Derive the equation of the resonance frequency of the uniform cantilever beam shown below by using method of conservation of energy. Solution procedure must be the principle of conservation of energy! Umax, maximum strain energy is equal to max. kinetic energy, Tmax of vibrating body. T max 12 X y²m dx 10. M(x)² El -dx

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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Derive the equation of the resonance frequency of the uniform cantilever beam shown below by using method of
conservation of energy. Solution procedure must be the principle of conservation of energy! Umax, maximum strain
energy is equal to max. kinetic energy, Tmax of vibrating body.
Tmax
1/2
S. y³²m
dx
U=
10.
M(x)2
EI
Transcribed Image Text:Derive the equation of the resonance frequency of the uniform cantilever beam shown below by using method of conservation of energy. Solution procedure must be the principle of conservation of energy! Umax, maximum strain energy is equal to max. kinetic energy, Tmax of vibrating body. Tmax 1/2 S. y³²m dx U= 10. M(x)2 EI
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