Accurate analytical solutions for nonlinear oscillators with discontinuous

作者：Bayat Mahdi; Bayat Mahmoud; Pakar Iman

来源：Structural Engineering and Mechanics, 2014, 51(2): 349-360.

DOI：10.12989/sem.2014.51.2.349

• natural frequency
• nonlinear oscillators
• discontinuities
• perturbation method

In this study, three approximate analytical methods have been proposed to prepare an accurate analytical solution for nonlinear oscillators with fractional potential. The basic idea of the approaches and their applications to nonlinear discontinuous equations have been completely presented and discussed. Some patterns are also presented to show the accuracy of the methods. Comparisons between Energy Balance Method (EBM), Variational Iteration Method (VIM) and Hamiltonian Approach (HA) shows that the proposed approaches are very close together and could be easily extend to conservative nonlinear vibrations.

• 出版日期2014-7-25