Semi-analytical modeling of anchor loss in plate-mounted resonators

Christoph Schaal; Robert M'Closkey; Ajit Mal

doi:10.1016/j.ultras.2017.09.009

Semi-analytical modeling of anchor loss in plate-mounted resonators

Ultrasonics. 2018 Jan:82:304-312. doi: 10.1016/j.ultras.2017.09.009. Epub 2017 Sep 14.

Authors

Christoph Schaal¹, Robert M'Closkey², Ajit Mal³

Affiliations

¹ Department of Mechanical Engineering, California State University, Northridge, CA, USA; Mechanical and Aerospace Engineering Department, University of California, Los Angeles, CA, USA. Electronic address: christoph.schaal@csun.edu.
² Mechanical and Aerospace Engineering Department, University of California, Los Angeles, CA, USA. Electronic address: rtm@seas.ucla.edu.
³ Mechanical and Aerospace Engineering Department, University of California, Los Angeles, CA, USA. Electronic address: ajit@ucla.edu.

PMID: 28941397
DOI: 10.1016/j.ultras.2017.09.009

Abstract

A semi-analytical technique for estimating the energy loss in a resonator mounted to an infinite plate substrate is proposed in this paper. In a plate, only Lamb waves have to be considered, leading to a simplified characterization of the energy carried away from a vibrating source on the plate surface. Instead of employing absorbing elements at the boundaries of the plate-resonator finite element model, it is shown how the semi-analytical approach of stitching together analytical Lamb wave expressions to the finite element model can be utilized. The approach is demonstrated for single and double cantilever configurations on a plate. The results have excellent agreement with those of conventional transient finite element simulations.

Keywords: Anchor loss; FEM; Lamb waves; Micro-resonator; Semi-analytical.

Publication types

Research Support, Non-U.S. Gov't