Course on Mechanical Vibration – Theory and Finite Element Analysis

About Course

The Course Aims to Cover mechanical vibration - Basic Theory and application of Finite Element Methods with Hands on Sessions and Industrial Case Studies.


The course covers basic concepts of vibrations and its applications. Study of vibrations is important to mechanical, aeronautical and civil engineers. It is necessary for a design engineer to have a sound knowledge of vibrations. The emphasis is on application to common engineering situations. The main aim of the course is to prepare the participants to tackle complex and frontier technological problems in vibrations. Thus, participants will gain theoretical knowledge of mechanical vibration and its practical applications with the ability to solve dynamics problems using finite element analysis software. The participants will also be trained to identify and rectify the errors while solving dynamics problems and interpret the results from the analysis. The course is composed of approximately two-half theory and one-half use of commercial software in solving problems.

What Will I Learn?

  • Understand theoretical principles of vibration and the knowledge of vibration analysis techniques for the practical problems.
  • Understand the importance of vibrations in the design of parts/component subjected to dynamics.
  • Apply Newton’s equation of motion and energy methods to solve most relevant problems in engineering domain
  • Choose among various numerical methods for approximate solutions for complex vibration problems.
  • Apply finite element method and demonstrate the software for solving a dynamics and vibration problems.
  • Ability to identify and rectify the errors while solving dynamics and vibration problems
  • Knowledge to interpret the results (frequencies and mode shapes) from finite element analysis.

Topics for this course

7 Lessons80h

Introduction to Vibrations, Basic terminologies.

Introduction to Vibrations: – Types of Vibrations, Definitions and Terminologies, Simple Harmonic Motion (S.H.M.), Principle of Super Position Applied to SHM, Beats, Fourier Theorem, Numerical Example Problems.

Single Degree of Freedom Un-damped Free Vibrations

Single Degree of Freedom Damped Free Vibrations

Single Degree of Freedom of Forced Vibrations

Two Degrees of Freedom Systems

Multi Degree of Freedom Systems

Continuous System

About the instructor

Dr. Jagadish T

Director, Research and Development

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54 Courses

5 students



  • The prerequisites required are basic knowledge of physics, mathematics, numerical techniques, basic of dynamics and general engineering related topics.
  • All those who have already undergone the foundation course Finite Element Methods wish to learn and enhance their knowledge about the applications of finite element analysis procedures in solving vibration problems.

Target Audience

  • Design Engineers/CAE Engineers/Engineers and analysts who are working in Mechanical, automotive, aerospace, civil, railways, defense, nuclear energy, thermal power, wind and related Industry involving design analysis can participate.
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