Resonant Frequency & Vibration Depth Gauge

Resonant Frequency&Vibration Depth Gauge Amy M. Libby

Agenda • Concept • Project • Implementation • Results • Conclusion • Questions

Concept • Sr. Design Project – VDG • Provide Measurement Options for Industry • Resonant Frequency • Feedback Oscillation Loop

Concept • Physical Set-up • Components • System Flow

Project • Simulate Project with Python • Show Resonant Frequency • Show ∆ Depth = ∆ Frequency • Show Form of Physical Setup

Implementation • Physical Setup • Relationship Between Particles • Driving Force

Implementation • Conditions: • Most points: • Bottom Boundary: • Top Boundary: • Below Water Level:

Implementation • Other Components of System: • Initial Offset • N=15 Samples • dt=0.01 • LeapFrog • Water Damping Factor 57.8 • K = Stiffness of Cantilever = 1.0

Results No Water Freq=approx. TopAlmost TopMiddle

Results No Water Freq=approx.*2.15 TopAlmost TopMiddle

Results 1/10 Full Freq=approx. TopAlmost TopMiddle

Results 1/10 Full Freq=approx./5.0 TopAlmost TopMiddle

Conclusion • Harmonics at Non-resonant Frequency • Simulation Very Rough • Not Exactly Defined Variables • Does Show Resonance and Water Changes

Summary • Concept • Project • Implementation • Results • Conclusion • Questions

Questions?

Resonant Frequency & Vibration Depth Gauge