Vibrations of Z-cut resonator-structure by finite element analysis

Y. K. Yong, P. C.Y. Lee, S. S. Chuang

Research output: Contribution to journalConference articlepeer-review

1 Scopus citations


A finite-element program incorporating R. D. Mindlin's first-order plate equations is developed. Calculations are performed for a miniature, third-overtone extensional, Z-cut resonator. Its frequency spectrum as a function of the mounting length and displacement mode shapes is discussed. The resonator motional resistances for different mounting lengths are measured. Normalized strain-energy ratios in the base area and tine area are computed and compared with the normalized motional resistance at various mounting lengths. Good correlations are found: the peaks in strain energy ratio correspond to peaks in motional resistance. Since the motional resistance is inversely proportional to the quality factor, Q, of the resonator, the strain-energy ratio in the base and tines (the supporting structure) could be used as a relative criterion for judging the Q of a certain resonator design.

Original languageEnglish (US)
Pages (from-to)29-37
Number of pages9
JournalProceedings of the Annual IEEE International Frequency Control Symposium
StatePublished - Jun 1988
EventProceedings of the Annual Frequency Control Symposium - Baltimore, MD, USA
Duration: Jun 1 1988Jun 3 1988

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Electrical and Electronic Engineering


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