Dynamics Analysis of Cycloidal Speed Reducers With Pinwheel and Nonpinwheel Designs

Cycloidal speed reducers are composed primarily of an eccentric shaft, output parts, and a set comprising a cycloidal gear and pinwheel with pins or a cycloidal gear and cycloid internal gear. This paper investigates the contact and collision conditions of these components, as well as their stress variations during the transmission process. To do so, a system dynamics analysis model of a cycloidal speed reducer is constructed, together with dynamics analysis models for two design types: A traditional pinwheel design and a nonpinwheel design (i.e., a design in which a cycloid internal gear replaces the pinwheel). Based on the theory of gearing, a mathematical model of the pinwheel with pins, cycloidal gear, and cycloid internal gear is then built from which the component geometry can be derived. These dynamics analysis models, constructed concurrently, are used to investigate the components' movements and stress variations, and determine the differences between the transmission mechanisms. The results indicate that the nonpinwheel design effectively reduces vibration, stress value, and stress fluctuation, thereby enhancing performance. An additional torsion test further suggests that the nonpinwheel design's output rate is superior to that of the traditional pinwheel design.

[1]  Avinash Singh,et al.  Influence of Ring Gear Rim Thickness on Planetary Gear Set Behavior , 2010 .

[2]  Jonathon W. Sensinger,et al.  Efficiency of High-Sensitivity Gear Trains, Such as Cycloid Drives , 2013 .

[3]  Blaza Stojanovic,et al.  A New Design of a Two-Stage Cycloidal Speed Reducer , 2011 .

[4]  F. Litvin,et al.  Gear geometry and applied theory , 1994 .

[5]  Bingkui Chen,et al.  Generation and investigation of a new cycloid drive with double contact , 2012 .

[6]  Jonathon W. Sensinger,et al.  Cycloid vs. harmonic drives for use in high ratio, single stage robotic transmissions , 2012, 2012 IEEE International Conference on Robotics and Automation.

[7]  Paolo Pennacchi,et al.  Non Undercutting Conditions in Internal Gears , 2000 .

[8]  Linda C. Schmidt,et al.  A New Cycloid Drive With High-Load Capacity and High Efficiency , 2004 .

[9]  Sasa Cukovic,et al.  Modeling of the Meshing of Trochoidal Profiles With Clearances , 2012 .

[10]  Changlin Wu,et al.  Mathematical modeling of the transmission performance of 2K–H pin cycloid planetary mechanism , 2007 .

[11]  Carlo Gorla,et al.  Theoretical and Experimental Analysis of a Cycloidal Speed Reducer , 2008 .

[12]  Gordon R. Pennock,et al.  Geometry for trochoidal-type machines with conjugate envelopes , 1994 .

[13]  Jonathon W. Sensinger,et al.  Unified Approach to Cycloid Drive Profile, Stress, and Efficiency Optimization , 2010 .

[14]  D. C. H. Yang,et al.  Cycloid Drives With Machining Tolerances , 1989 .

[15]  Faydor L. Litvin,et al.  Computerized design and generation of cycloidal gearings , 1996 .

[16]  Daniel C. H. Yang,et al.  Design and application guidelines for cycloid drives with machining tolerances , 1990 .

[17]  Chiu-Fan Hsieh,et al.  Geometric Design Using Hypotrochoid and Nonundercutting Conditions for an Internal Cycloidal Gear , 2007 .

[18]  M. A Parameswaran,et al.  Analysis of a cycloid speed reducer , 1983 .

[19]  Chiu-Fan Hsieh,et al.  Determination of surface singularities of a cycloidal gear drive with inner meshing , 2007, Math. Comput. Model..

[20]  Hong-Sen Yan,et al.  Geometry design of an elementary planetary gear train with cylindrical tooth-profiles , 2002 .

[21]  Joong-Ho Shin,et al.  On the lobe profile design in a cycloid reducer using instant velocity center , 2006 .

[22]  Faydor L. Litvin,et al.  Formation by branches of envelope to parametric families of surfaces and curves , 2001 .