Design and Research of the Gear Modification of Wind Turbine Gearbox by Chen Fangming, Wan Qingliang

“…The helix line modification of pinion is determined by the analysis of the deformation of the pinion,through the mathematical modeling of gear dynamics,a theoretical basis for transmission error is provided.The gear modification of output gear of a 2 MW wind turbine gearbox is carried out. …”
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Chip Thickness and Microhardness Prediction Models during Turning of Medium Carbon Steel by S. A. Alrabii, L. Y. Zumot

“…Chips were collected at different machining conditions and thickness and microhardness measurements taken and analyzed using “DESIGN EXPERT 7” experimental design software. Mathematical models of the responses (thickness and microhardness) as functions of the conditions (speed, feed, and depth of cut) were obtained and studied. …”
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Features of financial integration of the Eurasian Economic Union member states by B. G. Khairov, V. A. Kovalev, R. Kh. Khasanov

“…The authors use content analysis of regulatory acts and open information materials on mutual financial flows of Eurasian Economic Union member states, analysis of discrete institutional alternatives, mathematical modeling, etc. Based on the analysis carried out in the work, a list of proposals for further progressive development of integration processes in the Eurasian Economic Union was formulated. …”
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IMPACT ANALYSIS OF IMPELLER PARAMETERS ON THE WIND-ENERGY UTILIZATION COEFFICIENT OF VERTICAL AXIS WIND TURBINE by HU Cao Di, WANG ChangLu, WEI LeYu, QIAO XueTao

“…In order to have a better research on the effect factors of the vertical axis wind turbine wind-energy utilization coefficient,based on the multi-blade element momentum theory a Double Disk Multi-tube Model was established,and through mathematical modeling method to focus on the influence of chord length,radius and number of blades. …”
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An experimental approach to a variable-period damped oscillatory system similar to a bouncing ball and an adaptation to an electromagnetic brake by Tiago S. Pacheco, Edinei C. Paiva, Sebastião B. Amorim

“…The problem of a ball bouncing in n-hops, despite being a problem extremely easy to observe, is a problem treated by classical mechanics and which, to this day, is without an analytical solution, due to its complexity of mathematical modeling. In this work, we present and discuss experimental measurements for a damped mechanical oscillator that has characteristics identical to the problem of bouncing a ball performing n-hops. …”
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Multi-criteria path rationalization in the conditions of multi-type passenger transport systems by V. V. Egorov

“…The author carried out the research by means of mathematical modeling of the transport system in the form of its deterministic graph model. …”
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Kinetics and Equilibrium Studies on the Sorption of Manganese(II) and Nickel(II) onto Kaolinite and Bentonite by B. Sathyanarayana, K. Seshaiah

“…Freundlich and Langmuir's mathematical models were used to describe batch adsorption. …”
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Influence of Speed and Load on Meshing Impact of Spiral Bevel Gear by Zhai Xiangyi, Yang Jianjun, Hu Xinfang, Zhang Hua

“…In order to improve the smoothness of the transmission process of spiral bevel gears, the influence of speed and load on meshing impact in the transmission process is clarified. Firstly, the mathematic model of meshing impact of spiral bevel gear is established, and the force analysis of driven wheel is carried out. …”
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VIBRATION SUPPRESSION CHARACTERISTICS ANALYSIS OF TWO-PLANE AUTOMATIC BALL BALANCING DEVICE by WANG Zhi, CHEN HaiWei, SUN Zhen

“…A two-plane ball automatic balancing device for rigid rotors was analyzed. The mathematical models of two-plane automatic ball balancing device for double eccentric disk were established and derived the vibration differential equation by the Lagrange equation,the autonomous system was obtained by rotating coordinate transformation. …”
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Vibrational Diagnostics of Rotating Machinery Malfunctions by Agnes Muszynska

“…After presenting basic principles of machinery diagnostics, several specific malfunction symptoms supported by simple mathematical models are given. These malfunctions include unbalance, excessive radial load, rotor-to-stator rubbing, fluid-induced vibrations, loose stationary and rotating parts, coupled torsional/lateral vibration excitation, and rotor cracking. …”
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Analytical Techniques for Studying Fractional-Order Jaulent–Miodek System Within Algebraic Context by Yousuf Alkhezi, Ahmad Shafee

