: 10.1007/s11783-012-0433-8

Abstract: A conceptual mathematical model was used to evaluate the design parameters of a combined ultraviolet

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

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Mathematical Model of Heat Treatment and Its Computer Simulation

Pan Jiansheng,Zhan Weimin,Tian Dong,Gu Jianfeng,Hu Mingjuan

Strategic Study of CAE 2003, Volume 5, Issue 5,   Pages 47-54

Abstract:

Computer simulation on heat treatment is the foundation of intelligent heat treatment. The simulation of temperature field, phase transformation, stress/strain in complicate quenching operation has been realized with the three dimensional non-linear finite element method model and the methods of treating for abruptly changed interface conditions. The simulation results basically fit those measured in experiments. A production line with intelligent sealed multipurpose furnace has been developed based on the combination of computer simulation on gaseous carburizing and computer control technology. More than 3 000 batches of workpieces have been processed, and all are up to standard. The application of computer simulation technology can significantly improve the load-carrying ability and reliability of the nitriding and carburizing workpieces, reduce heat treatment distortion, and shorten carburizing duration. It is recommended that the reliable product design without redundancy be performed with the combination between the CAD of mechanical products, the CAE of materials selection and heat treatment, and the dynamic evaluation technology of product reliability.

Keywords： heat treatment     mathematical model     computer simulation     intellectualization    

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

Frontiers of Engineering Management   Pages 640-671 doi: 10.1007/s42524-023-0271-3

Abstract: 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.

Keywords： 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

Frontiers of Mechanical Engineering 2008, Volume 3, Issue 3,   Pages 337-342 doi: 10.1007/s11465-008-0057-7

Abstract: A mathematical model for fuel optimal control and its corresponding dynamic programming (DP) recursive

Keywords： mathematical     Comparison     computational complexity     dimensionality     corresponding    

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Pushing Mathematical Limits, a Neural Network Learns Fluid Flow

Dana Mackenzie

Engineering 2021, Volume 7, Issue 5,   Pages 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

Frontiers of Structural and Civil Engineering 2022, Volume 16, Issue 6,   Pages 718-728 doi: 10.1007/s11709-022-0815-3

Abstract: The horizontal stiffness of the isolated layer is reduced substantially by a friction pendulum bearing

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

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Simulation on refrigerant flow in adiabatic capillary tube

WANG Meixia, LIU Cunfang, ZHOU Qiangtai

Frontiers of Mechanical Engineering 2008, Volume 3, Issue 3,   Pages 332-336 doi: 10.1007/s11465-008-0054-x

Abstract: This paper proposes a new mathematical model to calculate flow characteristics of the adiabatic capillary

Keywords： mathematical     diameter     literature     sub-cooling     adiabatic capillary    

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Title Author Date Type Operation

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

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

Journal Article

The Cloud Control Method and Balancing Patterns of Triple Link Inverted Pendulum Systems

Li Deyi

Journal Article

The Pendulum Characteristic of Natural Convection Gas and the Application for Sensor

Zhang Fuxue

Journal Article

Mathematical Reasoning Challenges Artificial Intelligence

Sean O’Neill

Journal Article

A Control System Based on the Lagrange Modeling Method for a Single Link Rotary Inverted Pendulum

Wu Aiguo,Zhang Xiaoming,Zhang Zhao

Journal Article

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

Meenu GUPTA, Surinder Kumar GILL

Journal Article

The Mathematical Model for Large-sized Agro-ecological Engineering

Bian Yousheng,Wang Tianxi,Chen Zhenglong,Cui Bin

Journal Article

Cooling strategies and transport theories for brain hypothermia resuscitation

LIU Jing

Journal Article

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

Can WANG, Jinying XI, Hongying HU, Insun KANG

Journal Article

Mathematical Model of Heat Treatment and Its Computer Simulation

Pan Jiansheng,Zhan Weimin,Tian Dong,Gu Jianfeng,Hu Mingjuan

Journal Article

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

Journal Article

Fuel optimal control of parallel hybrid electric vehicles

PU Jinhuan, YIN Chenliang, ZHANG Jianwu

Journal Article

Pushing Mathematical Limits, a Neural Network Learns Fluid Flow

Dana Mackenzie

Journal Article

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

Jingcai ZHANG; Yong DING; Xinchun GUAN

Journal Article

Simulation on refrigerant flow in adiabatic capillary tube

WANG Meixia, LIU Cunfang, ZHOU Qiangtai

Journal Article