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首页> 外文期刊>Sensing and imaging >Nonlinear Vibration Analysis of Beam Microgyroscopes using Nonlocal Strain Gradient Theory
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Nonlinear Vibration Analysis of Beam Microgyroscopes using Nonlocal Strain Gradient Theory

机译：非识别应变梯度理论光束微助晶体的非线性振动分析

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The objective of this paper is to present a novel nonlocal strain gradient formulationfor dynamic analysis of microgyroscopes. Taking into account the effect of nonlocaland gradient strains, the coupled equations of motion and the corresponding boundaryconditions are derived using the Hamilton’s principle. Reduced order models forelectrostatic and electrodynamic performance of the gyroscope are presented basedon Galerkin projection technique. First, the influence of nonlocal and length-scaleparameters on the electrostatic instability of the microgyroscope are investigated andit will be demonstrated that for electrostatic loading, the pull-in instability is delayedwith decreasing the nonlocal and/or increasing the length-scale parameters. Thenthe equations governing the electrodynamic performance of the system are solvedand the time responses and phase diagrams along to the drive and sense directionsare presented. The stable amplitude and instability margin of the gyroscope underelectrodynamic loading will be demonstrated to be subjected to nonlocal and lengthscaleparameters. Finally the frequency response of the gyroscope along the senseand drive directions are scrutinized. Accordingly, it will be shown that the nonlocaland length-scale values affect the near-resonance amplitude of vibration significantly.Furthermore, altering the values of nonlocal and length-scale parameters canchange the distance between two peak frequencies as well as their absolute values.
机译：本文的目的是提出一种新型非本发明的菌株梯度制剂用于微助晶的动态分析。考虑到非本体的影响和梯度菌株，运动的耦合方程和相应的边界使用汉密尔顿原则来源的条件。减少订单模型基于陀螺仪的静电和电动性能论Galerkin投影技术。首先，非局部和长度尺度的影响研究了微仪器的静电不稳定性的参数将证明，对于静电负载，拉伸不稳定延迟随着减少非局部和/或增加长度级参数。然后解决了系统电动性能的方程以及时间响应和相图以及驱动器和读取方向呈现。陀螺仪下的稳定幅度和不稳定性边缘将证明电动载荷将受到非局部和长度参数。最后沿着陀螺仪的频率响应并仔细检查驱动方向。因此，将显示非局部长度尺度值显着影响振动的近谐振幅度。此外，改变非识别数和长度参数的值可以更改两个峰值频率之间的距离以及它们的绝对值。

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