中文摘要：

运用非自治无穷维动力系统中的拉回吸引子理论,并结合拉回D-条件（C）和能量估计的方法,研究了具有强阻尼的非自治基尔霍夫型吊桥方程解的渐近性,获得了当非线性项f和外力项g均依赖于时间t,且外力项平移有界时,方程在空间H02（Ω）×L2（Ω）上的拉回吸引子的存在性.文中增加了强阻尼项Δ2ut,推广和发展了2015年雍鸿雄等人给出的一个结论.

英文摘要：

In this paper,based on the theorem of pullback attractors for non-autonomous infinite dimensional dynamical systems,combining with the pullback D-condition（C）and energy estimate,we mainly study the existence of pullback attractors of the non-autonomous Kirchhoff-type suspension bridge equations with strong damping.In the end,we get an essential theorem in H02（Ω）×L2（Ω）with the nonlinearity{f（u,t）}and a forcing termg（x,t）,where f（u,t）is translation bounded.In comparison,we add the strong damping term Δ2ut.All these extend and develop the results reported by Yong et al.in 2015.