Epicyclic Drive Trains
Analysis, Synthesis, and Applications
Publication Year: 1982
Published by: Wayne State University Press
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Half-title, Title Page, Copyright
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...8. Efficiencies of kinematically-equivalent modifications of the9. Possible component gear trains for speed-ratio % = 983/761 .. 23710. Suitable bicoupled transmissions for speed-ratio /IS = 39,989 .. 239...
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Since its publication in 1971, this book has found increasing acceptance atGerman universities and technical schools as well as in pertinent industries.I felt encouraged, therefore, to present its translation to English-speakingengineers. The publication of this edition is due to the painstaking and care-ful work of the translator, Mr. Werner G. Mannhardt, whose logical train...
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The American edition of the present book is a completely revised versionof the German original. While it closely follows the established train ofthought, some sections have been completely rewritten to reflect recentdevelopments. In many cases the derivations of formulas have beenextended and intermediate steps have been retained to help the reader follow...
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Note: other, less frequently used symbols are defined where they are firsths - — First subscript of this speed-ratio represents numerator^RI»^R2 Rolling power of shaft i, or shaft 2; in revolving hydro-^Ri * ^Rii Analogous to PM, PR2» series power of shaft / or shaft //rl = ±1 Exponent with the sign of the rolling-power Pm of shaft 1...
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I. PROPERTIES OF EPICYCLIC DRIVE TRAINS
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A. Differentiation from Conventional Drive Trains
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Revolving drive trains, and their laws of motion, stem from the conven-tional 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...
B. Simple Revolving Drive Trains, Terminology, Fundamental Principles, Types
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..."Simple revolving drive trains" are simple planetary drive trains, orother revolving drive mechanisms which originated from simple conven-tional 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...
II. SIMPLE REVOLVING DRIVE TRAINS
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A. Working Principles
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The basic laws of the simple revolving drive trains define fundamentalrelationships 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 thethree-shaft transmission and, consequently, are valid also for two-shaft epi-cyclic transmissions, and basic transmissions which are merely special cases...
B. Graphical Analysis
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In the previous chapter it has been shown that the function of a revolvingdrive 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-Wolf , therefore, proposed a symbolic representation of the revolving...
C. Design and Operating Characteristics of Simple Planetary Transmissions
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Theoretically, all the simple planetary transmission designs which areshown in figs. 19 to 43, could be designed with any basic speed-ratio. Prac-tically, 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-...
III. COMPOUND EPICYCLIC TRANSMISSIONS
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To extend their range of application, epicyclic transmissions can be com-bined with other revolving or conventional drive trains to form larger drivesystems. This leads to a large variety of compound transmissions whoseoperating characteristics at first sight often seem obscure, and whose analy-sis or synthesis frequently looks complicated. However, basically this is not...
A. Symbols and Types
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For compound drives, which consist of several epicyclic transmissions,the symbols /, 2, s, and/;, as defined in the previous part I (sec. 4), will beused to denote the gears or shafts of the first transmission. The correspond-ing gears or shafts of the second transmission are then denoted accordinglyby the primed symbols, 7', 2', s'', pf and the gears or shafts of a third...
B. Operating Characteristics of Compound Epicyclic Transmissions
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Simple bicoupled transmissions with two degrees of mobility have twodegrees of freedom and three connected shafts. In this respect they are com-pletely similar to the simple epicyclic transmissions as already pointed outby Wolf . The utilization of this analogy leads to a substantial simplifi-cation of the analysis and, especially, the synthesis of these bicoupled trans-...
IV. DESIGN HINTS
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The design of a new transmission usually begins with the determinationof the basic speed-ratio and the selection of the most suitable gear train asexplained in earlier sections. The calculation of the gear parameters and thearrangement of the gears relative to each other can then proceed accordingto the well-known methods established for conventional gear trains. To...
Complete List of Guide Rules
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The following worksheets are directly applicable to all simple epicyclicdrive trains. With the analogous subscripts 1 = I, 2 = II, s = S, so that io= 'in = y/f'm', they are also valid without restriction for simple andhigher bicoupled drive trains. Worksheets 1,3, and 5 apply to transmissionswith one degree of mobility, and 2 and 4 to those with two degrees of...
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About the Author
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Herbert W. Mtiller obtained his doctorate at the Technische Hochschulein Dresden in 1961. He is now chairman of machine elements at thearticles in technical journals in Germany, and has presented papers tothe American Society of Mechanical Engineers on several occasions.The manuscript was prepared for publication by Jacqueline A. Nash....
Page Count: 376
Publication Year: 1982