Forced vibrations (1DOF):
Introduction, analysis of forced vibration with constant harmonic excitation, MF, rotating and reciprocating unbalances, excitation of support (relative and absolute amplitudes), force and motion transmissibility, energy dissipated due to damping and numerical problems.
Systems with 2DOF:
Principal modes of vibrations, normal mode and natural frequencies of systems (Damping is not included), simple springmass systems, masses on tightly stretched strings, double pendulum, tensional systems, combined rectilinear and angular systems, geared systems and numerical problems.
Numerical methods for multi DOF systems:
Maxwell’s reciprocal theorem, influence coefficients, Rayleigh’s method, Dunkerley’s method, stodolamethod, orthogonality principle, method of matrix iteration and numerical.
Vibration measuring instruments and whirling of shafts:
seismic instruments, vibrometers, accelerometer, frequency measuring instruments and numerical. Whirling of shafts with and without damping.
Vibration Control:
Introduction, Vibration isolation theory, Vibration isolation and motion isolation for harmonic excitation, practical aspects of vibration analysis, vibration isolation, Dynamic vibration absorbers and Vibration dampers.
Transient Vibration of single Degree-of freedom systems:
Impulse excitation, arbitrary excitation, Laplace transforms formulation, Pulse excitation and rise time, Shock response spectrum, Shock isolation.
Random Vibrations:
Random phenomena Time averaging and expected value, Frequency response function, Probability distribution, Correlation, Power spectrum and power spectral density, Fourier transforms and response.
Course outcomes:
On completion of this subject, students will be able to:
1. Understand and characterize the single and multi degrees of freedom systems subjected to free and forced vibrations with and without damping.
2. Understand the method of vibration measurements and its controlling.
3. Understand the concept of dynamic vibrations of a continuous systems.
TEXT BOOKS:
1. S. S. Rao, “Mechanical Vibrations”, Pearson Education.
2. S. Graham Kelly, “Fundamentals of Mechanical Vibration” - McGraw-Hill.
3. “Theory of Vibration with Application” - William T. Thomson, Marie Dillon Dahleh, ChandramouliPadmanabhan, 5th edition Pearson Education.
4. “Mechanical Vibrations”, V. P. Singh, DhanpatRai& Company.
5. Mechanical Vibrations, W.T. Thomson W.T.- Prentice Hill India
REFERENCE BOOKS
1. S. Graham Kelly, “Mechanical Vibrations”, Schaum’s Outlines, Tata McGraw Hill.
2. C Sujatha, “Vibraitons and Acoustics – Measurements and signal analysis”, Tata McGraw Hill.
3. “Mechanical Vibrations”, G. K. Grover, Nem Chand and Bros