Abstract
In this paper the equation of motion is derived for
a given set of boundary conditions governing the nonlinear
vibrations of an isotropic plate with an arbitrarily located partthrough crack at the centre of the plate, consisting of a
continuous line. The equilibrium principle is used to derive the
governing equation of motion in order to get a tractable
solution to the vibration problem. Principally, the effects of
rotary inertia and through-thickness shear stress are neglected.
Galerkin’s method is applied to reformulate the governing
equation of the cracked plates into time dependent modal
coordinates. The simplifying assumptions, and their validity,
are described as and when they are made during the derivation
of the equations. Berger’s formulation is used to generate the
form for the in-plane forces and make the model differential
equation nonlinear. Results are presented in terms of
frequency and half crack length, and found extremely good
comparison amongst others.
Asif Israr . (2011) Model for Vibration of Crack Plates for use with Damage Detection Methodologies, Journal of Space Technology , Volume 1, Issue 1.
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