Stability Analyses and Dynamic Response of Fluid Conveyed Thin-Walled Piezoelectric Cylinder Under Harmonic Excitation

In this paper, the vibration and instability analyses of a thin-walled smart cylinder subjected to the combined electro-thermo-mechanical loadings as well as internal fluid flow are investigated based on piezoelasticity theory and nonlinear Donnell’s shell theory. The cylinder material is considered to be made of piezo-ceramics as PZT4 to have a better resistance to the fluids. The fluid flow is assumed to be incompressible, inviscid, irrotational and isentropic where its mathematically modeling is performed based on a potential scalar function. The higher order governing equations of motion are directly obtained by minimizing the energy of the system, using Lagrange equation of motions and modal expansion analysis. The obtained governing equations are then solved via the state space problem as well as fourth order numerical integration to obtain the nonlinear electro thermodynamical response of the system. In the numerical results section, the effects of various parameters such as mean flow velocity, aspect ratio, temperature change and excitation frequency on the natural and damping frequencies, electro-thermo-dynamical response and energy spectrum of the system is studied in detail.
It is hoped that the results of this study play an important role to design new instability alert sensors for fluid conveying pipes.