Research Papers: Mechanisms and Robotics

Probabilistic Analysis of MEMS Asymmetric Gear Tooth

[+] Author and Article Information
Fatih Karpat

Department of Mechanical Engineering, Uludağ University, 16059 Bursa, Turkey

Stephen Ekwaro-Osire1

Department of Mechanical Engineering, Texas Tech University, Lubbock, TX 79409stephen.ekwaro-osire@ttu.edu

Morshed P. Khandaker

Department of Mechanical Engineering, Texas Tech University, Lubbock, TX 79409


Corresponding author.

J. Mech. Des 130(4), 042306 (Mar 19, 2008) (6 pages) doi:10.1115/1.2885189 History: Received November 20, 2006; Revised October 22, 2007; Published March 19, 2008

Currently, there is an increased interest in the application of microelectromechanical system (MEMS) gear drives. Additionally, requirements for transmitted power and related reliability issues have increased. Reliability issues often occur due to uncertainties of material, geometry, and loading conditions of the MEMS gears. Asymmetric gear teeth are used to improve the performance of gears by increasing the load capacity or by reducing vibrations. In this paper, asymmetric gear teeth are proposed for MEMS applications. The objective of this research is to investigate the feasibility of applying asymmetric gears for MEMS devices while accounting for uncertainty. The Weibull failure theory was applied to four different MEMS gear configurations. The following analyses were carried out in this research: (i) for the calculation of root stress, four different asymmetric gears were used; (ii) for the calculation of the probability of failure, the Weibull failure theory formulization was used, and (iii) the efficacy of the various asymmetric tooth configurations was discussed. Specifically, the probability of failure of the asymmetric gear was extracted for various parameters. The parameters considered included pressure angle, tooth height, and contact ratio. The efficacy of using asymmetric gear teeth was shown in this study.

Copyright © 2008 by American Society of Mechanical Engineers
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Figure 1

Tooth model for the root stress

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Figure 2

Probabilistic analysis of a MEMS gear

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Figure 3

Weibull failure theory

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Figure 4

FE model of Case 3 asymmetric tooth

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Figure 5

Variation of the maximum bending stress due to the applied transmitted load

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Figure 6

Probability of failure of different spur gears

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Figure 7

Mean nominal bending strength



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