Mechanical Vibrations

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Vibration and oscillation, causes and effects of vibrations Vibration parameters – spring, mass, damper, Damper models, Motion – periodic, non-periodicHarmonic, non- harmonic, Degree of freedom, static equilibrium position, Vibration classification Steps involved in vibration analysis Longitudinal, transverse, torsinal vibration system Methods for formulation of differential equations by Newton, Energy, Lagrangian and Rayleigh’s Method NumericalNumericalViscous damped system – under damped, critically damped Over damped; Logarithmic decrement Coulomb’s damping; Combined viscous and coulomb’s damping NumericalConversion of multi-springs Multi masses, multi – dampers into a single spring and damper linear or rotational co-ordinate system NumericalEigen values and Eigen vectors for linear system torsional two degree of freedom Holzer method for linear and torsional unbranched system; Two rotors Three rotors, geared system; Dunkerley’s method for transverse vibratory system Rayleigh’s method for transverse vibratory system NumericalAnalysis of linear and torsional systems subjected to harmonic force excitation harmonic motion excitation (excluding elastic damper) Force TransmissibilityMotion Transmissibility Typical isolators& Mounts Critical speed of single rotor, undamped Critical speed of single rotor, damped NumericalPrinciple of seismic instruments, vibrometer Accelerometer - undamped, damped NumericalNumericalIntroduction to Conditioning Monitoring and Fault Diagnosis Static and dynamic balancing of multi rotor system Balancing of reciprocating masses In - line engines Balancing of reciprocating masses V engines

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