Vibration Modes and Resonant Frequencies of a New Tuning Fork  with 4 Vibrating Arms

Atoji, Nobuhisa; Murakami, Masayoshi; Sugawara, Sumio; Kudo, Subaru

doi:10.1143/jjap.35.5034

Cited by 3 publications

(2 citation statements)

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“…There are many reports on the FEM modal analysis to calculate eigen-frequencies and eigen-modes of the piezoelectric devices. [16][17][18][19][20] These studies of the FEM modal analysis have been utilized to estimate the functions of ultrasonic linear motors. However, the previous FEM dynamic analysis, have been confined to steady state analysis.…”

Section: Dynamic Analysis Using Femmentioning

confidence: 99%

Ultrasonic Linear Motor using L1–B4 Mode and its Analysis

Park

Kim

et al. 2005

Jpn. J. Appl. Phys.

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This paper presents the results of a transient dynamic analyses and experiments on an ultrasonic linear motor (USLM). For a simulation of dynamics of the ultrasonic linear motor, an analytic method has been used. Numerical analysis was performed to determine the precise characteristics of the ultrasonic linear motor. The contact between slider and stator has hindered the transient dynamic finite element method (FEM) analysis of ultrasonic motors. In this study, the problem was solved using the reaction force. Transforming the applied electric field to the mechanical reaction force, transient dynamic analysis was performed in contact condition. The resonance frequency and the velocity of the linear motor were determined to be 35.6 kHz and 34 cm/s respectively from FEM analysis. And the equilibration time when the vibration and velocity of motor reach the steady states can be calculated. The validity of analysis results including eigen frequencies and a velocity of a motor, was confirmed by comparison with steady state analysis and experiments.

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Section: Dynamic Analysis Using Femmentioning

confidence: 99%

Ultrasonic Linear Motor using L1–B4 Mode and its Analysis

Park

Kim

et al. 2005

Jpn. J. Appl. Phys.

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“…[11][12][13] Recently, gyroscopes are required for sensing more complicated motions in wide-range of rotation speeds, and the use of vibratory gyroscopes has spread in various fields such as game controllers for motion sensing and robots for motion control. 14,15) Although resonators used in gyroscopes have been studied and many types of vibratory gyroscopes have been proposed, [16][17][18][19][20][21][22][23][24][25][26][27] these vibratory gyroscopes use a single pair of degenerate modes for driving and detecting modes in each axis. In terms of the quality factor (Q factor) of resonators, a high Q factor that leads to high sensitivity, is required for low-speed rotation; however, the relationship between rotation and the output voltage of the resonators with a high Q factor cannot keep its linearity to high-speed rotation.…”

Section: Introductionmentioning

confidence: 99%

Coaxial Vibratory Gyroscope Using Two Pairs of Degenerate Modes

Nakanishi¹,

Wakatsuki

Mizutani

2012

Jpn. J. Appl. Phys.

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A gyroscope using two pairs of degenerate modes for wide-range sensing is proposed. We focused on a coaxial resonator composed of a cylinder and a column. To evaluate the characteristics of the proposed gyroscope, we analyzed its frequency response and rotational response both experimentally and numerically. From the frequency response under rotation, there was a difference between the shifts of resonance frequencies of two detecting modes. We also found that the lower-frequency mode had higher sensitivity and the higher-frequency mode had a wider linear region from the rotation response of each mode. These results suggest that high sensitivity for low-speed rotation and a wide linear region for high-speed sensing can be attained simultaneously by a single resonator with the help of two different pairs of degenerate modes.

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