Modules / Lectures


Sl.No Chapter Name MP4 Download
1Lec 01 Introduction to differential geometry.Download
2Lec 02 Properties of surfaces:First fundamental form.Download
3Lec 03 Properties of surfaces: Second fundamental form.Download
4Lec 04 Surfaces of revolution.Download
5Lec 05 Gauss Codazzi relations.Download
6Lec 06 Gauss Codazzi contd.Download
7Lec 07 Differential element length in a thin shell.Download
8Lec 08 Strain of a differential element.Download
9Lec 09 Explicit strain expressions.Download
10Lec 10 Love simplifications and inconsistencies Of the theory.Download
11lec 11 Euler Bernoulli Beam equation using the Hamilton’s Law.Download
12Lec 12 Euler Bernoulli Beam and Hamilton’s Law contd.Download
13Lec 13 Beta definition, force and moment resultants.Download
14Lec 14 Hamilton’s Law for a general shell.Download
15Lec 15 The Hamilton’s law continued.Download
16Lec 16 Final Dynamical Equations and boundary conditions.Download
17Lec 17 Physics of each term in the dynamic equations.Download
18Lec 18 Physics of each term continued.Download
19Lec 19 The sixth equation of motion.Download
20Lec 20 The sixth equation of motion contd.Download
21Lec 21 Equations of motion for a rectangular plate using Hamilton’s law.Download
22Lec 22 Equations of motion for a rectangular Plate continued.Download
23Lec 23 Rectangular plate boundary conditions.Download
24Lec 24 Rectangular plate equation using force balance.Download
25Lec 25 Modeshapes and resonances of a vibrating beam.Download
26Lec 26 Modeshapes and resonances of a vibrating Rectangular plate.Download
27Lec 27 Modeshapes and resonances of a vibrating Circular plate.Download
28Lec 28 Vibrating circular plate continued.Download
29Lec 29 Modeshapes and resonances of a vibrating Circular ring.Download
30Lec 30 Details of vibrating rings.Download
31Lec 31 Insights into vibrations of ringsDownload
32Lec 32 Cylindrical shell equations of motion using Force balance.Download
33Lec 33 Cylindrical shell: Transverse equation of motion.Download
34Lec 34 Orthogonality of modeshapes.Download
35Lec 35 Orthogonality of Modes continued.Download
36Lec 36 The Rayleigh Quotient.Download
37Lec 37 Rayleigh Quotient Example: Simply-supported beam.Download
38Lec 38 The Rayleigh Ritz method.Download
39Lec 39 The Rayleigh Ritz method applied to a Complicated system.Download
40Lec 40 The Lagrange Multiplier method.Download
41Lec 41 The penalty method.Download
42Lec 42 Orthogonal polynomials of RB Bhat.Download
43Lec 43 Rayleigh Ritz paper by RB Bhat.Download
44Lec 44 Numerical examples of the Rayleigh Ritz method.Download
45Lec 45 Numerical examples of Rayleigh Ritz method And animations.Download
46Lec 46 Raylegh Ritz applied to curved structures.Download
47Lec 47 Forced response of plates and shells.Download
48Lec 48 Forced response continued.Download
49Lec 49 Simply-supported plate response to various forces.Download

Sl.No Chapter Name English
1Lec 01 Introduction to differential geometry.PDF unavailable
2Lec 02 Properties of surfaces:First fundamental form.Download
Verified
3Lec 03 Properties of surfaces: Second fundamental form.PDF unavailable
4Lec 04 Surfaces of revolution.PDF unavailable
5Lec 05 Gauss Codazzi relations.PDF unavailable
6Lec 06 Gauss Codazzi contd.PDF unavailable
7Lec 07 Differential element length in a thin shell.PDF unavailable
8Lec 08 Strain of a differential element.PDF unavailable
9Lec 09 Explicit strain expressions.PDF unavailable
10Lec 10 Love simplifications and inconsistencies Of the theory.PDF unavailable
11lec 11 Euler Bernoulli Beam equation using the Hamilton’s Law.PDF unavailable
12Lec 12 Euler Bernoulli Beam and Hamilton’s Law contd.PDF unavailable
13Lec 13 Beta definition, force and moment resultants.PDF unavailable
14Lec 14 Hamilton’s Law for a general shell.PDF unavailable
15Lec 15 The Hamilton’s law continued.PDF unavailable
16Lec 16 Final Dynamical Equations and boundary conditions.PDF unavailable
17Lec 17 Physics of each term in the dynamic equations.PDF unavailable
18Lec 18 Physics of each term continued.PDF unavailable
19Lec 19 The sixth equation of motion.PDF unavailable
20Lec 20 The sixth equation of motion contd.PDF unavailable
21Lec 21 Equations of motion for a rectangular plate using Hamilton’s law.PDF unavailable
22Lec 22 Equations of motion for a rectangular Plate continued.PDF unavailable
23Lec 23 Rectangular plate boundary conditions.PDF unavailable
24Lec 24 Rectangular plate equation using force balance.PDF unavailable
25Lec 25 Modeshapes and resonances of a vibrating beam.PDF unavailable
26Lec 26 Modeshapes and resonances of a vibrating Rectangular plate.PDF unavailable
27Lec 27 Modeshapes and resonances of a vibrating Circular plate.PDF unavailable
28Lec 28 Vibrating circular plate continued.PDF unavailable
29Lec 29 Modeshapes and resonances of a vibrating Circular ring.PDF unavailable
30Lec 30 Details of vibrating rings.PDF unavailable
31Lec 31 Insights into vibrations of ringsPDF unavailable
32Lec 32 Cylindrical shell equations of motion using Force balance.PDF unavailable
33Lec 33 Cylindrical shell: Transverse equation of motion.PDF unavailable
34Lec 34 Orthogonality of modeshapes.PDF unavailable
35Lec 35 Orthogonality of Modes continued.PDF unavailable
36Lec 36 The Rayleigh Quotient.PDF unavailable
37Lec 37 Rayleigh Quotient Example: Simply-supported beam.PDF unavailable
38Lec 38 The Rayleigh Ritz method.PDF unavailable
39Lec 39 The Rayleigh Ritz method applied to a Complicated system.PDF unavailable
40Lec 40 The Lagrange Multiplier method.PDF unavailable
41Lec 41 The penalty method.PDF unavailable
42Lec 42 Orthogonal polynomials of RB Bhat.PDF unavailable
43Lec 43 Rayleigh Ritz paper by RB Bhat.PDF unavailable
44Lec 44 Numerical examples of the Rayleigh Ritz method.PDF unavailable
45Lec 45 Numerical examples of Rayleigh Ritz method And animations.PDF unavailable
46Lec 46 Raylegh Ritz applied to curved structures.PDF unavailable
47Lec 47 Forced response of plates and shells.PDF unavailable
48Lec 48 Forced response continued.PDF unavailable
49Lec 49 Simply-supported plate response to various forces.PDF unavailable


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