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P-기법을 이용한 터보분자펌프 로터의 구조해석 및 형상최적설계
원보름(Bo Reum Won),강현수(Hyun Su Kang),한정삼(Jeong Sam Han) 대한기계학회 2012 대한기계학회 춘추학술대회 Vol.2012 No.11
A turbomolecular pump (TMP) is one of the most frequently used one to generate and maintain high and clean vacuum in recent times. Because of the high-speed rotation of the rotor, its structural safety should be treated as the first concern for the design. This paper studies the structural analysis and optimization for rotor blades of a TMP. In order to increase the numerical efficiency in the finite element modeling and analysis, the P-method provided in Pro/ENGINEER was used for simulation. Structural responses for several types of rotor blades were investigated and the effects of the angle of blades, the length of blades, and the size of rounds are thoroughly studied for each type of the TMP blade. In addition, structural optimization to reduce and even the maximum stress at each stage of the TMP by changing the size of rounds between the blade and hub was performed very successfully with the P-method.
원보름(Bo Reum Won),한정삼(Jeong Sam Han) 대한기계학회 2013 대한기계학회 춘추학술대회 Vol.2013 No.12
Model order reduction methods enable one to perform finite element analysis with a large-size system. Therefore, these method has been steadily studied in electronic and mechanical engineering. In this paper, we compare two methods of projection based model order reduction techniques. Krylov subspace based method(KSM) and modal truncation method(MTM) were discussed in terms of accuracy and efficiency for frequency response problems.
P-기법을 이용한 터보분자펌프 로터의 구조해석 및 형상최적설계
원보름(Bo Reum Won),정해영(Hae Young Jung),한정삼(Jeong Sam Han) 대한기계학회 2013 大韓機械學會論文集A Vol.37 No.10
터보분자펌프는 회전하는 로터 블레이드의 고속회전을 통해 진공을 생성하는 고진공, 고청정 펌프로 로터의 고속회전에 따른 구조적 안전성이 우선 평가되어야 한다. 본 논문에서는 터보분자펌프의 배기성능 및 구조적 안전성에 영향을 미치는 인자 중에서 블레이드 각도, 길이, 블레이드가 시작되는 부분의 라운드 크기, 회전속도를 선정하여 그들의 변화에 대한 변위 및 응력 응답을 관찰하는 민감도 평가 및 최적설계를 수행하였다. 일반적인 유한요소해석기법인 H-기법이 아닌 형상요소해석기법인 P-기법을 사용함으로써 복잡한 형상의 유한요소생성 모델링 시간을 단축시켜 해석의 효율성을 높일 수 있었다. In recent times, turbomolecular pumps (TMPs) have been used frequently to generate and maintain high and clean vacuum. Because of the high-speed rotation of the rotor, its structural safety should be treated as the first design concern. This paper presents the structural analysis and optimization of rotor blades of a TMP. To increase the numerical efficiency in the finite element modeling and analysis, the P-method provided in Pro/ENGINEER was used for simulation. The structural responses for several types of rotor blades were investigated, and the effects of the blade angle, blade length, and round size are thoroughly studied for each type of TMP blade. In addition, structural optimization to reduce and even the maximum stress at each stage of the TMP by changing the size of rounds between the blade and the hub was performed very successfully by using the P-method.
원보름(Bo Reum Won),한정삼(Jeong Sam Han) 대한기계학회 2014 大韓機械學會論文集A Vol.38 No.9
본 논문에서는 대표적 투영기반 모델차수축소법인 크리로프 부공간 모델차수축소법(KSM)과 모드중첩법(MTM)을 고려하여 주파수응답해석에 대한 수치적 정확도와 효율성을 비교하였다. 두 모델차수축소법의 수치 정확도 비교를 위하여 주파수응답해석 결과, 축소차수 및 관심주파수에 따른 상대오차를 고려하였으며 이후에 오차수렴지표를 통한 자동적인 축소차수의 결정이 가능 여부를 확인하였다. 효율성 비교를 위해서는 각 축소모델의 주파수응답 해석시간 및 축소차수에 따른 변환행렬 생성시간을 비교하였다. 자동차 현가장치에 대한 유한요소모델을 적용예제로 선정하여 수치 비교를 수행하였다. This paper provides a comparison between the Krylov subspace method (KSM) and modal truncation method (MTM), which are typical projection-based model order reduction methods. The frequency responses are compared to determine the numerical accuracies and efficiencies. In order to compare the numerical accuracies of the KSM and MTM, the frequency responses and relative errors according to the order of the reduced model and frequency of interest are studied. Subsequently, a numerical examination shows whether a reduced order can be determined automatically with the help of an error convergence indicator. As for the numerical efficiency, the computation time needed to generate the projection matrix and the solution time to perform a frequency response analysis are compared according to the reduced order. A finite element model for a car suspension is considered as an application example of the numerical comparison.