文档介绍：Mechanism and Machine Theory 44 (2009) 873–895
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Mechanism and Machine Theory
journal homepage: ate/mechmt
Kinematic synthesis of cam-controlled ary gear trains
Wen-Hsiang Hsieh *
Department of Automation Engineering, National Formosa University, No. 64, Wunhwa Road, Huwei, Yunlin 632, Taiwan, ROC
article info abstract
Article history: In this work, a systematic approach for the kinematic synthesis of cam-controlled plane-
Received 25 February 2008 tary gear trains (CCPGTs) is proposed. First, structural synthesis of (4,5) kinematic chains
Received in revised form 5 May 2008 is performed. Furthermore, kinematic analysis is conducted from its geometry. Moreover,
Accepted 1 July 2008
the B-spline-based motion design approach is presented. Finally, cam profile equations
Available online 5 September 2008
for the new design are derived. In addition, two design examples are illustrated. The results
show that the output speed trajectories designed by using the proposed approach agree
Keywords:
well with their motion requirements.
Kinematic synthesis
2008 Elsevier Ltd. All rights reserved.
Cam-controlled Ó
ary gear train
Cam design
Variable speed mechanism
Motion design
1. Introduction
Cam-controlled ary gear trains (CCPGTs) are ary gear trains with cam pairs. Rothbart [1] illustrated three
CCPGTs, and called them epicyclic gears and moving (or fixed) cam, one of them is shown in Fig. 1a. Chironis [2] also
illustrated PGT in his book, which is shown in Fig. 1b. Although they have different names, both of them are struc-
turally identical. Fig. 2 shows the exploded view PGT shown in Fig. 1b, it consists of a cam groove (the frame), a sun
gear (the output), a ary gear and an arm (the input). In general, the ary arm rotates at constant speed, and the
ary gear is driven to revolve around the sun gear, and to spin around itself simultaneously. At the same time, the
ary gear produces an oscillatory mot