Tekm,
For the Ti component what geometery are you talking about? The natural frequecies are going to depend on the geometry of the part. You are asking a very specific question that cannot be answered without an FEA modal analysis. A modal analysis should give you your natural frequency spectrum.
To answer your question generally the natural frequencies of the component will be effected if you insert a different material inside, but its going to depend on the stiffness and mass of the added material.
Matlsguy