carpathian_2023_39_3_659_665The main goal of this work is to investigate the following weakly damped nonlinear suspension-bridge equation
![\[u_{tt}(x,y,t)+\Delta ^2 u(x,y,t) +\alpha(t) g(u_t)=0,\]](https://www.carpathian.cunbm.utcluj.ro/wp-content/ql-cache/quicklatex.com-bda7c8673292ee3b49a4eb1d4e579f7a_l3.png "Rendered by QuickLaTeX.com")
and establish explicit and general decay results for the energy of solutions of the problem. Our decay results depend on the functions 
and 
and obtained without any restriction growth assumption on at the origin. The multiplier method, the properties of the convex and the dual of the convex functions, Jensen’s inequality and the generalized Young inequality are used to establish the stability results.
