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Nov 23, 2024
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ME 401 - Vibration Control3 lecture hours 0 lab hours 3 credits
Course Description
This is an introduction to mechanical vibrations, to free and forced vibrations of single-degree of freedom systems, and to two-degree of freedom of systems. Various types of forcing functions are considered for both damped and undamped systems. (prereq: MA 232 , ME 230 )
Course Learning Outcomes
Upon successful completion of this course, the student will be able to:
- Model simple vibratory systems and determine equations of motion
- Solve equations of motion for single degree of freedom systems subject to harmonic, general periodic and arbitrary forcing functions
- Write equations of motion for idealized multi-degree of freedom systems
- Determine natural frequencies and mode shapes for systems with two and three degrees of freedom
- Develop appropriate analytical models for simulation using MATLAB w/ Simulink
- Perform measurements and conduct modal tests on simple systems
Prerequisites by Topic
- Dynamics
- Calculus
- Differential equations
- Computer programming
Course Topics
- Review: Modeling mechanical systems (3 classes)
- Review: Solving differential equations - analytical, numerical methods (2 classes)
- Free vibration (4 classes)
- Harmonically excited vibration (4 classes)
- Fourier series, periodic functions (2 classes)
- Transient vibration (3 classes)
- Systems with two or more degrees of freedom (4 classes)
- Lagrange’s equation (2 classes)
- Vibration control (2 classes)
- Vibration measurement and applications (2 classes)
- Exams (2 classes)
Laboratory Topics
- Free and Forced vibration demonstration and measurement on 1 and 2 DOF systems
Coordinator
Subha Kumpaty
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