A Computer Algorithm to Design Compound Gear Trains for Arbitrary RatioSource: Journal of Manufacturing Science and Engineering:;1971:;volume( 093 ):;issue: 001::page 196Author:A. L. Dil Pare
DOI: 10.1115/1.3427875Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A novel numerical method to determine the numbers of teeth in the driver and driven gears in a compound gear train is presented as an algorithm for computer-aided design applications. A brief review of available methods for double-pair gear sets is made, and compared to the proposed algorithm from the viewpoints of precision, computational efficiency, and ease of programming. In comparison, we now have for the first time completely eliminated dependency on tables of prime factors and conjugate fractions, and/or the ingenuity of the designer (albeit an interesting intellectual challenge), and reduced the problem to a direct, straightforward calculation as a self-contained algorithm easily programmed by the designer himself. The arbitrary irrational value of 1/π is used in a numerical example; sixteen candidate gear sets are obtained having an overall ratio within ±5 micro-units. The triple-pair gear set design problem is considered, and an extended form of the algorithm derived. This allows, also for the first time, the systematic design of a triple-pair gear set, and obviates heuristic or cut and try methods. The same value of 1/π is used in an illustrative example, and the results presented in tabular form.
keyword(s): Algorithms , Design , Gears , Computers , Trains , Computer programming , Accuracy , Numerical analysis AND Computer-aided design ,
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contributor author | A. L. Dil Pare | |
date accessioned | 2017-05-09T01:08:33Z | |
date available | 2017-05-09T01:08:33Z | |
date copyright | February, 1971 | |
date issued | 1971 | |
identifier issn | 1087-1357 | |
identifier other | JMSEFK-27557#196_1.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/154990 | |
description abstract | A novel numerical method to determine the numbers of teeth in the driver and driven gears in a compound gear train is presented as an algorithm for computer-aided design applications. A brief review of available methods for double-pair gear sets is made, and compared to the proposed algorithm from the viewpoints of precision, computational efficiency, and ease of programming. In comparison, we now have for the first time completely eliminated dependency on tables of prime factors and conjugate fractions, and/or the ingenuity of the designer (albeit an interesting intellectual challenge), and reduced the problem to a direct, straightforward calculation as a self-contained algorithm easily programmed by the designer himself. The arbitrary irrational value of 1/π is used in a numerical example; sixteen candidate gear sets are obtained having an overall ratio within ±5 micro-units. The triple-pair gear set design problem is considered, and an extended form of the algorithm derived. This allows, also for the first time, the systematic design of a triple-pair gear set, and obviates heuristic or cut and try methods. The same value of 1/π is used in an illustrative example, and the results presented in tabular form. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | A Computer Algorithm to Design Compound Gear Trains for Arbitrary Ratio | |
type | Journal Paper | |
journal volume | 93 | |
journal issue | 1 | |
journal title | Journal of Manufacturing Science and Engineering | |
identifier doi | 10.1115/1.3427875 | |
journal fristpage | 196 | |
journal lastpage | 200 | |
identifier eissn | 1528-8935 | |
keywords | Algorithms | |
keywords | Design | |
keywords | Gears | |
keywords | Computers | |
keywords | Trains | |
keywords | Computer programming | |
keywords | Accuracy | |
keywords | Numerical analysis AND Computer-aided design | |
tree | Journal of Manufacturing Science and Engineering:;1971:;volume( 093 ):;issue: 001 | |
contenttype | Fulltext |