EFFECT OF SLANT CRACK ON WEAKENING MOTOR SHAFT STIFFNESS by JIN ZhiHao, ZHOU LingLing, YANG ZhengXin

“…Based on fracture mechanics theory,the calculation formula of shaft with oblique crack under six loads,including axial force,moment and torque etc. along the main coordinate axis,was deduced at arbitrary inclination angles. …”
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RESEARCH AND VERIFICATION OF CONTACT STRESS CALCULATION METHOD FOR FIVE-BALL FATIGUE TESTING MACHINE by JIAO Yan, YU QingJie, HAN Song, LIU JinLing, ZHAO SiYang

“…According to the load deformation relationship and the formula derived,the balance equation is established between the external load and the working contact angle. …”
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Stability in Mean of Partial Variables for Coupled Stochastic Reaction-Diffusion Systems on Networks: A Graph Approach by Yonggui Kao, Hamid Reza Karimi

“…An example is presented to illustrate the effectiveness and efficiency of the obtained results.…”
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Optimization Design and Simulation Analysis of Cycloid Pin Gear Planetary Reducer by Liang Kaixiang, Wang Zhongsu, Tian Shitao, Wu Qingwen, Xu Zhenbang

“…The results show that the reducer meets the design requirements,the optimization is valid and valuable on engineering application.…”
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Bayesian Inference of Ammunition Consumption Based on Normal-Inverse Gamma Distribution by Haobang Liu, Xianming Shi, Xiaojuan Chen, Yuan Li, Mei Zhao, Yongchao Jiang

“…It is to establish a Bayesian estimation model for ammunition consumption under different damage degrees according to field test data based on Bayesian formula and solve for its posterior distribution. …”
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MOTION RELIABILITY ANALYSIS OF A 6⁃DOF INDUSTRIAL ROBOT by LI ZiYi, DING Li, MA Rui, DUAN JinJun

“…In order to evaluate the reliability and accuracy of the end⁃effector of a six⁃degree⁃of⁃freedom industrial robot in the task space,a robot motion reliability analysis strategy based on the envelope method was proposed.Firstly,the error function and reliability model of the robot system was obtained through kinematics.Secondly,the envelope method was used to solve the reliability model to obtain the failure probability of the end⁃effector,and the error function was linearized by Taylor′s formula,while redundant points in the covariance matrix were excluded in the calculation process to make it conform to the positive definite condition and improve the accuracy of the envelope.Finally,the proposed method was simulated and analyzed.The results show that the error of the envelope method compared with the Monte Carlo method is 0.5%~19.8%,which verifies the effectiveness of the method.…”
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Thermodynamics, magnetic properties, and global U(1) symmetry breaking of the S-type Gubser-Rocha model by Shuta Ishigaki, Zhaojie Xu

“…Abstract We study an explicit formula for the thermodynamic potential of the AdS dyonic black brane solution with an axio-dilaton hair, which was discovered in an extension of the (3 + 1)d Gubser-Rocha model enjoying S-duality. …”
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A Parameterized Splitting Preconditioner for Generalized Saddle Point Problems by Wei-Hua Luo, Ting-Zhu Huang

“…By using Sherman-Morrison-Woodbury formula, we introduce a preconditioner based on parameterized splitting idea for generalized saddle point problems which may be singular and nonsymmetric. …”
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Calculation Method and Influence Factors Analysis of Pressure Angle of Hole- pin Type Few Teeth Difference Planet Gear Speed Increaser by Wang Kaijie, Suo Shuangfu, Yang Yiyong

“…The calculation methods and analytical results could guide the structure design of hole-pin type few teeth difference planet-gear speed increaser,optimization of the system force transmission characteristic.…”
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Parasitic Motion and Workspace Analysis of Parallel Mechanism Based on 2-PRU/PUU by Chunsheng Ma, Jianguo Liu, Jie Wen, Yangtao He, Wenlong Fan

“…Firstly， the degree of freedom of the mechanism is analyzed according to the spiral theory， and then the correctness of the results is judged by the modified Grübler-Kutzbach formula. …”
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An Inventory Controlled Supply Chain Model Based on Improved BP Neural Network by Wei He

“…The results show that the improved algorithm not only significantly exceeds the standard algorithm but also outperforms some other improved BP algorithms both on convergence rate and prediction accuracy.…”
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Research of Calculation Model of Tangential Stiffness for Gear Joint Surface based on Anisotropic Fractal Theory by Zhao Linlin, Huang Xiaoping

