Some features of implementation of design model of high-pressure centrifugal compressor stage with inlet guide vanes by V. V. Karabanova, A. D. Vanyashov, V. L. Yusha

“…The analysis of implementation features of the mathematical model of a transonic centrifugal compressor stage with an input guide vanes (IGV) and a semi-open axial-radial impeller has been carried out. …”
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Optimization Design of Mixed Discrete Variable based on Variable Transformation Method by Lian Qinghui, Lan Zhaohui

“…The deficiency of mixed discrete variables for the current optimal design is analyzed.A variable transformation method for mixed discrete variables is proposed,that is nominal variables are set,and software or algorithm of continuous variables could be called for mathematical model.The variables transformation program is written according to their relationship with real variables.Then,the nominal variables are put into the objective function and constraint condition,and the optimal solution is got.The variables of the optimal solution and real variables have the same type,so,it needn’t to be rounded and ensured the accuracy of the optimization.The variable transformation method is applied into optimization design of spur gear transmission,and compared with the existent ordinary optimization methods.The obtained results show that the variable transformation method is simple and feasible and the optimum solution of the variable transformation method is superior to solutions of other algorithm.…”
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An Analytical Approach on Thermally Induced Vibrations of Nonhomogeneous Tapered Plate by Anupam Khanna, Ashish Singhal

“…A mathematical model to control the vibrations of a rectangular plate is constructed with an aim to assist engineers in designing and fabrication of various structures used in the field of science and technology, mostly used in satellite and aeronautical engineering. …”
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Investigation of applicability of Peng–Robinson and GERG-2008 equations of state of real gas for calculating properties of Freons for refrigeration machines and compressors by M. I. Sokolov, Yu. V. Kozhukhov

“…As a result of this work, data have been obtained to evaluate the accuracy of the Peng–Robinson and GERG-2008 equations of state for each of the three CFCs, to evaluate the effectiveness of these equations, and to provide recommendations for the calculation and application of these equations in the design and mathematical modelling of refrigeration machines…”
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Analysis of Elastohydrodynamic Lubrication Characteristic of the Roller Enveloping Hourglass Worm Drive by Taoran Zhang, Lingyu Li

“…To study the elastohydrodynamic lubrication（EHL） characteristic of the roller enveloping hourglass worm drive， the line contact isothermal mathematical model is established based on the research of meshing theory of the roller enveloping hourglass worm drive and the theory of EHL. …”
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Terahertz Generation in an Electrically Biased Optical Fiber: A Theoretical Investigation by Montasir Qasymeh

“…A ring resonator is utilized to boost the optical intensities in the biased optical fiber. A mathematical model is developed which is supported by a numerical analysis and simulations. …”
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Pinched hysteresis loops in non‐linear resonators by Ahmed S. Elwakil, Mohammed E. Fouda, Sohaib Majzoub, Ahmed G. Radwan

“…Abstract This study shows that pinched hysteresis can be observed in simple non‐linear resonance circuits containing a single diode that behaves as a voltage‐controlled switch. Mathematical models are derived and numerically validated for both series and parallel resonator circuits. …”
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Performance analysis and power optimization for FH secure communication under frequency and phase mismatch by Changqing SONG, Hongzhi ZHAO, Lizhi QIN, Shihai SHAO

“…The artificial noise (AN) shielded frequency hopping (FH) secure communication can counteract electromagnetic interference and wiretapping, but its carrier frequencies change rapidly within a wide bandwidth which will raise the level of carrier frequency offset and phase noise, yielding AN cancellation performance degradation.To tackle this, the signal distortion caused by frequency and phase mismatch (FPM) was mathematically modeled, the AN cancellation performance was evaluated via signal-to-noise ratio, and the system secrecy was scaled via secrecy capacity.On basis of this, the optimal power allocation scheme for AN and confidential signal was designed, and the scheme was expanded according to the FPM level and the propagation channel quality.Numerical simulations verify that FPM can significantly degrade the noise cancellation performance and system secrecy, and to counteract this, the power ratio of AN to confidential signals should decrease with an increasing FPM.…”
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Research of the Kinematics of Rod-gear Type Pulse CVT based on Matlab by Chen Suifan, Dong Zhifeng

“…Based on the analysis of transmission mechanism of rod-gear type Pulse Continuously Variable Transmission（ P-CVT）,the closed vector equations of equivalent plane six-bar mechanism are built. The kinematic mathematical model of angular displacement,angular velocity and angular acceleration of connecting rod,rocker and meshing point to input shaft axis of single phase transmission mechanism is constructed by the matrix method. …”
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Experimental determination of limiting range of vision for underwater laser system by A. S. Golosnoy

