Mechanical Vibrations Together With Matlab

From the First Elementary Step Through To the Expert Level in Mechanical Vibrations

What you'll learn

Introduction and Basic Definitions

Modelling of Dynamical Vibratory Systems

Free Vibration of Undamped Systems

Free Vibration of Damped Systems

Forced Vibrations

Analysis of Two-DoF Systems

Many Solved Problems in Each Chapter

You also learn how to use Matlab to solve vibrations equations

Requirements

The students should be familiar with Dynamics and Differential Equations

Description

Mechanical Vibration is one the most important and fundamental courses of mechanical engineering. During this course, you will learn how to analyze the motion of different vibratory systems. You will learn the impact and importance of selecting reasonable mass, spring and damping, in order to guarantee a logical motion for a mechanical system. This course paves the way to prepare you for mechanical engineering design.The course is therefore composed of the following chapters:  Chapter 1: Introduction and Basic DefinitionsChapter 2: Modelling of Dynamical Vibratory SystemsChapter 3: Free Vibration of Undamped SystemsChapter 4: Free Vibration of Damped SystemsChapter 5: Forced VibrationsChapter 6: Analysis of Two-DoF Systems In addition, it includes: - Many Solved Examples in Each Chapter - High Quality Pictures- High Quality Videos- Detailed Explanation - You Learn By Solving Relevant Up-to-date Examples - Summary and Review Covered at the End of Each Chapter- Very Clear English, Any Student Can Comprehend the Topic - You Learn How to Combine this Course with Matlab to Maximize Your Expertise. Different Examples are Solved Using Matlab. This course is designed very carefully for the students of mechanical engineering, and people who are interested to learn what mechanical vibration is. It guides you from the first elementary step through to the expertise level in this field. I am sure after passing this course you feel very confident not only in mechanical vibrations, but also in dynamics and differential equations in Matlab.This course can even be used by the students who want to deepen their knowledge in Dynamics, and evaluate how they can combine it with Matlab. You can even combine this course with what you learn in control engineering to investigate how to modulate the motion of mechanical systems.

