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Course Co-ordinated by IIT Guwahati
Coordinators
 
Prof. Rajiv Tiwari
IIT Guwahati

 
Prof. S.K. Dwivedy
IIT Guwahati

 

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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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