Apparatus and method for making shaped flat elements

An apparatus (10) for making shaped flat elements (11), the apparatus comprising at least one laser head (12) with a fixed focal length, mobile along at least two work axes (X, Y), which are defined by respective guide bars (13, 14) equipped with respective first movement devices (15a, 15b, 16a, 16b), and configured to work said flat elements (11), wherein the apparatus further comprises at least one second movement device (17) configured to support and allow an advance of said flat elements (11) in a given direction (A), and a control unit (21) connected at least to said first and second movement devices (15a, 15b, 16a, 16b, 17), to first sensors (18, 19) positioned on said guide bars (13, 14) configured to monitor at least deformations of said guide bars (13, 14), and to second sensors (20) configured to monitor at least a position of said flat elements (11) in said direction (A), wherein said control unit (21) is configured to adjust a functioning of said first and second movement devices (15a, 15b, 16a, 16b, 17) at least according to data detected by said first and second sensors (18, 19, 20).