Vibration and Stability Analysis of Composite Tube Conveying Fluid Flow Equipped with Piezoelectric Ring

In this paper, dynamic behaviour of composite tube equipped with piezoelectric actuator ring and conveying fluid flow is studied. The effects of incompressible Newtonian internal fluid flow with constant velocity are considered. The stiffened composite shell with different boundary conditions is exposed to electro- mechanical loading. The governing equations of motion are obtained based on the classical shell theory and using Hamilton’s principle. Then, these equations are discretized by using differential quadrature (DQ) method in longitudinal direction and harmonic differential quadrature (HDQ) method in circumferential direction. Solving these equations results in eigenvalues and mode shapes of the smart pipe conveying fluid. After comparing results with those existing in the literature, the detailed parametric study is conducted, by concentrating on the effects of fluid flow properties, geometry, material and boundary conditions of composite pipe, temperature, and piezo-actuator ring (size and position) on the vibration behavior of the coupled system, as well as dimensionless critical fluid velocity. It is expected that stability of the coupled system strongly depends on the imposed electric load. The present study can be applied for optimum design of sensors and actuators in active control systems, MEMS and biomechanical applications.

Keywords:

Composite Pipe , Piezoelectric ring , Instability , Critical fluid velocity , Differential quadrature method