EXPERIMENTAL SUPPLEMENTS FOR NONLINEAR VIBRATIONS OF BEAMS

Nonlinear Vibrations of Timoshenko Beams Carrying a Concentrated Mass

Transverse vibrations of Timoshenko type beams carrying a concentrated mass have been investigated. Both ends of this mass-beam system have simply supports. Hamilton Principle has been used in order to derive equation of motion . For this coupled differential equations, approximately solutions have been searched by means of Method of Multiple Scales(a perturbation method). These solutions consi...

Survey of Nonlinear Detection and Identification Techniques for Experimental Vibrations

Nonlinear structural dynamic system identification is often more a subjective art than it is a direct application of some particular method in systems theory. The nonlinear problem is subjective because although there are many analytical methods from which to choose, there is no general approach to detect, characterise, or model input-output relationships in nonlinear systems. This paper is a s...

Finite element reduced order models for nonlinear vibrations of piezoelectric layered beams with applications to NEMS

This article presents a finite element reduced order model for the nonlinear vibrations of piezoelectric layered beams with application to NEMS. In this model, the geometrical nonlinearities are taken into account through a von Kármán nonlinear strain–displacement relationship. The originality of the finite element electromechanical formulation is that the system electrical state is fully descr...

Experimental observation of self-accelerating beams in quadratic nonlinear media.

We present the experimental observation of 1D and 2D self-accelerating nonlinear beams in quadratic media, which are also the first nonlinear self-accelerating beams in any symmetric nonlinearity. Notably, we show that the intensity peaks of the first and second harmonics are asynchronous with respect to one another, but the coupled harmonics exhibit joint acceleration within the nonlinear medi...

Forced Vibrations for a Nonlinear Wave Equation