Development of Equation of Motion for Nonlinear vibrating systems

In this module following points will be discussed for deriving the governing equation of motion of a system

 

•  Force and moment based approach

• •  Newton's 2^nd Law
• 
  •  Generalized d'Alembert's Principle

•  Energy based Approach

• •  Lagrange Principle
• 
  •  Extended Hamilton's Principle

•  Temporal equation using Galerkin's method for continuous system

•  Ordering techniques, scaling parameters, book-keeping parameter

•  Examples of Commonly used nonlinear equations: Duffing equation, Van der Pol's ......oscillator, Mathieu's and Hill's equations