Programming an Evolutionary Algorithm for the Estimation of Non-Linear Damping Vibration Parameters

Abstract

The use of genetic algorithms (GAs) has branched out into various disciplines such as mechanical engineering, providing solutions in cases where some models do not have a mathematical solution. In the field of mechanical vibrations, there are empirical nonlinear models that seek to represent the physical behavior of certain elements, such as in aeronautical applications, where stiffness and damping in structures can present hysteresis and can be represented by means of the Bouc-Wen (BW) model. This model includes constants that define the behavior of non-linear stiffness and damping, which are difficult to obtain since they are empirical models. This work presents the results of programming a GA to estimate the BW model constants for wire rope springs, commonly used as vibration isolators that have nonlinear stiffness and damping resulting in hysteresis behavior.