Course11210721240 lectures
Introduction to Mechanical Vibration
Prof. Anil Kumar · IIT Roorkee
About
Vibration is a common phenomenon occurring in a mechanical system. For example, vibration of a rotor due to unbalanced mass, vibration of a vehicle engine at varying speed. The study of a dedicated course is required to understand the fundamental and advance concepts of mechanical vibrations for engineers and designers. This course is of basic level. It introduces fundamentals of vibration, free and forced, undamped and damped vibration, vibration of single Degree of Freedom (DoF) system, 2-DoF and multi-DoF systems, theory of vibration absorbers and vibration instruments.
Intended audience: It is a Elective Course for UG students of Mechanical, Production, Automobile, Aerospace, Civil Engineering and equivalent.
Prerequisites: Completed first year of BE/BTech.
Lectures
Week 1
- Introduction
- Addition of two harmonic motions and beat phenomenon
- Fourier series and harmonic analysis
- Vibration analysis procedure
- Numerical problems
Week 2
- Undamped free vibration
- Energy method
- Damped free vibration
- Viscous damped systems and logarithmic decrement
- Coulomb damping
Week 3
- Harmonic excitations
- Magnification factor and frequency response curve
- Rotating unbalance
- Excitation of the support
- Energy input and dissipation by viscous damping
Week 4
- Coulomb damping and equivalent viscous damping
- Structural damping and equivalent viscous damping
- Vibration isolation and force transmissibility
- Motion transmissibility
- Numerical problems
Week 5
- Transducers and vibration pickup
- Vibrometer
- Accelerometer
- Velocity pickup or Velometer
- Phase distortion and frequency measurement
Week 6
- Undamped free vibration
- Principal modes of vibration
- Combined rectilinear and angular modes
- Damped free vibration
- Undamped forced vibration with harmonic excitation
Week 7
- Undamped dynamic vibration absorber
- Tuned absorber
- Numerical problems
- Critical speed of shafts (Single rotor system)
- Critical speed of shafts (Multi- rotor system)
Week 8
Syllabus and materials
At NPTEL, as the course publishes them.
Credits and licence
- Institution
- IIT Roorkee
- Department
- Mechanical Engineering
- Teacher
- Prof. Anil Kumar
- Level
- Undergraduate
- Language
- English
- Subjects
- Engineering
- Source
- NPTEL
- Licence
- CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
- Attribution
- NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
- Who can watch
- NPTEL gives no rating. Invisible Network shows it to Tweens profiles and older, judged from what the source says about it. How courses are placed