title: Frequency-temperature behavior of spurious vibrations of rectangular AT-cut quartz plates.
abstract: We evaluate the frequency-temperature behavior of spurious modes in a rectangular AT-cut quartz plate resonator based on three-dimensional linear equations. The elastic constants and three geometrical dimensions of the resonator are defined in terms of cubic polynomials of a temperature change. Assuming that the resonator holds its rectangular plate shape irrespective of temperature, we can determine the relationship between frequency and the dimensions of the resonator for a given temperature using the previous technique. We compare the calculated results with our own experimental data, and show that agreement between the calculated and observed data is excellent.
authors.affiliation: Dept. of Electr. Eng., Graduate Sch. of Tokyo Metropolitan Univ., Tokyo.
authors.forename: H
authors.initials: H
authors.lastname: Sekimoto
authors.forename: S
authors.initials: S
authors.lastname: Goka
authors.forename: A
authors.initials: A
authors.lastname: Ishizaki
authors.forename: Y
authors.initials: Y
authors.lastname: Watanabe