Nonlinear Vibration
Get your skills polished in the in mechanical engineering by applying in the course of Nonlinear Vibration by Swayam.
Online
12 Weeks
Free Quick Facts
| Medium Of Instructions | Mode Of Learning | Mode Of Delivery |
|---|---|---|
| English | Self Study | Video and Text Based |
Course Overview
The course on Nonlinear Vibration by Swayam has been structured as a simulation based session where one can visualize the response of the different mechanical systems available, along with the different resonance responses provided. The entire programme has been divided into nine modules and out of the nine modules, the first eight modules are framed on the- various equations of motion available, it also provides the solutions of the procedure to solve the various equations and their application in the daily world.
The eight modules i.e. the last module will be covered over a course of three weeks where the applicants will be provided with three different applications that are related to the projects that will be provided to the students in the practical classes. The Nonlinear Vibration certification benefits is for the students who want to secure a career in the field of manufacturing and aerospace.
The Highlights
- Certificate issued by NPTEL and Indian Institute of Guwahati
- Course organised by Swayam
- 12 weeks course duration
- The programme is AICTE approved FDP course
- Course provided in partnership with NPTEL and Indian Institute of Technology Guwahati
Programme Offerings
- test
- Self-assessments
- Lectures
- videos
- case study
- Quiz
- online learning
- Reading Material.
Courses and Certificate Fees
| Fees Informations | Certificate Availability | Certificate Providing Authority |
|---|---|---|
| INR 1000 | yes | IIT Guwahati (IITG) |
The Nonlinear Vibration certification course is having free registration.
The Nonlinear Vibration fees for the examination is Rs. 1,000/-
Nonlinear Vibration fees details -
Particulars | Amount |
Registration fee | Free |
Examination fee | Rs.1,000/- |
Eligibility Criteria
Certification Qualification Details
To get the Nonlinear Vibration online course certification all the interested students have to first have to register themselves and then appear for the final examination by appearing from the designated exam center. For getting the Nonlinear Vibration certification, all the applicants are required to have score of >=40/100. They should achieve 75% in the final end term examination. They should also achieve a minimum 25% average in 8 out of 12 assignments.
What you will learn
After completing the Nonlinear Vibration programme the students will be developing their skills in-
- Students will be learning about the periodic table and its importance.
- The floquet theory will be discussed elaborately in the Nonlinear Vibration certification syllabus.
- Candidates will be studying the applications of numerical solutions in the session.
- The methods of nonlinear algebra will also be discussed in the course.
- The superimposition rule will be taught to all the candidates.
- Lanrage principle and its real world applications will also be dealt with in this course.
- The duffing equations will also be taught to all the students.
- The analysis of the quasi-periodic system will be done by the students in this course.
- The applicants will be introduced to mechanical systems and will be provided with their application knowledge.
- Method of averaging will also be covered in the course module.
Who it is for
The Nonlinear Vibration training is being recommended to the following candidates-
- Students who want to secure a career in the manufacturing sector can apply for this course.
- Also, all the engineering students can apply for the programme.
- PhD students
- Undergraduate and postgraduate students in mechanical engineering
Application Details
Students have to follow the mentioned steps to secure their seat in the Nonlinear Vibration programme-
Step 1: For securing the application form the students need to visit the link-https://onlinecourses.nptel.ac.in/noc25_me57/preview
Note- The course of this programme is being conducted now. Therefore the students can not apply for this course now. For getting more details they can contact the management.
The Syllabus
Introduction to nonlinear mechanical systems
- Introduction to mechanical systems
- Superposition rule
- Familiar nonlinear equations: Duffing equation, van der Pol’s equation, Mathieu-Hill’s equation
- Lorentz system
- Equilibrium points: potential function
Development of nonlinear equation of motion using symbolic software
- Force and moment based Approach
- Lagrange Principle
- Extended Hamilton’s principle
- Use of scaling and book-keeping parameter for ordering
Solution of nonlinear equation of motion
- Numerical solution
- Analytical solutions: Harmonic Balance method
- Straight forward expansion
- Lindstd-Poincare’ method
- Method of Averaging
- Method of multiple scales
- Method of 3 generalized Harmonic Balance method
Analysis of Nonlinear SDOF system with weak excitation
- Free vibration of undamped and damped SDOF systems with quadratic and cubic nonlinearity
- Forced vibration with simple resonance
Analysis of Nonlinear SDOF system with hard excitation
- Nonlinear system with hard excitations
- Super and sub harmonic resonance conditions
- Bifurcation analysis of fixed-point response
Vibration Analysis of Parametrically Excited system
- Principal and combination parametric resonance conditions
- Floquet theory
- Frequency and forced response of nonlinear parametrically excited system
Analysis of Periodic, quasiperiodic and Chaotic System
- Stability and bifurcation analysis of periodic response
- Analysis of quasi-periodic system
- Analysis of chaotic System
Numerical Methods for Nonlinear system Analysis
- Solutions of a set of nonlinear equations
- Numerical Solution of ODE and DDE equations
- Time response
- Phase portraits
- Frequency response
- Poincare section
- FFT
- Lyapunov exponent
Nonlinear Vibration Absorber
- Equation of motion
- Solution of EOM: Use of Harmonic Balance method
- Program to obtain time and frequency response
Nonlinear Energy Harvester
- Development of Equation of motion: symbolic software
- Solution of EOM: Use of method of Multiple Scales
- Program to obtain time and frequency response
Analysis of electro-mechanical system
- Development of Equation of motion and its solution
- Use of Floquet theory
- Parametric instability regions
- Study of periodic
- Quasiperiodic and chaotic response
Instructors
IIT Guwahati (IITG) Frequently Asked Questions (FAQ's)
The Senior undergraduate as well as post graduate will be helped. The PhD students in Mechanical Engineering can further take up the programme.
After completing the course the students will be placed in industries that are related to automobiles, aerospace and manufacturing.
The students will be issued the certificate by NPTEL and the Institute of Technology, Guwahati.
The Nonlinear Vibration course is having a duration of twelve weeks.
No, all the classes for the Nonlinear Vibration training will be hosted in the digital medium.
The classes for the Nonlinear Vibration programme will be conducted by Indian Institute of Technology, Guwahati.
To apply for the course the students need to have a desktop or a laptop connectivity and a good internet connectivity.
The Nonlinear Vibration fees details are mentioned on the website. Please visit the site to get the details.
No, all the students can directly apply for the Nonlinear Vibration online course by providing their credentials.
The students can apply for the course from the provided link-https://onlinecourses.nptel.ac.in/noc25_me57/preview