  Plane wave solutions of Schrodinger-like equations obtained from the metric
perturbations in 5D braneworld scenarios can present resonant modes. The search
for those structures is important because they can provide us massive modes
with not suppressed couplings with the membrane. We propose in this paper the
study of graviton Kaluza-Klein spectrum in a special kind of membrane that
possesses internal structure. The interest in study of these deformed defects
is because they have a more rich internal structure that has implications in
the matter-energy density along the extra dimensions an this produces a
space-time background whose curvature has a splitting, if compared to the usual
kink-like models. Such models arise from $(4,1)$-branes constructed with one
scalar field coupled with gravity where we find two-kink solutions from
deformations of a $\phi^4$ potential. The main objective of this work is to
observe the effects of deformation process in the resonant modes as well as in
the coupling between the graviton massive modes and the brane.
