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Mechanical characterization of millimetric agarose spheres using a resonant technique. (English) Zbl 1454.74037

Summary: This paper presents a methodology for the mechanical characterization of agarose millimetric spheres using resonant principles. Detection of the modes of vibration was conducted using a low-cost experimental setup based on an electret microphone adapted with a thin latex elastic membrane for the sensing stage and a piezoelectric actuator driven by a conventional transformer for the excitation stage. The identification of vibration modes is supported through an ANSYS Finite Element model of the experimental setup. Experimental and numerical results demonstrate that two modes of vibration, known as Quadrupole and Octupole, appear in the amplitude spectrum and can be used to obtain stiffness values for the samples. Following this approach, Young’s modulus of \(209 \pm 19.80, 338 \pm 35.30\) and \(646 \pm 109\) kPa for 2%, 3% and 4% agarose millimetric spheres were calculated.

MSC:

74E30 Composite and mixture properties
74Q15 Effective constitutive equations in solid mechanics
74H45 Vibrations in dynamical problems in solid mechanics
74S05 Finite element methods applied to problems in solid mechanics
74-05 Experimental work for problems pertaining to mechanics of deformable solids

Software:

ANSYS
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References:

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