Experimental Investigation of Instantaneous Sliding Friction Coefficient of Steel Plane Worm Gear by Qiu Xinyang, Zhang Yanqin, Zhang Guanghui

“…The antifriction and wear-resistant performances of vehicle gear oil GL-5 is better,the friction coefficient decreases with the induced normal curvature radius and lubrication angle increasing. …”
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Skeletal deformities in Barbus xanthos (Teleostei: Cyprinidae) collected from the Dalaman River in southwestern Turkey by Jawad Laith, Güçlü Salim Serkan

“…In this study, skeletal anomalies such as vertebral centra deformation, lordosis (ventral curvature), and consecutive repetition of lordosis and kyphosis were examined in specimens of Barbus xanthos (Güçlü, Kalaycı, Küçük & Turan, 2020) collected from the Dalaman River, southwestern Turkey. …”
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Calabi-Yau Manifolds, Hermitian Yang-Mills Instantons, and Mirror Symmetry by Hyun Seok Yang, Sangheon Yun

“…Via the gauge theory formulation of six-dimensional Riemannian manifolds, we show that the curvature tensor of a Calabi-Yau manifold satisfies the Hermitian Yang-Mills equations on the Calabi-Yau manifold. …”
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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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Calculation and Analysis of Meshing Contact of Involute Spur Gear by Yuda Wang, Lü Hongzhan, Zhiyong Hou, Shuyan Wang, Weiguang Ma, Feng Li

“…According to the TCA model of spur gear，curvature radii in different meshing points are extracted. …”
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Study on Contact Force and Transmission Accuracy of Cycloidal Wheel with Exponential Modification by Chen Xinwen, Zhu Min, Wang Qiliang

“…RV reducer plays a dominant role in the field of robots because of its advantages of high accuracy，high efficiency and small size.Cycloid wheel，as the key component of RV reducer，directly affects the performance of the transmission system of RV reducer.In order to improve the meshing performance of cycloidal pin wheel，the radius of needle teeth is constructed as an exponential function of the rotation angle for modification，and the profile equation after modification is established.The tooth profile curve and curvature radius of cycloidal wheel before and after modification are compared with examples.The contact pressure and transmission error between cycloid wheel and pin teeth are calculated when the crank rotates from 0°~360°.The exponential function modification maintains the theoretical tooth profile curve in the working section of cycloidal gear，overcomes the problem of large modification amount in traditional modification method，ensures the meshing stability，and improves the strength and transmission accuracy of cycloidal wheel.…”
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Research of Mechanical Property of Trochoid Roller Pinion Rack Transmissions by Zhang Yun, Zhang Peng, Bao Bingbing

“…Then,the calculating formula and change of stress is concluded based on the Hertz formula of elastic mechanics and radius of curvature of the contacting point. Finally,a example is given and the finite element models of meshing pair are established. …”
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TRANSIENT MOTION SIMULATION AND STRESS ANALYSIS OF RECIPROCATING COMPRESSOR VALVE by WANG Yao, ZHANG JinJie, LIU JinNan, YAO ZiYun, JIANG ZhiNong

“…Changing the spring stiffness and the curvature of the transition arc can effectively reduce the stress and extend the life of the mesh valve. …”
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Single-Soliton Solution of KdV Equation via Hirota’s Direct Method under the Time Scale Framework by Yuan Kong, Xing-Chen Liu, Huan-He Dong, Ming-Shuo Liu, Chun-Ming Wei, Xiao-Qian Huang, Yong Fang

“…In this paper, the generalized KdV equation on time-space scale is deduced from one newly constructed Lax equation and zero curvature equation by using the AKNS method, which can be reduced to the classical and discrete KdV equation by considering different time scales. …”
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On the structural stability of a simple cosmological model in R + αR2 theory of gravity by Orest Hrycyna

“…The theory of gravity with a quadratic contribution of scalar curvature is investigated using a dynamical systems approach. …”
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A New Numerical Approach for the Laminar Boundary Layer Flow and Heat Transfer along a Stretching Cylinder Embedded in a Porous Medium with Variable Thermal Conductivity by S. Shateyi, G. T. Marewo

“…The skin friction as well as the heat transfer rate at the surface are increased as the values of the curvature parameter increase.…”
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Étude des $(n+1)$-tissus de courbes en dimension $n$ by Dufour, Jean-Paul, Lehmann, Daniel

“…For $(n+1)$-webs by curves in an ambiant $n$-dimensional manifold, we first define a generalization of the well known Blaschke curvature of the dimension two, which vanishes iff the web has the maximum possible rank which is one. …”
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Variable mode-mixity during fatigue cycles – crack tip parameters determined from displacement fields measured by digital image correlation by Michael Vormwald, Yigiter Hos, José L.F. Freire, Giancarlo L.G. Gonzáles, Jorge G. Díaz

“…For each specific specimen the crack path was observed in order to relate its curvature – both kinks and continuously developing warped cracks – with the variations of the displacement field and associated stress intensity factors.…”
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Research on Optimization of Non-circular Gear Shaping Technology based on Constant Cutting Force Constraint by Shaodong Xiao, Jiang Han, Lian Xia

“…To improve the processing efficiency of the workpiece and reduce the fluctuation of the cutting force，with the machine parameters and the constant cutting area as the constraints，and taking the curvature radius of the pitch curve as the segmented basis，an optimization model of variable circumferential feed is established. …”
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Unveiling new phases of the Standard Model Higgs potential by Florian Goertz, Álvaro Pastor-Gutiérrez

“…We study the Standard Model physical trajectory accounting for the Higgs curvature mass with the mass-dependent functional renormalisation group. …”
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Meshing Theory Analysis of Parallel Inclined Double Roller Enveloping Hourglass Worm Drive by Honghui Liao, Xudong Wang, Yan Qi, Zaixin Liu

“…Based on the established mathematical model， the basic characteristic parameters of the new type worm drive， such as induced normal curvature， lubrication angle， self-rotation angle， meshing equation and tooth surface equation are analyzed and deduced. …”
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Quadratic Killing tensors on symmetric spaces which are not generated by Killing vector fields by Matveev, Vladimir S., Nikolayevsky, Yuri

“…Every Killing tensor field on the space of constant curvature and on the complex projective space can be decomposed into the sum of symmetric tensor products of Killing vector fields (equivalently, every polynomial in velocities integral of the geodesic flow is a polynomial in the linear integrals). …”
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Characterizations of Trivial Ricci Solitons by Sharief Deshmukh, Nasser Bin Turki, Hana Alsodais

“…First, on a complete shrinking Ricci soliton, we show that the scalar curvature satisfying a certain inequality gives a characterization of a trivial Ricci soliton. …”
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Technology and equipment of roll straightening of sheet metal by V. A. Tamila, I. I. Vegera, V. V. Liaukovich, A. V. Vetoshkin

“…The parabolic dependence of the residual curvature on the yield strength is noted. The obtained data were used in the design of the roll straightening complex and the technology of straightening sheet blanks of complex configuration.…”
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REVERSE REALIZATION OF PITCH CURVE ON CONJUGATE CAM WITH HIGH SPEED BEATING-UP by QIU HaiFei

“…The reasonable values of basic circle radius and roller are determined through calculating radial direction r0 and radius of curvature ρ0 of the curve point by point. The results provides a technical idea for reverse and design innovation of the conjugate cam on beating-up mechanism.…”
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