The nonstationary thermoelectric elasticity problem for a long piezoceramic cylinder

А new closed-loop solution for the coupled nonstationary problem of thermoelectric elasticity is designed a long piezoceramic radially polarized cylinder. The case load acting on its inner cylindrical surface considered as function temperature change at given law convection heat exchange outer face wall (boundary conditions conductivity 1st and 3rd types). Electrodynamic cylinder surfaces are connected to measuring device with high input resistance (electric idling). We investigate where rate changes does not affect inertial characteristics elastic system. It makes it possible expand initial linear computational relations equilibrium, electrostatics equations respect radial component displacement vector, electric potential well field changes. Hyperbolic LS-theory thermal used in computations. solved generalized method biorthogonal finite integral transformation based multicomponent ratio eigen functions two homogeneous boundary value problems. structural algorithm this approach allows identifying conjugated operator, without which impossible solve non-self-conjugated problems mathematical physics. resulted make determine stress-strain state, fields induced element under an arbitrary external effect. By connecting electroelastic system tool, we can find voltage. Firstly, analysis numerical results changes, necessary use hyperbolic theory conductivity. Secondly, determining physical material when changing body volume leads redistribution field. developed be design non-resonant piezoelectric sensors.