JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

UNIT - I

SINGLE AND TWO DEGREE FREEDOM SYSTEMS: Response to Non Periodic Excitations: unit impulse, unit step and unit Ramp functions; response to arbitrary excitations, Principal modes- undamped and damped free and forced vibrations; undamped vibration absorbers.

UNIT - II

MULTI-DEGREE OF FREEDOM SYSTEMS: Introduction Modeling of Continuous systems as Multi- degree of Freedom systems, Using Newton’s second law to derive equations of motion, Influence Coefficients. Potential and kinetic energy expressions in matrix form, Generalized coordinates and generalized forces, Using Lagrange’s equations to derive equations of motion, Equations of motion of undamped systems in matrix form, Eigen value problem, solution of the Eigen value problems – solution of the characteristic equation, orthogonality of normal modes, repeated Eigen values.

UNIT - III

DETERMINATION OF NATURAL FREQUENCIES AND MODE SHAPES: Introduction, Dunkerley’s formula, Rayleigh’s Method- Properties of Rayleigh’s Quotient, Computation of the Fundamental Natural Frequency, Fundamental Frequency of Beams and Shafts. Holzer’s Method-Torsional systems, Spring Mass Systems. Jacobis method, Standard Eigen value Problems.

UNIT - IV

FREQUENCY DOMAIN VIBRATION ANALYSIS: Over view, machine-train monitoring parameters- Data base development-vibration data acquisition-trending analysis-failure- node analysis-signature analysis-root cause analysis.

UNIT - V

Vibration Control in Structures: Introduction, State space representation of equations of motion, Passive control, Active control and semi active control, Free layer and constrained damping layers, piezo electric sensors and actuators for active control, semi active control of automotive suspension systems.

REFERENCE:

• 1. Mechanical Vibrations/Groover /Nem Chand and Bros
• 2. Elements of Vibration Analysis by Meirovitch, TMH, 2001
• 3. Mechanical Vibrations/Schaum Series/ McGraw Hill
• 4. Mechanical Vibrations / SS Rao/ Pearson/ 2009, Ed 4,
• 5. Mechanical Vibrations/Debabrata Nag/Wiley
• 6. Vibration problems in Engineering / S.P. Timoshenko.
• 7. Mechanical Vibrations and sound engineering/ A.G. Ambekar/ PHI
• 8. Theory and Practice of Mechanical Vibrations/JS Rao& K. Gupta/New Age Intl. nd Publishers/Revised 2 Edition