Introduction
SDOF system
Free vibration-GDE derivation
Equivalent stiffnessof spring combination
Free vibration-pendulum, shaft cases
Free vibration-Numericals
Damped vibrations – viscous damping
Overdamping
Critical damping, under damping
Logarithmic decrement.
Numericals-Damped vibrations
Characteristic curves
Forced vibrations- due to externally applied periodic load
Support excitation
Numericals- Forced vibration
Vibration isolation and transmissibility, Force and motion transmissibility
Multi Degree of Freedom Systems – Two degrees of freedom systems
2 DOF- More examples
Static coupling and dynamic couplings
Eigen value problems - Hamilton’s principle - Lagrangean equations
Previousyear QP discussion-Unit 1
Continuous Systems
Vibration of a string under tension, Bar
Vibration of shafts, beam
Numericals-MDOF
Previous year QP discussion-Unit 2
Vibration Instrumentation– Introduction
Types of vibration
Random oscillation
Measurement of vibration
Decibel scale
Transducers, vibrationpick up
Vibration measurement scheme
Piezoelectric accelerometer
Strain gauges and strain measurements, types of bridges
Elements of Aero elasticity
Static vs. dynamic aero-elasticity – collars triangle
Vibration due to coupling of bending and torsion, Simplified expressions for an oscillating airfoil
Wing divergence
Control system reversal
Flutter phenomena and flutter analysis
