 English
 فارسی
Mechanical Vibration
Introduction
The main objective of the course is to obtain the dynamic response of single and multiple degreeoffreedom (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
Prerequisites:
Dynamics
Engineering Mathematics
Differential Equations
Grading Policy:
40% Midterm Exam
60% Final Exam
Time:

Files:
Homeworks:
Term:
Spring 2017
Grade:
Undergraduate