400 Commonwealth Drive, Warrendale, PA 15096-0001 U.S.A. Tel: (724) 776-4841 Fax: (724) 776-5760 Web: www.sae.org SAE TECHNICAL PAPER SERIES 2006-01-1643 Designing Kinematic Schemes of Automatic Gearboxes with Angular Velocity Diagrams of Planetary Gear Links Having Three Degrees of Freedom Sergey Haritonov, Alexei Lukyanov and Maxim Nagaitsev KATE LLC. Reprinted From: Tran smission and Driveline 2006 (SP-2001) 2006 SAE World Congress Detroit, Michigan April 3-6, 2006 Downloaded from SAE International by University of British Columbia, Tuesday, July 31, 2018The Engineering Meetings Board has approved this paper for publication. It has successfully completed SAE's peer review process under th e supervision of the session organi zer. This process requires a minimum of three (3) reviews by industry experts. All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior written permission of SAE. For permission and licensing requests contact: SAE Permissions 400 Commonwealth DriveWarrendale, PA 15096-0001-USAEmail: [email protected]: 724-772-4028 Fax: 724-776-3036 For multiple print copies contact: SAE Customer Service Tel: 877-606-7323 (inside USA and Canada)Tel: 724-776-4970 (outside USA)Fax: 724-776-0790Email: [email protected] ISSN 0148-7191 Copyright © 2006 SAE International Positions and opinions advanced in this paper are those of the author(s ) and not necessarily those of SAE. The author is solely responsible for the content of th e paper. A process is available by which discussions will be printed with the pap er if it is publishe d in SAE Transactions. Persons wishing to submit papers to be considered for presentation or publicat ion by SAE should send the manuscript or a 300 word abstract to Secretary, Engineering Meetings Board, SAE. Printed in USADownloaded from SAE International by University of British Columbia, Tuesday, July 31, 2018ABSTRACT Though planetary gears (PGs) are widely applied in automatic gearboxes, there is no systematized method for selection of their kinematic schemes (KSs).Therefore, to develop a complex PG, designers use an existing KS or create a new KS without being assured that the selected KS is the most advanced one. Forevery specific case, a wide range of gears made on thebasis of different KS can be suggested. Choosing between the schemes by comparison is impossible, mainly because one cannot find all KS satisfying theinitial specification without a systemic approach. In case of a wrong selection of KS constructed as a result of random search, a designer cannot implementadvantages of planetary gearboxes in his construction.Therefore, selecting the optimal KS is the crucial stage in designing a new PG. INTRODUCTION Nowadays, the number of gears in automatic gearboxes obviously tends to increase. The companies, such as ZF (ZF-group) and AW (Aisin Warner) have developed families of six-range gearboxes using PGs which consist of three PG sets and formally have four degrees of freedom. However, with the same number of PG sets, the KSs of PGs can be designed which provide for up tonine forward gears and have three degrees of freedom.The method to do this uses properties of angular velocity diagram of the PG links. BASIC PROPERTIES OF ANGULAR VELOCITY DIAGRAM OF PG LINKS Angular velocity diagram represents an axial plane. The PG links are represented by the straight lines that aregeometrical loci of their angular velocity being zero.These lines are called zero straight lines.The zero straight line of the driven link (X) is taken to bethe Y-axis of the angular velocity diagram. The zerostraight line of any other link included into the complexPG, except the guide link (1), can be taken to be the X- axis. Every PG set can be represented on the angular velocity diagram by either of the following ways: crossing o