ANSYS Simulation (1)ocw.snu.ac.kr/sites/default/files/MATERIAL/2451.pdf · Dong-il “Dan” Cho,...

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ANSYS Simulation (1) Dong-il “Dan” Cho School of Electrical Engineering and Computer Science, Seoul National University Micro/Nano Systems & Controls Laboratory Email: [email protected] URL: http://nml.snu.ac.kr

Transcript of ANSYS Simulation (1)ocw.snu.ac.kr/sites/default/files/MATERIAL/2451.pdf · Dong-il “Dan” Cho,...

Page 1: ANSYS Simulation (1)ocw.snu.ac.kr/sites/default/files/MATERIAL/2451.pdf · Dong-il “Dan” Cho, Donghun Kwak 20 Micro/Nano Systems & Controls Lab. 유한요소법의기본개념

ANSYS Simulation (1)

Dong-il “Dan” Cho

School of Electrical Engineering and Computer Science, Seoul National University

Micro/Nano Systems & Controls Laboratory

Email: [email protected]: http://nml.snu.ac.kr

Page 2: ANSYS Simulation (1)ocw.snu.ac.kr/sites/default/files/MATERIAL/2451.pdf · Dong-il “Dan” Cho, Donghun Kwak 20 Micro/Nano Systems & Controls Lab. 유한요소법의기본개념

2Dong-il “Dan” Cho, Donghun KwakMicro/Nano Systems & Controls Lab.

ANSYS의 적용 사례

• Inertial Devices

- Inertial Mass

- Folded spring to provide restoring force

- Acceleration produces deflection

- Deflection measured via change in capacitance of combs

Page 3: ANSYS Simulation (1)ocw.snu.ac.kr/sites/default/files/MATERIAL/2451.pdf · Dong-il “Dan” Cho, Donghun Kwak 20 Micro/Nano Systems & Controls Lab. 유한요소법의기본개념

3Dong-il “Dan” Cho, Donghun KwakMicro/Nano Systems & Controls Lab.

ANSYS의 적용 사례 (cont’d)

SEM Image courtesy of Victor Bright, U Col. Boulder.

• Electro-thermal actuator

Page 4: ANSYS Simulation (1)ocw.snu.ac.kr/sites/default/files/MATERIAL/2451.pdf · Dong-il “Dan” Cho, Donghun Kwak 20 Micro/Nano Systems & Controls Lab. 유한요소법의기본개념

4Dong-il “Dan” Cho, Donghun KwakMicro/Nano Systems & Controls Lab.

Images courtesy of Kionix Inc.

ANSYS의 적용 사례 (cont’d)

• Accelerometer Comb Drive

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5Dong-il “Dan” Cho, Donghun KwakMicro/Nano Systems & Controls Lab.

ANSYS의 적용 사례 (cont’d)

Half model along symmetry plane

• Model of Single Tooth of Comb

Page 6: ANSYS Simulation (1)ocw.snu.ac.kr/sites/default/files/MATERIAL/2451.pdf · Dong-il “Dan” Cho, Donghun Kwak 20 Micro/Nano Systems & Controls Lab. 유한요소법의기본개념

6Dong-il “Dan” Cho, Donghun KwakMicro/Nano Systems & Controls Lab.

ANSYS의 적용 사례 (cont’d)

• Electrostatic Potential Solution of Single Tooth of Comb

Page 7: ANSYS Simulation (1)ocw.snu.ac.kr/sites/default/files/MATERIAL/2451.pdf · Dong-il “Dan” Cho, Donghun Kwak 20 Micro/Nano Systems & Controls Lab. 유한요소법의기본개념

7Dong-il “Dan” Cho, Donghun KwakMicro/Nano Systems & Controls Lab.

ANSYS의 적용 사례 (cont’d)

Analytical Solution: 111.3 pFANSYS Solution: 110.2 pF

• Capacitance of a sphere in free-space

Page 8: ANSYS Simulation (1)ocw.snu.ac.kr/sites/default/files/MATERIAL/2451.pdf · Dong-il “Dan” Cho, Donghun Kwak 20 Micro/Nano Systems & Controls Lab. 유한요소법의기본개념

8Dong-il “Dan” Cho, Donghun KwakMicro/Nano Systems & Controls Lab.

