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Last updated:

September 23, 2023

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Description

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)

Course Curriculum

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

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