DETERMINING THE THERMO-ELECTRO-MAGNETO-ELASTIC STATE OF FINITE MULTIPLY CONNECTED PIEZOELECTRIC PLATE IN CASE OF CONVECTIVE HEAT TRANSFER ACTING ON ITS CONTOURS
A method is proposed for determination of the thermo-electro-magneto-elastic state of a nite multiply connected piezoelectric plate with holes under the conditions of convective heat transfer acting on the contours of the holes. The solution of the problem is built with using the thermoconductivity and thermo-electro-magneto-elasticity problems’ complex potentials. Using the least squares, the problem is reduced to solving two overdetermined systems of linear algebraic equations for the Laurent series and Faber polynomials series expansions’ unknown coe cients. The in uence of heat transfer characteristics, electromagnetic properties of the material and the geometric characteristics of the plate on the main characteristics of thermo-electro-magneto-elastic state are obtained with the numerical studies.