In this paper, variational iteration (VIM) and parametrized perturbation (PPM) methods have
been used to investigate non-linear vibration of Euler-Bernoulli beams subjected to the axial …

In the present paper, three complicated nonlinear differential equations in the field of
vibration, which are Vanderpol, Rayleigh and Duffing equations, have been analyzed and …

In this study, a novel adapted homotopy perturbation method (HPM) is used to treat the
nonlinear phenomena of free vibration in a system with one degree of freedom. This …

In this paper, the accuracy of He's energy balance method for the analysis of conservative
nonlinear oscillator is improved based on combining features of collocation method and …

This paper focuses on the numerical investigation of the fractional nonlinear oscillator for a
restrained cantilever beam with an intermediate lumped mass. A numerical approach based …

Max–Min Approach (MMA) is applied to obtain an approximate solution of three practical
cases in terms of a nonlinear oscillation system. After finding maximal and minimal solution …

In this paper attempts have been done to solve nonlinear oscillator by using Akbari–Ganji's
Method (AGM). Solving nonlinear equation is difficult due to its high nonlinearity. This new …

Analyzing and modeling the vibrational behavior of arched bridges during earthquake in
order to decrease the exerted damages to the structure is a very hard task to do. In the …

The method of Hamiltonian approach and the energy balance method are applied to obtain
the periodic solutions of nonlinear oscillations of a punctual charge in the electric field of …

Although the deflection of beams has been studied for decades, the solutions were either
linearized (ie small deflection) or based on elliptic integrals or functions (large deflection) …