Nonlinear fluid-induced vibration and instability of an embedded piezoelectric polymeric microtube using nonlocal elasticity theory

Abstract

Nonlinear vibration and instability of a smart piezoelectric microtube made of poly-vinylidene fluoride embedded in an elastic medium is investigated. The tube conveys an isentropic, incompressible fluid flowing in a fully developed irrotational manner. This smart microtube is modeled as a thin shell based on the nonlinear Donnell's shell theory. Effects of mean flow velocity, fluid viscosity, elastic medium modulus, temperature change, imposed electric potential, small scale and aspect ratio on the vibration behavior of the microtube are analyzed. The results indicated that increasing mean flow velocity considerably changes the nonlinearity effects on instability of embedded piezoelectric polymeric microtube so that small scale and temperature change effects become negligible. It has also been found that stability of the system is strongly dependent on the imposed electric potential. The system studied in this article can be used as sensors and actuators in sensitive applications.