Vibration of Structures


Lecture 1 - Transverse Vibrations of Strings - I


Lecture 2 - Transverse Vibrations of Strings - II


Lecture 3 - Axial and Torsional Vibrations of Bars


Lecture 4 - Variational Formulation - I


Lecture 5 - Variational Formulation - II


Lecture 6 - Modal Analysis - I


Lecture 7 - Modal Analysis - II


Lecture 8 - Properties of the Eigenvalue Problem


Lecture 9 - Modal Analysis: Approximate Methods - I


Lecture 10 - Modal Analysis: Approximate Methods - II


Lecture 11 - The Initial Value Problem


Lecture 12 - Forced Vibration Analysis - I


Lecture 13 - Forced Vibration Analysis - II


Lecture 14 - Forced Vibration Analysis - III


Lecture 15 - Damping in Structures


Lecture 16 - Axially Translating Strings


Lecture 17 - d' Alembert's Solution - I


Lecture 18 - d' Alembert's Solution - II


Lecture 19 - Harmonic Waves and Energetics of Wave Motion


Lecture 20 - Scattering of Waves


Lecture 21 - Applications of Wave Solution - I


Lecture 22 - Applications of Wave Solution - II


Lecture 23 - Beam Models - I


Lecture 24 - Beam Models - II


Lecture 25 - Modal Analysis of Beams


Lecture 26 - Applications of Modal Solution


Lecture 27 - Approximate Methods


Lecture 28 - Topic in Beam Vibration - I


Lecture 29 - Topic in Beam Vibration - II


Lecture 30 - Wave Propagation in Beams


Lecture 31 - Dynamics of Curved Beams


Lecture 32 - Vibrations of Rings and Arches


Lecture 33 - Dynamics of Membranes


Lecture 34 - Vibrations of Rectangular Membrane


Lecture 35 - Vibrations of Circular Membrane


Lecture 36 - Special Problems in Membrane Vibrations


Lecture 37 - Dynamics of Plates


Lecture 38 - Vibrations of Rectangular Plates


Lecture 39 - Vibrations of Circular Plates


Lecture 40 - Special Problems in Plate Vibrations