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Mode-localized accelerometer with ultrahigh sensitivity

Science China(Information Sciences) 2022年第4期65卷 238-250页

作者： Hao KANG Bing RUAN Yongcun HAO Honglong CHANG Ministry of Education Key Laboratory of Micro and Nano Systems for Aerospace School of Mechanical EngineeringNorthwestern Polytechnical University

The mode localization phenomenon is an effective technique to enhance sensor sensitivity,and some low noise floor mode-localized sensors,including accelerometers,mass sensors,and electrometers,have been successfully *** further improve the performance of the mode-localized accelerometer,we report a microelectromechanical system mode-localized accelerometer based on 4-degree of freedom （DoF） weakly coupled resonators （WCRs） with a stress-relief structure eliminating the thermal stress generated during the silicon-on-glass fabrication *** results show that compared with the state-of-the-art 3-DoF mode-localized accelerometer (4.40 g-1),the amplitude ratio-based sensitivity of the proposed accelerometer(119.36 V·g-1) is improved by 2612%.Moreover,the noise floor is 0.64μg·Hz-1/2from 0.01 to 3 Hz under the closed-loop *** the authors’best knowledge,this is the lowest measured noise floor for mode-localized accelerometers.

关键词： mode localization weakly coupled resonators accelerometer degree-of-freedom microe-lectromechanical system

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Improvement of Harmonic Balance Using Jacobian Elliptic Functions

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Journal of Applied Mathematics and Physics 2015年第6期3卷 680-690页

作者： Serge Bruno Yamgoué Bonaventure Nana Olivier Tiokeng Lekeufack Department of Physics Higher Teacher Training College-Bambili The University of Bamenda Bamenda Cameroon Laboratory of Mechanics Department of Physics Faculty of Science The University of Yaoundé 1 Yaoundé Cameroon

We propose a method for finding approximate analytic solutions to autonomous single degree-of-freedom nonlinear oscillator equations. It consists of the harmonic balance with linearization in which Jacobian elliptic functions are used instead of circular trigonometric functions. We show that a simple change of independent variable followed by a careful choice of the form of anharmonic solution enable to obtain highly accurate approximate solutions. In particular our examples show that the proposed method is as easy to use as existing harmonic balance based methods and yet provides substantially greater accuracy.

关键词： Harmonic Balance Linearization Continuous Force Function Single degree-of-freedom Conservative System Jacobian Elliptic Functions Symmetric Oscillations

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