Introduction
The main objective of the course is to obtain the dynamic response of single and multiple degree-of-freedom (DOF) systems.
- Math preliminaries
- Developing equations of motion
- Single DOF Vibrations
- Multiple DOF Vibrations
- Vibration absorbers
- Natural frequencies and Mode shapes n
- Mode shapes normalization and modal analysis
- Solving for discrete system vibration
Syllabus
Introduction
- Mathematical preliminaries
- Oscillatory motion
- Industrial applications
Single degree of freedom (SDoF) systems
- Derive the equations of motion for SDof system
- Newton’s equation of motion
- Work and energy equation
- Free vibration of undamped SDoF systems
- Forced Vibration of undamped SDoF systems
Types of damping in structures
- Viscous damping
- Coulomb damping
- Structural damping
Single degree of freedom (SDoF) systems
- Free vibration of damped SDoF systems
- Forced vibration of damped SDoF systems
- Vibration isolation
- Transmissibility
- Transient analysis of SDoF systems
- Equation of motion
Multi degrees of freedom (MDoF) systems
- Free vibration of undamped MDoF systems
- Natural frequencies
- Mode shapes
- Time response of MDoF systems
- Forced response of MDoF systems
- Base motion
- Vibration absorbers
- Lagrange’s method
- Modal superposition
Approximation techniques in estimation of natural frequencies and mode shapes
- Dunkerely’s method
- Rayliegh’s method
- Direct iteration method
Files
| Attachment | Size |
|---|---|
| vibration_homework1.docx | 227.34 KB |