Results 1 to 10 of about 267 (103)
Computerised analysis of non-conjugate spiral bevel gear mesh using an advanced and fast-converging tooth contact model [PDF]
Scientific ReportsThe mathematical framework used to address the geometrically non-conjugate gear tooth contact problem in three-dimensional space represents a sophisticated task that requires substantial computational resources. The conventional approach to tooth contact
Maksat Temirkhan, Andas Amrin
doaj +2 more sources
Meshing principle analysis of 3-DOF involute spherical gear [PDF]
E3S Web of Conferences, 2020 In this paper, a mathematical model of meshing motion of three degree of freedom involute spherical gear pair is constructed. The mathematical model can realize continuous meshing transmission between gear pairs without transmission principle error ...
Wang Baichao +3 more
doaj +1 more source
Characterization of Rectifying Curves by Their Involutes and Evolutes
Mathematics, 2021 A rectifying curve is a twisted curve with the property that all of its rectifying planes pass through a fixed point. If this point is the origin of the Cartesian coordinate system, then the position vector of the rectifying curve always lies in the ...
Marilena Jianu +5 more
doaj +1 more source
Mathematical model and manufacturing of a human or a robotic knee joint
Journal of Advanced Mechanical Design, Systems, and Manufacturing, 2017 This paper proposed two imaginary planar rack-cutters to create a spherical gear pair with ring-involute teeth. The spherical gear pair can be used to a knee joint mechanism. The imaginary planar rack cutter consists of two kinds of conical tooth. One is
Hsueh-Cheng YANG, Chia-Hung LAI
doaj +1 more source
Smarandache Curves of the Evolute Curve According to Sabban Frame
Communications in Advanced Mathematical Sciences, 2020 The aim of this paper is to define Smarandache curves according to the Sabban frame belonging to the unit Darboux vector of spherical indicatrix curve of the evolute curve. Also, we calculate the geodesic curvatures of these curves.
Süleyman Şenyurt, Yasin Altun
doaj +1 more source
Modeling and Meshing Analysis of 3-DOF Spherical Gear
Jixie chuandong, 2021 The 3-DOF spherical gear is proposed and its tooth surface is composed of involute ring tooth surface and semi-spherical bevel tooth surface， the error-free transmission can be realized.
Litong Zhang +4 more
doaj
High-order involute modified noncircular bevel gears
Journal of Advanced Mechanical Design, Systems, and Manufacturing, 2014 Noncircular bevel gears (NBGs) is a kind of spatial transmission mechanism which can be used to transmit the motion and power between two intersecting axes with a variable transmission ratio and according to a suitable motion program.
Jiqiang XIA, Kan SHI, Chunjie WANG
doaj +1 more source
THE LOGARITHMIC SPIRAL AND ITS SPHERICAL COUNTERPART
Journal of Industrial Design and Engineering Graphics, 2020 Logarithmic spirals are isogonal trajectories of pencils of lines. From a series of geometric consequences, we pick out a few which are relevant for kinematics: When a logarithmic spiral rolls on a line, its asymptotic point traces a straight line. Hence,
Hellmuth Stachel +2 more
doaj +2 more sources
Jixie chuandong, 2014 According to the principle of geodesic curvature of differential geometry and the forming theory of spherical involute of bevel gears,a method of spherical involute tooth profile design is put forward.First,the equivalent bevel gear of the pitch point is
贾庆祥 +3 more
doaj
Normal vector based generation of straight bevel gears tooth surfaces
上海师范大学学报. 自然科学版, 2017 Tooth surface generation and design of bevel gears is a challenging and multi-choice problem.A normal vector based method is established to describe the geometries of tooth surfaces of straight bevel gears.The normal vector of the tooth surfaces is ...
Lin Jing
doaj +1 more source