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Epicyclic Drive Trains

Analysis, Synthesis, and Applications

Herbert W. Müller

Publication Year: 1982

This first English-language edition is a completely revised and expanded version of Die Umlaufgetriebe, published by the Springer-Verlag in 1971. It will be extremely useful to American engineers since it stresses the efficiencies of new and existing transmission designs and provides concise guide rules as well as worksheets. A thorough understanding of the sometimes difficult material is facilitated through the use of both schematic and symbolic diagrams. The book is profusely illustrated and analyzes many applications. These drives receive an unusually clear treatment because at Dr. Müller’s discovery of their perfect analogy to the simple epicyclic drive trains. Unified methods of analysis and synthesis of complex drives are employed throughout, suggesting that further simplifications may be possible through the use of a multivalued logic system which is analogous to the bivalent logic system of digital electronics. This book presents a clear and concise description of a multitude of revolving gear trains in terms common to all, whereas previous publications have been limited to treatment on interesting subproblems. Its well-reasoned definitions and classifications will aid engineers in the selection and design of the best drives for any given application.

Published by: Wayne State University Press


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pp. 1-2

Half-title, Title Page, Copyright

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pp. 3-6


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pp. v-xi


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pp. xii-14

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pp. xiii-15

...German universities and technical schools as well as in pertinent industries. I felt encouraged, therefore, to present its translation to English-speaking engineers. The publication of this edition is due to the painstaking and careful work of the translator, Mr. Werner G. Mannhardt, whose logical train of thought is of particular...

Translator's Note

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pp. xiv-16


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pp. xv-xviii


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pp. xix-26


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pp. 1-28

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A. Differentiation from Conventional Drive Trains

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pp. 3-15

Revolving drive trains, and their laws of motion, stem from the conventional drive trains with fixed axes of rotation. Therefore, we shall beginwith a brief discussion of the fundamental principles governing the opera-These principles are valid for all types of conventional drive trains such asgear trains, traction drives, belt drives, or hydraulic transmissions, as long...

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B. Simple Revolving Drive Trains, Terminology, Fundamental Principles, Types

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pp. 16-36

..."Simple revolving drive trains" are simple planetary drive trains, orother revolving drive mechanisms which originated from simple conventional transmissions by allowing the latter's housings to rotate about centralaxes (sec. 2). Consequently, revolving drive trains may have three rotating shafts and frequently are referred to as "three-shaft transmissions" (or, if a...


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pp. 37-64

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A. Working Principles

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pp. 39-82

The basic laws of the simple revolving drive trains define fundamental relationships between the speeds, the torques and the power of their shafts,as well as their efficiencies. They shall be derived for the general case of the three-shaft transmission and, consequently, are valid also for two-shaft epicyclic transmissions, and basic transmissions which are merely special cases...

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B. Graphical Analysis

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pp. 83-103

In the previous chapter it has been shown that the function of a revolving drive can be analyzed without consideration of each detail of its design. Rather, a kinematic analysis can be performed when only the basic speed-ratio /o is known, which, according to worksheet 3, also determines the posi...

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C. Design and Operating Characteristics of Simple Planetary Transmissions

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pp. 104-166

Theoretically, all the simple planetary transmission designs which areshown in figs. 19 to 43, could be designed with any basic speed-ratio. Practically, however, the range of the basic speed-ratios of each type is limiteda) For economical reasons, an external gear stage should not exceed aspeed-ratio of i = -4 to -8. For higher speed-ratios, multi-stage transmis-...


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pp. 167-194

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A. Symbols and Types

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pp. 169-181

For compound drives, which consist of several epicyclic transmissions,the symbols 1, 2, s, and p, as defined in the previous part I (sec. 4), will beused to denote the gears or shafts of the first transmission. The corresponding gears or shafts of the second transmission are then denoted accordingly by the primed symbols, 1', 2', s'', p" and the gears or shafts of a third...

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B. Operating Characteristics of Compound Epicyclic Transmissions

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pp. 182-304

Simple bicoupled transmissions with two degrees of mobility have two degrees of freedom and three connected shafts. In this respect they are completely similar to the simple epicyclic transmissions as already pointed out by Wolf [13]. The utilization of this analogy leads to a substantial simplification of the analysis and, especially, the synthesis of these bicoupled trans-...


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pp. 305-330

Complete List of Guide Rules

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pp. 331-334


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pp. 335-340


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pp. 341-342

Selected Bibliography

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pp. 343-346


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pp. 347-375

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About the Author

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p. 376-376

Herbert W. Mtiller obtained his doctorate at the Technische Hochschulein Dresden in 1961. He is now chairman of machine elements at the articles in technical journals in Germany, and has presented papers to the American Society of Mechanical Engineers on several occasions.The manuscript was prepared for publication by Jacqueline A. Nash....

E-ISBN-13: 9780814337899
Print-ISBN-13: 9780814316634

Page Count: 376
Illustrations: 174
Publication Year: 1982