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Nonlinear Vibration. Instructor: Prof. S. K. Dwivedy, Department of Mechanical Engineering, IIT Guwahati.
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Description
This course is meant for the senior undergraduate and postgraduate students of Mechanical Engineering, Civil Engineering and Aerospace Engineering. The course provides a brief introduction to linear and nonlinear vibration, and then it discusses the development of nonlinear governing equation of motion, analytical solution methods, stability and bifurcation analysis, numerical techniques, and applications of nonlinear vibrations. (from nptel.ac.in)
Course content
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- Lecture 01 – Introduction to Nonlinear Systems Unlimited
- Lecture 02 – Review of Linear Vibrating Systems Unlimited
- Lecture 03 – Phenomena associated with Nonlinear Systems Unlimited
- Lecture 04 – Commonly Observed Phenomena in Nonlinear Systems Unlimited
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- Lecture 05 – Force and Moment based Approach Unlimited
- Lecture 06 – Hamilton’s Principle and Lagrange Principle Unlimited
- Lecture 07 – Derivation of Equation of Motion of Nonlinear Discrete System Unlimited
- Lecture 08 – Derivation of Equation of Motion of Nonlinear Continuous System Unlimited
- Lecture 09 – Derivation of Equation of Motion of Nonlinear Continuous System (cont.) Unlimited
- Lecture 10 – Ordering Techniques in the Nonlinear Equations Unlimited
- Lecture 11 – Qualitative Analysis – Straight Forward Expansions Unlimited
- Lecture 12 – Numerical Method – Straight Forward Expansions Unlimited
- Lecture 13 – Lindstedt-Poincare Method Unlimited
- Lecture 14 – Method of Multiple Scales Unlimited
- Lecture 15 – Method of Harmonic Balance Unlimited
- Lecture 16 – Method of Averaging Unlimited
- Lecture 17 – Generalized Method of Averaging Unlimited
- Lecture 18 – Krylov-Bogoliubov-Mitropolsky Method of Averaging Unlimited
- Lecture 19 – Incremental Harmonic Balance Method, Intrinsic Multiple Harmonic Balance Method Unlimited
- Lecture 20 – Modified Lindstedt Poincare Method Unlimited
- Lecture 28 – Numerical Methods to Obtain Roots of Characteristic Equation and Time Response Unlimited
- Lecture 29 – Numerical Methods to Obtain Time Response Unlimited
- Lecture 30 – Numerical Methods to Obtain Frequency Response Unlimited
Instructor
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