Nonlinear Vibration of Piezoelectric Nano Biological Sensor Based on Non-Classical Mathematical Approach

  • Sayyid H. Hashemi Kachapi Department of Mechanical Engineering, Babol Noshirvani University of Technology
  • S.GH. Hashemi Kachapi
Keywords: Piezoelectric Nano biological sensor, Nonlocal continuum theory, Size scale parameter, vibration response, Hamiltonian, Frequency-Amplitude 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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How to Cite
Hashemi Kachapi, S. H., & Hashemi Kachapi, S. (2019). Nonlinear Vibration of Piezoelectric Nano Biological Sensor Based on Non-Classical Mathematical Approach. MathLAB Journal, 2(1), 35-55. Retrieved from
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