Exact Solutions for the Response of Purely Nonlinear Oscillators: Overview

L. Cveticanin, I. Kovacic (UDC: 621.373.5) 

This article provides an overview of the exact closed-form solutions for purely nonlinear oscillators. These solutions comprise the period of vibration and free and forced responses for one-degree-of-freedom systems. The use of special function for this purpose is demonstrated, which includes: beta function, gamma function, hypergeometric function, Ateb function, Jacobi amplitude and Jacobi elliptic function.