A coating device arrangement 1 for a 3D printer 100 is described, comprising a coating device 3 having a carrier structure 21a to 21c and a container 17 fixed to the carrier structure, defining an inner cavity for receiving particulate construction material, which leads to an opening for outputting the particulate construction material, a vibration device 23 configured to vibrate particulate construction material received in the container and thereby to influence the discharge of construction material from the opening, and a stroking member 15a attached to the coating device, configured to stroke particulate construction material output from the opening to thereby level and/or compress the output particulate material, and/or a closing device 31 configured to selectively close the opening and comprising a closing member 31a attached to the coating device 3, wherein the stroking member 15a and/or the closing member 31a are fixed to the carrier structure to be vibration-decoupled from the vibration generated by means of the vibration device in the container 17.