• 제목/요약/키워드: Finite difference sensitivity

검색결과 156건 처리시간 0.035초

무요소법을 이용한 균열진전 문제의 형상 최적설계 (Shape Design Optimization of Crack Propagation Problems Using Meshfree Methods)

  • 김재현;하승현;조선호
    • 한국전산구조공학회논문집
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    • 제27권5호
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    • pp.337-343
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    • 2014
  • 본 논문에서는 재생 커널 기법을 사용하여 혼합모드 균열진전 문제에 대한 연속체 기반의 형상 설계민감도 해석을 수행하였다. 재생 커널 기법은 기존의 유한요소법과 달리 요소망을 재구성할 필요가 없어, 커널 함수의 연속성을 증가시켰을 때 높은 정밀도의 형상함수를 얻을 수 있다는 장점을 가지고 있다. 균열선단 주변에서 J-적분을 수행하기 위해 선형탄성 조건이 고려되었다. 변위장과 응력 확대 계수의 설계변수에 대한 감도해석을 위하여 물질도함수를 도입하였으며 직접 미분법보다 효율적인 애조인 방법을 사용하여 설계민감도를 유도하였다. 수치 예제들을 통해서 재생 커널 기법을 이용한 균열진전 해석결과의 타당성을 확인하였으며 애조인 방법을 이용한 형상 설계민감도 해석 결과를 유한차분법과 비교하여 매우 정확하고 효율적인 결과를 얻을 수 있음을 알 수 있었다. 이를 바탕으로 간단한 모델에 대하여 형상 최적설계를 수행하여 균열이 발생될 수 있는 구조물에 대해서 균열에 의한 피해를 최소화할 수 있도록 균열을 제어할 수 있는 최적의 형상을 도출하였다.

고주파수 파워흐름 문제의 아이소-지오메트릭 형상 최적설계 (Isogeometric Shape Design Optimization of Power Flow Problems at High Frequencies)

  • 윤민호;하승현;조선호
    • 한국전산구조공학회논문집
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    • 제27권3호
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    • pp.155-162
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    • 2014
  • 본 논문에서는 아이소-지오메트릭 해석법을 이용하여 고주파수를 가지는 파워흐름 문제에 대하여 연속체 기반 형상 최적 설계를 수행하였다. 아이소-지오메트릭 기법을 형상 최적설계에 적용하면, CAD 기하 모델링에서 쓰이던 NURBS 기저 함수가 직접 쓸 수 있기에 정확한 기하학 정보가 수치계산에서 고려되고, 이에 따라 형상 최적설계 관점에서 볼 때, 전통적인 유한요소법에 비해 향상되고 부드러운 설계 섭동량을 가지는 설계 매개화가 가능하게 된다. 즉, 정확한 기하 모델이 응답 해석과 설계민감도 해석에 쓰이게 되고, 이에 따라 설계영역 전체에서 법선 벡터와 곡률이 연속적으로 되게 된다. 결과적으로 정밀한 민감도 해석이 가능하게 된다. 몇 가지 수치예제를 통하여 개발된 아이소-지오메트릭 설계민감도가 유한차분 설계민감도와 비교하여 정확성을 확인할 수 있었으며, 형상 최적설계 문제를 통해서 본 방법론을 적용하여 검증하였다.

고온초전도 솔레노이드의 임계전류 향상을 위한 형상 최적화 (Shape Optimization to Improve the Critical Current of HTS Solenoid)

  • 강준선;이준호;나완수;박일한;권영길;손명환;김석환
    • 한국초전도저온공학회:학술대회논문집
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    • 한국초전도저온공학회 2002년도 학술대회 논문집
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    • pp.274-276
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    • 2002
  • To enhance the critical current of superconducting coil, the magnetic field experienced by superconductors in a coil should be minimized. This is true for both low $T_{c}$ and high $T_{c}$ superconductors, and the difference between the two lays in their isotropic/an-isotropic characteristics. In this paper, we propose a shape optimization algorithm to reduce radial magnetic field components in HTS solenoid to enhance the critical current of a solenoid. In the algorithm, finite element method and continuum shape design sensitivity formula were employed. The objective function is to minimize the maximum radial magnetic fields in a solenoid with a constraint of constant solenoid volume condition. In this paper, the details on algorithm are introduced and the calculated optimized shapes are presented.

