flexoelectric cantilever beam mass sensors: a theoretical investigation

This research explores a novel technique for precise mass sensing, involving the detection of an object’s position and mass when affixed to a flexoelectric cantilever euler-bernoulli microbeam. third-order relation of the curvature is considered to obtain the nonlinear governing equations and the related boundary conditions, from hamilton’s principle on the basis of size-dependent piezoelectricity theory. the galerkin method is employed to discredit the partial differential equation of motion into ordinary differential equations. the lindstedt-poincare technique is employed to derive a concise mathematical expression that describes the frequency alteration resulting from the presence of a concentrated mass on the microbeam’s exterior. by applying direct current voltage, the natural frequency shift of the flexoelectric cantilever euler-bernoulli microbeam under an added mass is examined. finally, after validation of the results, the effects of size-dependent parameters, input voltage, and flexoelectric coefficient on static deformation and frequency behavior are shown. it can be found that the maximum sensitivity for l/h = 0.0 is at v0 = 2600v, by adjusting the material length scale factor relative to the beam thickness ratio, the sensitivity is observed to diminish. also, by increasing the position of the added mass, the sensitivity is decreased and, where the flexoelectric effect is small, the increment in the position of added mass decreases the first and second frequency shift.