• 제목/요약/키워드: MEMS equation

검색결과 31건 처리시간 0.022초

Duffing 방정식을 가진 MEMS에서의 카오스 현상 (Chaotic Phenomena in MEMS with Duffing Equation)

  • 배영철
    • 한국전자통신학회논문지
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    • 제6권5호
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    • pp.709-716
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    • 2011
  • 최근 센서 네트워크 등이 대량으로 설치되면서 전원에 대한 유지보수의 어려움을 자지고 있다. 이를 해결하기 위한 방법으로 센서 네트워크에 MEMS 발진기를 삽입하여 MEMS 발생하는 진동을 이용한 전원 개발이 관심을 받고 있다. 본 논문에서는 MEMS 시스템에서 전원 신호로 사용할 수 있는 진동 신호를 발생시키기 위한 방법의 하나로 Duffing 방정식으로 구성하는 MEMS 시스템을 제안하고 이 시스템의 진동신호에서 카오스적인 거동을 컴퓨터 시뮬레이션으로 확인하고 검증하였다. 검증 방법으로 파라미터 변화에 의한 주기 운동과 카오스 운동이 있음을 시계열 데이터, 위상 공간, 전력 스펙트럼, 포엔카레 멥을 통하여 확인하였다.

MATHEMATICAL ANALYSIS OF NONLINEAR DIFFERENTIAL EQUATION ARISING IN MEMS

  • Zhang, Ruifeng;Li, Na
    • 대한수학회보
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    • 제49권4호
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    • pp.705-714
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    • 2012
  • In this paper, we study nonlinear equation arising in MEMS modeling electrostatic actuation. We will prove the local and global existence of solutions of the generalized parabolic MEMS equation. We present that there exists a constant ${\lambda}^*$ such that the associated stationary problem has a solution for any ${\lambda}$ < ${\lambda}^*$ and no solution for any ${\lambda}$ > ${\lambda}^*$. We show that when ${\lambda}$ < ${\lambda}^*$ the global solution converges to its unique maximal steady-state as $t{\rightarrow}{\infty}$. We also obtain the condition for the existence of a touchdown time $T{\leq}{\infty}$ for the dynamical solution. Furthermore, there exists $p_0$ > 1, as a function of $p$, the pull-in voltage ${\lambda}^*(p)$ is strictly decreasing with respect to 1 < $p$ < $p_0$, and increasing with respect to $p$ > $p_0$.

MEMS 소자에서의 비선형 현상 (Nonlinear Phenomena in MEMS Device)

  • 김주완;구영덕;배영철
    • 한국전자통신학회논문지
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    • 제7권5호
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    • pp.1073-1078
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    • 2012
  • 본 논문에서는 MEMS에서 비선형적인 특성을 확인하기 위하여 Duffing 방정식을 가지는 MEMS 시스템을 제안하고 여기에 다른 종류의 비선형 항을 삽입하였을 때의 비선형 현상을 분석하였다. 검증 방법으로 파라미터 변화에 의한 카오스 운동이 있음을 시계열 데이터, 위상 공간, 전력 스펙트럼을 통하여 확인하였다.

샘플 통계에 근거한 MEMS 자이로스코프의 설계변수 불확정성이 성능에 미치는 영향 분석 방법 (Analysis on Effects of Design Variable Uncertainty on the Performance of MEMS Gyroscope Based on Sample Statistics)

  • 김용우;유홍희
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2009년도 추계학술대회 논문집
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    • pp.119-123
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    • 2009
  • Recently, a MEMS gyroscope has been broadly fabricated and used due to development of a micromachining. However, there is a difference between the modeling design and the actual product and this difference can lead to the performance variation of a MEMS gyroscope. A classical design method does not exactly estimate the performance of a MEMS gyroscope. Therefore a design process considering the design variable uncertainty has to be employed to design MEMS gyroscope model. In this paper, the equation of motion of a MEMS gyroscope model is obtained to analyze the performance of a MEMS gyroscope and the effects of the design variables on the MEMS gyroscope performance are investigated. Finally the performance of MEMS gyroscope is estimated through a statistical analysis based on sample statistics.

