Non-Linear Vibrations of a Non-Uniform Beam with Symmetrically Located Piezoelectric Patches
2016
scientific article
english
- non-linear vibrations
- piezoactuators
- amplitude-frequency relation
- Winkler foundation
EN In this paper the non-linear vibration behaviour and its modification due to the piezoelectric actuation of a beam with varying cross section and resting on an elastic foundation has been discussed. Due to assumed end conditions the stretching force emerges during the system vibrations. That force can be modified by an axial residual force to enhance or reduce the value of vibrations frequency of the beam. The system is divided onto three segments with the central segment consisted of the core beam and two colocally and perfectly bonded piezo patches. In order to obtain the approximate solutions of the non-linear frequency of the systems the Lindstedt-Poincare method has been utilized. Vast number of numerical results shows that not only the structural parameters of the system have significant effect on its non-linear vibration behaviour at a given amplitude but also the residual force and the elastic foundation modulus.
203 - 210
CC BY (attribution alone)
public
5