50th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference 2009
DOI: 10.2514/6.2009-2469
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Coupled Out of Plane Vibrations of Spiral Beams

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Cited by 2 publications
(2 citation statements)
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“…The obtained high Q-factors (117–254) ensure high frequency selectivity for the targeted hearing sensor. To the analytical model of Karami et al [ 23 ], we added extra terms to represent the seismic mass at the end of the spiral shape beam. The calculated natural resonance frequencies showed excellent agreement with the experimental values for coating free cantilevers (RMS = 5.8 Hz).…”
Section: Discussionmentioning
confidence: 99%
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“…The obtained high Q-factors (117–254) ensure high frequency selectivity for the targeted hearing sensor. To the analytical model of Karami et al [ 23 ], we added extra terms to represent the seismic mass at the end of the spiral shape beam. The calculated natural resonance frequencies showed excellent agreement with the experimental values for coating free cantilevers (RMS = 5.8 Hz).…”
Section: Discussionmentioning
confidence: 99%
“…The model was based on the one described by Karami et al [ 23 ], with a few modifications to include the effects of the tip mass attached to the spiral cantilever. Therefore, the kinetic energy T and the potential energy V for the system are where w ( x,t ) is the deflection, β ( x,t ) is the twist angle of the cantilever, R ( x ) is the radius of the spiral, A is the area of the cantilever, E is the composite Young modulus, I is the second moment of inertia, J is the torsion constant, G is the shear modulus (modulus of rigidity), I tx and I tz are the mass moment of inertia of the seismic mass with respect to x and z axis.…”
Section: Methodsmentioning
confidence: 99%