传感技术学报
傳感技術學報
전감기술학보
Journal of Transduction Technology
2014年
7期
881-885
,共5页
董林玺%俞权%包金艳%陶家平
董林璽%俞權%包金豔%陶傢平
동림새%유권%포금염%도가평
MEMS圆盘谐振器%静电力%惯性力%形变量%电气刚度
MEMS圓盤諧振器%靜電力%慣性力%形變量%電氣剛度
MEMS원반해진기%정전력%관성력%형변량%전기강도
MEMS disk resonator%electrostatic force%inertial force%deformation%electrical stiffness
电气刚度是影响MEMS谐振器谐振频率精度的因素之一。但是对于谐振器受到应力时,产生的形变量对电气刚度的影响的理论研究报道甚少。鉴于此,本文对电容式盘结构谐振器受径向静电力和纵向惯性力下的形变量以及电气刚度的改变量进行了系统的理论分析。研究结果表明,当圆盘与电极间隙为50 nm,且电压达到50 V时,圆盘由于静电力产生的径向形变量可达间隙的2.05%,电气刚度改变6.15%。当圆盘半径为100μm,且受到10000 gn 的纵向惯性力时,其最大形变量可以达到圆盘厚度的2.4%,电气刚度改变2.4%。本文分析结果对其他盘结构谐振器的分析亦有重要借鉴意义。
電氣剛度是影響MEMS諧振器諧振頻率精度的因素之一。但是對于諧振器受到應力時,產生的形變量對電氣剛度的影響的理論研究報道甚少。鑒于此,本文對電容式盤結構諧振器受徑嚮靜電力和縱嚮慣性力下的形變量以及電氣剛度的改變量進行瞭繫統的理論分析。研究結果錶明,噹圓盤與電極間隙為50 nm,且電壓達到50 V時,圓盤由于靜電力產生的徑嚮形變量可達間隙的2.05%,電氣剛度改變6.15%。噹圓盤半徑為100μm,且受到10000 gn 的縱嚮慣性力時,其最大形變量可以達到圓盤厚度的2.4%,電氣剛度改變2.4%。本文分析結果對其他盤結構諧振器的分析亦有重要藉鑒意義。
전기강도시영향MEMS해진기해진빈솔정도적인소지일。단시대우해진기수도응력시,산생적형변량대전기강도적영향적이론연구보도심소。감우차,본문대전용식반결구해진기수경향정전력화종향관성력하적형변량이급전기강도적개변량진행료계통적이론분석。연구결과표명,당원반여전겁간극위50 nm,차전압체도50 V시,원반유우정전력산생적경향형변량가체간극적2.05%,전기강도개변6.15%。당원반반경위100μm,차수도10000 gn 적종향관성력시,기최대형변량가이체도원반후도적2.4%,전기강도개변2.4%。본문분석결과대기타반결구해진기적분석역유중요차감의의。
Electrical stiffness is one of the factors that affect the resonant frequency accuracy of MEMS resonator. But there are few reports on the study of the impact of deformation on the electrical stiffness when the resonator is under the stress. Therefore,the deformation under the radial electrostatic force and longitudinal inertial force,and the variation on the electrical stiffness of capacitive disk resonator are systematically analyzed in this paper. The results show that when the gap between the disk and electrodes is 50 nm,and the voltage reaches 50 V,the radial deformation due to the electrostatic force can be 2 . 05% of the gap and the electrical stiffness changes 6 . 15%. When the longitudinal inertial force of 10 000 gn is supplied,if the radius of disk is 100μm,the biggest deformation can be 2 . 4% of the disk thickness and the electrical stiffness changes 2 . 4%. The results of this paper also have im-portant references for other disk resonators.