Forming device for forming a flat semi-finished product into a profiled semi-finished fibre reinforced composite, comprising: • a lower die part having a first forming surface and an upper die part having a second forming surface facing the first forming surface, which form a pultrusion channel for advancing a semi-finished product in a feed direction, wherein the contours of the cross-sections of the forming surfaces (11a, 12a) that extend transversely to the feed direction of the semi-finished product change progressively from a contour located in the inlet region of the forming device to a contour located in the outlet region of the forming device, so that the semi-finished product which has been moved through the forming device can be converted from a first cross-section profile to a target cross section profile in the outlet region, • a heating device arranged in the infeed region located behind the inlet region when viewed in the feed direction characterized in that the heating device in the inlet region is a vibrating element with a bearing part that can be caused to vibrate, by which an area of at least one forming surface (11a, 12a) can be caused to vibrate in order to heat the semi-finished product by means of frictional heat, and that the forming device comprises: • a control and regulating device having an activation apparatus for adjusting the heating device and which is functionally connected to the heating device arranged in the infeed region and to a temperature sensor which is arranged in the infeed region for receiving temperature values, and in which a function module having a control function for controlling the temperature in the infeed region is implemented, which calculates activation signals for transmission to the heating device on the basis of the temperature values and a setpoint temperature in the inlet region, and transmits them to the heating device to adjust the temperature in the infeed region. • a lower die part having a first forming surface and an upper die part having a second forming surface facing the first forming surface, which form a pultrusion channel for advancing a semi-finished product in a feed direction, wherein the contours of the cross-sections of the forming surfaces (11a, 12a) that extend transversely to the feed direction of the semi-finished product change progressively from a contour located in the inlet region of the forming device to a contour located in the outlet region of the forming device, so that the semi-finished product which has been moved through the forming device can be converted from a first cross-section profile to a target cross section profile in the outlet region, • a heating device arranged in the infeed region located behind the inlet region when viewed in the feed direction • a control and regulating device having an activation apparatus for adjusting the heating device and which is functionally connected to the heating device arranged in the infeed region and to a temperature sensor which is arranged in the infeed region for receiving temperature values, and in which a function module having a control function for controlling the temperature in the infeed region is implemented, which calculates activation signals for transmission to the heating device on the basis of the temperature values and a setpoint temperature in the inlet region, and transmits them to the heating device to adjust the temperature in the infeed region.