Can you provide me the Mechanical Vibrations Syllabus for ME 7 Sem 2010 Scheme of VTU (Visvesvaraya Technological University), Belgaum?

The Mechanical Vibrations Syllabus for ME 7 Sem 2010 Scheme of VTU (Visvesvaraya Technological University), Belgaum is as follows:

Part A

Unit-1 Introduction 6 hours

Types of vibrations, Definitions, Simple Harmonic Motion (S.H.M.), Work done by harmonic force, Principle of super position applied to SHM, Beats, Fourier theorem and problems

Unit-2 Undamped (Single Degree of Freedom) Free Vibrations 7 hours

Derivations for spring mass systems, Methods of Analysis, Natural frequencies of simple systems, Springs in series and parallel, Torsional and transverse vibrations, Effect of mass of spring and Problems.

Unit-3 Damped free vibrations (1DOF) 6 hours

Types of damping, Analysis with viscous damping - Derivations for over, critical and under damped systems, Logarithmic decrement and Problems

Unit-4 Forced Vibrations (1DOF) 7 hours

Introduction, Analysis of forced vibration with constant harmonic excitation - magnification factor, rotating and reciprocating unbalances, excitation of support (relative and absolute amplitudes), force and motion transmissibility, Energy dissipated due to damping and Problems.

Part B

Unit-5 Vibration Measuring Instruments and Whirling of shafts: Seismic Instruments 6 hours

Vibrometers, Accelerometer, Frequency measuring instruments and Problems Whirling of shafts with and without damping, discussion of speeds above and below critical speeds and Problems

Unit-6 Systems with two degrees of Freedom 6 hours

Principle modes of vibrations, Normal mode and natural frequencies of systems (without damping) – Simple spring mass systems, masses on tightly stretched strings, double pendulum, torsional systems, combined rectilinear and angular systems, geared systems and Problems. Undamped dynamic vibration absorber and Problems.

Unit-7 Numerical Methods for multi degree freedom of systems 9 hours

Introduction, Maxwell’s reciprocal theorem, Influence coefficients, Rayleigh’s method, Dunkerley’s method, Stodola method, Holzer’s method, Orthogonality of principal modes, method of matrix iteration and Problems

Unit-8 Modal analysis and Condition Monitoring 5 hours

Signal analysis, dynamic testing of machines and structures, Experimental modal analysis, Machine condition monitoring and diagnosis