Design Method for a Pair of Oval Bevel Gears

2011 ◽  
Vol 299-300 ◽  
pp. 887-890 ◽  
Author(s):  
Kan Shi ◽  
Ji Qiang Xia ◽  
Chun Jie Wang

Oval bevel gear is a kind of noncircular bevel gear which can achieve variable transmission between intersecting axes. We design the pitch curve by spherics cosine theorem in spatial polar coordinate because the pitch curve of oval bevel gear is not the planar curve. The bevel gear cutter is introduced, and we get the Three-dimensional model of oval bevel gear through extended development of UG. This method can make the calculation accurately, easily and get a wide variation of transmission ratio.

Author(s):  
Kan Shi ◽  
Jiqiang Xia ◽  
Chunjie Wang

Noncircular bevel gear can achieve variable transmission between intersecting axes. This article proposes the design method of high-order noncircular bevel gear with concave pitch curve. The parametric equations for driving and driven gear, addendum and dedendum surface under given transmission ratio and axis angle are established in a spherical polar coordinate system. The tooth profile equation of noncircular bevel gear is derived according to the generation method by using bevel gear cutter. The three-dimensional model for noncircular bevel gear is developed to verify the correctness of the design method.


2020 ◽  
Vol 12 (2) ◽  
pp. 168781401989749
Author(s):  
Kan Shi ◽  
Yan-An Yao ◽  
Shuai Lin

As a type of spatial transmission mechanism, noncircular bevel gears (NBGs) can transfer power and motion between two intersecting axes with variable transmission following a suitable program of motion. Utilizing the spherical triangle theorem and meshing principle, parametric equations are established in the spherical polar coordinate system for the driving and driven gears, for the pitch curves, and for the addendum and dedendum curves of a NBG for a given transmission ratio and axis angle. A formulation of the tooth profile of a NBG is deduced using an analytic method. Three-dimensional models of the 3- and 4-lobed NBGs are derived in verifying this method.


2015 ◽  
Vol 9 (1) ◽  
pp. 58-64 ◽  
Author(s):  
Kuiyang Wang ◽  
Jinhua Tang ◽  
Guoqing Li

In order to optimize the design method and improve the performance of hydraulic retarder, the numerical simulation of multi-field coupling of heat, fluid and solid is carried out to hydraulic retarder, based on the numerical computation and algorithm of heat-fluid coupling and fluid-solid coupling. The computation models of heat-fluid coupling and fluid-solid coupling of hydraulic retarder are created. The three dimensional model of hydraulic retarder is established based on CATIA software, and the whole flow passage model of hydraulic retarder is extracted on the basis of the three dimensional model established. Based on the CFD calculation and the finite element numerical simulation, the temperature field, stress field, deformation and stress state are analysised to hydraulic retarder in the state of whole filling when the rotate speed is 1600 r/min. In consideration of rotating centrifugal force, thermal stress and air exciting vibration force of blade surface, by using the sequential coupling method, the flow field characteristics of hydraulic retarder and dynamic characteristics of blade structure are analysised and researched based on multi-field coupling of heat, fluid and solid. These provide the theoretical foundation and references for parametric design of hydraulic retarder.


2021 ◽  
Vol 12 (1) ◽  
pp. 165-172
Author(s):  
Kan Shi ◽  
Shuai Lin ◽  
Yan'an Yao

Abstract. As a type of spatial transmission mechanism, noncircular bevel gears can be used to transfer the power and motion with a variable transmission ratio between intersecting axes. In this paper, utilizing the spherical triangle theorem and meshing principle, the parametric equations of the contact ratio are established in the space polar coordinate system. Two innovative methods are proposed to analyze the contact ratio by using the rotation angle of the driving (driven) gears and the arc length of pitch curve as pure rolling. In the case of modified gear and X-zero gear, whether the noncircular bevel gear is continuously driven is deduced. The simulation transmission ratio curve and theoretical transmission ratio curve are compared to verify the rationality of the design.


