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Design studies of a square ring shaped force sensor - Integrated ...

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INTERNATIONAL JOURNAL OF APPLIED ENGINEERING RESEARCH, DINDIGUL<br />

Volume 1, No 4, 2011<br />

© Copyright 2010 All rights reserved <strong>Integrated</strong> Publishing Association<br />

RESEARCH ARTICLE ISSN ­ 0976­4259<br />

Figure 4: Deflection Pattern <strong>of</strong> a Quarter <strong>of</strong> Square Ring<br />

It has been found that the stress and strain are about 1/4 th <strong>of</strong> the stress – strain for the <strong>ring</strong><br />

<strong>shaped</strong> <strong>force</strong> <strong>sensor</strong>s <strong>of</strong> similar capacities. Beside it, the deflection is about half <strong>of</strong> the<br />

deflection for similar <strong>ring</strong> <strong>shaped</strong> <strong>force</strong> <strong>sensor</strong> [9].<br />

The analytical expressions may be suggested as follow for the <strong>square</strong> <strong>ring</strong> <strong>shaped</strong> <strong>force</strong><br />

<strong>sensor</strong>.<br />

3<br />

0.075PR<br />

d =<br />

EI<br />

(12)<br />

1.5M<br />

s =<br />

2<br />

bt<br />

(13)<br />

1.5M<br />

e =<br />

2<br />

Ebt<br />

(14)<br />

5. Conclusions<br />

The finite element analysis <strong>of</strong> the <strong>square</strong> <strong>ring</strong> <strong>shaped</strong> <strong>force</strong> <strong>sensor</strong> reveals information about<br />

stress / strain distribution and axial deflection pattern <strong>of</strong> <strong>force</strong> <strong>sensor</strong> under action <strong>of</strong> axial<br />

<strong>force</strong>s. The finite element analysis has been used for obtaining vital informations related to<br />

stress – strain and has been used here to modify the analytical expressions available for stress<br />

– strain and deflection for a <strong>square</strong> <strong>ring</strong> <strong>shaped</strong> <strong>force</strong> <strong>sensor</strong>. Further, the stress / strain<br />

732

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