Three-dimensional piezoelasticity solution for piezolaminatedangle-ply cylindrical shells featuring imperfect interfacialbonding

摘要

The work presents an analytical three-dimensional solution for simply supported angle-ply piezoelectric (hybrid)laminated cylindrical shells in cylindrical bending with interlaminar bonding imperfections, in an electro-thermo-mechanical loading environment. The jumps in displacements, electric potential and temperature at the imperfectinterfaces are modeled using linear spring-layer model. The solution includes the case when, besides at innerand outer surfaces, electric potentials are prescribed at layer interfaces also for effective actuation/sensing.The entities for each layer are expanded in Fourier series in circumferential coordinate to satisfy the boundaryconditions at the simply supported ends. The resulting ordinary differential equations in thickness coordinatewith variable coefficients are solved by the modified Frobenius method. Numerical results are presented forhybrid composite and sandwich shells with varying imperfection compliance. The effect of location of imperfectinterface on the response is studied for cross-ply panels while the effect of ply angle on the sensitivity towardsimperfection is studied for angle-ply panels. The effect of weak bonding at actuator/sensor interface on theactuation/sensing authority is investigated. The presented results would also help assessing 2D shell theoriesthat incorporate interlaminar bonding imperfections.