Nonlinear Vibration of Piezoelectric Nano Biological Sensor Based on Non-Classical Mathematical Approach
In this study, nonlinear vibration analysis of a parametrically excited piezoelectric nano beam subjected to DC and AC voltages is investigated for biological sensor applications on the basis of the non-local continuum theory. Equations of the motion and boundary conditions of the nano beam are obtained by implementation of Hamilton’s principle and the Galerkin approach. Hamiltonian solution namely Frequency-Amplitude approach is used for natural frequencies and mode shapes as a function of the piezo-layered nano beam characteristic non-local size scale parameter. The size effects on the vibration behavior (frequency and harmonic response) of the beam are studied and it is found that the non-local parameter has significant effects on the free vibration of system.
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