Study of nonlinear vibrational problems using invertible point transformation

Abstract

In this thesis Invertible Point Transfonnation (JPT) approach is presented in details for analytic solution of nonlinear ODE. For this approach the linear differential equation is converted to nonlinear one and nonlinear differential is also converted to linear one by using suitable lPI approximation. Two classes of nonlinear ODEs arc obtained from free particle equation and pendulum equation using IPT . Two nonlinear ODEs are solved analytically using solutions orthe corresponding linear ODEs.