Mathematical model of the system for early determination of the accidents in complex technological manufactures based on autonomous piezotransponders

For the early detection of emergencies and accidents on potentially hazardous or high-risk objects in complex technological processes, the changes in technical parameters of the equipment, such as vibration changes, can be used. To do this, we propose to use piezoceramic transducers. However, to build a complete system of complex technological process, it is necessary to use a large number of such sensors, which should work in a single identification system. To do this, the paper proposes a mathematical model of the system of preliminary determination of the accidents in complex technological industries, which is built on the principle of fixing the vibration changes of the equipment that precedes any accident. The model obtained takes into account: the number of control points at which vibration parameters are determined, the number of piezotransponders, the triggering threshold for each transponder, the energy previously accumulated in the system, the matrix of values of the possible placement of piezotransponders at control points, the time of transmission of the alarm, vectortape of fixation of transmission of an alarm signal identification, the time of transmission of an alarm signal, parameters of vibration at control points. In order to check the adequacy of the mathematical model obtained, several experiments have been performed where the rotational motion of the working shafts is used as the source of vibration. Console piezoelectric transdurers based on bymorph piezoelectric elements are used as piezotransponders. When performing experiments to change the vibrational effects, the speed of rotation of the working shafts and the mass of the fixed eccentrics varies. The results of the experiments have shown that the energy accumulated due to vibration in the piezotransponder is sufficient for the transmission of emergency information, with the difference between the values of theoretical calculations and the experimentally obtained data not exceeding 23 %. The resulting mathematical model can be used by developers to build effective anti-crash systems on complex technological productions of potentially hazardous or high-risk objects