AN APPLICATION OF ENERGY BALANCE METHOD FOR A CONSERVATIVE X~(1/3) FORCE NONLINEAR OSCILLATOR AND OSCILLATOR AND THE DUFFING EQUATIONS

摘要

In this paper, we use Energy Balance Method (EBM) to nonlinear vibration and oscillation equations to obtain the periodic solutions of a conservative nonlinear oscillator for which the elastic force term is proportional to X~(1/3). The results show that the EBM is very effective and simple so that do not require linearization or small perturbation.