Deflection Calibration

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Deflection Calibration

• Mechanical Engineering
• Seokchang Ryu
• Mi Hye Shin

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Moment Diagram
curvature at points
position of sensors
force point
Moment at ? and ?
Beam Theory
?
?
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Equations for Deflection
Derive deflection equations by integration
Notation
Boundary Conditions
?
?
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Plot for Needle Deflection
Before 0.7(mm) error
Error at tip on x-axis 0.09(mm)
Error at tip on z-axis 0.07(mm)
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Assumptions
1.
There are three sensors on two positions.
Each sensor position is the same.
2.
The distance between two positions is constant.
If there is error at one position, then there
will be almost same error at the other position.
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Applying assumptions
1st Assumption
2nd Assumption
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Result_1
If we substitute
in deflection equation, then we
could obtain relation between deflection error
and position error.
(I consider the error in denominator has less
effect than the error in numerator.)
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Result_2
1. The error at tip and ?y have linear relation.
2. Tip error has minimum value at ?y0.20.3(mm)
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Appendix_1
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Appendix_2