2010 ◽  
Vol 44-47 ◽  
pp. 884-888
Author(s):  
Qing Gong Zhang ◽  
Hua Li ◽  
Jin Yao

The three-dimensional model of a Half Toroidal Continuously Variable Transmission (HT-CVT) was established by CAXA solid design. The kinematics simulation of the HT-CVT was realized by replacing the traction drive of elasto-hydrodynamic lubrication (EHL) oil film with the contact constraint joints in ADAMS. The angular velocity curves of the power rollers and the output cone disk on the HT-CVT were obtained. Simulation results demonstrate the fluctuation of the angular velocities on the two power rollers and the output cone disk compares well with the conclusion derived from the actual gear ratio of the HT-CVT.


2011 ◽  
Vol 295-297 ◽  
pp. 598-602
Author(s):  
Zhi Cheng Huang

Taken a certain type of casting crane’s girder as research object, established its three-dimensional model by using Pro/ENGINEER software, and then import it into the ANSYS program for analysis with ANSYS data access module (DDA), integrating the analysis results and the theory of fracture mechanics, the thesis comprehensively analyzed the fatigue life of the casting crane’s girder with damnification-limit design method. It provided some theory basis and reference for casting crane’s safe operation and fatigue lift design.


2020 ◽  
Vol 11 (2) ◽  
pp. 251-256
Author(s):  
Kan Shi ◽  
Yan'an Yao ◽  
Shuai Lin

Abstract. As a type of spatial transmission mechanism, noncircular bevel gears can transfer power and motion between two intersecting axes with variable transmission. In this paper, the relation of arc length is expressed by Angle in spatial polar coordinate system, utilizing the spherical triangle theorem, the parametric equations of base curves are established by applying arc length relation. Further, an example is given to verify whether pitch curves is concave on osculating circle of noncircular bevel gear section cone. Similarly, this example illustrates the cause of the mutation for the base curves.


Author(s):  
Константин Юдин ◽  
Konstantin Yudin ◽  
Никита Харин ◽  
Nikita Harin

A batch mixer is considered. The feasibility of developing a new type of mixers is presented. A literary review of domestic and foreign authors on this subject is made. The author's kinematic scheme of the mixer is presented. It describes the effect on the material mixed in the mixing chamber with respect to two mutually perpendicular horizontal axes. Movement features of material in the mixer suggest the presence of elements of the gyroscopic effect. Rotation of the mixing chamber is carried out by means of belt, chain and conical transmission. The resulting complex spatial motion of the material particles can be controlled by a frequency converter and the selection of appropriate gears. An algorithm for modeling the conical transmission for a mixer with a bi-directional rotational effect on the material is presented. Bevel gear is set on the carrier. Preliminary experimental studies have been conducted. A three-dimensional model of the bevel gear is presented. Adjustment of the installation dimensions is shown. A three-dimensional model of a bevel gear transmission, using the NX software product, is supplemented with a table for its calculation and an initial stocking model. The practical implementation of bevel gears in metal is shown. conclusions on modeling are made.


2017 ◽  
Vol 372 ◽  
pp. 31-39 ◽  
Author(s):  
R.S. Brum ◽  
M.K. Rodrigues ◽  
J.V.A. Ramalho ◽  
Luiz Alberto Oliveira Rocha ◽  
Liércio André Isoldi ◽  
...  

This article applies the constructal design method to analyze how to improve the thermal performance of earth-air heat exchangers (EAHE) composed by four ducts. The paper evaluates two types of arrangements for which the centers of the ducts take the shape of rectangles and diamonds. Under volumetric constraints, the vertical Sv and horizontal Sh spacings between the ducts are left free to vary. The objective is to maximize the magnitude of the EAHE instantaneous thermal potential P which is an average of the differences between the temperatures at the ducts outlets and inlets at any instant of time. The temperature fields are computed through numerical simulations, adopting a verified and validated three-dimensional model. Among the results, this work shows how the design can raise by 11% the annual thermal efficiency of the EAHE.


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