Ok, so the guibo utilized in the Rotax C-Box application is an isolator. Isolates tortional loading and unloading of the engine input, and the propeller reflection, during operation.
Assume a simple two-element model, fairly realistic when discussing a very low connecting stiffness. When a forcing frequency nears or matches the natural frequency of the system (ratio near 1:1), it will resonate; torsional oscillation will amplify. When forcing frequency is not close to the natural frequency (forcing/natural ballpark greater than 1.2 or less than 0.8), the system can be considered as isolated from the forcing frequency.
Put another way, isolated is the opposite of resonant. It is a result, not the reason.
Here's the important part. How does a designer adjust the ratio to get the system into isolation? Using the 582 from your example, combustion events provide powerful forcing frequencies ranging from 66 hz (2000 RPM idle) to 226 hz (6800 RPM). Only real choice is to change the other side of the ratio, the natural frequency of the system. Push natural frequency down below 50 hz or so (i.e. less than 0.8 x 66), and the
result is isolation. The
reason is a low connecting stiffness.
I have no idea what you mean by "propeller reflection". The propeller is basically a very large inertia as compared to any other inertia in the typical system. As a large inertia, it oscillates with less angular displacement as compared to the smaller ones. Think of it as the relatively immovable object around which the other inertias oscillate, and you're roughly on the right track. For a better understanding,
quantify the relative oscillations by plugging the stiffness and inertia values into a Holzer code and look at the resulting mode shape.
I've attached a simple sketch of the first and second mode oscillation of a three inertia model, and a more formal mode shape plot from denHartog, first and second modes for a seven inertia model, in which the angular displacements of the inertias have been quantified. BTW, seven inertias means it will have four more natural frequencies and modes of vibration not plotted, each at higher and higher frequencies. Natural frequencies = inertias less one.