Can gravitational waves be visualized in the elastic rubber sheet model of gravity? To visualize the space curvature related to gravity,
there is a model or analogy using an elastic sheet and a weight. A rubber sheet is spanned like a very soft trampoline, and a heavy ball on it creates curvature in the sheet.
In this model, ist there a way to represent gravitational waves?
Dropping a ball on a rubber sheet creates a change in the shape of the sheet. 
This change does not affect the whole sheet instantly, it propagates from the impact away. Does the propagation have the form of a surface wave? Is that wave somehow analogous to a gravitational wave?
 A: The problem with the rubber sheet is that it's a Riemannian manifold while spacetime is a Lorentzian manifold, and also that it has a preferred coordinate system. Both of these limit its usefulness for anything other than popular science applications. In addition to this a gravitational wave is a tensor wave while a wave in a rubber sheet is not.
As a very basic guide to the general public elastic waves in a rubber sheet could be used to describe the general idea of a gravitational wave, but historically the rubber sheet model has caused much misunderstanding and I'm not sure I would encourage its use.
A: 
In this model, ist there a way to represent gravitational waves?

Yes! See https://youtu.be/dw7U3BYMs4U
As John Rennie already commented, I myself am unsure if the rubber sheet analogy contributes more to my understanding or confusion of the topic. However, in my opinion the video shows quite nicely  how the acceleration and not linear motion of bodies is relevant for the creation of gravitational waves.
