Bifurcation and chaos of BNNT-reinforced piezoelectric plate under complex load

Abstract

Abstract By employing piezoelectric theory with thermal effects and von Kármán nonlinear plate theory, the constitutive equations of the boron nitride nanotube (BNNT)-reinforced piezoelectric plate under complex load are set up. The material constants are calculated by using the “XY” rectangle model. Referring to the Reissner variational principle, the nonlinear motion governing equations of the structure are deduced and resolved by the fourth-order Runge–Kutta method. The numerical results show that decreasing voltage and temperature and increasing volume ratio can delay the chaotic or multiple periodic motions of BNNT-reinforced piezoelectric plates, thus improving the dynamic stability of the structure.