Free vibration analysis of piezoelectric nano tube conveying fluid supported by a visco-Pasternak foundation

In the concept of sensor and actuator applications, it is very interesting and important to sensing and actuating in small scales that now days has occupying a wide ranges engineering applications. Some of these sensors and actuators must work in the presence of other materials like fluids. In this paper, free vibration analysis of piezoelectric nanotube conveying fluid and resting on the visco-Pasternak foundation is performed. The displacement field is based on first-order shear deformation theory and also the modified couple stress theory is utilized for consideration of nanoscale size effects. The closed-form Navier solution is considered for simply supported piezoelectric fluid conveying nanotube and finally, the governing equations are derived according to the Hamilton principle. The results are compared with other results found in the literature and a good agreement is achieved. The effects of various parameters such as fluid velocity, size effect parameter, geometry of nanotube, and visco-Pasternak foundation on the natural frequency and damping of fluid conveying nanotube are investigated.