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Specifications of Vibration Engineering

Book Details

  • ISBN 978-93-83733-69-9
  • English
  • 2019
  • -
  • -


  • Unit 1. Introduction to Sound: Frequency dependent human response to sound, Sound pressure dependent human response, Relationship among sound power, sound intensity and sound pressure level.

    Introduction to Noise: Auditory and Non auditory effects of Noise, Major sources of the noise, Industrial noise sources, Industrial noise control strategies.

    Introduction to Vibration: Importance and scope of vibrations, terminology and classification, Concept  of Degrees of freedom, Harmonic motion, vectorial representation, complex number representation, addition.


    Unit 2. Undamped Single Degree of Freedom System: Derivation of equation of motion for one dimensional longitudinal, transverse and torsional vibrations without damping using Newton’s second law, D’ Alembert’s principle and Principle of conservation of energy, Compound pendulum and centre of

    Damped vibrations of single degree of freedom systems: Viscous damping, under-damped, critically damped and over-damped systems, Logarithmic decrement. Vibration characteristics of Coulomb damped system and Vibration characteristics of Hysteretic damped systems.


    Unit 3. Forced Vibrations of Single Degree of Freedom Systems: Forced vibration with constant harmonic excitation, Steady state and transient parts,Frequency response curves and phase angle plot, Forced vibration due to excitation of support.

    Vibration Isolation and Transmissibility: Force transmissibility, Motion transmissibility, Forced  vibration with rotating and reciprocating unbalance, Materials used in vibration isolation.


    Unit 4. System with Two Degrees of Freedom: principle mode of vibration, Mode shapes, Undamped forced vibrations of two degrees of freedom system with harmonic excitation, Vibration Absorber, Undamped dynamic vibration absorber and centrifugal pendulum absorber.

    Critical Speed of Shaft: Critical speed of a light shaft without damping, critical speed of shaft having multiple discs, secondary critical speed.


    Unit 5. Many Degrees of Freedom Systems (Exact analysis): Equation of Motion, The matrix method, Eigen Values and Eigen Vectors, Method of influence Coefficients and Maxwell’s reciprocal theorem.  Torsional vibrations of multi rotor system, vibrations of geared system, Generalized coordinates and coordinate coupling Many Degrees of Freedom Systems (approximate methods): Rayleigh’s, Dunkerley’s, Stodola’s and Holzer’s methods.

    Vibrations of continuous systems: Transverse vibration of a string, Longitudinal vibration of a bar, Torsional vibration of a shaft.