In this paper we study the long-time dynamics of the perturbed system of suspension bridge equations m(c)u(tt) - beta u(xx) + kappa(u - w)(+) + f(1)(u, w) + (-partial derivative(xx))(gamma) u(t) = 0, m(b)w(tt) + mu w(xxxx) + (p - epsilon parallel to w(x)parallel to(2))w(xx) - kappa(u - w)(+) + f(2)(u, w) + (-partial derivative(xx))(gamma) w(t) = 0, where epsilon is an element of(0,1] is a perturbed parameter and gamma is an element of(0,1) is said to be a fractional exponent. Under quite general assumptions on source terms and based on semigroup theory, we establish the global well-posedness and the existence of global attractors with finite fractal dimension. We analysis the upper semicontinuity of global attractors on the perturbed parameter epsilon in some sense. Moreover, we demonstrate an explicit control over semidistances between trajectories in the weak energy phase space in terms of epsilon. Finally, we prove that the family of global attractors is upper semicontinuous with respect to the fractional exponent gamma is an element of(0,1/2).