Approximate Solutions of Nonlinear Oscillation of a Mass Attached to a Stretched Elastic Wire

Nonlinear Oscillation of a Mass Attached to a Stretched Elastic Wire is considered. Equation of motion of the system is obtained. The classical multiple scales method (MS) and multiple scales Lindstedt Poincare (MSLP) method are applied to the equation of motion. Approximate analytical solutions of the equation of motion are obtained using the stated methods. Obtained solutions are compared with numerical solution of the equation of motion. MSLP method gives better results for strong nonlinearities