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RF-MEMS 스위치용 마이크로 외팔보의 감쇠특성 (Damping Characteristics of a Microcantilever for Radio Frequency-microelectromechanical Switches)

  • 이진우
    • 한국소음진동공학회논문집
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    • 제21권6호
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    • pp.553-561
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    • 2011
  • A theoretical approach is carried out to predict the quality factors of flexible modes of a microcantilever on a squeeze-film. The frequency response function of an inertially-excited microcantilever beam is derived using an Euler-Bernoulli beam theory. The external force due to squeeze-film phenomenon is developed from the Reynolds equation. Slip boundary conditions are employed at the interfaces between the fluid and the structure to consider the gas rarefaction effect, and pressure boundary condition at both ends of fluid analysis region is enhanced to increase the exactness of predicted quality factors. To the end, an approximate equation is derived for the first bending mode of the microcantilever. Using the approximate equation, the quality factors of the second and third bending modes are calculated and compared with experimental results of previously reported work. The comparison shows the feasibility of the current approach.

Slip flow 영역에서 Navier Stokes 방정식의 해석 연구 (Solutions of the Navier-Stokes equation in slip flow region)

  • 박원희;김태국
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2000년도 추계학술대회논문집B
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    • pp.597-602
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    • 2000
  • In a MEMS(micro-electro mechanical system), the fluid may slip near the surface of a solid and have a discontinuous temperature profile. A numerical prediction in this slip flow region can provide a reasonable guide for the design and fabrication of micro devices. The compressible Navier-Stokes equation with Maxwell/smoluchowski boundary condition is solved for two simple systems; couette flow and pressure driven flow in a long channel. We found that the couette flow could be regarded as an incompressible system in low speed regions. For the pressure driven flow system, we observed nonlinear distribution of pressure in the long channel and numerical results showed a good agreement with the experimental results.

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The Static and Dynamic Performance of a MEMS/MST Based Gas-Lubricated proceeding Bearing with the Slip Flow Effect

  • Kwak, H.-D.;Lee, Y.-B.;Kim, C.-H.;Lee, N.-S.;Choi, D.-H.
    • 한국윤활학회:학술대회논문집
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    • 한국윤활학회 2002년도 proceedings of the second asia international conference on tribology
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    • pp.103-104
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    • 2002
  • The influence of the slip flow on the MEMS/MST based gas-lubricated proceeding bearing is investigated. Based on the modified Reynolds equation, the numerical analysis of the finite difference method was developed by applying the first order slip flow approximation. The numerical prediction of bearing performance provides the significant results concerning the slip flow effect in micro scale gas-lubricated proceeding bearing. The result indicates that the load-carrying capacity as well as the rotordynamic coefficients were significantly reduced due to the slip flow. Through this work, it is concluded that the slip flow effect could not be ignored in the micro gas-lubricated proceeding bearing.

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경계 요소법에 의한 직교 이방성 다결정 재료의 응력해석에 관한 연구 (A Study of Stress Analysis of Multi-Grain Orthotropic Material by BEM)

  • 김동은;이상훈;정일중;이석순
    • 한국정밀공학회지
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    • 제25권4호
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    • pp.127-133
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    • 2008
  • As the application of the MEMS parts increases, the structural safety of MEMS appears importantly. A lot of MEMS parts are made by a multi-grain silicon wafer, which is an orthotropic material. Moreover directions of the materials on each grain are distributed randomly. The stress analysis for the multi-grain is important factor in order to apply the MEMS parts to industrial applications. The finite element method (FEM) is commonly used by a stress analysis method but the boundary element method (BEM) is known as the result of the BEM is more accurate than that of the FEM since the fundamental solution are used. In this study, we derived the boundary integration equation for the orthotropic material by applying fundamental solutions with complex variables. The multi-region analysis procedure for the BEM and the multi-grain generation procedure by a random process technique are developed in order to apply the analysis of the multi-grain orthotropic material. The discontinuous element is used in order to remove the comer problem in the BEM. The results of the present method are compared with those of the finite element method in order to verify the present procedure.

