Vibration analysis of nonlinear systems modelled by a mass attached to a stretched elastic wire

Abstract

Herein, an accurate approximate analytical solution for oscillation of nonlinear systems modelled by a mass attached to a stretched elastic wire is derived using the homotopy analysis method and homotopy Pade technique. Approximate analytical expressions for the frequency and displacement with respect to time are obtained. Comparison between the presented results and numerical solutions shows that the first-order approximation of homotopy Pade technique leads to accurate results.

Keywords:

• Nonlinear vibration
• analytical solution
• elastic wire
• homotopy analysis method
• homotopy Pade technique