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 time-dependent responses. However, influences of the viscoelastic constitutive equations of the biological tissues on damping the vibration 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 frequencies are presented in the diagrams and are discussed.