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Introduction to Mechanical Vibration

Introduction to Mechanical Vibration. Instructor: Prof. Anil Kumar, Department of Mechanical and Industrial Engineering, IIT Roorkee. 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 advanced 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. (from nptel.ac.in)

Lecture 08 - Damped Free Vibration of Single Degree of Freedom Systems

In this lecture, different type of damping and equation of motion of a SDoF system having viscous damping has been discussed.


Go to the Course Home or watch other lectures:

Fundamentals of Vibration
Lecture 01 - Introduction
Lecture 02 - Addition of Two Harmonic Motions and Beat Phenomenon
Lecture 03 - Fourier Series and Harmonic Analysis
Lecture 04 - Vibration Analysis Procedure
Lecture 05 - Numerical Problems
Free Vibration of Single Degree of Freedom Systems
Lecture 06 - Undamped Free Vibration of Single Degree of Freedom Systems
Lecture 07 - Energy Method
Lecture 08 - Damped Free Vibration of Single Degree of Freedom Systems
Lecture 09 - Viscous Damped Systems and Logarithmic Decrement
Lecture 10 - Coulomb Damping
Forced Vibration of Single Degree of Freedom Systems
Lecture 11 - Harmonic Excitations
Lecture 12 - Magnification Factor and Frequency Response Curve
Lecture 13 - Rotating Unbalance
Lecture 14 - Excitation of the Support
Lecture 15 - Energy Input and Dissipation by Viscous Damping
Lecture 16 - Coulomb Damping and Equivalent Viscous Damping
Lecture 17 - Structural Damping and Equivalent Viscous Damping
Lecture 18 - Vibration Isolation and Force Transmissibility
Lecture 19 - Motion transmissibility
Lecture 20 - Numerical Problems
Vibration Measuring Instruments
Lecture 21 - Transducers and Vibration Pickup
Lecture 22 - Vibrometer
Lecture 23 - Accelerometer
Lecture 24 - Velocity Pickup or Velometer
Lecture 25 - Phase Distortion and Frequency Measurement
Free Vibration of Two-degree of Freedom Systems
Lecture 26 - Undamped Free Vibration: Two Degrees of Freedom
Lecture 27 - Principal Modes of Vibration
Lecture 28 - Combined Rectilinear and Angular Modes
Lecture 29 - Damped Free Vibration: Two Degrees of Freedom
Lecture 30 - Undamped Forced Vibration with Harmonic Excitation
Vibration Absorbers and Critical Speed of Shafts
Lecture 31 - Undamped Dynamic Vibration Absorber
Lecture 32 - Tuned Absorber
Lecture 33 - Numerical Problems
Lecture 34 - Damped Dynamic Vibration Absorber
Lecture 35 - Optimally Tuned Vibration Absorber
Free Vibration of Multi-degree of Freedom Systems
Lecture 36 - Undamped Free Vibration: Multi-degree of Freedom Systems
Lecture 37 - Eigenvalues and Eigenvectors
Lecture 38 - Flexibility Influence Coefficients
Lecture 39 - Stiffness Influence Coefficients
Lecture 40 - Static and Dynamic Coupling