An approximate analytical solution to free vibration analysis of a structural system with a pair of irrational nonlinearities

An effective method is adopted to derive the accurate closed-form of analytical approximate solutions for the structural dynamical system with a pair of strong irrational nonlinearities. The most interesting features of the proposed method are its simplicity and excellent accuracy in a wide range of values of oscillation amplitude

Keywords:

Periodic solution , Analytical approximate solutions , Frequency of oscillators , Chebyshev-Lobatto quadrature rules