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Course Details

TitleSyllabusReference
Machinery Vibration and DiagnosticsSingle degree of freedom system: Differential equation, complex exponential method of solution, energy method, power relations, phase relations, Nyquist diagram. Damping and modal analysis: Damping mechanisms, characterization and behavior of typical damping materials, structural response of multi-degree of freedom (MDOF) damped structures, proportional damping, modal testing, MDOF formulation using Finite Element Method (FEM), application of modal analysis in vibration reduction. Random vibration: Ensemble averages, stationary and ergodic processes, autospectrum, cross-spectrum, Fast Fourier transform, spectrum analysis, Hilbert transform. Vibration measurement: Accelerometers, force gages, instrumented hammers, Fast Fourier transform analyzers and digital filters, applications in vibration measurement. Vibration of beams: Differential equation from Newton"s law and Lagrange equation, boundary conditions, natural frequency and mode shapes, force excitation, dynamic stresses in beams. Machinery Diagnostics: Diagnostic procedures for typical machinery like motors, pumps, diesel engines, gearboxes etc. R.H.Lyon, Machinery Noise and Diagnostics, Butterworths, 1986.

S.G.Kelly, Fundamentals of Mechanical Vibrations, McGraw-Hill, 1993.

S.P.Timoshenko, W. Weaver and D.H.Young, Vibration Problems in Engineering, John Wiley & Sons, 1990.

D.J.Ewins, Modal Testing: Theory and Practice, Research Studies Press, 1995