ANSYS의 적용 사례 (cont’d)

• Torsional Resonator - Gyroscope

Page 9: ANSYS Simulation (1)ocw.snu.ac.kr/sites/default/files/MATERIAL/2451.pdf · Dong-il “Dan” Cho, Donghun Kwak 20 Micro/Nano Systems & Controls Lab. 유한요소법의기본개념

9Dong-il “Dan” Cho, Donghun KwakMicro/Nano Systems & Controls Lab.

ANSYS의 적용 사례 (cont’d)

• Torsional Resonator / Gyroscope

Page 10: ANSYS Simulation (1)ocw.snu.ac.kr/sites/default/files/MATERIAL/2451.pdf · Dong-il “Dan” Cho, Donghun Kwak 20 Micro/Nano Systems & Controls Lab. 유한요소법의기본개념

10Dong-il “Dan” Cho, Donghun KwakMicro/Nano Systems & Controls Lab.

ANSYS의 적용 사례 (cont’d)

• Electrostatic Micro Mirror

Page 11: ANSYS Simulation (1)ocw.snu.ac.kr/sites/default/files/MATERIAL/2451.pdf · Dong-il “Dan” Cho, Donghun Kwak 20 Micro/Nano Systems & Controls Lab. 유한요소법의기본개념

11Dong-il “Dan” Cho, Donghun KwakMicro/Nano Systems & Controls Lab.

ANSYS의 적용 사례 (cont’d)

• Inertial Sensor - Accelerometer

Page 12: ANSYS Simulation (1)ocw.snu.ac.kr/sites/default/files/MATERIAL/2451.pdf · Dong-il “Dan” Cho, Donghun Kwak 20 Micro/Nano Systems & Controls Lab. 유한요소법의기본개념

12Dong-il “Dan” Cho, Donghun KwakMicro/Nano Systems & Controls Lab.

ANSYS의 적용 사례 (cont’d)

Images courtesy of Russell DeAnna, NASA.

• Linear Resonator Modal Analysis

Page 13: ANSYS Simulation (1)ocw.snu.ac.kr/sites/default/files/MATERIAL/2451.pdf · Dong-il “Dan” Cho, Donghun Kwak 20 Micro/Nano Systems & Controls Lab. 유한요소법의기본개념

13Dong-il “Dan” Cho, Donghun KwakMicro/Nano Systems & Controls Lab.

ANSYS의 적용 사례 (cont’d)

• Linear resonator / RF FilterElectrostatic Structural Analysis

1/2 symmetry FEA1/2 symmetry FEA18,260 DOF18,260 DOF’’ss

1/2 symmetry substructure 200 DOF’s

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14Dong-il “Dan” Cho, Donghun KwakMicro/Nano Systems & Controls Lab.

ANSYS의 적용 사례 (cont’d)

• Micro Engines & Turbines

- Micro Rotary (Wankel)

- Micro Erickson (Planar) Engines

- Micro Gas turbines (MIT)

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15Dong-il “Dan” Cho, Donghun KwakMicro/Nano Systems & Controls Lab.

ANSYS의 적용 사례 (cont’d)

120 120 µµmm

• Microfluidic Channel - Non Newtonian flow

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16Dong-il “Dan” Cho, Donghun KwakMicro/Nano Systems & Controls Lab.

ANSYS의 적용 사례 (cont’d)

• Microfluidic Valve / Oscillator

Page 17: ANSYS Simulation (1)ocw.snu.ac.kr/sites/default/files/MATERIAL/2451.pdf · Dong-il “Dan” Cho, Donghun Kwak 20 Micro/Nano Systems & Controls Lab. 유한요소법의기본개념

17Dong-il “Dan” Cho, Donghun KwakMicro/Nano Systems & Controls Lab.

End view of rotating mirror Top view of comb drive

• Fluid Structural Damping Characterization

ANSYS의 적용 사례 (cont’d)

Page 18: ANSYS Simulation (1)ocw.snu.ac.kr/sites/default/files/MATERIAL/2451.pdf · Dong-il “Dan” Cho, Donghun Kwak 20 Micro/Nano Systems & Controls Lab. 유한요소법의기본개념

18Dong-il “Dan” Cho, Donghun KwakMicro/Nano Systems & Controls Lab.

ANSYS의 적용 사례 (cont’d)

• Circuit Simulation & Coupling

- Analog FE circuit elements.

