Nonclassical and Nonlinear Stability Analysis of Viscous Fluidic Piezoelectric Biomedical Nanosensor

In this paper, nonlinear vibration and stability analysis of viscous fluidic piezoelectric biomedical nanosensor (VFBNS‎) based on cylindrical nanoshell is investigated using the electro-elastic Gurtin–Murdoch surface/interface (S/I) theory. This piezoelectric nanoresonator is simultaneously subjected to visco-pasternak medium, electrostatic and harmonic excitations. The Hamilton’s principle, the assumed mode method combined with Euler – Lagrange and also Complex averaging method combined with arc-length method are used to achieve the governing equations, boundary conditions and also the effect of different material, structural and excitations parameters on dimensionless natural frequency (DNF) (undamped and damped , critical fluid velocity, nonlinear vibration and stability analysis of piezoelectric biomedical nanosensor. It is shown that the fluid velocity has major unpredictable effects on parametric studies of the system and one should precisely consider their effects. Also, it is concluded that ignoring the surface /interface effects leads to inaccurate results in vibrational response of the VFBNS‎. By changing the surface/interface parameters, the system stiffness is changed leading to nonlinear behavior of the system, which can be more or less pronounced compared to the case without the S/I effects accounted for. The obtained results of this study are useful for designing of nano/micro electro mechanical system and other nano-/micro-smart structures.