X
X
X

X
Courses » Vibrations of Structures

Vibrations of Structures

ABOUT THE COURSE
 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.

INTENDED AUDIENCE
 Core for PG specializations in Mechanical, Civil and Aerospace. Elective for UG.

PRE-REQUISITES
 Engineering Mathematics,Dynamics of Machines


INDUSTRIES THAT WILL VALUE THIS COURSE
 Automotive, aerospace, process industries etc.

1907 students have enrolled already!!

COURSE INSTRUCTOR



Dr. Anirvan DasGupta is a faculty in Mechanical Engineering at IIT Kharagpur. His interests are in the mechanics and dynamics of continuous systems. Specifically, his current area of research includes mechanics of inflatable structures, vibration induced transport, and wave propagation in linear and non-linear media. He teaches courses like Mechanics, Kinematics of Machines, Wave Propagation in Continuous Media, Dynamics etc.

COURSE LAYOUT

 Module 1 (Vibrations of strings and bars)
• Transverse Vibrations of Strings – I 
• Transverse Vibrations of Strings – II 
• Axial and Torsional Vibrations of Bars 
• Variational Formulation – I 
• Variational Formulation – II 
• Modal Analysis - I 
• Modal Analysis - II 
• Properties of Eigenvalue Problem
• Modal Analysis: Approximate Methods - I 
• Modal Analysis: Approximate Methods - II 
• The Initial Value Problem
• Forced Vibration Analysis – I 
• Forced Vibration Analysis – II 
• Forced Vibration Analysis – III 
• Damping in Structures
• Tutorial video - I

Module 2 (Vibrations of beams)
• Beam Models - I 
• Beam Models - II
• Modal Analysis of Beams 
• Applications of Modal Solution 
• Approximate Methods 
• Topic in Beam Vibration - I 
• Topic in Beam Vibration - II 
• Dynamics of Curved Beams 
• Vibrations of Rings and Arches
• Tutorial video - II

Module 3 (Vibrations of membranes)
• Dynamics of Membranes
• Vibrations of Rectangular Membrane
• Vibrations of Circular Membrane 
• Tutorial video - III

Module 4 (Vibrations of plates)
• Dynamics of Plates
• Vibrations of Rectangular Plates 
• Vibrations of Circular Plates
• Special Problems in Plate Vibrations 
• Tutorial video - IV

Certification Exam

The exam is optional. Exams will be on 24 April 2016 and 30 April 2016.
Time: 2pm-5pm

Tentative list of exam cities: http://nptel.ac.in/noc/pdf/Exam%20City-list.pdf

Registration url: Announcements will be made when the registration form is open for registrations.

The online registration form has to be filled and the certification exam fee of approximately Rs 1000 needs to be paid.

Certificate

Certificate will be given to those who register and write the exam. Certificate will have your name, photograph and the score in the final exam.

It will have the logos of NPTEL and IIT Kharagpur. It will be e-verifiable at nptel.ac.in/noc.


SUGGESTED READING

 1. Vibrations and waves in continuous mechanical systems, P. Hagedorn and A. DasGupta, John Wiley, Chichester, 2007
2. NPTEL web course Vibrations of Structures, A. DasGupta