ME-335 MECHANICAL VIBRATIONS
CREDIT HOURS
Theory = 3
Practical = 0
COURSE LEARNING OUTCOMES (CLOs)
| S. No. | CLOs | PLO | Taxonomy |
| 1 | Discuss different theoretical concepts related to mechanical vibrations | PLO-1 Engineering Knowledge |
Cognitive Level 2* |
| 2 | Develop mathematical models of various vibratory systems using one or more degrees of freedom | PLO-3 Design/Development of Solutions |
Cognitive Level 5* |
| 3 | Solve different problems to illustrate principles and concepts of free and forced vibrations for single and multi degree of freedom | PLO-2 Problem Analysis |
Cognitive Level 3* |
COURSE CONTENT
- Fundamentals of Vibrations: Basic concepts of vibration (Elementary parts of vibrating systems, degrees of freedom, Discrete and continuous systems); Vibration classification; Vibration analysis procedure; Spring, mass and damping elements, types of damping; Spring Connections, Equivalent stiffness and mass; Harmonic motion (vectorial and complex number representations); Harmonic Analysis (Fourier Series, Time and frequency domain representations)
- Free Vibration of Single Degree of Freedom Systems: Undamped free vibration of translational and torsional systems; Rayleigh’s Energy method; Free vibration of viscously damped systems; Critical Damping; Logarithmic Decrement; Graphical representation of characteristic roots; Parameter variations and root locus representations; Free vibrations with Coulomb’s and Hysteresis damping, Equivalent viscous damping; Stability of systems
- Forced Vibration of Single Degree of Freedom Systems: Response of undamped systems under harmonic force; Beating phenomenon; Response of damped systems under harmonic force; Response of a damped system under the harmonic motion of the base; Response of a damped system under rotating unbalance
- Multi Degree of Freedom Systems, Natural Frequencies and Mode Shapes: Free vibratory undamped and damped systems with more than one degree of freedom systems; natural frequencies; mode shapes; Coordinate coupling and principal coordinates; Application of Newton's Law of Motion for multi-degree freedom systems; Rayleigh’s method of finding fundamental frequency; Holzer’s method of finding natural frequencies
- Vibration Measurement and Control: Vibration nomograph; balancing of rotating machines; whirling and critical speeds of the rotating shaft; vibration isolation and transmissibility; active vibration control; vibration absorbers; vibration pickups (vibrometers, velometers, accelerometers, and phase distortion)
RECOMMENDED BOOKS
Text Book(s)
- Rao, S.S., “Mechanical Vibrations”, 6th edition, McGraw-Hill, 2018.
Reference Book(s)
- Daniel Inman, “Engineering Vibrations”, Prentice Hall, 2013.
- Graham Kelly, “Mechanical Vibrations: Theory and Applications”, Cognella Academic Publishing, 2022
*For details of Taxonomy Levels CLICK HERE
