Fundamental steps in the study of Mechanical Vibrations

Name: Fundamental steps in the study of Mechanical Vibrations
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Vibration Analysis

Created byVikas Dive

Last updated 7/2020

English

What you'll learn

Mechanical Vibration
Fundamentals of free and forced vibrations
Analytical competency in solving vibration problems
Estimate natural frequency for single DOF undamped & damped free vibratory systems
Determine response to forced vibrations due to harmonic excitation, base excitation and excitation due to unbalance forces
Estimate natural frequencies, mode shapes for 2 DOF undamped free longitudinal and torsional vibratory systems.

Course content

1 section • 8 lectures • 1h 59m total length

Introduction4:27
Introduction to course
Lecture 2: Fundamentals of Vibration36:24
This lecture will explain History of vibration, Importance of Vibration, Causes of vibration.
Elements of Vibratory Systems10:03
This lecture will explain about elements of vibratory systems such as spring(Elastic Body), mass (Inertia), Damping(Resistance to Motion)
Basic Definitions & Vector representation of simple harmonic motion26:46
This lecture will explains the basic definitions in vibration
Types of Vibrations12:03
This video will explain the different types of vibrations
Introduction to Physical and Mathematical modeling of vibratory systems13:10
This video will explain the procedure to develop a mathematical model from actual physical system
Equivalent stiffness and damping14:00
This video will explains about finding of equivalents of springs and dampers
formulation of differential equation of motion2:26
this video will explain methods used in formation of equation of motion

Requirements

Strength of Materials, Engineering Mechanics, Engineering Mathematics and Numerical Methods
Diploma/Degree in Engineering

Description

The course will cover fundamental concepts on the vibration of mechanical systems including, but not limited to, Fundamentals of Vibration : Elements of a vibratory system, vector representation of S.H.M., degrees of freedom, Introduction to Physical and Mathematical modeling of vibratory systems : Bicycle, Motor bike and Quarter Car. types of vibration, equivalent stiffness and damping, formulation of differential equation of motion (Newton, D’Alembert and energy method)

Undamped free vibrations: Natural frequency for longitudinal, transverse and torsional vibratory systems.

Damped free vibrations: Different types of damping, Viscous damping – over damped, critically damped and under damped systems, initial conditions, logarithmic decrement, Dry friction or coulomb damping - frequency and rate of decay of oscillations.

Forced vibrations of longitudinal and torsional systems, Frequency Response to harmonic excitation, excitation due to rotating and reciprocating unbalance, base excitation, magnification factor, Force and Motion transmissibility, Quality Factor. Half power bandwidth method.

Free vibration of spring coupled systems – longitudinal and torsional, torsionally equivalent shafts, natural frequency and mode shapes, Eigen value and Eigen vector by Matrix method, Combined rectilinear and angular motion, Vibrations of Geared systems.

Fundamentals of Vibration : Elements of a vibratory system, vector representation of S.H.M., degrees of freedom, Introduction to Physical and Mathematical modeling of vibratory systems : Bicycle, Motor bike and Quarter Car. types of vibration, equivalent stiffness and damping, formulation of differential equation of motion (Newton, D’Alembert and energy method)

Who this course is for:

Mechanical Engineer
Structural Engineer