• 한국정밀공학회지
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• 제25권9호
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• pp.95-102
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• 2008

A miniature metal bellows is used to minimize the excessive flow of the cryogenic gas in Joule-Thomson micro cryocooler. It is made of metal alloy and its geometry is axisymmetric. The bellows is filled with high pressure gas. It contracts or expands in the axial direction for a wide change of temperature, because the pressure and volume inside the bellows must be satisfied with state equation of the gas. Therefore, in order to design the bellows in Joule-Thomson micro-cryocooler, it is important to evaluate deformation of the bellows under internal pressure exactly. Considering geometric nonlinearity, deformations analysis of the bellows were obtained by a commercial finite element code ANSYS, The bellows was modeled by 3-node axisymmetric shell elements with reduced integration. Experiments were also performed to prove the validity of proposed numerical analysis. The results by numerical analysis and experiments were shown in good agreements.

• 한국정밀공학회지
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• 제26권10호
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• pp.81-88
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• 2009

Bellows is used to control temperature of a Joule-Thomson micro cryocooler. It is made of Nickelcobalt alloy that retains mechanical properties from cryogenic temperature to temperature of 570K. The geometry of bellows is an axisymmetric shell and Nitrogen with high pressure was charged at temperature of 293K. During cool-down process, the pressure and volume of Nitrogen are changed and must be satisfied with state equation. At cryogenic temperature, Nitrogen can exist as a part liquid and part vapor. Pressure-density-temperature behavior under this vaporliquid phase equilibrium is closely given by the Modified-Benedict-Webb-Rubin(MBWR) state equation. To evaluate deformation of bellows for temperature change, the numerical calculation of the volume within bellows and finite element analysis of bellows under internal pressure were iteratively performed until MBWR state equation is satisfied. The numerical results show that deformation of the bellows can be analyzed by the present method in a wide range of temperature including cryogenic temperature.

• 대한기계학회논문집A
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• 제39권4호
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• pp.429-435
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• 2015

벨로우즈는 줄-톰슨 소형 극저온 냉각기에서 온도조절장치로 사용하는 중요한 부품이다. 벨로우즈는 매우 얇은 쉘로 제작되었으며 내부는 질소기체로 충전되어 있다. 또한 재료는 니켈-코발트 합금이며 이 재질은 $300^{\circ}C$에서 극저온까지 탄성계수와 강도가 변하지 않는 금속이다. 벨로우즈 내부의 기체는 온도가 바뀌면 기체의 압력과 부피가 변하고 결과적으로 벨로우즈가 길이 방향으로 수축 또는 팽창한다. 이 현상을 해석하기 위하여 주어진 온도에서 기체의 상태방정식이 만족될 때까지 수정된 압력하에서 벨로우즈의 변형과 변형된 내부 체적을 반복적으로 계산하였다. 현 연구에서 기체의 온도-부피-압력 상태를 정의하는 식으로 MBWR 상태 방정식이 채택되었다. 제안한 해석 방법론의 타당성을 증명하기 위하여 실험을 수행하였고 비교결과 수치 해는 실험값과 잘 일치하였다.