Overview

Section 1: Course Introduction

Lecture 1 Course Introduction

Section 2: Chapter 1

Lecture 2 Introduction and Basic Definitions

Section 3: Chapter 2: Modelling of Dynamical Vibratory Systems

Lecture 3 Ch2.1: Basic Definitions and Requirements

Lecture 4 Ch2.2: Modelling

Lecture 5 Ch2.2 Example 1

Lecture 6 Ch2.2 Example 2

Lecture 7 Ch2.3: Equivalent Systems

Lecture 8 Ch2.3 Example 3

Lecture 9 Ch2.3 Example 4

Lecture 10 Ch2.3 Example 5

Lecture 11 Ch2.3 Example 6

Lecture 12 Ch2.4 Gravity Force Cancellation

Lecture 13 Ch2.4 Example 7

Lecture 14 Ch2.4 Example 8

Lecture 15 Ch2.4 Example 9

Lecture 16 Ch2.5: Natural Frequency

Lecture 17 Ch2.5 Example 10

Lecture 18 Ch2.6 Further Examples Example 11

Lecture 19 Ch2.6 Further Examples Example 12

Lecture 20 Ch2.6 Further Examples Example 13

Lecture 21 Ch2.6 Further Examples Example 14

Lecture 22 Ch2.6 Further Examples Example 15

Lecture 23 Ch2.6 Further Examples Example 16

Lecture 24 Ch2.6 Further Examples Example 17

Lecture 25 Ch2.6 Further Examples Example 18

Lecture 26 Ch2.6 Further Examples Example 19

Lecture 27 Ch2.6 Further Examples Example 20

Lecture 28 Ch2.6 Further Examples Example 21

Lecture 29 Ch2.6 Further Examples Example 22

Lecture 30 Ch2.6 Further Examples Example 23

Lecture 31 Ch2.6 Further Examples Example 24

Lecture 32 Ch2.6 Further Examples Example 25

Lecture 33 Ch2.6 Further Examples Example 26

Lecture 34 Ch2.6 Further Examples Example 27

Lecture 35 Ch2.6 Further Examples Example 28

Lecture 36 Ch2.6 Further Examples Example 29

Lecture 37 Ch2.6 Further Examples Example 30

Lecture 38 Ch2.6 Further Examples Example 31

Lecture 39 Ch2 Summary

Section 4: Chapter 3: Free Vibration of Undamped Systems

Lecture 40 Ch3.1. Basic Definitions

Lecture 41 Ch3.2. Solving Diff. Eq. of Free Undamped Systems

Lecture 42 Ch3.2. Example 1

Lecture 43 Ch3.3 Solving Diff. Eq. using Matlab Example 2

Lecture 44 Ch3.4. Mechanical Energy of Free Undamped Systems

Lecture 45 Ch3.5. Maximum Kinetic vs. Maximum Potential Energy of Free Undamped Systems

Lecture 46 3.6. When Do We Have Maximum Kinetic and Maximum Potential Energy in Free Undamp

Lecture 47 Ch3.7. Phase Plane Analysis for Free Undamped Systems

Lecture 48 Ch3.8. Examples Example 3

Lecture 49 Ch3.8. Examples Example 4

Lecture 50 Ch3.8. Examples Example 5

Lecture 51 Ch3 Summary

Section 5: Chapter 4: Free Vibration of Damped Systems

Lecture 52 4.1. Basic Definitions

Lecture 53 4.2. Solving Diff. Equation of Free Damped Systems

Lecture 54 4.3. Under-damped Oscillatory Motion

Lecture 55 4.4. Logarithmic Decrement

Lecture 56 Ch4.5 Examples Example 1

Lecture 57 Ch4.5 Examples Example 2

Lecture 58 Ch4.5 Examples Example 3

Lecture 59 Ch4.5 Example 3 - Second Way

Lecture 60 4.6 Phase Plane Analysis for Free Damped Sys. Examples 4 to 6

Lecture 61 4.7. Stability of Free Damped Systems

Lecture 62 4.8. Examples Example 7

Lecture 63 4.8. Examples Example 8

Lecture 64 Ch4 Summary

Section 6: Chapter 5: Forced Vibrations

Lecture 65 5.1. Basic Definitions

Lecture 66 5.1: Basic Definitions Example 1

Lecture 67 5.2. Solving Diff. Equation of Forced Vibrations

Lecture 68 5.3. Harmonic Excitation

Lecture 69 5.4. Magnification Factor (Amplitude Ratio)

Lecture 70 5.4. Magnification Factor Example 2

Lecture 71 5.5. Resonance

Lecture 72 5.6. Examples Example 3

Lecture 73 5.6. Examples Example 4

Lecture 74 5.6. Examples Example 5

Lecture 75 5.6. Examples Example 6

Lecture 76 5.6. Examples Example 7

Lecture 77 Ch5 Summary

Section 7: Chapter 6: Analysis of Two-DoF systems

Lecture 78 6.1. Basic Definitions

Lecture 79 6.2. Obtaining the Equations of Motion (EoM) of a 2-DoF System

Lecture 80 6.3. Examples Example 1

Lecture 81 6.3. Examples Example 2

Lecture 82 6.3. Examples Example 3

Lecture 83 6.3. Examples Example 4

Lecture 84 6.3. Examples Example 5

Lecture 85 6.4. Writing Equations of Motion in Matrix Form

Lecture 86 6.5. Obtaining the Natural Frequency of a 2-DoF system

Lecture 87 6.6. Examples Example 6

Lecture 88 6.7. Motion Analysis of 2-DoF Systems

Lecture 89 6.8. Examples Example 7

This course is designed very carefully for the students of mechanical engineering, and people who are interested to learn what mechanical vibration is.