Forced large amplitude periodic vibrations of non-linear Mathieu resonators for microgyroscope applications

International audienceThis paper describes a comprehensive non-linear multiphysics model based on the Euler-Bernoulli beam equation that remains valid up to large displacements in the case of electrostatically actuated Mathieu resonators. This purely analytical model takes into account the fringing field effects and is used to track the periodic motions of the sensing parts in resonant microgyroscopes. Several parametric analyses are presented in order to investigate the effect of the proof mass frequency on the bifurcation topology. The model shows that the optimal sensitivity is reached for resonant microgyroscopes designed with sensing frequency four times faster than the actuation one

Design and Analysis of Nano Vibratory Beam Gyroscope

Gyroscope is an angular rate measurement sensor having broad application in the field of automotive, military services, aerospace and consumer electronics industries. Silicon micro machined MEMS vibratory gyroscopes have better advantages compared to conventional gyroscope. Nano beam vibratory gyroscope is one of the simple gyroscope. It has relatively small size, light weight, low power consumption, low cost and simple structure. When a gyroscope is made to rotate at its base along with some excitation in one of the bending direction, due to Coriolis effect, there will be significant displacement in other bending direction. Dynamic modeling of beam gyroscope is very interesting area. In the micro/nano level actuation and sensing are with electrostatics principles. This report presents the modeling and analytical simulation task of a nano cantilever beam gyroscope. Static and dynamic analysis of a nano/micro cantilever gyroscope with a tip mass is studied. Pull-in instability corresponding voltage is estimated from static and frequency response. Pull-in stability regions are identified as a function of beam length, tip mass value, elastic modulus of the beam. Nonlinearities due to geometry and the external forces including electrostatic and van der Waals forces are considered during modelling. Squeeze film and slide film damping are considered to account the damping force between the tip mass and sense and drive direction. The dynamic solution is obtained by using Galerkin’s reduction scheme. The time response and the frequency domain graphs are arrived for different parameters on both sense and drive directions. The interactive program developed in the work are helpful to account any experiments for additional force at nano leve

Розвиток теорії автономного визначення навігаційних параметрів рухомих та нерухомих об’єктів

Дисертаційну роботу присвячено вирішенню наукової проблеми створення теорії нових способів автономного визначення навігаційних параметрів рухомих та нерухомих об’єктів шляхом створення методів визначення широти і довготи за допомогою інерціально-вимірювального модулю на нерухомій основі, визначення широти та довготи та курсу на рухомій основі, що дозволяє в порівнянні з традиційними алгоритмами БІНС обходитися без інтегрування показників акселерометрів, а визначення довготи потребує лише інтегрування показників гіроскопів

NEMS Gyroscope

International audienceActually MEMS is a widely spread and well known term - Micro-Electro-Mechanical Systems. MEMS gyroscope is well known almost twenty years. For the time being NEMS is still a new term and it is meant Nano-Electro-Mechanical Systems. It is discussed NEMS gyroscope as a new angular rate sensor. It is suggested to use recently invented narrowest electrical wire, just three atoms wide or graphene nanoribbons as a new type of the angular rate sensor. The basic principle of the new device is similar to the Sagnac effect for the light speed. It is described the method of angular rate determination. The voltage difference between two wire coils with different line coupling can be expressed in applied rotation (angular) rate and velocity of electric current. The obtained scale factor depends on the magnitude of the current, number of the coil turns, the coil's radius, the cross-section area of the wire and specific (unit) resistance of the wire. The device can be produced from hybrid metal-organic chalcogenide nanowires or graphene nanoribbons. It is proposed any ways of sensor improvement