Periodic behavior analysis of nano/microelectromechanical systems (N/MEMS) is an
essential field owing to their many promising applications in microinstruments. The …

Nano/micro actuators are widely used in micro/nano-electro-mechanical systems
(NEMS/MEMS) and the study on their nonlinear oscillation is of great significance. This …

In this paper, Hamiltonian approach for solving vibration in the first approximation is
extended into a high order Hamiltonian approach method for n order approximation. The …

This paper focuses on the numerical investigation of a strongly nonlinear oscillator with
cubic and harmonic restoring force. We transform this oscillator as a free damped cubic …

This paper aims to develop He's new frequency-amplitude formulation as a simple and fast
method for estimating the frequency of nonlinear oscillators in science and engineering …

The pull-in instability is one of the most important phenomena which is usually associated
with nanobeams when they are used in nanoelectromechanical systems (NEMS). This …

In this paper, we apply the global residue harmonic balance method (GRHBM) for solving
the nonlinear differential equation of the circular sector oscillator. The approximated …

The Gaylord's oscillator is a vibrating of a uniform rigid rod without slip** on a rigid circular
surface with a definite radius. The dominant equation of motion was the outcome of a …

This paper aims to solve the nonlinear differential equation of the circular sector oscillator
analytically via the modified harmonic balance method (MHBM). To assess the reliability and …

In the current paper, a powerful approximate analytical approach namely the global residue
harmonic balance method (GRHBM) is proposed for obtaining higher-order approximate …