Bifurcation and Chaos of Piezoelectric Shell Reinforced with BNNTs Under Electro-Thermo-Mechanical Loadings

By employing the nonlinear von Karman shell theory and the theory of piezoelectricity including thermal effects, the constitutive relations of the BNNT-reinforced piezoelectric shell are built. Recurring to the XY' rectangle model, the material constants are reckoned. Then, the nonlinear governing equations of the structure are derived through the Reissner variational principle and solved by the fourth-order Runge-Kutta method. In numerical calculations, the effects of temperature, voltage, volume fraction, etc., on the bifurcation and chaos of piezoelectric shell reinforced with BNNTs are discussed in detail.