“…On the basis of the M-B fractal model,and combining with distribution formula of two cylinders contact area,a calculation model of tangential contact stiffness for gear joint surface is set up by using anisotropic fractal geometric theory.The influence of the main parameters in the model on the gear fractal contact model is obtained through emulation of MATLAB.The results indicate that the joint surface tangential contact stiffness increases with increasing material property or gear teeth,but decreases with increasing fractal roughness or ratio of total tangential load to total normal load.When fractal dimension is smaller（D < 1.7）,the gear joint surface tangential contact stiffness increases as fractal dimension increases.However,when fractal dimension becomes larger（D≥1.7）,the gear joint surface tangential contact stiffness decreases as fractal dimension increases.…”
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Some properties of a modified Hilbert transform by Ferrari, Matteo

“…By leveraging this crucial result, we derive some properties of $\mathcal{H}_T$, including a new inversion formula, that emerge as immediate consequences of well-established findings on $\mathcal{H}$.…”
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Application of Pneumatic Ventilated Disc Brake in Mine Electric Locomotive by Li Zhaosong, Zhang Yulu, Dong Mengshi

“…Aiming at the shortage of braking performance,a kind of pneumatic ventilated disc brake device is proposed. Referring to the formula and theory of train traction braking,the braking performance is verified by calculation. …”
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Design and Analysis of Flexible Hinge Using in Optoelectronics Packaging Platform by Zheng Jiamain, 2Zhou Haibo, 2Huang Kai

“…In the six degrees of freedom flexible parallel platform using in optoelectronics packaging,the performance of the flexible hinge is an important influence factor on moving platform workspace and precision.According to Castigliano’s theorem and Lobatto quadrature formula,the mechanical model of the corner- filleted is established and the compliance matrix of flexible hinge is deduced. …”
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Research of the Allowable Velocity of Chain Drive of Quantitative Conveyor by Shang Shibo, Wang Honglei, Yuan Hua

“…According to the loading speed requirements of the 50 tons skip loading by quantitative conveyor,to improve the operation reliability of the transmission chain under overload and at the velocity of 1.2m/s,the combination and optimization of sprocket tooth z,chain pitch pand allowable speed v optimization are solved.A method to predict the chain allowable speed is presented,according to the existing small-pitch chain parameters from GB/T 5269-1985,the theoretical formula and the relationship curves between p&vare determined by MATLAB data fitting model,the large pitch chain allowable speed is solved.The calculation shows that p=200 &z=12meet the requirements of the loading speed and nearly consistent with TSUBAKI’s sample.The results provide a theoretical basis for design and ordering of prototype,also can provide a reference for parameter selection of large chain.…”
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Vibration Analysis of Multilink Manipulators Based on Timoshenko Beam Theory by Carmelo di Castri, Arcangelo Messina

“…It is herein presented an analytical modelling strategy that extends previous works through a more refined model which accounts for elastic complicating effects along with lumped inertial loads which are typically mounted on joints of manipulators; in this regard, more accurate results are provided. The eigenproblem is presented from an analytical point of view through a matrix formulation, thus providing an essentially closed formula. …”
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Study on the Position Solution and Workspace of 3-RRS Spherical Parallel Mechanism by Li Dahai, Li Ruiqin, Song Shengtao, Zhang Mengmeng, Zhao Jianwen

“…The corresponding inverse position solution formula is derived. Eight sets of inverse solutions are obtained. …”
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Analysis of the Influence of Clutch Drag Torque on the Efficiency of Hydro-mechanical Continuously Variable Transmission by Rong Chai, Mingzhu Zhang, Jianhua Wang, Fang Jia

“…The calculation results show that the band and row loss of multiple friction clutches in HMCVT has a great influence on its transmission efficiency.…”
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OPTIMAL DESIGN OF MODIFIED SPUR GEARS BASED ON MINIMUM FLASH TEMPERATURE by YU DongYang, JIANG JinKe, SONG Qiang, FANG ZongDe

“…Considering the installation error and tooth flank clearance of modified involute cylindrical gears influencing on load density,oil film thickness,and local friction coefficient.an optimum design method based on the minimum flash temperature was proposed.Applied TCA and LTCA to modification technology,the friction coefficient was determined according to the film thickness ratio under different lubricating condition,oil film thickness and loads on contact line were discretized,so discrete temperature according to the Blok flash temperature formula were got.used genetic algorithm to optimize the parameter of curve,and got the best deviation surface.the results shows that there are more uniform loads and flash temperature with modified gears,while the smallest is at engaging-in area due to the effect of curvature radius,besides the flash temperature has little changes in the single tooth meshing zone of spur gear.…”
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