Geometrical nonlinearity stabilizes a wave solid-state gyro

Kovriguine, D. A.

doi:10.1007/s00419-013-0791-0

Cited by 2 publications

(3 citation statements)

References 9 publications

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“…A higher amplitude is advantageous in scale factor and detecting signals, which brings a better signal-to-noise ratio (SNR) [9][10][11][12]. factor directly determines the precision and drift characteristics of gyroscopes [13].…”

Section: Introductionmentioning

confidence: 99%

Simulations and Experiments on the Vibrational Characteristics of Cylindrical Shell Resonator Actuated by Piezoelectric Electrodes with Different Thicknesses

Luo¹,

Qu²,

Zhang³

et al. 2017

Shock and Vibration

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The resonator is the key element of the Coriolis Vibratory Gyroscope (CVG). The vibrational characteristics of the resonator, including the resonant frequency, vibrational amplitude, and factor, have a great influence on CVG's performance. Among them, the vibrational amplitude mainly affects the scale factor and the signal-to-noise ratio, and the factor directly determines the precision and drift characteristics of the gyroscope. In this paper, a finite element model of a cylindrical shell resonator actuated by piezoelectric electrodes with different thicknesses is built to investigate the vibrational characteristics. The simulation results indicate that the resonant frequency barely changes with the electrode thickness, whereas the vibrational amplitude is inversely proportional to the electrode thickness under the same driving voltage. Experiments were performed with four resonators and piezoelectric electrodes of four sizes, and results were consistent with simulations. The resonant frequencies of four resonators changed within 0.36% after attaching the piezoelectric electrodes. Meanwhile, with the same driving voltage, it was shown that the vibrational amplitude decreased with the increase of electrode thickness. Moreover, thinner electrodes resulted in better factor and therefore better performance. This study may provide useful reference on electrode design of the CVGs.

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Section: Introductionmentioning

confidence: 99%

Simulations and Experiments on the Vibrational Characteristics of Cylindrical Shell Resonator Actuated by Piezoelectric Electrodes with Different Thicknesses

Luo¹,

Qu²,

Zhang³

et al. 2017

Shock and Vibration

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show abstract

“…(1). Nonetheless, here we decided to invoke more general case in our consideration, namely a thin-ring resonator of which is described in detail in [11].…”

Section: Vibration Analysis and Control In Mechanical Structures And mentioning

confidence: 99%

“…Truncated equations or evolution equations describing the modulation phenomena of amplitudes and phases can be directly obtained using the following anzats [12][13][14][15]:…”

Section: Triple-mode Resonant Coupling Between Waves In the Ringmentioning

confidence: 99%

Bifurcation Makes a Wave Resonant Solid-State Gyro Be Stable

Никитенкова¹,

Kovriguine²

2018

Vibration Analysis and Control in Mechanical Structures and Wind Energy Conversion Systems

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A golf ball having special dimples flies better than an analogous smoothed one. A surprise is that there is a range of Reynolds numbers for which the turbulent drag is somewhat less than that in the laminar case. Analogies always meet together and are accomplished themselves in the physics. We have traced an effect similar to the above mentioned in the area of solid mechanics when the nonlinear system passes through a sequence of bifurcations. In mechanical engineering, the role of such a system can play a solid-state wave gyro entering the family of MEMS/NEMS. It is known that a circular Foucault pendulum can serve as an angular sensor. Standing waves in a thin-walled elastic axisymmetric resonator of a solid-state wave gyro, mounted on a rotating platform, can also detect a rotation rate. Because there are no typical mechanical parts there, such wave sensors have advantages for long-term space missions. However, to maintain the functionality and sensitivity of a wave gyro in practice, the driving of standing waves requires a sophisticated feedback control. Nonetheless, we have demonstrated that such a gyro can operate without any feedback at the expense of the natural nonlinearity of the resonator in a postbifurcation regime.

show abstract

Geometrical nonlinearity stabilizes a wave solid-state gyro

Cited by 2 publications

References 9 publications

Simulations and Experiments on the Vibrational Characteristics of Cylindrical Shell Resonator Actuated by Piezoelectric Electrodes with Different Thicknesses

Simulations and Experiments on the Vibrational Characteristics of Cylindrical Shell Resonator Actuated by Piezoelectric Electrodes with Different Thicknesses

Bifurcation Makes a Wave Resonant Solid-State Gyro Be Stable

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