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Chapter 23: Planetary Gear Trains

By Alfonso Fuentes
From Gear Geometry and Applied Theory, Second Edtion

23.1 INTRODUCTION

Planetary gear trains were the subject of intensive research directed at determination of dynamic response of the trains, vibration, load distribution, efficiency, enhanced design, and other important topics [Lynwander, 1983; Ishida & Hidaka, 1992; Kudrjavtzev et al., 1993; Kahraman, 1994; Saada & Velex, 1995; Chatterjee & Tsai, 1996; Hori & Hayashi, 1996a, 1996b; Velex & Flamand, 1996; Lin & Parker, 1999; Chen & Tseng, 2000; Kahraman & Vijajakar, 2001; Litvin et al., 2002e].

This chapter covers gear ratio, conditions of assembly, relations of tooth numbers, efficiency of a planetary train, proposed modification of geometry of tooth surfaces, determination of transmission errors, etc. Special attention is given to the regulation of backlash for improvement of load distribution.

23.2 GEAR RATIO

A planetary gear mechanism has at least one gear whose axis is movable in the process of meshing.

Planetary Mechanisms of Figs. 23.2.1 (a) and (b)

Figures 23.2.1(a) and (b) represent two simple planetary gear mechanisms formed by two gears 1 and 2 that are in external or internal meshing, respectively, and a carrier c on which the gear with the movable axis is mounted. Gear 1 is fixed and planet gear 2 performs a planar motion of two components: (i) transfer rotation with the carrier, and (ii) relative rotation about the carrier. The resulting motion of planet gear 2 with respect to fixed gear 1 is rotation about the instantaneous center I of motion that is the point of tangency of centrodes r 1

Copyright Faydor L. Litvin and Alfonso Fuentes 2004 under license agreement with Books24x7

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Product Announcements
Boston Gear - Boston Gear Precision Gearheads Brochure
Boston Gear has published a full color, 36-page brochure to introduce new High Precision Helical Planetary Gearheads — a complete line of high-quality gearheads designed for direct attachment to... (read more)
Industrial Motion Systems Inc. - Vertical Splines
Verticle Splines are available in five different sizes(VS-40, VS-60, VS-80, VS-100, VS-150). (read more)
Boston Gear - Boston Gear Helical Planetary Precision Gearheads
Boston Gear announces the availability of Helical Planetary Precision Gearheads — high-quality gearheads designed for direct attachment to popular servo and stepper motors. These durable,... (read more)
Harmonic Drive LLC - Harmonic Planetary Gearhead
Harmonic Drive LLC has introduced a new planetary gearhead, which relies on technology borrowed from its line of harmonic drive gearing. This new gearhead, the Harmonic Planetary, utilizes a non-rigid... (read more)
Andantex USA, Inc. - Planetary Epicyclic Differential Drives
Andantex Planetary Epicyclic Differential Drives SR Series is based on a compound epicyclic gearing system offering a high torque capacity and a wide range of reduction ratios in a very compact space. (read more)
Kleiss Gears, Inc. - Shape Optimized Gear Design
Polymer materials are different from metal, so the design of gears made from polymers has to be different as well. The method we've developed at Kleiss Gears for successful molded gears is Shape... (read more)
Kleiss Gears, Inc. - Polymer Gear Design
Kleiss Gears partners with their clients to produce the best polymer gears for their unique application. Polymer materials are different from metal, so the design of gears made from polymers has to be... (read more)
CHINA MS Motor Co., Ltd. - MS DC PLANET GEAR MOTOR
CHINA MS Motor Co., Ltd. manufactures DC planet gear motor widely used in Automat,Electrical Controlled valve,Robot,Door Locks and various automatic control equipment.We commit to providing planetary... (read more)
Quality Transmission Components - Gear Technical Reference Articles from QTC
Designing with metric gears became easier with the publication by Quality Transmission Components of the Technical Reference Section entitled "Elements of Gear Technology". (read more)
 

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