Modeling and Vibration Response Analysis of a Human Skull System with a Viscoelastic Nature

In bioengineering, the majority of the hard tissues may be modeled as viscoelastic solids with timedependentresponses. However, influences of the viscoelastic constitutive equations of the biological tissues on damping thevibration have been seldom considered rigorously during the simulation stage. Present paper develops a mathematical approach for the analysis of free vibration of human skull, considering its viscoelastic behavior. A better understanding of ranges of the natural frequencies can be employed to provide new medical facilities or technology to avoid the brain injuries. In this regard, three-dimensional theory of viscoelasticity is used in terms of the Navier eigenvectors. The fundamental equation was solved numerically and the natural frequenciesare presented in the diagrams and are discussed.