Lec 06 Gauss Codazzi contd.

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Lec 07 Differential element length in a thin shell.

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Lec 08 Strain of a differential element.

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Lec 09 Explicit strain expressions.

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Lec 10 Love simplifications and inconsistencies Of the theory.

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lec 11 Euler Bernoulli Beam equation using the Hamilton’s Law.

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Lec 12 Euler Bernoulli Beam and Hamilton’s Law contd.

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Lec 13 Beta definition, force and moment resultants.

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Lec 14 Hamilton’s Law for a general shell.

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Lec 15 The Hamilton’s law continued.

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Lec 16 Final Dynamical Equations and boundary conditions.

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Lec 17 Physics of each term in the dynamic equations.

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Lec 18 Physics of each term continued.

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Lec 19 The sixth equation of motion.

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Lec 20 The sixth equation of motion contd.

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Lec 21 Equations of motion for a rectangular plate using Hamilton’s law.

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Lec 22 Equations of motion for a rectangular Plate continued.

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Lec 23 Rectangular plate boundary conditions.

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Lec 24 Rectangular plate equation using force balance.

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Lec 25 Modeshapes and resonances of a vibrating beam.

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Lec 26 Modeshapes and resonances of a vibrating Rectangular plate.

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Lec 27 Modeshapes and resonances of a vibrating Circular plate.

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Lec 28 Vibrating circular plate continued.

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Lec 29 Modeshapes and resonances of a vibrating Circular ring.

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Lec 30 Details of vibrating rings.

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Lec 31 Insights into vibrations of rings

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Lec 32 Cylindrical shell equations of motion using Force balance.

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Lec 33 Cylindrical shell: Transverse equation of motion.

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Lec 34 Orthogonality of modeshapes.

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Lec 35 Orthogonality of Modes continued.

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Lec 36 The Rayleigh Quotient.

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Lec 37 Rayleigh Quotient Example: Simply-supported beam.

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Lec 38 The Rayleigh Ritz method.

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Lec 39 The Rayleigh Ritz method applied to a Complicated system

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Lec 40 The Lagrange Multiplier method.

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Lec 41 The penalty method.

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Lec 42 Orthogonal polynomials of RB Bhat.

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Lec 43 Rayleigh Ritz paper by RB Bhat.

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Lec 44 Numerical examples of the Rayleigh Ritz method.

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Lec 45 Numerical examples of Rayleigh Ritz method And animations.

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Lec 46 Raylegh Ritz applied to curved structures.

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Lec 47 Forced response of plates and shells.

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Lec 48 Forced response continued.

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Lec 49 Simply-supported plate response to various forces.

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Lec 50 Simply-supported plate response to various Forces continued.

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Lec 51 Simply-supported cylindrical shell response to a Point harmonic force.

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Lec 52 Cylindrical shell response continued.

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Lec 53 Cylindrical shell response continued.

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Lec 54 Cylindrical shell response to a traveling load using Only transverse modes.

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Lec 55 The Receptance method.

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Lec 56 The receptance method continued.

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Lec 57 Stiffening a cylindrical shell using rings.

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Lec 58 Stiffening of a cylindrical shell continued.

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Lec 59 Damping in structures.

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Lec 60 Loss factor and complex Young modulus.

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