Introduction to vibration problems – terminologies – simple harmonic motions – equation of motion of a vibrating system – Newton‘s laws of motion – Energy methods – Rayleigh‘s method – D‘Alembert‘s principle
SINGLE DEGREE OF FREEDOM SYSTEM
Free and forced vibrations with and without damping – support excitations – transmissibility – vibration measuring instruments.
MULTI DEGREE OF FREEDOM SYSTEM
Two degrees of freedom systems – static and dynamic couplings – vibration absorber– principal co-ordinates – Principal modes and orthogonal conditions – Eigenvalue problems – Hamilton‘s principle – Lagrangean equations and application. Vibration of elastic bodies – vibration of strings – longitudinal, lateral and torsional vibrations.
Approximate methods – Rayleigh‘s method –Dunkerlay‘s method, Holzer Method – matrix iteration method – Computational solutions of approximate methods.
ELEMENTS OF AEROELASTICITY
Aeroelastic problems – Collar‘s aeroelastic triangle – wing divergence – aileron control reversal – flutter – buffeting – elements of Servo elasticity
Reference Book:
1.Bisplinghoff R.L., Ashely H and Hogman R.L. "Aero-elasticity", 4th edition, Dover Publications Inc., New Tork, 1996.
2.V.P.Singh, ―Mechanical Vibrations‖, Dhanpat and Co, 2014.
3.S.Graham Kelly, S.K.Kudari ―Mechanical Vibrations‖, McGraw Hill Education (India) Private Limited, 2010.
4.Francis S.Tse, I.E.Morse and H.T.Hinkle, ―Mechanical Vibrations: Theory and Applications‖, Prentice Hall of India Pvt. Ltd, New Delhi, 2004.
5.Sadhu Singh.S, ―Mechanical Engineering and Noise Control‖, Khanna Publishers, New Delhi, 2003.
Text Book:
1Grover. G.K., ―Mechanical Vibrations‖, 8th Edition, Nem Chand Brothers, Roorkee, India, 2009.
2Thomson W T, ―Theory of Vibration with Application‖ – 3rd editions, CBS Publishers, 2002.
