  We investigate the initial-value problem for the semilinear plate equation
containing localized strong damping, localized weak damping and nonlocal
nonlinearity. We prove that if nonnegative damping coefficients are strictly
positive almost everywhere in the exterior of some ball and the sum of these
coefficients is positive a.e. in $%
  \mathbb{R}
  ^{n}$, then the semigroup generated by the considered problem possesses a
global attractor in $H^{2}\left(
  \mathbb{R}
  ^{n}\right) \times L^{2}\left(
  \mathbb{R}
  ^{n}\right) $. We also establish boundedness of this attractor in $
H^{3}\left(
  \mathbb{R}
  ^{n}\right) \times H^{2}\left(
  \mathbb{R} ^{n}\right) $.
