Static and dynamic electroelastic analysis of tactile polymer coating with integrated fiber optic piezo-electroluminescent sensor

A mathematical electro-mechanical model of functioning of a tactile polymer coating in form of a polymer substrate with a spiral of a fibre-optic piezoelectric luminescent sensor attached to the surface with point force interaction with the analysed object is developed. Algorithm of external single impact location is proposed. For a representative fragment of the "substrate/sensor" system, calculations and diagrams of voltages and electrical potentials in the sensor under static generalized force effect were calculated and constructed. Results of calculation of frequency dependencies of real and imaginary parts of informative transfer coefficients are presented, which establish functional connection between sought values of acting external single-point generalized forces and values of arising voltages on electroluminescent elements of sensor, taking into account Maxwell-Wagner relaxation of electric fields in piezoelectric and electroluminescent elements of sensor under harmonic generalized force action. The modal analysis is represented by the first six natural frequencies and modes of the representative fragment of the "substrate/sensor" system found. For each of the six wave forms, the longitudinal coordinate distributions of the voltage amplitudes for all six sectors of the sensor are calculated; these relationships determine the shapes of the light pulses measured at the output of the sensor light guide.