Unit 1 Introduction to Vibration and the Laval-Jeffcott Rotor Model

10 lecture hours

• Co-ordinate systems
• steady state rotor motion
• elliptical motion
• single degree of freedom systems
• free and forced vibrations
• The two degrees of freedom rotor system
• geared systems
• translational motion
• natural frequencies and natural modes
• steady state response to unbalance
• the effect of flexible support

Unit 2 Torsional Vibrations of Rotating Machinery

8 lecture hours

• Modelling of rotating machinery shafting - Multi degree of freedom systems - Determination of natural frequencies and mode shapes - Branched systems - Holzer method
• Numerical methods for fundamental frequency

Unit 3 Rigid Rotor Dynamics and Critical Speed

10 lecture hours

• Rigid disk equation - Rigid rotor dynamics- Rigid rotor on flexible rotor - The gyroscopic effect on rotor dynamics - Whirling of an unbalanced simple elastic rotor
• Unbalance response
• Orbital Analysis and Cascade Plots
• simple shafts with several disks - Effect of axial stiffness - Determination of bending critical speeds - Campbell diagram

Unit 4 Influence of Bearings on Rotor Vibrations

8 lecture hours

• Support stiffness on critical speeds- Stiffness and damping coefficients of journal bearings-computation and measurements of journal bearing coefficients - Mechanics of Hydro dynamic Instability- Half frequency whirl and Resonance whip- Design configurations of stable journal bearings

Unit 5 Balancing of Rotors

• Single plane balancing
• multi-plane balancing
• balancing of rigid rotors
• balancing of flexible rotors
• Influence coefficient and modal balancing techniques for flexible rotors. 08 Subject Code: 3730906 w.e.f