In this paper, homotopy perturbation and modified Lindstedt-Poincare methods are employed for nonlinear free vibrational analysis of simply supported and double-clamped beams subjected to axial loads. Mid-plane stretching effect has also been accounted in the model. Galerkin's decomposition technique is implemented to convert the dimensionless equation of the motion to nonlinear ordinary differ...

Crossties and cable networks are used on cable-stayed bridges to mitigate wind-induced stay vibration. A nonlinear free-vibration analysis of a cable network with random oscillation amplitudes is presented in this study. Specifically, a nonlinear restoring-force spring model is introduced at the crosstie to simulate in-plane network free vibration at large amplitudes. The current constitutive m...

With continual interest in expanding the performance envelope of engineering systems, nonlinear components are increasingly utilized in real-world applications. This causes the failure of wellestablished techniques to mitigate resonant vibrations. In particular, this holds for the linear tuned vibration absorber (LTVA), which requires an accurate tuning of its natural frequency to the resonant ...

The purpose of optimizing isolator parameters is to have a system that is stiff at low frequency but soft in high frequency. However, in this case a small amount of transmitted force will cause a large displacement in isolator. Exceeding the allowable relative displacement may cause serious damage to the system. Therefore a trade off between the transmitted force, which is indicated by absolute...

we consider a new type of integrable coupled nonlinear schrodinger (cnls)equations proposed by our self [submitted to phys. plasmas (2011)]. the explicitform of soliton solutions are derived using the hirota's bilinear method.we show that the parameters in the cnls equations only determine the regionsfor the existence of bright and dark soliton solutions. finally, throughthe linear stabili...

In the present study, nonlinear free vibration behavior of nanobeam subjected to magnetic field is investigated based on Eringen’s nonlocal elasticity and Euler–Bernoulli beam theory. The Hamilton’s principal is adopted to derive the governing equations together with Euler–Bernoulli beam theory and the von-Kármán’s nonlinear strain–displacement relationships. An approximate analytical solution ...

A continuum model is proposed for the dynamics of shallow non-cohesive granular layers driven by vertical vibration of a horizontal rigid plate in vacuo. The granular mass is assumed to behave as a Newtonian liquid while in flight and to exhibit a solid-like rebound from the vibrating plate. The simple version explored here involves two constant parameters, a kinematic viscosity and a coefficie...

A continuum model is proposed for the dynamics of shallow non-cohesive granular layers driven by vertical vibration of a horizontal rigid plate in vacuo. The granular mass is assumed to behave as a Newtonian liquid while in flight and to exhibit a solid-like rebound from the vibrating plate. The simple version explored here involves two constant parameters, a kinematic viscosity and a coefficie...

A ball bouncing repeatedly on a vertically vibrating surface constitutes the famous "bouncing ball" problem, a nonlinear system used in the 1980s, and still in use nowadays, to illustrate the route to chaos by period doubling. In experiments, in order to avoid the ball escape that would be inevitable with a flat surface, a concave lens is often used to limit the horizontal motion. However, we o...

This article presents a damage detection method for prestressed reinforced concrete (PRC) elements based on free vibration tests and nonlinear damping identification. Integrated static and dynamic experiments were carried out on three precast PRC beam specimens. The static loading induced different levels of damage to the beams. At each damage level, impulsive loading was applied to the beams a...