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Research Papers

Defect-Free Synthesis of Stephenson-II Function Generators

[+] Author and Article Information
Wen-Miin Hwang1

Department of Mechanical Engineering, National Cheng Kung University, Tainan, Taiwan 70101, R.O.C.hwang@mail.ncku.edu.tw

Yi-Jie Chen

Project Coordination & Liaison Section, Planning & Promotion Department,  Metal Industries Research and Development Center, Taipei, Taiwan 10075, R.O.C.yijiechen69@gmail.com

1

Corresponding author.

J. Mechanisms Robotics 2(4), 041012 (Oct 14, 2010) (7 pages) doi:10.1115/1.4001728 History: Received October 15, 2008; Revised February 12, 2010; Published October 14, 2010; Online October 14, 2010

This article presents a novel method for the dimensional synthesis of Stephenson-II function generators without order, circuit, and branch defects. The explicit equations relating the generated output and specified variables of Stephenson-II function generators are derived by eliminating and transforming angular variables on two five-bar loops and by using the specified values of input and output variables. Then, the deviation between the generated and required angular positions of the output link of the synthesized mechanism is obtained for the objective function. Using the characteristics of order, circuits, branches, and the geometric features of dead-center configurations for Stephenson-II function generators, the constraint equations for avoiding these defects are proposed for the optimal synthesis of Stephenson-II function generators. The synthesized mechanisms are shown to be defect-free and satisfy all functional requirements. An example is given to demonstrate the feasibility of the proposed method.

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Copyright © 2010 by American Society of Mechanical Engineers
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Figures

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Figure 1

A Stephenson-II mechanism

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Figure 2

Two types of Stephenson-II function generators

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Figure 3

A Stephenson-II function generator driven with a binary link

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Figure 4

An illustration of the deviation between the generated and required angular positions of the output link of a Stephenson-II function generator driven with link 6

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Figure 5

A Stephenson-II function generator driven with a ternary link

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Figure 6

An illustration of the deviation between the generated and required angular positions of the output link of a Stephenson-II function generator driven with link 2

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Figure 7

The attainable region for point F

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Figure 8

The dead-point configuration index μd and a lower bound

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Figure 9

The curve of a required function

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Figure 10

The synthesized Stephenson-II function generator

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Figure 11

The structural error of the synthesized mechanism

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Figure 12

The dead-point configuration index μd of the synthesized mechanism

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