Course11210831260 lectures

Vibrations of Plates and Shells

Prof. Venkata R. Sonti · IISc Bangalore

About

The course presents theory of vibrations of continuous systems such as rods, plates and shells. Many engineering applications like automobiles, aircraft structures, ship hulls, submarine hulls, pipes carrying water and all such applications where high speed moving parts are used, require knowledge of this topic as high vibrations will be a problem.

Intended audience: Masters and PhD students

Prerequisites: Bachelors in engineering or science. A basic course in lumped vibrations is required.

Lectures

Week 1 Differential Geometry

Week 2 Differential length And Strain

Week 3 Hamilton’s Law for Vibrating shells

Week 4 The general equations Of motion

Week 5 Equations of motion for A vibrating rectangular Plate

Week 6 Modes and natural frequencies of vibrating structures and their Animations

Week 7 Modes and natural frequencies of vibrating Cylindrical shells

Week 8 The Rayleigh Ritz method for approximating natural frequencies and Modeshapes

Week 9 The Rayleigh Ritz method Applied to plates and shells

Week 10 Forced response of plates and shells using modal Summation

Week 11 Forced response of a Cylindrical shell

Week 12 Vibrations of connected structures: The Receptance Method

Syllabus and materials

At NPTEL, as the course publishes them.

Syllabus

Credits and licence

Institution: IISc Bangalore
Department: Mechanical Engineering
Teacher: Prof. Venkata R. Sonti
Level: Graduate
Language: English
Subjects: Engineering
Source: NPTEL
Licence: CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution: NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
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