RESEARCH CONCAVE CIRCULAR HOLE TEMPLATE LINEAR VARIABLE THICKNESS STIFFNESS AND STRENGTH THEORIES by LI ShaoJie

“…This paper studies linear variable thickness circular aperture concave template theory of stiffness and strength calculation.First,set up mechanical model:Template for circular concave,outside the perimeter fixed; center has a round hole,inside the perimeter free,outside under uniformly distributed vertical load.Secondly,the establishment of mathematical model:Derivation of concave template in the axisymmetric condition,ordinary differential equation with variable coefficients of elastic curved surface,and gives the mathematical expressions of boundary conditions.Again,in view of the differential equation boundary value problem,the displacement method and the Matlab algorithm,it is concluded that the deflection of concave template function,and establish the stiffness calculation condition of concave template.Then,determine the concave template on the bending moment and the maximum bending moment and stress,so as to establish a concave template strength calculation conditions.Finally,numerical examples.This paper presents the function solutions,to change law of control concave template section variable parameters.In this way,not only highlight the interdependent relationship between the quantity of each,and optimization,and discussion and application.The result is suitable for uniform,continuous,isotropic material artifacts.Because in the process of calculation and data processing with error,so the formula is similar.…”
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RELATIONSHIP BETWEEN INTERNAL PRESSURE AND CAVITY VOLUME CHANGE BASED ON LIQUID IMPACT LOADING TO BIMETALLIC THIN-WALLED TUBES by LIU JianWei, SUN ChangYing, LI YuHan, YAO XinQi, FAN XiangWen

“…Secondly,theory of internal pressure was analyzed in the process of the axial impact hydraulic performing and the radial forming of bimetallic thinwalled tubes. Mathematical model between the internal pressure and volume change in the tube blank cavity was obtained.Thirdly,generation regularity of internal pressure of the axial and the radial liquid impact of the bimetallic thin-walled tubes was performed using ANSYS WORKBENCH. …”
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A hydraulic track drive systems resistive force simulation: Considerations for system electrification by Hugh Coyle, Charles Young, Nicola Anderson, Lee Johnston, Robert Gilmour

“…An overview of hydraulic track drive systems employed in mobile rock crushers for the mining industry is provided. A mathematical model was developed to analyse thrust and resistive forces experienced during typical machine operations, including flat-plane tracking, incline climbing, and pivot turning. …”
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Decoupling microbial iron reduction from anoxic microsite formation in oxic sediments: a microscale investigation through microfluidic models by Giulia Ceriotti, Alice Bosco-Santos, Sergey M. Borisov, Jasmine S. Berg

“…Moreover, our mathematical modeling of oxygen dynamics around biomass-rich layers revealed that the onset of anoxia is mainly controlled by biomass spatial organization rather than the conventionally used water saturation index. …”
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Prediction and design optimization of mechanical properties for rubber fertilizer hose reinforced with helically wrapped nylon by Mengfan Wang, Lixin Zhang, Changxin Fu

“…First, a finite element simulation model and a mathematical model were established to analyze the influence of fiber layer arrangement on the maximum shear strain on the coaxial surface (MSS) and the reaction force on the extrusion roller (RF). …”
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Understanding pectin cross-linking in plant cell walls by Irabonosi Obomighie, Iain J. Prentice, Peter Lewin-Jones, Fabienne Bachtiger, Nathan Ramsay, Chieko Kishi-Itakura, Martin W. Goldberg, Tim J. Hawkins, James E. Sprittles, Heather Knight, Gabriele C. Sosso

“…This study employs a multidisciplinary approach, combining molecular dynamics simulations, experimental investigations, and mathematical modelling, to elucidate the mechanism of pectin cross-linking and its effect on cell wall porosity. …”
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Improved DFA algorithm based on multi-dimensional finite automata by ONGYang-yang G, IUQin-rang L, ANGZhen-xi Y, HAOXiang-yu S, INGChi-qiang X, IAOHui-juan J, ENGZhi-bin P

“…Compiling multiple regular expression signatures into a combined DFA can blowup in state and storage space.Explanations from the prospective of information theory and multi-dimensional mathematical model were proposed fo-cusing on the most serious state explosion.Redundancy states were divided into zero-dimensional ones and one-dimensional ones.The former were compressed by dimension,and the later were dynamically built.The space com-plexity of the model came to the theoretical lower bound by the above methods.Then the multi-dimensional finite auto-mata (MFA) was proposed with the model.Experiments show that,the construction time taken by MFA is slightly less than XFA and is 2～3 orders of magnitude lower than DFA,STT redundancy compression algorithms and Hybrid-FA; the memory space of MFA is slightly higher than XFA,but is 1～2 orders of magnitude lower than DFA,STT redundancy compression algorithms,mDFA and Hybrid-FA; in the aspect of matching time,MFA ranks after DFA and Hybrid-FA,but ranks before XFA,and it achieves 1～2 orders of magnitude lower than that of STT redundancy compression algo-rithms and mDFA.…”
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Research on a New Control System Based on L1 Adaptive Control Scheme for the Voice Coil Motor by Huaiguo Jing, Ying Li, Bo Li, Shuo Huang, RuiDian Zhan, Hao Li, Xuexi Zhang

“…First, it briefly analyzes the working principle and control method of the voice coil motor, and then constructs the uncertain parameter model according to the mathematical model of the voice coil motor. The closed-loop system of voice coil motor is simulated and analyzed by L1 adaptive controller. …”
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Research on boundary control of vehicle-mounted flexible manipulator based on partial differential equations. by Yuzhi Tang

