lecture_3_31_11 - Free Vibration of a Cantilever By Chris...

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Free Vibration of a Cantilever By Chris Tyler
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Motivation Provide background in beam theory and mechanical vibration Introduce method for acquiring data Experimentally find the vibrating frequency of a clamped cantilever Observe how the geometry of affects the vibrating frequency
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Outline Beam Theory What is a Cantilever? Description of apparatus Free vs. Forced Vibration Damped vs. Un damped Response Instrumentation Sensor Description Data Acquisition (DAQ) Hardware Software Demonstration and Discussion
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Outline Beam Theory What is a Cantilever? Description of apparatus Free vs. Forced Vibration Damped vs. Un damped Response Instrumentation Sensor Description Data Acquisition (DAQ) Hardware Software Demonstration and Discussion
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Beam Theory Beam theory is used to model structures to determine approximate stresses, strains , displacements, etc. under given loading conditions.
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Beam Theory Lengths : L = 0.468 m 0.381 m, 0.330 m (17 in , 15 in, 13 in) Width : w = 28.6 mm (1.2 in) Thickness : t = 1.59 mm (1/16 in) 2 nd Moment of Inertia : I = 9.58 mm 4 Mass per length : m= 125.1 g/m Density : ρ = 2.75 g/cc Young’s Modulus : E = 69 GPa *Measure of material’s stiffness
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Outline Beam Theory What is a Cantilever? Description of apparatus Free vs. Forced Vibration Damped vs. Un damped Response Instrumentation Sensor Description Data Acquisition (DAQ) Hardware Software Demonstration and Discussion
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This note was uploaded on 09/06/2011 for the course EML 2920 taught by Professor Carrol during the Spring '09 term at University of Florida.

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lecture_3_31_11 - Free Vibration of a Cantilever By Chris...

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