Frequency analysis of a uniform ring perturbed by point masses and springs

Behbahani, Amir H.; M’Closkey, Robert T.

doi:10.1016/j.jsv.2017.02.057

Cited by 16 publications

(9 citation statements)

References 16 publications

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“…(2) Let n = 1, start the loop, and update u n+1 k , w n+1 k , and k iteratively, according to Equations (4) and (5)…”

Section: Variational Mode Decomposition (Vmd)mentioning

confidence: 99%

“…To be able to achieve an acceptable signal-to-noise ratio, it is necessary to compensate for manufacturing imperfections. For instance, in ring-type and axisymmetric resonators, methods stemming from the ring dynamics [5] can be used to tune the resonators [6,7], and similar techniques can be employed for tuning quadrupole gyros [8] and tuning for [9].…”

Section: Introductionmentioning

confidence: 99%

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Dual-Mass MEMS Gyroscope Parallel Denoising and Temperature Compensation Processing Based on WLMP and CS-SVR

2020

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For the sake of decreasing the effects of noise and temperature error on the measurement accuracy of micro-electro-mechanical system (MEMS) gyroscopes, a denoising and temperature drift compensation parallel model method based on wavelet transform and forward linear prediction (WFLP) and support vector regression based on the cuckoo search algorithm (CS-SVR) is proposed in this paper. First, variational mode decomposition (VMD) is proposed in this paper, which is aimed at dividing the output signal of the gyroscope into intrinsic mode functions (IMFs); then, the IMFs are classified into three features—drift, mixed, and pure noise features—by the sample entropy (SE) value. Second, a wavelet transform and forward linear prediction (WFLP) are combined to remove the noise from the mixed features. Meanwhile, the drift feature is compensated by support vector regression based on the cuckoo search algorithm (CS-SVR). Finally, through reconstruction, the final signal is obtained. Experimental results demonstrate that the VMD-SE-WFLP-CS-SVR method proposed in this paper can decrease noise and compensate the temperature error effectively (angular random walking value is optimized from 1.667°/√h to 0.0667°/√h and the bias stability is reduced from 30°/h to 4°/h). In terms of denoising, the performance of the WFLP algorithm is superior to the wavelet threshold and FLP, as it combines their advantages; furthermore, in terms of temperature compensation, the proposed CS-SVR algorithm uses the cuckoo search algorithm to find the optimal parameters of SVR, improving the accuracy of the model.

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“…(2) Let n = 1, start the loop, and update u n+1 k , w n+1 k , and k iteratively, according to Equations (4) and (5)…”

Section: Variational Mode Decomposition (Vmd)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Dual-Mass MEMS Gyroscope Parallel Denoising and Temperature Compensation Processing Based on WLMP and CS-SVR

2020

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“…However, due to the inevitable manufacturing imperfections, maintaining high quality factor during the mode matching is by no means trivial. During the last few years, large efforts have been made to improve quality factor and reduce frequency split [ 10 ]. Based on the frequency analysis of DRG perturbed by point masses and springs, several successful implementations have been employed to reduce the frequency differences without sacrificing the quality factor [ 11 , 12 , 13 ].…”

Section: Introductionmentioning

confidence: 99%

Study of the Influence of Phase Noise on the MEMS Disk Resonator Gyroscope Interface Circuit

Zhang

Chen

Yin

et al. 2020

Sensors

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In this paper, a detailed analysis of the influence of phase noise on the micro-electro-mechanical system (MEMS) disk resonator gyroscope (DRG) is presented. Firstly, a new time-varying phase noise model for the gyroscope is established, which explains how the drive loop circuit noise converts into phase noise. Different from previous works, the time-varying phase noise model in this paper is established in mechanical domain, which gain more physical insight into the origin of the phase noise in gyroscope. Furthermore, the impact of phase noise on DRG is derived, which shows how the phase noise affects angular velocity measurement. The analysis shows that, in MEMS DRG, the phase noise, together with other non-ideal factors such as direct excitation of secondary resonator, may cause a low frequency noise in the output of the gyroscope system and affect the bias stability of the gyroscope. Finally, numerical simulations and experiment tests are designed to prove the theories above.

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“…Besides, the employment of frequency tuning improves quality factor and reduces frequency split. Some effective and practical methods of mass adjustments, either addition or removal, have been successfully implemented for mode matching without deterioration of quality factor [ 5 , 6 , 7 , 8 ]. Several successful implementations have verified corresponding validity [ 9 , 10 , 11 , 12 ].…”

Section: Introductionmentioning

confidence: 99%

A Digital Interface ASIC for Triple-Axis MEMS Vibratory Gyroscopes

Chen

et al. 2020

Sensors

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This paper proposes a solution for sensing spatial angular velocity. A high-performance digital interface application specific integrated circuit (ASIC) for triple-axis micro-electromechanical systems (MEMS) vibratory gyroscopes is presented. The technique of time multiplexing is employed for synergetic stable drive control and precise angular velocity measurement in three separate degrees of freedom (DOF). Self-excited digital closed loop drives the proof mass in sensing elements at its inherent resonant frequency for Coriolis force generation during angular rotation. The analog front ends in both drive and sense loops are comprised of low-noise charge-voltage (C/V) converters and multi-channel incremental zoom analog-to-digital converters (ADC), so that capacitance variation between combs induced by mechanical motion is transformed into digital voltage signals. Other circuitry elements, such as loop controlling and accurate demodulation modules, are all implemented in digital logics. Automatic amplitude stabilization is mainly realized by peak detection and proportion-integration (PI) control. Nonlinear digital gain adjustment is designed for rapid establishment of resonance oscillation and linearity improvement. Manufactured in a standard 0.35-μm complementary metal-oxide-semiconductor (CMOS) technology, this design achieves a bias instability of 2.1°/h and a nonlinearity of 0.012% over full-scale range.

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Frequency analysis of a uniform ring perturbed by point masses and springs

Cited by 16 publications

References 16 publications

Dual-Mass MEMS Gyroscope Parallel Denoising and Temperature Compensation Processing Based on WLMP and CS-SVR

Dual-Mass MEMS Gyroscope Parallel Denoising and Temperature Compensation Processing Based on WLMP and CS-SVR

Study of the Influence of Phase Noise on the MEMS Disk Resonator Gyroscope Interface Circuit

A Digital Interface ASIC for Triple-Axis MEMS Vibratory Gyroscopes

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