Computational Modeling of Nonlinear Dynamics and Its Utility in MEMS Gyroscopes.
Donghao Li,
Department of Mechanical and Civil Engineering, Florida Institute of Technology, Florida 32901, USA
Steven W. Shaw,
Department of Mechanical and Civil Engineering, Florida Institute of Technology, Florida 32901, USA / Department of Mechanical Engineering, Michigan State University, Michigan 48824, USA / Department of Physics and Astronomy, Michigan State University, Michigan 48824, USA
Pavel M. Polunin,
Department of Mechanical Engineering, Michigan State University, Michigan 48824, USA / Department of Physics and Astronomy, Michigan State University, Michigan 48824, USA
Abstract
This paper describes a hybrid approach for modeling nonlinear vibrations and determining essential (normal form) coefficients that govern a reduced-order model of a structure. Incorporating both computational and analytical tools, this blended method is demonstrated by considering a micro-electro-mechanical vibrating gyroscopic rate sensor that is actuated by segmented DC electrodes. Two characterization methods are expatiated, where one is more favorable in computational tools and the other can be used in experiments. Using the reduced model, it is shown that tuning the nonuniform DC bias results in favorable changes in Duffing and mode-coupling nonlinearities which can improve the gyroscope angular rate sensitivity by two orders of magnitude.
Index by keyword : Vibrating ring gyroscope, MEMS, Rate sensitivity, Nonlinear vibration, Nonlinear coupling, Parametric amplification, COMSOL characterization
To cite this article
Donghao Li, Steven W. Shaw & Pavel M. Polunin, «Computational Modeling of Nonlinear Dynamics and Its Utility in MEMS Gyroscopes.», Journal of Structural Dynamics [En ligne], Issue 1, URL : https://popups.uliege.be/2684-6500/index.php?id=96.
