5 April 2017 Parametric studies for semi-analytical investigation of plate-mounted resonators
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Abstract
Damping in miniature resonators is a consequence of many factors, one of which is due to interaction with the substrate to which the resonator is mounted. It is common practice to create a model of the resonator that includes a small segment of the substrate plate with a finite element (FE) software in conjunction with absorbing boundary elements. As an alternative to implementing absorbing boundary elements, semi-analytical methods have been developed in which such elements are replaced by analytical expressions for Lamb waves. This approach requires the specification of a harmonic load and the determination of the subsequent harmonic response at a point on the resonator. The modal frequency and damping can then be estimated from the computation of the frequency response function on a frequency grid. In this paper, the approach is demonstrated for single and double cantilever configurations on a plate in the case of plain strain. The influence of the number of selected Lamb modes, mesh density and the size of the modeled plate segment is investigated through parametric studies. Moreover, it is shown that the semi-analytical results are in good agreement with those from conventional transient finite element simulations.
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Christoph Schaal, Christoph Schaal, Robert M'Closkey, Robert M'Closkey, Ajit Mal, Ajit Mal, } "Parametric studies for semi-analytical investigation of plate-mounted resonators", Proc. SPIE 10170, Health Monitoring of Structural and Biological Systems 2017, 101700O (5 April 2017); doi: 10.1117/12.2262002; https://doi.org/10.1117/12.2262002
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