Bifurcation Analysis of a Micro-Machined Gyroscope with Nonlinear Stiffness and Electrostatic Forces
The bifurcation of the periodic response of a micro-machined gyroscope with cubic supporting stiffness and fractional electrostatic forces is investigated. The pull-in phenomenon is analyzed to show that the system can have a stable periodic response when the detecting voltage is kept within a certa...
| Published in: | Micromachines |
|---|---|
| Main Authors: | Huabiao Zhang, Xinye Li, Lijuan Zhang |
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2021-01-01
|
| Subjects: | |
| Online Access: | https://www.mdpi.com/2072-666X/12/2/107 |
Similar Items
Inclination Effect on the Periodic Response of a Symmetrical MEMS Gyroscope
by: Lijuan Zhang, et al.
Published: (2022-09-01)
by: Lijuan Zhang, et al.
Published: (2022-09-01)
Jump and Pull-in Instability of a MEMS Gyroscope Vibrating System
by: Yijun Zhu, et al.
Published: (2023-07-01)
by: Yijun Zhu, et al.
Published: (2023-07-01)
Bifurcation Analysis on the Periodic Response of a Comb Drive MEMS Resonator
by: Huabiao Zhang, et al.
Published: (2022-01-01)
by: Huabiao Zhang, et al.
Published: (2022-01-01)
Influence of Electrostatic Force Nonlinearity on the Sensitivity Performance of a Tapered Beam Micro-Gyroscope Based on Frequency Modulation
by: Kunpeng Zhang, et al.
Published: (2023-01-01)
by: Kunpeng Zhang, et al.
Published: (2023-01-01)
Influence of System and Actuator Nonlinearities on the Dynamics of Ring-Type MEMS Gyroscopes
by: Ibrahim F. Gebrel, et al.
Published: (2021-10-01)
by: Ibrahim F. Gebrel, et al.
Published: (2021-10-01)
A New Hybrid Gyroscope with Electrostatic Negative Stiffness Tuning
by: Xian Chu, et al.
Published: (2013-05-01)
by: Xian Chu, et al.
Published: (2013-05-01)
Investigation of Gyroscopic Effect on the Stability of High Speed Micromilling via Bifurcation Analysis
by: Rinku K. Mittal, et al.
Published: (2021-12-01)
by: Rinku K. Mittal, et al.
Published: (2021-12-01)
Bifurcation curves for singular and nonsingular problems with nonlinear boundary conditions
by: Jerome Goddard, et al.
Published: (2018-01-01)
by: Jerome Goddard, et al.
Published: (2018-01-01)
FOG De-Noising Algorithm Based on Augmented Nonlinear Differentiator and Singular Spectrum Analysis
by: Xiaoming Zhang, et al.
Published: (2018-09-01)
by: Xiaoming Zhang, et al.
Published: (2018-09-01)
Design, Dynamics, and Optimization of a 3-DoF Nonlinear Micro-Gyroscope by Considering the Influence of the Coriolis Force
by: Sai Wang, et al.
Published: (2022-02-01)
by: Sai Wang, et al.
Published: (2022-02-01)
Design model-free controller for a chaotic nonlinear gyroscope system
by: Ali Foroutan, et al.
Published: (2024-02-01)
by: Ali Foroutan, et al.
Published: (2024-02-01)
Nonlinear dynamics for cylindrical resonator of wave solid-state gyroscope with different number of electrostatic control sensors
by: Maslov, Alexander Anatolyevich, et al.
Published: (2025-07-01)
by: Maslov, Alexander Anatolyevich, et al.
Published: (2025-07-01)
Bifurcation analysis of a first time-delay chaotic system
by: Tianzeng Li, et al.
Published: (2019-02-01)
by: Tianzeng Li, et al.
Published: (2019-02-01)
Nonlinear Vibration Characteristics and Bifurcations of a Rotor System Subjected to Brush Seal Forces
by: Yingyong Zou, et al.
Published: (2023-10-01)
by: Yingyong Zou, et al.
Published: (2023-10-01)
Bifurcation study and pattern formation analysis of a nonlinear dynamical system for chaotic behavior in traveling wave solution
by: Adil Jhangeer, et al.
Published: (2022-06-01)
by: Adil Jhangeer, et al.
Published: (2022-06-01)
Influence of Electrostatic Forces on the Vibrational Characteristics of Resonators for Coriolis Vibratory Gyroscopes
by: Pengbo Xiao, et al.
Published: (2020-01-01)
by: Pengbo Xiao, et al.
Published: (2020-01-01)
Shape optimization of geometrically nonlinear modal coupling coefficients: an application to MEMS gyroscopes
by: Daniel Schiwietz, et al.
Published: (2025-03-01)
by: Daniel Schiwietz, et al.
Published: (2025-03-01)
A Dual-Mass Resonant MEMS Gyroscope Design with Electrostatic Tuning for Frequency Mismatch Compensation
by: Francesca Pistorio, et al.
Published: (2021-01-01)
by: Francesca Pistorio, et al.
Published: (2021-01-01)
Research on Nonlinear Compensation of the MEMS Gyroscope under Tiny Angular Velocity
by: Chunhua Ren, et al.
Published: (2022-08-01)
by: Chunhua Ren, et al.
Published: (2022-08-01)
Bayesian optimization of Fisher Information in nonlinear multiresonant quantum photonics gyroscopes
by: Sun Mengdi, et al.
Published: (2024-03-01)
by: Sun Mengdi, et al.
Published: (2024-03-01)
Complex dynamics of a heavy symmetrical gyroscope under a parametric nonlinear damping
by: Hodévèwan Clément Miwadinou, et al.
