Notice of RetractionOn the effects of crack severity and location on transverse vibration of a non-proportional damped beam

Notice of Retraction

After careful and considered review of the content of this paper by a duly constituted expert committee, this paper has been found to be in violation of IEEE´s Publication Principles.

We hereby retract the content of this paper. Reasonable effort should be made to remove all past references to this paper.

The presenting author of this paper has the option to appeal this decision by contacting TPII@ieee.org.

An analytical investigation is carried out into effects of crack severity and location on vibration characteristics of a continuous non-proportional damped cantilevered beam. The non-proportional damping is introduced into the system through the use of lumped linear damper at free end of the beam. The crack is assumed to be open in all dynamical conditions, and local stiffness at the crack location is obtained through experimental results. Since the damping distribution is not proportional to a linear combination of stiffness and inertia distribution, it leads to complex eigenvalues and eigenfunctions which makes it difficult to have a proper physical interpretation of the eigenfunctions. Considering this, complex natural frequencies and complex time depending mode shapes which occur in conjugate pairs are obtained and the relationship between frequency changes and crack parameters is discussed. It is indicated that the complex natural frequency change is not the same for each mode since it depends on the location and severity of the crack.