A method for managing resources for monitoring an elongated structure capable of acting as a resilient waveguide, the structure being instrumented with a plurality of transducers capable of acquiring signals measuring characteristic quantities of elastic waves propagating through the structure, with each transducer being coupled to an electronic device installed along the structure, with each electronic device at least comprising means for processing the measurement signals received from at least one transducer and a processor having code instructions for implementing steps of: - initialise the electronic device in nominal mode, with said nominal mode allowing an inspection of the elongated structure to be initiated by means of a local analysis of elastic waves generated when a mobile device passes in the vicinity of a transducer to which the electronic device is coupled, or initialising the electronic device in detection mode, with said detection mode allowing an emission of elastic waves in the elongated structure to be initiated by a transducer to which the electronic device is coupled and allowing an inspection of the elongated structure to be carried out by means of a local analysis of signals originating from the emitted elastic waves; - determining if an anomaly has been detected during the inspection in nominal mode and, if so, either maintaining the nominal mode or switching the electronic device to detection mode in order for an emission of elastic waves in the elongated structure to be initiated by a transducer to which the electronic device is coupled and for an inspection of the elongated structure to be carried out by means of a local analysis of signals originating from the emitted elastic waves; - determining if a fault has been detected while inspecting in detection mode and, if so, either maintaining the detection mode or switching the electronic device to survey mode, with said survey mode allowing said electronic device to transmit data from signals originating from the elastic waves emitted in said structure during the inspection in detection mode to a remote server to generate a more in-depth analysis. - initialise the electronic device in nominal mode, with said nominal mode allowing an inspection of the elongated structure to be initiated by means of a local analysis of elastic waves generated when a mobile device passes in the vicinity of a transducer to which the electronic device is coupled, or initialising the electronic device in detection mode, with said detection mode allowing an emission of elastic waves in the elongated structure to be initiated by a transducer to which the electronic device is coupled and allowing an inspection of the elongated structure to be carried out by means of a local analysis of signals originating from the emitted elastic waves; - determining if an anomaly has been detected during the inspection in nominal mode and, if so, either maintaining the nominal mode or switching the electronic device to detection mode in order for an emission of elastic waves in the elongated structure to be initiated by a transducer to which the electronic device is coupled and for an inspection of the elongated structure to be carried out by means of a local analysis of signals originating from the emitted elastic waves; - determining if a fault has been detected while inspecting in detection mode and, if so, either maintaining the detection mode or switching the electronic device to survey mode, with said survey mode allowing said electronic device to transmit data from signals originating from the elastic waves emitted in said structure during the inspection in detection mode to a remote server to generate a more in-depth analysis.