The aim of this paper is firstly to address the consequences of the nonlinear interactions between higher order modes and the first order mode of a flexible cantilever beam. The tested cantilever beam exhibited numerous nonlinear phenomena that are commonly observed in many flexible structures. The experimental results have shown that active control of the nonlinear vibration in a flexible stru...

Nonlinear free vibration analysis of double-walled carbon nanotubes (DWCNTs) embedded in an elastic medium is studied in this paper based on classical (local) Euler-Bernoulli beam theory. Using the averaging method, the nonlinear free vibration responses of DWCNTs are obtained. The result is compared with the obtained results from the harmonic balance method for single-walled carbon nanotubes (...

in this paper, nonlinear equations of motion for laminated composite rectangular plates based on the first order shear deformation theory were derived. using a perturbation method, the nonlinear equation of motion was solved and analytical relations were obtained for natural and nonlinear frequencies. after proving the validity of the obtained analytical relations, as an alternative and simple ...

The dynamics of an electret-based, capacitive, vibration-to-electric micro-converter (energy scavenger) is described by a set of ODEs where a second-order equation is coupled to two first-order equations through strongly-nonlinear terms. The nonlinear regimes of forced oscillations are analyzed with a semi-analytical approach, finding that the system exhibits features typical of Duffing-like no...

An understanding of dynamics of the speech production process may lead to a breakthrough in increasing the quality of synthesized voice and contribute to medical science with respect to treating voice disorder. However, little is known about mechanisms of speech dynamics, in particular about complex interactions of glottal flow and vocal fold vibration. In this paper, a two-dimensional viscoela...

Parametric resonance is a type of nonlinear vibration phenomenon [1], [2] induced from the periodic modulation of at least one of the system parameters and has the potential to exhibit interesting higher order nonlinear behaviour [3]. Parametrically excited vibration energy harvesters have been previously shown to enhance both the power amplitude [4] and the frequency bandwidth [5] when compare...

In this study, nonlinear vibration of a composite cable is investigated by considering nonlinear stress-strain relations. The composite cable is composed of an aluminum wire as reinforcement and a rubber coating as matrix. The nonlinear governing equations of motion are derived about to an initial curve and based on the fundamentals of continuum mechanics and the nonlinear Green-Lagrangian stra...

The problem of coupled flexural-torsional nonlinear vibrations of a piezoelectrically-actuated microcantilever beam as a typical configuration utilized in microcantilever-based sensing is being investigated. The actuation and sensing are both facilitated through bonding a piezoelectric layer (here, ZnO) on the microcantilever surface. Considering different geometrical configurations for the bea...

Abstract   In vibratory systems, linear and nonlinear vibration absorbers can be used to suppress the primary and super-harmonic resonance responses. In this paper, the behavior of a nonlinear system with a nonlinear absorber, under the primary and super-harmonic resonances is investigated. The stiffnesses of the main system and the absorber are cubically nonlinear and the dampers are linear. M...

in this study, forced-vibration analysis of a coupled system of single layered graphene sheets (slgss) subjected to the moving nano-particle is carried out based on nonlocal elasticity theory of orthotropic plate. two slgss are coupled with elastic medium which is simulated by pasternak and visco-pasternak models. using hamilton’s principle, governing differential equations of motion are derive...