고속 자율 무인잠수정 적용을 위한 MEMS 기술기반 자세 측정 장치 개발 (Development of Attitude Heading Reference System based on MEMS for High Speed Autonomous Underwater Vehicle)

  • 황아롬;안남현;윤선일
    • 해양환경안전학회지
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    • 제19권6호
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    • pp.666-673
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    • 2013
  • 본 연구는 빠른 운항 속도와 짧은 운용 시간을 요구하는 임무에 활용될 저가 소형 자율 무인잠수정에 고가 대형 관성 측정 장치를 대신하여 사용할 수 있는 저가 소형 자세 측정 장치 개발 및 성능 검증을 수행하였다. 저가 소형 자세 측정 장치 개발을 위해서 MEMS 기술을 적용한 gyro, accelerometer 및 magnetometer 채택하여 MEMS 기반 하드웨어를 제작하였으며, 좌표 변환 공식과 칼만 필터를 적용하여 자세 계산 알고리즘을 구현하였다. 또한 개발된 MEMS 기반 자세 측정 장치에 대한 기본 성능 검증을 위한 지자기센서 검증 시험, 정적 자세 시험, 차량 시험, 운동 모사 장치 시험을 수행하였으며, 각각 시험 결과를 제시하였다. 지자기센서 검증 시험 결과 외부 자기장 보정을 통하면 개발된 MEMS 기반 자세 측정 장치의 측정 결과가 외부 자기장에 강인함을 확인하였으며, 정적 자세 시험 및 차량 시험을 통하여 자세 변화가 크지 않는 환경에서 자세 측정 오차가 $0.5^{\circ}/hr$ 임을 확인하였다. 운동 모사 장치 시험을 통하여 5분 내외 자세 변화가 큰 운동 중에도 자세 측정 오차가 발산하지 않고 $1^{\circ}/hr$ 이내임을 확인하였다. 상기 시험 결과로부터 개발된 MEMS 기반 자세 측정 장치가 목표 성능인 $1^{\circ}/hr$이내 roll, pitch, yaw 오차를 보여주고 있음 확인하였으며, 이로부터 20분 내외 운용 시간 동안 정확한 자세 정보 제공 가능성을 확인할 수 있었다.

MEMS 응용을 위한 $Ar^+$ 이온 레이저에 의한 단결정/다결정 실리콘 식각 특성 (Characteristics of single/poly crystalline silicon etching by$Ar^+$ ion laser for MEMS applications)

  • 이현기;한승오;박정호;이천
    • 대한전기학회논문지:전기물성ㆍ응용부문C
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    • 제48권5호
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    • pp.396-401
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    • 1999
  • In this study, $Ar^+$ ion laser etching process of single/poly-crystalline Si with $CCl_2F_2$ gas is investigated for MEMS applications. In general, laser direct etching process is useful in microelectronic process, fabrication of micro sensors and actuators, rapid prototyping, and complementary processing because of the advantages of 3D micromachining, local etching/deposition process, and maskless process with high resolution. In this study, a pyrolytic method, in which $CCl_2F_2$ gasetches molten Si by the focused laser, was used. In order to analyze the temperature profile of Si by the focused laser, the 3D heat conduction equation was analytically solved. In order to investigate the process parameters dependence of etching characteristics, laser power, $CCl_2F_2$ gas pressure, and scanning speed were varied and the experimental results were observed by SEM. The aspect ratio was measured in multiple scanning and the simple 3D structure was fabricated. In addition, the etching characteristics of $6\mum$ thick poly-crystalline Si on the insulator was investigated to obtain flat bottom and vertical side wall for MEMS applications.

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