Media Storage Type : 32 GB USB Stick
NPTEL Subject Matter Expert : Prof. Venkata R. Sonti
NPTEL Co-ordinating Institute : IISc Bangalore
NPTEL Lecture Count : 60
NPTEL Course Size : 4.5 GB
NPTEL PDF Text Transcription : Available and Included
NPTEL Subtitle Transcription : Available and Included (SRT)
Lecture Titles:
Lecture 1 - Introduction to differential geometry
Lecture 2 - Properties of surfaces: First fundamental form
Lecture 3 - Properties of surfaces: Second fundamental form
Lecture 4 - Surfaces of revolution
Lecture 5 - Gauss Codazzi relations
Lecture 6 - Gauss Codazzi (Continued...)
Lecture 7 - Differential element length in a thin shell
Lecture 8 - Strain of a differential element
Lecture 9 - Explicit strain expressions
Lecture 10 - Love simplifications and inconsistencies Of the theory
Lecture 11 - Euler Bernoulli Beam equation using the Hamilton's Law
Lecture 12 - Euler Bernoulli Beam and Hamilton's Law (Continued...)
Lecture 13 - Beta definition, force and moment resultants
Lecture 14 - Hamilton's Law for a general shell
Lecture 15 - The Hamilton's law (Continued...)
Lecture 16 - Final Dynamical Equations and boundary conditions
Lecture 17 - Physics of each term in the dynamic equations
Lecture 18 - Physics of each term (Continued...)
Lecture 19 - The sixth equation of motion
Lecture 20 - The sixth equation of motion (Continued...)
Lecture 21 - Equations of motion for a rectangular plate using Hamilton's law
Lecture 22 - Equations of motion for a rectangular Plate (Continued...)
Lecture 23 - Rectangular plate boundary conditions
Lecture 24 - Rectangular plate equation using force balance
Lecture 25 - Modeshapes and resonances of a vibrating beam
Lecture 26 - Modeshapes and resonances of a vibrating Rectangular plate
Lecture 27 - Modeshapes and resonances of a vibrating Circular plate
Lecture 28 - Vibrating circular plate (Continued...)
Lecture 29 - Modeshapes and resonances of a vibrating Circular ring
Lecture 30 - Details of vibrating rings
Lecture 31 - Insights into vibrations of ring
Lecture 32 - Cylindrical shell equations of motion using Force balance
Lecture 33 - Cylindrical shell: Transverse equation of motion
Lecture 34 - Orthogonality of modeshapes
Lecture 35 - Orthogonality of Modes (Continued...)
Lecture 36 - The Rayleigh Quotient
Lecture 37 - Rayleigh Quotient Example: Simply-supported beam
Lecture 38 - The Rayleigh Ritz method
Lecture 39 - The Rayleigh Ritz method applied to a Complicated system
Lecture 40 - The Lagrange Multiplier method
Lecture 41 - The penalty method
Lecture 42 - Orthogonal polynomials of RB Bhat
Lecture 43 - Rayleigh Ritz paper by RB Bhat
Lecture 44 - Numerical examples of the Rayleigh Ritz method
Lecture 45 - Numerical examples of Rayleigh Ritz method And animations
Lecture 46 - Raylegh Ritz applied to curved structures
Lecture 47 - Forced response of plates and shells
Lecture 48 - Forced response (Continued...)
Lecture 49 - Simply-supported plate response to various forces
Lecture 50 - Simply-supported plate response to various Forces (Continued...)
Lecture 51 - Simply-supported cylindrical shell response to a Point harmonic force
Lecture 52 - Cylindrical shell response (Continued...)
Lecture 53 - Cylindrical shell response (Continued...)
Lecture 54 - Cylindrical shell response to a traveling load using Only transverse modes
Lecture 55 - The Receptance method
Lecture 56 - The receptance method (Continued...)
Lecture 57 - Stiffening a cylindrical shell using rings
Lecture 58 - Stiffening of a cylindrical shell (Continued...)
Lecture 59 - Damping in structures
Lecture 60 - Loss factor and Complex Young modulus