Published: (2025-03-01)
by: Hodévèwan Clément Miwadinou, et al.
Published: (2025-03-01)
Effect of Uneven Electrostatic Forces on the Dynamic Characteristics of Capacitive Hemispherical Resonator Gyroscopes
by: Zeyuan Xu, et al.
Published: (2019-03-01)
by: Zeyuan Xu, et al.
Published: (2019-03-01)
Analysis and Suppression of Nonlinear Error of Pendulous Integrating Gyroscopic Accelerometer at Instrument Level
by: Xiaojun Zhou, et al.
Published: (2023-01-01)
by: Xiaojun Zhou, et al.
Published: (2023-01-01)
Composite Compensation Method for Scale-Factor Nonlinearity in MEMS Gyroscopes Based on Initial Calibration
by: Zhaoyin Ding, et al.
Published: (2025-07-01)
by: Zhaoyin Ding, et al.
Published: (2025-07-01)
On bifurcations of a periodic orbit tangent to switching lines at two points
by: V.Sh. Roitenberg
Published: (2025-06-01)
by: V.Sh. Roitenberg
Published: (2025-06-01)
Bifurcation analysis in a singular Beddington-DeAngelis predator-prey model with two delays and nonlinear predator harvesting
by: Xin-You Meng, et al.
Published: (2019-03-01)
by: Xin-You Meng, et al.
Published: (2019-03-01)
Parallel Numerical Creation of 2-parametric Bifurcation Diagram of Nonlinear Oscillators
by: Flóra Hajdu
Published: (2018-07-01)
by: Flóra Hajdu
Published: (2018-07-01)
Complex dynamics and coexistence of period-doubling and period-halving bifurcations in an integrated pest management model with nonlinear impulsive control
by: Changtong Li, et al.
Published: (2020-09-01)
by: Changtong Li, et al.
Published: (2020-09-01)
A Gimballed Control Moment Gyroscope Cluster Design for Spacecraft Attitude Control
by: Charalampos Papakonstantinou, et al.
Published: (2021-09-01)
by: Charalampos Papakonstantinou, et al.
Published: (2021-09-01)
Nonlinearity Harmonic Error Compensation Method Based on Intelligent Identification for Rate Integrating Resonator Gyroscope
by: Xiaodi Yi, et al.
Published: (2025-02-01)
by: Xiaodi Yi, et al.
Published: (2025-02-01)
Bifurcation diagrams for singularly perturbed system
by: Matteo Franca
Published: (2012-09-01)
by: Matteo Franca
Published: (2012-09-01)
NONLINEAR DYNAMICS ANALYSIS OF A SINGLE-DISK FLEXIBLE RUBBING ROTOR
by: LIU DeQiang
Published: (2021-01-01)
by: LIU DeQiang
Published: (2021-01-01)
Study of Nonlinear Aerodynamic Self-Excited Force in Flutter Bifurcation and Limit Cycle Oscillation of Long-Span Suspension Bridge
by: Jieshan Liu, et al.
Published: (2023-09-01)
by: Jieshan Liu, et al.
Published: (2023-09-01)
Analysis of Nonlinear Vibration in Permanent Magnet Synchronous Motors under Unbalanced Magnetic Pull
by: Ao Zhang, et al.
Published: (2018-01-01)
by: Ao Zhang, et al.
Published: (2018-01-01)
On the Lateral Instability Analysis of MEMS Comb-Drive Electrostatic Transducers
by: Binh Duc Truong, et al.
Published: (2019-08-01)
by: Binh Duc Truong, et al.
Published: (2019-08-01)
The Bifurcation and Exact Solution of the Nonlinear Schrödinger Equation with Kudryashov’s Quintic Power Law of the Refractive Index Together with the Dual Form of Nonlocal Nonlinearity
by: Cailiang Chen, et al.
Published: (2025-06-01)
by: Cailiang Chen, et al.
Published: (2025-06-01)
Multiplicity for a strongly singular quasilinear problem via bifurcation theory
by: Jacques Giacomoni, et al.
Published: (2023-04-01)
by: Jacques Giacomoni, et al.
Published: (2023-04-01)
A Micro-Machined Gyroscope for Rotating Aircraft
by: Fuxue Zhang, et al.
Published: (2012-07-01)
by: Fuxue Zhang, et al.
Published: (2012-07-01)
Bifurcation Theory: A Review
by: Salma Farris, et al.
Published: (2023-12-01)
by: Salma Farris, et al.
Published: (2023-12-01)
Design of a Micro-Electro Mechanical System Quad Mass Gyroscope with Compliant Mechanical Amplification
by: Jingchuan Zhou, et al.
Published: (2024-01-01)
by: Jingchuan Zhou, et al.
Published: (2024-01-01)
Similar Items
-
Inclination Effect on the Periodic Response of a Symmetrical MEMS Gyroscope
by: Lijuan Zhang, et al.
Published: (2022-09-01) -
Jump and Pull-in Instability of a MEMS Gyroscope Vibrating System
by: Yijun Zhu, et al.
Published: (2023-07-01) -
Bifurcation Analysis on the Periodic Response of a Comb Drive MEMS Resonator
by: Huabiao Zhang, et al.
Published: (2022-01-01) -
Influence of Electrostatic Force Nonlinearity on the Sensitivity Performance of a Tapered Beam Micro-Gyroscope Based on Frequency Modulation
by: Kunpeng Zhang, et al.
Published: (2023-01-01) -
Influence of System and Actuator Nonlinearities on the Dynamics of Ring-Type MEMS Gyroscopes
by: Ibrahim F. Gebrel, et al.
Published: (2021-10-01)
