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Subject Syllabus

ME-502 - Mechanical Vibrations

ME · Semester 5

Course Modules

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disadvantages engineering applications of vibration and noise vector method of representing harmonic motion characteristics of vibration, harmonic analysis and beats phenomenon, work done by harmonic forces on harmonic motion periodic, non- harmonic functions- Fourier series analysis elements of vibratory system lumped and distributed parameter systems.Undamped Free Vibrations: Derivation of differential equation of motion: the energy method, the method based on Newton's second law of motion, and Rayleigh's method.Solution of differential equation of motion: Natural frequency of vibration.Systems involving angular oscillations: the compound pendulum.

under damped, over damped and critically damped systems logarithmic decrement frequency of damped free vibration Coulomb or dry friction damping frequency, decay rate and comparison of viscous and Coulomb damping solid and structural damping slip or interfacial damping.

vector representation of forces excitation due to rotating and reciprocating unbalance vibration Isolation, force and motion transmissibility absolute and relative motion of mass (Seismic Instruments ).Whirling Motion and Critical Speed : Whirling motion and Critical speed : Definitions and significance.Critical speed of a vertical , light flexible shaft with single rotor : with and without damping .Critical speed of a shaft carrying multiple discs (without damping )Secondary critical speed.

Principal modes of vibration torsion vibrations Forced Un-damped vibrations with harmonic excitation Coordinate coupling Dynamic vibration absorber torsion Vibration Absorber Pendulum type of dynamic vibration.

human response the decibel scale relationship between, sound pressure level (SPL), sound power level and sound intensity scale relationship between addition, subtraction and averaging, sound spectra and Octave band analysis loudness weighting networks equivalent sound level, auditory effects of noise hazardous noise, exposure due to machines and equipments hearing conservation and damage risk criteria, daily noise doze.Noise: Sources Isolation and Control: Major sources of noise on road and in industries, noise due to construction equipments and domestic appliances, industrial noise control, strategies- noise control at source (with or without sound enclosures), noise control along the path (with or without partitions and acoustic barriers )noise control at the receiver, ear defenders, earplugs, semi-insert protectors.