Kinematic Precision Scaling With Physical Errors in Miniaturization of Four-Bar Polymer Compliant Machines

[+] Author and Article Information
R. J. Chang

 National Cheng Kung University, Tainan 70101, Taiwan, Republic of China

Y. L. Wang

 National Kaohsiung Marine University, Kaohsiung 811, Taiwan, Republic of China

J. Manuf. Sci. Eng 129(5), 951-960 (Dec 08, 2006) (10 pages) doi:10.1115/1.2738512 History: Received December 07, 2006; Revised December 08, 2006

A precision-scaling kinematic model with the effects of physical error is investigated in the miniaturization of four-bar polymer machines with compliant joints. A pseudolinkages model (PLM) for the multiple-links compliant machine is formulated. A scaling formulation of the multiple-links compliant machine and its associated PLM is developed. A method for scaled-up test and scaled-down analysis of the compliant mechanism with the considerations of physical errors of fabrication processes, material properties, and experimental tests is proposed. By defining an index of signal-to-noise ratio, the performance of the miniature realization under physical errors is evaluated. The applications of the scaling PLM for the miniature realization of a compliant machine are illustrated by performing both numerical analysis and experimental testing on four-bar compliant polyethylene machines.

Copyright © 2007 by American Society of Mechanical Engineers
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Figure 1

Role and use of scaling rules in the development of miniature machines

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Figure 2

Equivalent PLM model of planar multiple-links compliant machines

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Figure 3

Notations of geometrical configuration and angular displacement of an equivalent multiple-links PLM

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Figure 4

An input-output model of equivalent PLM with error effects for a multiple-links polymer machine

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Figure 5

Method of scaled-down PLM in the miniature design, fabrication, and test of multiple-links polymer machines

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Figure 6

FEA for the ideal prototype of a miniature four-bar polymer machine

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Figure 7

Accurately and inaccurately fabricated scaled-up prototypes of four-bar PE machine for experimental tests

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Figure 8

A setup for the experimental test and measurement of miniature compliant machines

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Figure 9

Loaded-displacement analysis and test of accurately scaled-up prototype and actual-scale mechanism of four-bar PE machine

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Figure 10

PLM with error bound for loaded-displacement relation of an inaccurately scaled-up prototype of four-bar PE machine

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Figure 11

S/N ratio of the third-link displacement of a four-bar polymer machine for the scaled-down miniaturization



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