“…We present a novel mathematical model, derived using Hamilton's principle, which simplifies the analysis of the arm's dynamic behaviors by employing partial differential equations (PDEs). …”
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Results of novel theoretical approaches show a possible underestimation of building materials contribution to indoor radon levels by Maiorana Andrea, Di Carlo Christian, Ampollini Marco, Antignani Sara, Caprio Mario, Carpentieri Carmela, Bochicchio Francesco

“…Abstract The mathematical modelling represents one of the main possibilities to assess the radon gas coming out from building structures in a dwelling, especially in preventive strategies. …”
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Modelling transmission and control of Toxoplasma gondii in New Zealand farmland by Rachelle N. Binny, Graham J. Hickling, Alex James, Chris N. Niebuhr

“…Predator control of rodents and feral cats has potential to reduce or even eliminate transmission of T. gondii on farms; however, the efficacy of such management is uncertain. We apply a mathematical model of T. gondii transmission dynamics in feral cat and rodent populations in New Zealand farmland and simulate varying intensities of predator control to predict changes in T. gondii prevalence and environmental contamination levels over time. …”
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Modeling and Analysis of Fasciola Hepatica Disease Transmission by Dagnaw Tantie Yihunie, Joseph Y. T. Mugisha, Dawit Melese Gebru, Haileyesus Tessema Alemneh

“…In this paper, a mathematical model for the transmission dynamics of Fasciola hepatica in cattle and snail populations is formulated and analyzed. …”
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In the Search of Fundamental Inner Bond Strength of Solid Elements by Maziar Sahba Yaghmaee, Reza Riahifar

“…Therefore, in order to study the effect of the nature of metallic bond on their physico-chemical properties, we first tried to investigate and introduce a mathematical model for transforming the bulk molar cohesion energy into microscopic bond strengths between atoms. …”
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FPGA Implementation of Reconfigurable Finite State Machine with Input Multiplexing Architecture Using Hungarian Method by Nitish Das, P. Aruna Priya

“…The mathematical model for designing a complex digital system is a finite state machine (FSM). …”
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Increasing survival time decreases the cost-effectiveness of using "test & treat to eliminate HIV epidemics by Bradley G. Wagner, Brian J. Coburn, Sally Blower

“…., universal ``test & treat'') could lead to HIV elimination and would be extremely cost-effective.It is now being debated whether to use a universal ``test and treat'' approach in the ``real-world'' as a prevention strategy to control HIV epidemics.However current modeling predictions of the impact, and cost-effectiveness, of universal ``test & treat'' strategies are based on an unrealistically short survival time for treated individuals.Here we use mathematical modeling and a longer, more realistic, survival time.We model the potential impact of a universal ``test & treat'' strategy in South Africa.Our results show that increasing the length of the survival time on treatment, although beneficial to individuals, reduces the probability of eliminating HIV and decreases the cost-effectiveness of using universal ``test & treat'' strategies.Therefore our results show that individual-level benefits and public health benefits will conflict when using ``test & treat'' strategies to reduce HIV transmission.…”
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Influence of Error Factors on Transmission Contact for Spiral Bevel Gears by Wang Mingyang, Li Shuwen, Sun Yuehai

“…Firstly, based on the cutter head approximation machining method, a tooth flank mathematical model of the line contact spiral bevel gear is developed, and the correctness of this model is verified. …”
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ANALYSIS OF DYNAMIC CHARACTERISTICS OF SPHERICAL HYBRID SLIDING BEARINGS BASED ON ORIFICE THROTTLING (MT) by CHEN YuFei, SHEN JingFeng, ZHOU YiHao

“…Taking the spherical sliding bearings with orifice throttling as the research object, the mathematical model of lubrication of spherical hybrid sliding bearings is established and the Reynolds equation under laminar flow state is deduced from this model. …”
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Determine the Inflow Performance Relationship of Water Producing Gas Well Using Multiobjective Optimization Method by Xiao-Hua Tan, Jian-Yi Liu, Jia-Hui Zhao, Xiao-Ping Li, Guang-Dong Zhang, Chuan Tang, Li Li

“…Based on the basic theory of fluid mechanics in porous medium, using the principle of mass conservation, and considering the process of dissolution and volatilization of gas and water formation, this paper establishes a new mathematical model of gas-water two-phase flow. Multiobjective optimization method is used to automatically match the sample well production data in water drive gas reservoirs and then we can achieve the sample well’s productivity equation, relative permeability curve, water influx intensity, and single well controlled reserves. …”
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Nonlinearity modeling for online estimation of industrial cooling fan speed subject to model uncertainties and state-dependent measurement noise by Peng Chao-Chung, Tsai Min-Che, Chen Tsai-Ying

“…To address these issues, this study employs the unscented Kalman filter (UKF) algorithm, incorporating state-dependent noise modeling and mathematical modeling of parameter uncertainties. An UKF-based parameter update mechanism is developed to compensate for model uncertainties and estimation errors, improving the speed estimation accuracy. …”
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An Integrated Model for Production Planning and Cell Formation in Cellular Manufacturing Systems by Reza Raminfar, Norzima Zulkifli, Mohammadreza Vasili, Tang Sai Hong

“…In this paper, a mathematical model is developed using an integrated approach for production planning and cell formation problems in a CM. …”
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