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 Coordinators IIT Guwahati IIT Guwahati

Engineering Physics I (Theory) - Web Course

 SN Modules Lectures Lecture Contents Remarks 1 I. Introduction i Overview of the course, practical applications and research trends RT-01 2 ii Harmonic and periodic motions, vibration terminology RT-02 3 II. Single-DOF Free Vibrations i Vibration model, Equation of motion-Natural Frequency RT-03 4 ii Energy method, Rayleigh method RT-04 5 iii Principle of virtual work, Damping models. RT-05 6 III. Single-DOF Free Vibrations i Viscously damped free vibration RT-06 7 ii Special cases: oscillatory, non-oscillatory and critically damped motions. RT-07 8 iii Logarithmic decrement, Experimental determination of damping coefficient. RT-08 9 III. Single-DOF Free Vibrations i Forced harmonic vibration, Magnification factor. RT-09 10 ii Rotor unbalance, Transmissibility RT-10 11 iii Vibration Isolation RT-11 12 iv Equivalent viscous damping, Sharpness of resonance. RT-12 13 IV. Two-DOF Free Vibrations i Generalized and Principal coordinates, derivation of equations of motion SKD-01 14 ii Lagrange’s equation SKD-02 15 iii Coordinate coupling SKD-03 16 iv Forced Harmonic vibration SKD-04 17 V. Vibration Absorber i Tuned absorber, determination of mass ratio. SKD-05 18 ii Tuned and damped absorber, unturned viscous damper. SKD-06 19 VI. Multi-DOF i Derivation of equations of motion, influence coefficient method SKD-07 20 ii Properties of vibrating systems: flexibility and stiffness matrices, reciprocity theorem SKD-08 21 iii Modal analysis: undamped SKD-09 22 iv Modal analysis: damped SKD-10

RT: Rajiv Tiwari                                                     SKD:Santosh Kumar Dwivedy

 SN Modules Lectures Lecture Contents Remarks 23 VII. Calculation of natural frequencies i Rayleigh method SKD-11 24 ii Stodala method SKD-12 25 iii Matrix iteration method SKD-13 26 iv Holzer method and Dunkerley’s method SKD-14 27 VIII. Torsional vibration i Simple systems with one or two rotor masses RT-13 28 ii Multi-DOF systems-transfer matrix method RT-14 29 iii Geared system RT-15 30 iv Branched system RT-16 31 IX. Continuous systems : closed form solutions i Vibration of strings SKD-15 32 ii Longitudinal and torsional vibration of rods SKD-16 33 iii Transverse vibration of beams: equations of motion and boundary conditions SKD-17 34 iv Transverse vibration of beams: natural frequencies and mode shapes SKD-18 35 X. Continuous systems : Approximate solutions i Rayleigh’s energy method SKD-19 36 ii Rayleigh-Ritz method SKD-20 37 iii Assumed modes and Galerkin’s method SKD-21 38 XI. Finite element analysis i Finite element formulation for beams: Galerkin’s method RT-17 39 ii Beams elemental mass and stiffness matrices, Elemental force vector, RT-18 40 iii Global finite element assembly and imposition of boundary conditions and solution procedure. RT-19 41 iv Finite element formulation for rods. RT-20 42 XI. Signature analysis and preventive maintenance i Vibration testing equipments: signal generation, measuring and conditioning instruments RT-21 43 ii Vibration testing equipments: signal analysis instruments RT-22 44 iii Vibration signatures and standards RT-23 45 iv Field balancing of rotors RT-24
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