# ME-436 Mechanical Vibrations

ME-436 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 Coginitive Level 2* 2 Develop mathematical models of various vibratory systems using one or more degrees of freedom PLO-3 Coginitive Level 5* 3 Solve different problems to illustrate principles and concepts of free and forced vibrations PLO-2 Coginitive Level 3*

COURSE CONTENT

• Introduction: Main objectives, Elements of a vibratory system, Fundamental features in vibratory systems, Vectorial representation of simple harmonic motion, Degrees of freedom, Damping.
• Single Degree of Freedom Systems: Undamped free vibrations, Damped free vibrations, Forced vibrations.
• Two Degree of Freedom Systems: Undamped and damped free vibrations, Undamped and damped steady state forced vibrations.
• Applications: Equivalent viscous damping, Balancing of machines, Vibration considerations in machine foundation.
• Methods for Finding Natural Frequencies: Rayleigh method, Analytical method and graphical technique, Holzer method.
• Vibrations of Elastic Bodies: Free and forced longitudinal vibrations of a uniform bar, Vibrations of a uniform bar with end masses, Free and forced lateral vibrations of simply supported thin beams, Torsional vibration of circular shaft with single rotor and two rotors, Critical speed of rotating shaft with single rotor and two rotors, Critical speed of rotating shafts. Elementary treatment of analogue computation of vibrations, Simple cases of electro-mechanical systems and analogies.

RECOMMENDED BOOKS

(01) Mechanical Vibrations: Theory and Applications by W. T. Thomson

(02) Elements of Vibration Analysis by L. Meirovitch

(03) Engineering Vibrations by D.J. Inman