(Department) Biomedical Engineering (Division)
(Level and Major)
Course Title Theory of Vibration
Number of Credits 3 Prerequisite
Course Topics:
-
- The Study of Vibrations
- Mathematical Modeling
- Generalized Coordinates
- Classification of Vibration
- Simple Harmonic Motion & Review of Dynamics
- Springs & Springs in Combination
- Sources of Potential Energy
- Viscous Damping & Energy Dissipated by Viscous Damping
- Inertia Elements
- External Sources
- Free-Body Diagram Method
- Static Deflections and Gravity
- Small Angle or Displacement Assumption
- Equivalent Systems Method
- Standard Form of Differential Equation
- Free Vibrations of an Undamped System, Underdamped, Critically Damped & Overdamped Systems
- Coulomb Damping
- Forced Response of a Viscously Damped System
- Frequency-Squared Excitations
- Response Due to Harmonic Excitation of Support
- Vibration Isolation from Frequency-Squared Excitations
- Practical Aspects of Vibration Isolation
- Multifrequency Excitations
- Impulse & Derivation of Convolution Integral
- Response Due to a General Excitation
- Excitations Whose Forms Change at Discrete Times
- Transient Motion Due to Base Excitation
- Shock Spectrum
- Derivation of the Equations of Motion
- Natural Frequencies and Mode Shapes
- Free Response of Undamped Systems
- Free Vibrations of a System with Viscous Damping
- Principal Coordinates
- Harmonic Response of Two Degree-Of-Freedom Systems
- Dynamic Vibration Absorbers
- Derivation of Differential Equations Using the Free-Body Diagram Method
- Matrix Formulation of Differential Equations for Linear Systems
- Stiffness Influence Coefficients
- Normal-Mode Solution
- Determination of Natural Frequencies and Mode Shapes
- Normalized Mode Shapes
- Principal Coordinates
Reading Resources:
Evaluation:
30% Final Exam
60% Midterm Exam
10% Homework
.