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Frequency tunable comb resonators have been successfully designed and demonstrated based on a closed-form approach of a curved comb finger contour.
The closed-form approach can be shown to be in excellent agreement with the exact results which are generated in a numerical manner.
While only flexural deformations were considered in the original paper, this paper presents a closed-form approach that has been modified to include shear deformations.
In this paper, a closed-form approach is introduced to determine, exactly, both the torsional constant and all shear flows for multi-cell cross-sections under torsion; no simultaneous equations are required and there is no need to distribute shear flows back and forth between cells.
The same authors describe a pilot-based approach for frequency domain synchronization in [4], proposing a closed-form approach to STO and CFO estimation.
This closed-form approach can reconstruct accurate 3D shape on a clean synthetic dataset; however, with the amount of noise added, their performance drops very fast and approaches that of PPCA.
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Furthermore, due to their very simple nature, the introduced closed-form approaches can be recommended for direct use in an industrial environment for any practical engineering purpose.
This closed-form design approach could be extended to microsystems based on electrostatic comb-shape structures such as microaccelerometers, microgyroscopes, and micromechanical filters.
Accompanying detailed finite element computations show that the closed-form analytical approach is in very satisfying agreement with the numerical results and as such can be used with confidence in day-to-day engineering practice.
In this subsection, we demonstrate the effects of partial interference on the stability region of the general M-link slotted ALOHA systems by presenting results based on both simulation as well as the FRASA closed-form approximation approach.
The purpose of this paper is to provide an efficient and accurate closed-form weight function approach to the calculation of crack surface displacements for a radial crack emanating from a semi-circular notch in a semi-infinite plate.
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