- Couples to stranded and massive conductors in the finite element domain, 2D & 3D.

- Complete arbitrary circuit arrangements.

- Static, Harmonic and Transient analysis.

- Calculates circuit parameters (V, I, Power).

Page 19: ANSYS Simulation (1)ocw.snu.ac.kr/sites/default/files/MATERIAL/2451.pdf · Dong-il “Dan” Cho, Donghun Kwak 20 Micro/Nano Systems & Controls Lab. 유한요소법의기본개념

19Dong-il “Dan” Cho, Donghun KwakMicro/Nano Systems & Controls Lab.

ANSYS/Multiphysics Capabilities

• Inertial Devices

• Comb & thermal

Actuators

• Pressure Transducers

• RF Filters - Resonators

• Lab-on-a-chip

• Ink Jet printer

technology

• Micromirror technology

Structural

Fluid

Thermal

Electrostatic

Electrical

Electromagnetic

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20Dong-il “Dan” Cho, Donghun KwakMicro/Nano Systems & Controls Lab.

유한요소법의 기본 개념

• 유한요소법 (finite element method):- 응력해석, 열전달, 전자기, 유체 유동 등의 공학적 문제에 대한 해

를 구하기 위해 사용되는 수치적 방법.

- 물리적인 현상에 대한 수학적인 모델 (미분방정식):

경계조건 (boundary condition)과 초기조건(initial condition)

필요

- 역 사 (history):

» 1900년 초 – 이산화된 등가 탄성봉을 탄성 연속체들로 모델링

하고 근사화

» 1960년 – “유한요소”라는 단어가 대중화 (clough)

» 1967년 – “유한요소법”에 관한 첫번째 책

(Zienkiewicz & Cheung)

» 1971년 – “ANSYS”가 처음으로 배포

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21Dong-il “Dan” Cho, Donghun KwakMicro/Nano Systems & Controls Lab.

유한요소법의 기본 개념 (cont’d)

• 시스템의 거동을 특징짓는 물리적 성질 (1):

Solid Mechanics Examples

Modulus of elasticity, E

Modulus of elasticity, E

Modulus of elasticity, E

Second moment of area, I

Modulus of rigidity, G

Polar moment of inertia of the area, J

Heat Transfer Examples

Thermal conductivity, K

Thermal conductivity, K

Page 22: ANSYS Simulation (1)ocw.snu.ac.kr/sites/default/files/MATERIAL/2451.pdf · Dong-il “Dan” Cho, Donghun Kwak 20 Micro/Nano Systems & Controls Lab. 유한요소법의기본개념

22Dong-il “Dan” Cho, Donghun KwakMicro/Nano Systems & Controls Lab.

유한요소법의 기본 개념 (cont’d)

• 시스템의 거동을 특징짓는 물리적 성질 (2):

Fluid Flow Examples Heat Transfer Examples

Resistance, R

Permeability, μ

Soil permeability, k

Viscosity, μ

Relative roughness, e

Page 23: ANSYS Simulation (1)ocw.snu.ac.kr/sites/default/files/MATERIAL/2451.pdf · Dong-il “Dan” Cho, Donghun Kwak 20 Micro/Nano Systems & Controls Lab. 유한요소법의기본개념

23Dong-il “Dan” Cho, Donghun KwakMicro/Nano Systems & Controls Lab.

유한요소법의 기본 개념 (cont’d)

• 유한요소법의 기본 단계:전처리 단계 (Preprocessor)

1) 해의 영역을 유한 요소로 이산화한다.

: 절점(node)과 요소(element)로 구성

2) 요소에 대한 방정식을 만든다.

3) 요소를 조합(assembly)하여 전체 강성행렬을 만든다.

4) 경계조건, 초기조건, 하중을 부과한다.

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24Dong-il “Dan” Cho, Donghun KwakMicro/Nano Systems & Controls Lab.

유한요소법의 기본 개념 (cont’d)

• 유한요소법의 기본 단계:해 단계 (Solution)

1) 절점에서의 결과를 얻기 위해 선형 또는 비선형 연립 대수 방

정식을 푼다.

후처리 단계 (Postprocessor)

1) 다른 중요 정보를 얻는다.

: 주응력, 열유속 등의 값을 얻는다.

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25Dong-il “Dan” Cho, Donghun KwakMicro/Nano Systems & Controls Lab.

