Nonlinear viscoelastic oscillations of a vehicle in vertical direction excited by static imbalance are considered. When taking into account the rheological properties suspension material and spring, Boltzmann-Volterra principle was used. Mathematical models problem under consideration obtained, which described systems nonlinear integro-differential equations. A solution method based on quadratu...

The study of nonlinear vibrations/oscillations in mechanical and electronic systems has always been an important research area. While important progress in the development of mathematical chaos theory has been made for finite dimensional second order nonlinear ODEs arising from nonlinear springs and electronic circuits, the state of understanding of chaotic vibrations for analogous infinite dim...

In this work, we will give an overview of our recent progress in experimental continuation. First, three different approaches are explained and compared which can be found scientific papers on the topic. We then show S-Curve measurements a Duffing oscillator experiment for derived optimal controller gains analytically. The formula stabilizing PD-controller makes trial error search suitable valu...

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...