Rotor crack moment of inertia

Abstract

The objective of this article is to evaluate the change in the moment of inertia of a rotor with chordal diagonal triangular crack, in all cross sections from the beginning to the end of it. The triangle used to generate the crack is isosceles and its inclination with respect to the transversal will be constant and equal to one sixth of π. The quotient of the width between the depth of the crack, from its birth and during its growth, is invariant and equal to 0.2. The ratio of the depth of the crack between the radius will vary from 0.4 to 0.6. The moment of inertia of the resulting cross-sectional area is calculated from the moments of inertia of component areas. Since in the antecedents there is information about cracks: transverse chordal rectangular, diagonal chordal rectangular, transverse chordal triangular; the present work expands the knowledge of the moment of inertia of the cracks to those that are triangular diagonal chordal; increasing the evidence for the subsequent early detection of cracks in rotors.