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Ch2-4(6 8 9)c

Ch2-4(6 8 9)c - 1 MAE351 Mechanical Vibrations Lecture...

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1 1 MAE351 Mechanical Vibrations Lecture 9 (Chap. 2.6, 2.8-2.9) 2 2.6 Measurement Devices (Vibration Pick-Up) Vibration is measured using a single DOF vibrating system k x ( t ) m y ( t ) c

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2 3 Accelerometers & Load Cells 4 Piezo-electric Type Accelerometers
3 5 6 Define z ( t )= x ( t )- y ( t ) and assume y = Y e j t , then     y x k y x c x m 2 j t mz cz kz m Ye   The response z ( t ) is given by z ( t )= Ze j ω t , where  2 1 2 2 22 2 ;t a n 1 (1 ) 2 Z rr Yr  

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4 7  22 2 11 (1 ) 2 n Z Y rr   For an acceleration transducer , ( accelerometer’ ) Useful frequency range is given by r <   2 2 Zr Y - Useful frequency range is given by r <   - Compromising between sensitivity and useful frequency range is necessary For a displacement transduce   ) 2 transducer , ( seismometer’ ) - Useful frequency range is given by r >3 - Lower n is desirable, yet requires larger mass 8 2.8 Numerical Simulation and Design Four things we can do computationally to help solve, understand and design vibration problems subject to harmonic excitation Symbolic manipulation Plotting of the time response Solution and plotting of the time response Plotting magnitude and phase
5 9 Symbolic Manipulation Let 2 2 2 2 2 2  n n n n A 0 0 f x and What is x A A

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Ch2-4(6 8 9)c - 1 MAE351 Mechanical Vibrations Lecture...

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