Flexoelectric Cantilever Beam Mass Sensors: A Theoretical Investigation

Document Type : Research Article

Author

Department of Mechanical Engineering, Abadan Branch, Islamic Azad University, Abadan,

Abstract

A method to determine accurately the position and mass detection of an entity attached to the surface of a flexoelectric cantilever Euler-Bernoulli micro beam (FCMB) as a mass sensor is investigated. Third-order relation of the curvature is considered to obtain the nonlinear governing equations and the related boundary conditions, from the Hamilton’s principle on the basis of size-dependent piezoelectricity theory. The Galerkin method is employed to discredited the partial differential equation of motion into ordinary differential equations. Lindstedt-Poincare method is used to drive a closed form relation of the frequency shift due to a lumped mass on the microbeam surface. By applying DC voltage, the natural frequency shift of the FCMB under an added mass is examined. Finally, after validation of the results, the effects of size-dependency, applied voltage and flexoelectric coefficient on the static deflection and frequency shifts is illustrated. It can be found that the maximum sensitivity for l/h = 0.0 is at V0 = 2600v, and increasing the material length scale factor with respect to the beam thick- ness ratio, the sensitivity is decrease. Also, by increasing the position of the added mass, the sensitivity is decrease and, in the small flexoelectric region, the increment in the position of added mass decreases the first and second frequency shift.

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AUT Journal of Mechanical Engineering
Volume 9, Issue 1
In Progress
January 2025
Pages 4-4

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