Mechanical Vibrations' Fundamentals

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Farid Khan

12:38:27

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1. Introduction to mechanical vibrations

1. Why vibration is studied, where vibration exist, what is mechanical vibrations.mp4

32:05

2. Vibrations basics, Causes of vibrations, Vibrations classification.mp4

41:08

3. Degree of freedom (DOF) of a vibration-system, SDOF, 2-DOF, multi-DOF systems.mp4

30:18

2. Free or natural vibrations

1. Undamped natural frequency, equation of motion of SDOF, Newtons & Energy method.mp4

58:58

2.1 Solved problem1.pdf

2. Modeling of simple pendulum under freenatural vibration, solution linearization.mp4

27:52

3. Equation of motion of SDOF undamped system under free vibration(harmonic motion).mp4

50:44

4. Rayleighs method to determine natural frequency of SDOF undamped system.mp4

46:16

3. Damped free or natural vibrations

1.1 Solved problem2.pdf

1.2 Solved problem3.pdf

1. Damping, Spring-Mass-damper system under free vibrations.mp4

01:12:30

2.1 Solved problem4.pdf

2. Finding damping ratio with logarithmic decrement method, effect of spring mass.mp4

53:07

4. Forced vibrations

1. SDOF forced vibrations, damped system.mp4

56:41

2. Response of SDOF damped system under forced vibrations (harmonic excitation).mp4

43:00

3. Base excitation (displacement transmissibility) of SDOF damped system.mp4

47:15

4.1 base excitation solved problem.pdf

4. Base excitation (force transmissibility) of SDOF damped system.mp4

28:52

5. Rotating unbalance.mp4

56:10

6. Vibration isolation (force transmitted to the base).mp4

20:43

7. Vibration isolation (simulation for amplification and isolation regions).mp4

36:23

5. Multi-degree of freedom systems

1. 2-DOF system under free vibrations.mp4

56:25

Description

Free vibration, undamped and damped vibration, modeling of vibratory system, vibration time response, frequency response

What You'll Learn?

Demonstrate an understanding of the fundamentals of mechanical vibrations
Analyse and model free and forced vibration of mechanical systems under harmonic excitation with single degree of freedom lumped parameter modelling
Investigate free and forced vibration of multi degree of freedom systems and predict the time and frequency response of systems
To learn methods for determining the response of single and multi degree of freedom system
To introduce basic knowledge of vibrations in rotating and oscillating bodies
To apply gained knowledge to solve practical problems

Who is this for?

Mechanical, mechatronics, chemical and industrial students and fresh engineers

What You Need to Know?

Basic understanding Engineering Statics and Ordinary Differential Equations (not mandatory)

Awareness of mechanical systems and generic mechanical engineering

More details

Description
This course of mechanical vibrations will cover the basic and fundamental nature and concepts on the vibration of mechanical systems including: review of systems for mechanical vibrations, existence of vibrations in daily life and industry, causes of vibrations in machines and equipment, why the control of vibration is necessary, catastrophe of harsh and abnormal vibrations, why vibration control is necessary, classification of vibratory systems, type of vibration excitation, free/natural vibrations, resonance, damped and undamped vibrations, free undamped vibrations, free damped vibrations, forced undamped vibrations, forced damped vibrations, vibration amplification and its control through damping, damped natural frequency, Newton's method for equation of motion, energy method for equation of motion, frequency of excitation, torsional systems, modeling of vibratory systems, lumped parameter modeling, linear vibrations, systems' response to free andÂ harmonic excitation, single and multiple degree of freedom systems, rotatory machines vibrations, modeling of rotating unbalance, base-excitation, vibration transmissiblity and isolation, vibration displacement, velocity and acceleration, fundamental frequency, natural frequencies and mode shapes, time and frequency response, simulations of systems response to interpret systems' behavior at frequency ratios below less than 1, equal to 1 and above 1. Critical frequencies for machine's operation, how to avoid critical frequencies during machines design and functioning.
Who this course is for:
Mechanical, mechatronics, chemical and industrial students and fresh engineers

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Mechanical Engineering

Farid Khan

Instructor's Courses

Dr Farid Ullah Khan is a Professor in an Engineering University Pakistan. Prof Dr Farid Khan did his PhD in Mechanical Engineering from The University of British Columbia Vancouver, Canada in 2011. He is serving in teaching, research and development for the last 27 years. He has completed his Bachelor’s degree in Mechanical Engineering and Master’s degree in Mechanical Engineering Design from University of Engineering and Technology, Peshawar. Dr Farid Khan is an eminent academic expert and administrator, his field of expertise is mechanical engineering, multi-discipline engineering, energy, green energy, energy harvesting, renewable energy, hydro-power, mechatronic systems and machine health monitoring.

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