Device for the inspection of tubular pieces (3, 72), of the type comprising: - at least one cart outfitted with: - a plurality of elemental transducers (32, 76, 210, 320, 3200) of electroacoustic type, distributed along at least a first direction, - a guide able to cooperate with an exterior surface (12, 74) of a tubular piece (3, 72) being inspected so as to position the cart in a way such that said first direction essentially corresponds to a direction transverse to the tubular piece (3, 72); - a control electronics, connected to the electroacoustic transducers (32, 76, 210, 320, 3200); characterized in that the control electronics comprises: - memory storing one or more timed excitation laws; - one or more controllers (110; 140) designed to apply in succession at least one respective timed excitation law to subsets (78, ETS1,..., ETS7, 551) of mutually adjacent elemental transducers (32, 76, 210, 320, 3200) along the first direction; and in that: - at least certain of the timed excitation laws are designed so that the elemental transducers (32, 76, 210, 320, 3200) of the respective subsets (78, ETS1,..., ETS7, 551) jointly produce incident beams of ultrasonic waves (UB1,..., UB7, UB'1, UB'i, UB'N) propagating along respective directions inclined relative to a direction normal to the exterior surface (12, 74) of the tubular piece (3, 72), at least certain of the timed excitation laws are designed so that the elemental transducers (32, 76, 210, 320, 3200) of the respective subsets (78, ETS1,..., ETS7) produce incident beams of ultrasonic waves (UB1,..., UB7, UB'1, UB'i, UB'N) propagating along respective directions having the same inclination with respect to the direction normal to the exterior surface (12, 74) of the tubular piece (3, 72). - at least one cart outfitted with: - a plurality of elemental transducers (32, 76, 210, 320, 3200) of electroacoustic type, distributed along at least a first direction, - a guide able to cooperate with an exterior surface (12, 74) of a tubular piece (3, 72) being inspected so as to position the cart in a way such that said first direction essentially corresponds to a direction transverse to the tubular piece (3, 72); - a plurality of elemental transducers (32, 76, 210, 320, 3200) of electroacoustic type, distributed along at least a first direction, - a guide able to cooperate with an exterior surface (12, 74) of a tubular piece (3, 72) being inspected so as to position the cart in a way such that said first direction essentially corresponds to a direction transverse to the tubular piece (3, 72); - a control electronics, connected to the electroacoustic transducers (32, 76, 210, 320, 3200); - memory storing one or more timed excitation laws; - one or more controllers (110; 140) designed to apply in succession at least one respective timed excitation law to subsets (78, ETS1,..., ETS7, 551) of mutually adjacent elemental transducers (32, 76, 210, 320, 3200) along the first direction; - at least certain of the timed excitation laws are designed so that the elemental transducers (32, 76, 210, 320, 3200) of the respective subsets (78, ETS1,..., ETS7, 551) jointly produce incident beams of ultrasonic waves (UB1,..., UB7, UB'1, UB'i, UB'N) propagating along respective directions inclined relative to a direction normal to the exterior surface (12, 74) of the tubular piece (3, 72),