EXACT SOLUTION FOR LAMINATED CYLINDRICAL SHELLSWITH PIEZOELECTRIC SHEAR ACTUATORS

The exact solution of piezoelastic laminated cylindrical shells embedded with shear piezoelect ric actuators was discussed1Under the local surface coordinates, each of the response quantities of every layer of the shellwas expanded in a double Fourier series1 Eight first-order ordinary homogeneous differential equations with variablecoefficient s were generated using state-space approach. The solutions of displacement, st ress and elect ric potentialof the cylindrical shell were got using the Frobenius method1 The numerical result s show the different effect s of thethickness ratios on the response quantities for mechanical and elect ric loads : (1) the axial displacement exhibit s azigzag variation for various thickness shells, but approaches linear dist ribution through the entire shell thickness forthin shells under mechanical loading ; ( 2 ) t ransverse st resses σ_z and τ_θz show st rong nonlinear under elect ricpotentials, but are piecewise linear for thin shells under mechanical loading ; (3) the elect ric potential is piecewiselinear for both elect ric and mechanical loads1 The result s could help to verify other laminate theories for multilayercylindrical shells with shear actuators.