Unit 1 Vibration Terminology

• Introduction and basic concepts of vibration
• Importance of vibration
• Methods of Vibration analysis
• Types of vibrations
• Periodic and Harmonic Motion
• Representation of harmonic motion in complex form 04 10%

Unit 2 Undamped Free Vibrations

4 lecture hours

• Derivation of differential equations
• Torsional Vibrations
• Equivalent stiffness of spring combinations
• Simple & Compound pendulum

Unit 3 Damped Free Vibrations

• Types of damping
• Differential equations of damped free vibrations
• Logarithmic decrement 04 10%

Unit 4 Forced Vibrations

9 lecture hours

• Sources of excitation
• Equations of motion with harmonic force
• Response of rotating and reciprocating unbalanced system
• Support motion
• Vibration Isolation
• Vibration Transmissibility
• Vibration measuring instruments
• Frequency measuring device
• Concept of Critical speed of shaft
• Response to arbitrary loading: Duhamel’s integral
• Impulse Loading

Unit 5 Two degrees of freedom systems

8 lecture hours

• Principal modes of vibrations
• Torsional Vibrations
• Co-ordinate coupling
• Vibrations of undamped two degrees of freedom systems
• Vibrations of damped two degrees of freedom systems
• Undamped Forced vibrations with harmonic excitation
• Vibration absorbers
• Difference between vibration absorber and vibration isolator

Unit 6 Multi Degree of freedom systems

8 lecture hours

• Derivation of equations of motion
• influence coefficient method Properties of vibrating systems: flexibility and stiffness matrices
• reciprocity theorem
• Eigen Values and Vectors
• Modal analysis

Unit 7 Vibration of Continuous Systems

8 lecture hours

• Vibration of strings
• Longitudinal and torsional Subject Code: 3160109 w.e.f