Abstract
Additive manufacturing methods, specifically metal 3D printing techniques are being used to allow intricacies of design never-before possible with traditional machining methods. Nevertheless, while a great deal of research has investigated the characteristics of cracks and defects in traditionally manufactured parts, far less work has examined the dynamic signatures associated with defects common to metal 3D printed parts. This paper investigates the dynamic signatures correlated with internal ablations in an additively manufactured, metal, cantilever beam. A mathematical model is developed to define the second area moment of a rectangular cantilever beam in the presence of a spherical void. Through the direct integration method, an explicit solution for stiffness is determined for a defected beam.
