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The main concern with using a cable chain for the Y-axis is how to make a connection which is both capable of sustaining high currents, can be crimped, and is small to fit into a 3d-printed enclosure. For this, a suitable option would be to use unisolated cable-shoes. These are easy to source and easy to use with a 3d printed mounting base, which functions as a junction box. On the picture below a realization of this idea can be seen:
With the cover, mounted on the junction box and on the junction box mounted onto the aluminium profile, it looks like the following:
The whole combination consists of the following parts:
At the picture the following are shown: