Reduced order modelling of the non-linear stiffness in MEMS resonators

Reduced order modelling of the non-linear stiffness in MEMS resonators
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DOI:
10.1016/j.ijnonlinmec.2019.07.002
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发表时间:
2019-11-01
影响因子:
3.2
通讯作者:
Gobat, Giorgio
Gobat, Giorgio
中科院分区:
工程技术3区
文献类型:
--
作者:
Frangi, Attilio;Gobat, Giorgio

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我们提出了一个简化的数值技术来量化MEMS谐振器中的非线性刚度的影响,我们验证了我们的方法上的夹紧夹紧梁,软化盘环陀螺仪(DRG)和浅拱显示内部共振。我们生成一个降阶模型(ROM),这是集成与直接集成的方法或弧长控制的延续技术。最后,我们比较和验证的结果与完整的有限元模型。
We propose a simplified numerical technique to quantify the effects of non-linear stiffness in MEMS resonators and we validate our approach on a clamped-clamped beam, a softening Disk Ring Gyroscope (DRG) and a shallow arch showing internal resonance. We generate a Reduced Order Model (ROM) which is integrated with either a direct integration approach or a continuation technique with arc length control. Finally we compare and validate the results with a full FEM model.