“…The proposed study seeks to investigate various analytical and numerical techniques for solving fractional differential equations, with a particular focus on their applications in mathematical modeling and scientific research within the field of algebra. …”
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Review on Mathematical and Mechanical Models of the Vocal Cord by L. Cveticanin

“…The corresponding mathematical models are the systems of coupled second-order differential equations which describe the vibrations of the symmetric and asymmetric vocal folds. …”
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Research on Meshing Simulation Analysis Method for Complex Flanks Based on Surface Synthesis Method by Li Jiaqi, Guo Yuliang, Wei Bingyang, Cao Xuemei

“…According to the space meshing theory, the mathematics model of conjugate surfaces is constructed. …”
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Modeling and simulation of meteor burst channel by Bing XIA, Linlin LI, Yanshan ZHENG

“…In the test of the actual performance of communication device and software based on meteor burst,a model of meteor burst communication channel was established to solve the complexity of channel and difficulty of measurement.By analyzing the mathematic models of meteor burst channel,single underdense meteor trail channel and single overdense meteor trial channel were modeled as basis.Underdense meteor cluster and multipath channel were proposed to built a hybrid model based on probability principles.Combining with meteor arrival interval model,the simulation of meteor burst channel was realized by C++ programming tool.The simulation result can provide underdense meteor trail,overdense meteor trial,underdense meteor cluster and multipath channel.It indicates that the characteristics of the meteor burst channel model are basically matched with those of real channel.The result verifies usability and justifiability of the model.…”
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Reconfigurable Articulated Robot Using Android Mobile Device by A.H. Rajpar, Ahmad. E. Eladwi, Imran Ali, Mohamed Bashir Ali Bashir

“…We introduce a set of conveniently composed kinematic and dynamic mathematical models for positioning the robot’s arms and, in our results and discussion section, calculate and report the torque required to move each joint.…”
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Scientific Activity and Contribution of Voldemārs Dāle (1922–2008), Honorary Doctor of the Latvian Academy of Sciences, to the Development of Power Engineering by Austra Avotiņa

“…The main areas of his scientific work include planning and forecasting methods of power system development; research on development problems of the Latvian and Baltic energy systems; methods of mathematical modelling of power systems considering the environmental factors. …”
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NONLINEAR OVERVOLTAGE LIMITER APPLICATION FOR INTERNAL OVER-VOLTAGE PROTECTION IN AVERAGE VOLTAGE NETWORKS by A. N. Bokhan, V. V. Krotenok

“…The main peculiar feature of the model is an account of m-lag time constant.A mathematical modeling of transitional processes in distribution networks with NOL has been made.Over-voltages in the calculative experiment at arcing ground for load diagram have accounted for 3.2 Uf, that corresponds to the results of field tests.…”
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Preface for the special issue of Mathematical Biosciences and Engineering, BIOCOMP 2012 by Aniello Buonocore, Antonio Di Crescenzo, Alan Hastings

“…The International Conference ``BIOCOMP2012 - Mathematical Modeling and Computational Topics in Biosciences'',was held in Vietri sul Mare (Italy), June 4-8, 2012. …”
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RESEARCH ON MECHANISM AND INFLUEBTIAL FACTORS OF TORSIONAL VIBRATION OF MAIN DRIVE ELECTROMECHANICAL COUPLED SYSTEM OF ROLLING MILL by GAO ChongYi, WEI YunPing, QIN HongXing, XIAO ChunYing, LI JianXiong

“…Then,the mechanical and mathematical models of the main drive torsional vibration system are established. …”
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Higher-order topology for collective motions by Zijie Sun, Tianjiang Hu

“…Abstract Collective motions are prevalent in various natural groups, such as ant colonies, bird flocks, fish schools and mammal herds. Physical or mathematical models have been developed to formalize and/or regularize these collective behaviors. …”
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