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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
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
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
Keywords: intelligent control cloud models qualitative reasoning inverted pendulum
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
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
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
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
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
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
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
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
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
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
Keywords: mathematical interruption hypothermia metabolic generation
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
Keywords: volatile organic compounds ultraviolet (UV) photodegradation biofilter modeling cost analysis
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
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
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
Keywords: renewable energy system bibliometrics mathematical programming optimization models solution methods
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
Keywords: mathematical Comparison computational complexity dimensionality corresponding
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
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
Keywords: friction pendulum bearing progressive collapse horizontal stiffness compressive arching action catenary
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
Keywords: mathematical diameter literature sub-cooling adiabatic capillary
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
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
Fuel optimal control of parallel hybrid electric vehicles
PU Jinhuan, YIN Chenliang, ZHANG Jianwu
Journal Article
Study of the mechanics of progressive collapse of FPB isolated beam-pier substructures
Jingcai ZHANG; Yong DING; Xinchun GUAN
Journal Article