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Vibrations of Structures

Vibrations of Structures. Instructor: Prof. Anirvan DasGupta, Department of Mechanical Engineering, IIT Kharagpur. All mechanical structures have flexibility, which becomes apparent under loading, more prominently under dynamic loading. It is of fundamental importance to understand the vibration characteristics of a structure in order to appropriately design systems subjected to dynamic loading in order to avoid/enhance resonance, sound generation and transmission, and fatigue failure. This course will expose the different modeling and analysis techniques for continuous systems such as strings, bars, beams and plates. Special emphasis is given to variational and approximate methods, which are useful for handling complex systems. The course is expected to be useful for both academic research and industrial applications, and will provide a stepping stone for more specialized and advanced courses. (from nptel.ac.in)

Lecture 13 - Forced Vibration Analysis: Green's Function


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Lecture 01 - Transverse Vibrations of Strings I
Lecture 02 - Transverse Vibrations of Strings II
Lecture 03 - Axial and Torsional Vibrations of Bars
Lecture 04 - Vibrational Formulation I
Lecture 05 - Vibrational Formulation II
Lecture 06 - Modal Analysis I
Lecture 07 - Modal Analysis II
Lecture 08 - Properties of the Eigenvalue Problem
Lecture 09 - Modal Analysis: Approximate Methods I
Lecture 10 - Modal Analysis: Approximate Methods II
Lecture 11 - The Initial Value Problem
Lecture 12 - Forced Vibration Analysis
Lecture 13 - Forced Vibration Analysis: Green's Function
Lecture 14 - Forced Vibration Analysis (cont.)
Lecture 15 - Damping in Structures I
Lecture 16 - Damping in Structures II
Lecture 17 - Beam Modes I
Lecture 18 - Beam Modes II
Lecture 19 - Modal Analysis of Beams
Lecture 20 - Application of Modal Solution
Lecture 21 - Approximate Methods: Ritz Method, Galerkin Method
Lecture 22 - Topics in Beam Vibrations I
Lecture 23 - Topics in Beam Vibrations II
Lecture 24 - Dynamics of Curved Beams
Lecture 25 - Vibrations of Rings and Arches I
Lecture 26 - Vibrations of Rings and Arches II
Lecture 27 - Dynamics of Membranes
Lecture 28 - Vibrations of Rectangular Membranes
Lecture 29 - Vibrations of Circular Membranes I
Lecture 30 - Vibrations of Circular Membranes II
Lecture 31 - Dynamics of Plates
Lecture 32 - Vibrations of Rectangular Plates
Lecture 33 - Vibrations of Circular Plates
Lecture 34 - Special Problems in Plate Vibrations I
Lecture 35 - Special Problems in Plate Vibrations II