Depowdering device for depowdering at least one three-dimensional object of unconsolidated residual construction material formed by the layerwise application and selective solidification of a powdery construction material inside a potshaped construction container during a construction process, wherein the construction container has a construction container side wall, a container opening and a construction container base which can be moved within a construction container side wall, which adopts a specific position inside the construction container side wall depending on the progress of construction, wherein the depowdering device comprises at least the following: a) a receiving device configured and set up to receive the construction container, b) a pivoting device cooperating with the receiving device in such a way that the receiving device can be pivoted about at least one axis by the pivoting device, c) a tensioning device with at least one tensioning element (17, 31) for tensioning the construction container on or in the receiving device, wherein d) the tensioning device is configured and set up, in order, in a tensioned position of the construction container, to tension, in particular exclusively, the construction container base on the at least one tensioning element (17, 31) by physical contact of the at least one tensioning element (17, 31) with the construction container base, and in order, in a untensioned position, to release the construction container base from the at least one tensioning element (17, 31), characterized in that e) at least one vibration generator connected to the at least one tensioning element (17, 31) of the tensioning device by direct or indirect physical contact is provided in such a way that vibrations generated by the vibration generator and/or knocking generated by the vibration generator are transmitted to the at least one tensioning element (17, 31) by means of structure-borne sound conduction. a) a receiving device configured and set up to receive the construction container, b) a pivoting device cooperating with the receiving device in such a way that the receiving device can be pivoted about at least one axis by the pivoting device, c) a tensioning device with at least one tensioning element (17, 31) for tensioning the construction container on or in the receiving device, wherein d) the tensioning device is configured and set up, in order, in a tensioned position of the construction container, to tension, in particular exclusively, the construction container base on the at least one tensioning element (17, 31) by physical contact of the at least one tensioning element (17, 31) with the construction container base, and in order, in a untensioned position, to release the construction container base from the at least one tensioning element (17, 31), characterized in that e) at least one vibration generator connected to the at least one tensioning element (17, 31) of the tensioning device by direct or indirect physical contact is provided in such a way that vibrations generated by the vibration generator and/or knocking generated by the vibration generator are transmitted to the at least one tensioning element (17, 31) by means of structure-borne sound conduction.