| Presentation | 1995/11/20 An Exact Solution of Torsional Resonators Hirofumi KAWASHIMA, Kenji SUNAGA, |
|---|---|
| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | An exact solution of a partial differential equation including elastic compliance constant S'_<56>, with respect to stress function Ψ has been found for torsional modes of vibration of an arbitrary (singly doubly triply) rotated beam with a pair of parallel, free edges. The solution is obtained by relaxing the condition that the edge planes are perpendicular to the main faces of the beam. That is, the edges are off perpendicular by the angle Θ=arctan((-S'_<56>)/(S'_<55>)). The exact solution can reduce the difference of the calculated and measured values for a thickness-to-width ratio where gives the first order temperature coefficient α=0. Also, a comparatively large-inclination of the edge cuts is required tb reduce the unwanted, complicated mode shapes to simple ones. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Torsional Vibration / Piezo-Element / Exact Solution / Quartz / Supersonic Wave / Free Vibration / Frequency Constant / Frequency Temperature Behavior |
| Paper # | US95-65 |
| Date of Issue |
| Conference Information | |
| Committee | US |
|---|---|
| Conference Date | 1995/11/20(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | |
| Vice Chair | |
| Secretary | |
| Assistant | |
| Paper Information | |
| Registration To | Ultrasonics (US) |
|---|---|
| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | An Exact Solution of Torsional Resonators |
| Sub Title (in English) | |
| Keyword(1) | Torsional Vibration |
| Keyword(2) | Piezo-Element |
| Keyword(3) | Exact Solution |
| Keyword(4) | Quartz |
| Keyword(5) | Supersonic Wave |
| Keyword(6) | Free Vibration |
| Keyword(7) | Frequency Constant |
| Keyword(8) | Frequency Temperature Behavior |
| 1st Author's Name | Hirofumi KAWASHIMA |
| 1st Author's Affiliation | Seiko Instruments Inc.() |
| 2nd Author's Name | Kenji SUNAGA |
| 2nd Author's Affiliation | Seiko Instruments Inc. |
| Date | 1995/11/20 |
| Paper # | US95-65 |
| Volume (vol) | vol.95 |
| Number (no) | 376 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |