"斜筒式络筒机" can be translated as "inclined-cylinder type winding machine" or "oblique-drum winding machine".
"Inclined-cylinder" or "oblique-drum" accurately describes the inclined or slanted cylinder/drum feature of this type of winding machine.
"Winding machine" is the standard term for a machine used in textile manufacturing to wind yarn onto bobbins, cones, or other packages.
Choose the translation that best fits the context or technical documentation you are working with.