유한요소법의 기본 개념 (cont’d)

• ANSYS에서의 솔리드 모델 구성요소 및 모델 데이터의 계층구조 :

Keypoint Keypoint Keypoint Keypoint

Line Line

Area

Keypoint Keypoint Keypoint Keypoint

Line Line

Area

Volume

(Node)

(Node)

(Node)

(Node)

(Node)

(Node)

(Node)

(Node)

(Element type: Solid 64)

Page 26: ANSYS Simulation (1)ocw.snu.ac.kr/sites/default/files/MATERIAL/2451.pdf · Dong-il “Dan” Cho, Donghun Kwak 20 Micro/Nano Systems & Controls Lab. 유한요소법의기본개념

26Dong-il “Dan” Cho, Donghun KwakMicro/Nano Systems & Controls Lab.

ANSYS 실습

• ANSYS 구동 : “Run Interactive Now” 메뉴를 선택

Page 27: ANSYS Simulation (1)ocw.snu.ac.kr/sites/default/files/MATERIAL/2451.pdf · Dong-il “Dan” Cho, Donghun Kwak 20 Micro/Nano Systems & Controls Lab. 유한요소법의기본개념

27Dong-il “Dan” Cho, Donghun KwakMicro/Nano Systems & Controls Lab.

ANSYS 실습 (cont’d)

• 환경 설정 : “Interactive” 메뉴를 선택

Page 28: ANSYS Simulation (1)ocw.snu.ac.kr/sites/default/files/MATERIAL/2451.pdf · Dong-il “Dan” Cho, Donghun Kwak 20 Micro/Nano Systems & Controls Lab. 유한요소법의기본개념

28Dong-il “Dan” Cho, Donghun KwakMicro/Nano Systems & Controls Lab.

ANSYS 실습 (cont’d)

• ANSYS의 작업창 소개 :도구 메뉴창

단축 버튼창

그래픽출력창

명령 입력창

주메뉴창

결과 출력창

Page 29: ANSYS Simulation (1)ocw.snu.ac.kr/sites/default/files/MATERIAL/2451.pdf · Dong-il “Dan” Cho, Donghun Kwak 20 Micro/Nano Systems & Controls Lab. 유한요소법의기본개념

29Dong-il “Dan” Cho, Donghun KwakMicro/Nano Systems & Controls Lab.

ANSYS 실습 (cont’d)

• 입력창의 사용법:

기존에 입력한명령어들

Page 30: ANSYS Simulation (1)ocw.snu.ac.kr/sites/default/files/MATERIAL/2451.pdf · Dong-il “Dan” Cho, Donghun Kwak 20 Micro/Nano Systems & Controls Lab. 유한요소법의기본개념

30Dong-il “Dan” Cho, Donghun KwakMicro/Nano Systems & Controls Lab.

ANSYS 실습 (cont’d)

• 도구모음상자의 사용법:

각종 단축 버튼활성창의 설정

(1,1,1)인 위치에서의 관측

(1,2,3)인 위치에서의

관측

작업평면 기준

모델이 활성창에딱 맞게 출력

변경전의상태로 회복

마우스를 이용한출력 제어

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31Dong-il “Dan” Cho, Donghun KwakMicro/Nano Systems & Controls Lab.

ANSYS 실습 (cont’d)

• 대회상자의 사용법:

명령수행 후

대화상자 유지

명령수행 후

대화상자 닫힘

Page 32: ANSYS Simulation (1)ocw.snu.ac.kr/sites/default/files/MATERIAL/2451.pdf · Dong-il “Dan” Cho, Donghun Kwak 20 Micro/Nano Systems & Controls Lab. 유한요소법의기본개념

32Dong-il “Dan” Cho, Donghun KwakMicro/Nano Systems & Controls Lab.

ANSYS 실습 (cont’d)

• 도움말 시스템:

Page 33: ANSYS Simulation (1)ocw.snu.ac.kr/sites/default/files/MATERIAL/2451.pdf · Dong-il “Dan” Cho, Donghun Kwak 20 Micro/Nano Systems & Controls Lab. 유한요소법의기본개념

33Dong-il “Dan” Cho, Donghun KwakMicro/Nano Systems & Controls Lab.

ANSYS 실습 (cont’d)

• 도움말 시스템: ‘OK’ button을 눌러 종료