This graduate-level course provides a unified treatment of nonlinear oscillations and wave phenomena with applications to mechanical, optical, geophysical, fluid, electrical and flow-structure interaction problems. In mechanical vibration systems components such as springs, masses and dampers are conveniently supposed to behave linearly, resulting in linear vibration theory. Since all vibration systems tend to behave nonlinearly with increasing amplitude of oscillation, a knowledge of nonlinearly vibrations theory is desirable for a mechanical engineer, as specific important nonlinear phenomena can only be explained by this theory.
linear and nonlinear systems, conservative and non-conservative systems; potential well, Phase planes, types of forces and responses, fixed points, periodic, quasi-periodic and chaotic responses; Local and global stability; commonly observed nonlinear phenomena: multiple response, bifurcations, jump phenomena.
Ask a Question
e-book enables you to access interactive reading material to strengthen the skills learned in the sessions.
Online Lab enables you to practice the application of concepts you have learnt in the sessions in the virtual environment.
Tutorials enables you to get easy learning with clear, crisp, and to-the-point content on a wide range of technical and non-technical subjects without any preconditions and impediments.