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Research Papers: Power Transmissions and Gearing

Kinematic Characteristics and Classification of Geared Mechanisms Using the Concept of Kinematic Fractionation

[+] Author and Article Information
Dar-Zen Chen1

Department of Mechanical Engineering, National Taiwan University, Taipei, Taiwan, 10617dzchen@ntu.edu.tw

Win-Bin Shieh

Department of Mechanical Engineering, Mingchi University of Technology, Taipei, Taiwan, 24301

Yu-Ching Yeh

Department of Mechanical Engineering, National Taiwan University, Taipei, Taiwan, 10617

1

Corresponding author.

J. Mech. Des 130(8), 082602 (Jul 10, 2008) (7 pages) doi:10.1115/1.2936894 History: Received November 27, 2006; Revised September 13, 2007; Published July 10, 2008

A methodology based on the concept of kinematic fractionation for the revelation of kinematic characteristics and classification of geared mechanisms is presented. It is shown that structurally nonfractionated geared mechanisms can be considered as the combination of kinematic units (KUs). Each KU is considered as the basic motion transmission module inside a geared mechanism. Admissible connections of KUs are identified according to the structural characteristics of one- and two-degree-of-freedom geared mechanisms of up to four KUs. Graphs in the atlas of the geared mechanisms are classified based on the configurations of KUs. Such configurations are then used to construct possible propagation paths of motion via the assignments of input and output links. Since the propagation paths can be modeled by the control block diagram problems, the kinematic relations between input and output links are formulated to gain matrices. According to the types of entities in a gain matrix, various kinematic behaviors are disclosed. It is believed that such kinematic characteristics can be readily transformed into the functional requirements, and the synthesis of geared mechanisms of up to four KUs can be accomplished much easier.

FIGURES IN THIS ARTICLE
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Copyright © 2008 by American Society of Mechanical Engineers
Topics: Mechanisms , Motion
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Figures

Grahic Jump Location
Figure 1

One-DOF, five-link GKC of graph 1400-1-4 (1). (a) Functional schematic. (b) Graph representation. (c) Displacement graph. (d) Disconnected displacement graph. (e) Disconnected KUs. (f) Fractionated KUs. (g) Block configuration of KUs. (h) Propagation path of KUs.

Grahic Jump Location
Figure 2

Two-DOF, six-link GKC of graph 4-1-1 (14). (a) Functional schematic. (b) Graph representation. (c) Fractionated KUs with coaxial-triangle type common linkages. (d) Block configuration of KUs. (e) Propagation path of KUs.

Grahic Jump Location
Figure 3

Two-DOF, seven-link GKC of graph 5-17-1 (15). (a) Graph representation. (b) Fractionated KUs with two coaxial-triangle type common linkages. (c) Block configuration of KUs. (d) Kinematic propagation path VII(a) of KUs.

Grahic Jump Location
Figure 4

One-DOF, six-link GKC of graph 6205-1 (14). (a) Graph representation. (b) Fractionated KUs and end vertices.

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