Dynamic integrity analysis on a non-ideal oscillator
The dynamic integrity of a nonlinear oscillator excited by a non-ideal energy source is analyzed in this paper. A crucial point for the analysis of dynamic integrity is the definition of a safe basin, which implies to defined what is dynamically acceptable. Two different integrity measurements are used to quantify the magnitude of the safe basin. After obtaining the basin attractions as functions of a variable parameter, they give the so-called erosion profiles, which is the key tool for the study of the dynamic integrity. The erosion curves for each measure of integrity are constructed numerically and compared to each other. The dynamic integrity of the periodic solution is studied and the basin erosion is evaluated. The erosion profiles obtained allow us to identify the practical thresholds that guarantee a priori a safe project to be developed.