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Course Detail

Course Name Vibration Analysis
Course Code 15AES352
Program B. Tech. (Bachelor of Technology) in Aerospace Engineering
Year Taught 2019

Syllabus

Unit 1

Introduction to vibration, undamped vibration, natural frequency, damped vibration, viscous damped system, under, over and critically damped system, logarithmic decrement, Coulomb damping, response to initial condition, response to simple harmonic motion, rotating unbalance, base excitation, whirling of shafts, vibration measuring instruments, response to periodic motion.

Unit 2

Response to non-periodic motions, impulse response, step response, convolution and Du Hamel integrals, Numerical methods: Runge-Kutta method, Normal mode analysis, response to initial conditions, beat phenomenon, response to simple harmonic motion, damped vibration, static and dynamic coupling, principle coordinate, decoupling, Rayleigh’s proportionality damping, vibration absorber.

Unit 3

Modeling of multi-degree freedom system, stiffness and flexibility influence coefficients, modeling of beam and portal members, response to periodic and nonperiodic motions, modal analysis (mode – synthesis method), Vibration of continuous: Free vibration of string, bar, shaft and beam.

Text Books

  1. W. T. Thomson, “Theory of vibrations with applications,” Pearson, 1997

Resources

  • Leonard Meirovitch, “Elements of vibration Analysis,” Tata McGraw Hill, 1986.
  • Leonard Meirovitch, “Fundamentals of vibration,” McGraw Hill, 2001.
  • S. S. Rao, “Mechanical vibrations,” Pearson, 2010.

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