Nonlinear nonclassical elasticity applied to the analysis of low frequency flexural vibrations: Theory and experiments.

Autor: Perez-Miravete, Ignacio Tinao, Campos-Pozuelo, Cleofé, Perea, Angel
Předmět:
Zdroj: Journal of the Acoustical Society of America; Mar2009, Vol. 125 Issue 3, p1302-1309, 8p, 1 Black and White Photograph, 2 Diagrams, 1 Chart, 7 Graphs
Abstrakt: Motivated by the increasing interest on nonlinear nondestructive damage detection, a comparison of the nonlinear elastic behavior of damaged samples and their intact state is presented. Flexural vibration is induced in thin glass plates with laser thermal shock induced micro-cracks by means of two thin piezo-ceramic patches glued in a bimorph configuration. The cases of direct excitation of a resonance and excitation of an internal resonance cases are considered. The resulting nonlinear vibrations exhibit the main features of quadratic hysteresis: linear variation of the resonance frequency and quadratic production of the third harmonic. A theoretical model for nonlinear resonant flexural vibrations based on the Preisach–Mayergoyz constitutive relations is proposed for damage quantification. Experimental comparison between the intact and damaged sample indicates an increase in the relevant nonlinearity parameter, indicating a widening of the hysteresis loop due to damage. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index