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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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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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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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analysis on the positive half-cell of a cerium redox flow battery using computational fluid dynamics: Mathematical

Fernando F. Rivera, Berenice Miranda-Alcántara, Germán Orozco, Carlos Ponce de León, Luis F. Arenas

Frontiers of Chemical Science and Engineering 2021, Volume 15, Issue 2, Pages 399-409 doi: 10.1007/s11705-020-1934-9

Abstract: Description of electrolyte fluid dynamics in the electrode compartments by mathematical models can be

Keywords： CFD simulation porous media porous electrode pressure drop redox flow battery

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Meshless numerical method based on tensor product

SUN Haitao, WANG Yuanhan, MIAO Yu

Frontiers of Structural and Civil Engineering 2008, Volume 2, Issue 2, Pages 166-171 doi: 10.1007/s11709-008-0021-y

Abstract: Numerical examples illustrate that the proposed method is characterized by simple mathematical concept

Keywords： mathematical continuity inversion selection efficient

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Determination of the scheme of precision grinding compensation on the radome

GUO Dongming, LIU Minjing, ZHANG Chunbo, SHENG Xianjun, SUN Yuwen

Frontiers of Mechanical Engineering 2007, Volume 2, Issue 3, Pages 263-266 doi: 10.1007/s11465-007-0045-3

Abstract: distribution and the radome s boresight error performance, which could hardly be solved by a purely mathematicalAn effective approach combining theoretical analysis and mathematical calculations with experimental

Keywords： mathematical effective approach experimental measurement antenna electromagnetic

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Stress-strain relationship with soil structural parameters of collapse loess

SHAO Shengjun, LONG Jiyong, YU Qinggao

Frontiers of Structural and Civil Engineering 2008, Volume 2, Issue 2, Pages 151-160 doi: 10.1007/s11709-008-0020-z

Abstract: the changing laws of soil structural property under the tri-axial stress conditions and establishes a mathematical

Keywords： hardening shearing expansion unsaturated structural property mathematical expression

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Functional tolerance theory in incremental growth design

YANG Bo, ZE Xiangbo, YANG Tao

Frontiers of Mechanical Engineering 2007, Volume 2, Issue 3, Pages 336-343 doi: 10.1007/s11465-007-0059-x

Abstract: A mathematical model with a correlated sensitivity function between cost and the tolerance is createdIn the mathematical model, the minimum cost is used as the objective function; a reasonable process capability

Keywords： successful transformation mathematical automation technology tolerance allocation minimum