This review features a survey of some recent developments in asymptotic techniques and
new developments, which are valid not only for weakly nonlinear equations, but also for …

This paper presents the high order frequency-amplitude relationship for nonlinear
transversely vibrating beams with odd and even nonlinearities, using Homotopy …

The concept of negative stiffness may find extensive applications in wave manipulation and
low frequency isolation of vibration. Many realizations use prestressed or buckled …

This study employs spatial optimization principles to investigate the nonlinear vibration of a
flexibly supported Euler–Bernoulli beam, a (1+ 1)-dimensional system subjected to axial …

A vast amount of published work can be found in the field of beam vibrations dealing with
analytical and numerical techniques. This paper deals with analysis of the nonlinear free …

This paper presents a new asymptotic procedure to predict the nonlinear vibrational
behavior of micro-beams pre-deformed by an electric field. The nonlinear equation of motion …

This paper presents the advantages of some effective analytical approaches applied on the
governing equation of transversely vibrating cantilever beams. Six studied methods are Min …

In this paper, an analytic solving procedure for a two degree of freedom oscillatory system
(2DOF) is considered. Vibration of the two-mass system is mathematically modeled with two …

An analytic study has been carried on steady MHD flow and heat transfer in a visco-elastic
fluid flow over a semi-infinite, impermeable and non-isothermal stretching sheet with internal …

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 …