Course Details
Subject {L-T-P / C} : ME6148 : Nonlinear Oscillation { 3-0-0 / 3}
Subject Nature : Theory
Coordinator : Dr. Balaji P.S.
Syllabus
Introduction, Linear vibration, Free vibrations of undamped systems with nonlinear restoring forces, Free oscillations with damping and the geometry of integral curves – a) study of singular points, b) applications using the notion of singularities, Forced oscillations of systems with nonlinear restoring force, self sustained oscillations – a) free oscillations, b) forced oscillations in self-sustained systems, Hill’s equation and its application to the study of the stability of nonlinear oscillations.
Course Objectives
- To understand the fundamentals of monlinear oscillations.
- To understand the modelling of nonlinear oscillation
- To create knowledge on the stability of nonlinear osciallation
Course Outcomes
The student will able: <br />1. to develop an equation of motion for nonlinear systems <br />2. to analyse and understand the behaviour of nonlinear oscillations. <br />3. to predict the behaviour of nonlinear oscillation systems
Essential Reading
- A.H. Nayfeh, Applied nonlinear dynamics: analytical, computational, and experimental methods, Wiley-Interscience , 1995
- Moon, F. C, Chaotic & Fractal Dynamics: An Introduction for Applied Scientists and Engineers, Wiley , 1992
Supplementary Reading
- Evan-Ivanowski, R. M, Resonance Oscillations in Mechanical Systems, Elsevier , 1976
- Steven H. Strogatz, Nonlinear Dynamics and Chaos, CRC Press , 2015
Journal and Conferences
- Nonlinear Dynamics, Springer
- Communications in Nonlinear Science and Numerical Simulation, Elsevier