“…The calculations and field tests carried out on the basis of the developed mathematical model in real conditions showed the correspondence of theoretical and experimental results.…”
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Optimum Design of Load Capacity of Cycloidal Pin Wheel by Leilei Xu, Jianxin Su

“…In order to optimize its load capacity， an optimization mathematical model with the minimum contact stress and the maximum meshing stiffness is constructed by taking the pin tooth distribution circle radius， short amplitude coefficient， pin diameter coefficient and cycloidal wheel width as design variables. …”
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RESEARCH ON PERFORMANCE PREDICTION OF THIN SEAM SHEARER BY COMBINING GENETIC ALGORITHM WITH BP NEURAL NETWORK by ZHAO LiJuan, JIN ZhongFeng

“…Optimization method based on the combination of genetic algorithm（ GA） and BP neural network was proposed for the problems that traditional method can`t solve about the multi Factor impact shearer coal capacity. Established mathematical model of thin seam shearer,we use genetic algorithm to optimize the weighted values and threshold values of the BP neural network,using the simulation data for training and testing samples,and then use the BP algorithm to train the neural network,thus avoiding the local minimum values when the training is done with the BP neural network alone. …”
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Grey Prediction for Accuracy Life of Roller Pushing Mechanism by Zhang Liping

“…The regular testing error value of position accuracy of chain head is constituted as an original data series at equal intervals. The mathematical model of gray system is established. Monotonically increasing time data sequence is obtained by accumulating generating calculation. …”
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Kinematics Simulation Analysis of Six-legged Upright Walking Robot based on Adams by Jiulei Zhang

“…Firstly， by using the vector analytical method， the corresponding motion mathematical model of the walking leg mechanism is established and analyzed. …”
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Study on the Dynamics Characteristic of Helical Gear with Tooth Profile Deviation by Zhang Yanjie, Wu Xuncheng, Zhang Juecheng

“…For study the impact of the tooth profile total deviation on the dynamics characteristic of helical gear,based on theoretical involute and tooth profile total deviation value,the mathematical model of error involute with tooth profile deviation is established.By taking a involute helical gear pair as the research object,the 3D model of helical gear pair with tooth profile deviation is established by using UG,and the reliability of the ideal model is verified by using ADAMS.Meanwhile,combining the ANSYS,the angular velocity,angular acceleration of driven gear of the error model and ideal model are compared and analyzed.The results show that the conclusion in dynamics simulation based on ADAMS is the nearly same as transient kinetic analysis based on ANSYS.The tooth profile deviation has significant effect on the angular velocity and angular acceleration of driven gear.…”
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Analytical Investigation of Some Dynamical Systems by ZZ Transform with Mittag–Leffler Kernel by Mounirah Areshi, Muhammad Naeem, Noorolhuda Wyal

“…Fractional-order solutions are the most in line with the dynamics of the targeted problems, and they provide an endless number of options for an optimal mathematical model solution for a particular physical phenomenon. …”
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Modeling and Analysis of Energy/Exergy for Absorber Pipes of Linear Parabolic Concentrating Systems by Reza Alayi, Mahdi Mohkam, Hossein Monfared, Alibek Issakhov, Nima Khalilpoor

“…The types of solar collectors, specifically the linear parabolic collector, have been comprehensively studied. Then, the mathematical model of heat transfer in the absorber pipe of the collector has been presented based on valid references. …”
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Optimal Synthesis of Pose Repeatability for a Collaborative Robot by Xu Liu, Song Wang, Aihua Liu, Mingwei Hu

“…Firstly， based on the analysis of pose repeatability of robots， a mathematical model of pose repeatability is established. …”
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Dynamical System Analysis and Optimal Control Measures of Lassa Fever Disease Model by Ifeanyi Sunday Onah, Obiora Cornelius Collins, Praise-God Uchechukwu Madueme, Godwin Christopher Ezike Mbah

“…We formulate a mathematical model for Lassa fever disease transmission under the assumption of a homogeneously mixed population. …”
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Research of the Model of the Deviation Measurement and Accuracy Standard Establishment of the Ellipse Family Gear by Gao Ting, Han Jiang, Li Dazhu, Xia Lian

“…The non- circular gears which have the characteristics of the ellipse is induced to elliptical family gear,the curve characteristics are discussed and the general mathematical model is summarized. On the basis of in- depth analysis of cylindrical gear,bevel gear and small module gear accuracy standard,combining with the characteristics of elliptical family gear,its accuracy standard,single deviation items and comprehensive deviation item are formulated,the 5 grades accuracy calculation formula is deduced,the accuracy grade is divided,the grade proportion is initially determined. …”
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