Mastering Non-Linear Vibration Analysis

This course covers the comprehensive study of non-linear vibration and its analysis. It begins with an introduction to the fundamental concepts of non-linear vibration, a crucial aspect of mechanical engineering. For example, understanding these concepts can aid in designing structures that can withstand various forces and vibrations. The course then delves into the solution of non-linear equations of motion using straightforward expansion and the Lindstedt Poincare method. It also explores the use of numerical methods and MATLAB for problem-solving. The course further explains the concept of energy equations, the relationship between kinetic and potential energy, and how to plot the phase portrait of a system. Lastly, it introduces various functions like ODE 15, ODE 20, ODE 23, and ODE 45, and approximate methods for finding solutions.