To save the manipulation cost for seeking a higher order approximation to enhance the
accuracy of analytic solution, the present paper develops a novel perturbation method by …

Nonlinear behaviour of various problems is described by the Duffing model interpreted as a
forced oscillator with a spring which has restoring force. In this paper, a new numerical …

In this paper, a modified harmonic balance method is used to investigate the strongly
nonlinear oscillators. The approximate frequency and periodic solution for both small and …

Abstract In this paper, Newton Harmonic Balance Method (NHBM) is applied to obtain the
analytical solution for an electron beam injected into a plasma tube where the magnetic field …

In this paper, we implemented the Modified Iteration Perturbation Method (MIPM) for
approximating the periodic behavior of a tapered beam. This problem is formulated as a …

Analyzing the nonlinear vibration of beams is one of the important issues in structural
engineering. According to this, an impressive analytical method which is called Modified …

A mathematical model describing the nonlinear oscillations in elastic structures is proposed.
The Energy Balance Method (EBM) is applied to solve the generalized nonlinear Duffing …

Minarets are special structures commonly used in Islamic architectures. The seismic
behaviors of minarets is quite different from that the other well known structures because of …