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Vibration. • Vibration is the study of: the repetitive motion of objects relative to a stationary frame of reference or nominal position (e.g., ...
Typology: Study notes
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MAE 340 – Vibrations
Image from E. Klingelé Image from Sound by Singer Image from dub-connection Image from FDR Library and Museum Image from Hunter Engineering Co. Image from A-Tech Instruments Ltd. Image from Giant Bicycle Inc.
MAE 340 – Vibrations Vibration •
Products that break if they vibrate too much:
MAE 340 – Vibrations Free vs. Forced Vibration
Free Vibration vs. Forced Vibration
MAE 340 – Vibrations SDOF vs. MDOF Systems
Single-Degree-of-Freedom ( SDOF )
The motion may be rectilinear or rotational . Image from D Inman, Engineering Vibration .
Discrete vs. Continuous Systems
A discrete system has rigid
masses connected by massless, flexiblemembers (e.g., massless springs and dampers) MAE 340 – Vibrations k m x c k^ c k^ c
Discrete vs. Continuous Systems
A continuous system has flexible members whose distributed mass issignificant to the vibrations MAE 340 – Vibrations Image from Dlubal Software GmbH Image from www.jeffkemp.com
MAE 340 – Vibrations Spring-Mass System
Solving differential equation
MAE 340 – Vibrations Spring-Mass System
How do we find A and φ ?
MAE 340 – Vibrations Working with Vibration Amplitudes
If we have any two of:
then we can get the other two.
MAE 340 – Vibrations Vibration Nomograph • Use it to specifylimits on vibration: Frequency Displacementamplitude Velocity amplitude Accelerationamplitude
