ON THE USE OF 1-D FINITE ELEMENTS FOR THE TEMPERATURE BEHAVIOR OF A CONTOURED AND PARTIALLY PLATED SC-CUT RESONATOR.

Research output: Contribution to journalConference articlepeer-review

3 Scopus citations

Abstract

A two-dimensional, Lagrangean variational equation of motion for the incremental displacements superposed on homogeneous thermal strains in an electrode plated crystal resonator was derived. A one-dimensional form of the equation was considered and solved using 1-D, cubic finite elements. The program was applied to the study of the f-T behavior of a contoured and partially plated SC-cut quartz strip. The variable thickness in a contoured strip was interpolated using the same cubic finite-element shape functions. Numerical convergence of the fundamental thickness shear frequency and its f-T curve was examined in meshes of increasing fineness. A preliminary study was performed of the thickness shear mode and its f-T curve with respect to the electrode thickness and contour, including both the plano-convex and plano-Gaussian contoured surfaces. The plano-Gaussian strip has more parameters than the plano-convex strip that can be used to control f-T behavior and energy trapping.

Original languageEnglish (US)
Pages (from-to)353-358
Number of pages6
JournalUltrasonics Symposium Proceedings
DOIs
StatePublished - 1987

All Science Journal Classification (ASJC) codes

  • Engineering(all)

Fingerprint

Dive into the research topics of 'ON THE USE OF 1-D FINITE ELEMENTS FOR THE TEMPERATURE BEHAVIOR OF A CONTOURED AND PARTIALLY PLATED SC-CUT RESONATOR.'. Together they form a unique fingerprint.

Cite this