Computational Prediction on Natural Frequency of Crack Plate

This research is concerned with analytical modelling of the effects of cracks in structural plates and panels within aerospace systems such as aeroplane fuselage, wing, and tail-plane structures, and, as such, is part of a larger body of research into damage detection methodologies in such systems. This study is based on generating a so-called reduced order analytical model of the behaviour of the plate panel, within which a crack with some arbitrary characteristics is present, and which is subjected to a force that causes it to vibrate. In practice such a scenario is potentially extremely dangerous as it can lead to failure, with obvious consequences. The equation that is obtained is in the form of the classical Duffing equation, in this case, the coefficients within the equation contain information about the geometrical and mass properties of the plate, the loading and boundary conditions, and the geometry, location, and potentially the orientation of the crack Plate.

Autorentext
In this book , a new analytical model of a cracked isotropic plate subjected to transverse harmonic excitations has been proposed, based onclassical plate theory. This can be used to determine both the critical forcing amplitude as well as the jump frequencies in single mode systems such as this model depicts.