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Optimum Tire Contour Design Using Systematic STOM and Neural Network

  • Cho, Jin-Rae;Jeong, Hyun-Sung;Yoo, Wan-Suk;Shin, Sung-Woo
    • Journal of Mechanical Science and Technology
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    • 제18권8호
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    • pp.1327-1337
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    • 2004
  • An efficient multi-objective optimization method is presented making use of neural network and a systematic satisficing trade-off method (STOM), in order to simultaneously improve both maneuverability and durability of tire. Objective functions are defined as follows: the sidewall-carcass tension distribution for the former performance while the belt-edge strain energy density for the latter. A back-propagation neural network model approximates the objective functions to reduce the total CPU time required for the sensitivity analysis using finite difference scheme. The satisficing trade-off process between the objective functions showing the remarkably conflicting trends each other is systematically carried out according to our aspiration-level adjustment procedure. The optimization procedure presented is illustrated through the optimum design simulation of a representative automobile tire. The assessment of its numerical merit as well as the optimization results is also presented.

조합하중이 작용하는 복합적층 패널의 최소중량화설계 (Minimum Weight Design of Laminated Composite Panel under Combined Loading)

  • 이종선
    • 한국공작기계학회논문집
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    • 제15권1호
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    • pp.95-101
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    • 2006
  • Minimum weight design of laminated composite panel under combined loading was studied using linear and nonlinear deformation theories and by closed-form analysis and finite difference energy methods. Various buckling load factors are obatined for laminated composite panels with rectangular type longitudinal stiffeners and various longitudinal length to radius ratios, which are made from Carbon/Epoxy USNl25 prepreg and are simply-supported on four edges under combined loading, and then for them, minimum weight design analyses are carried out by the nonlinear search optimizer, ADS. This minimum weight design analyses are constructed with various process such as the simple design process, test simulation process and sensitivity analysis. Subseguently, the buckling mode shapes are obtained by buckling and minimum weight analyses.

유한차분 감도해석법을 이용한 판의 구조동특성 변경 (Structural Dynamic Modification of Plate using Finite Difference Sensitivity Method)

  • 유성근;장경진;박영필
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 1996년도 춘계학술대회논문집; 부산수산대학교, 10 May 1996
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    • pp.335-341
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    • 1996
  • 유한차분 감소를 이용한 감도해석 및 구조변경 프로그램을 개발하고 수치해석을 수행하여 다음과 같은 결론을 얻었다. 1) 유한요소 모델로부터 얻은 유한차분감도를 이용한 결과가 미분을 이용한 감도해석법의 결과에 비해 큰 차이없이 타당한 결과를 제시하여 주는 것을 확인하였다. 2) 복잡한 판구조물의 형상을 등가의 동특성을 갖는 보를 이용하여 모델링하고, 보의 단면치수를 설계변수로하여, 구조변경을 수행함으로써 효율적인 해석을 수행하였다. 3) 혀상이 복잡한 판 구조물의 형상 및 치수등 비선형적인 요소의 변경으로 인한 구조변경시 유한차분 감도 해석법을 이용한 구조변경이 좋은 결과를 나타내는 것을 확인하였고, 이로써 유한차분을 이용한 감도해석법이 형상최적화(shape optimization)에 적합한 방법임을 알 수 있었다.

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Base Plate 연구를 통한 냉장고 진동 저감 방안 고찰 (A study on the Base Plate to reduce vibration for Refrigerator)

  • 김정선;;국정환;왕세명;이동현
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2007년도 춘계학술대회논문집
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    • pp.340-343
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    • 2007
  • In this paper, we present our method to reduce vibration of the base plate of a refrigerator by avoiding resonance between base plate and compressor operation. To verify the modes of the base plate, FE models of the base plate with free-free condition and applied boundary condition were built and validated by results from experimental modal analysis. Operating Deflection Shape analysis was applied to find the sensitive area on the base plate during compressor operation. In optimization process, Finite Difference Method - based sensitivity analysis is used to detect the most sensitive area. Finally, based on this numerical result, we will make beads on the base plate to reduce vibration of refrigerator.

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산화아연을 이용한 나노격자 구조의 표면 플라즈몬 공명 (Surface Plasmon Resonance Based on ZnO Nano-grating Structure)

  • 김두근;김선훈;기현철;김회종;오금윤;최영완
    • 전기학회논문지
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    • 제59권5호
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    • pp.922-926
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    • 2010
  • We have investigated the grating coupled surface plasmon resonance (GC-SPR) sensors using ZnO nano-grating structures to enhance the sensitivity of an SPR sensor. The GC-SPR sensors were analyzed using the finite-difference time-domain method. The optimum resonance angles of 49 degrees are obtained in the 150 nm wide grating structure with a period of 300 nm for the ZnO thickness of 30 nm. Then, the ZnO nano-grating patterns were fabricated by using laser interference lithography. The measured resonance angle of nano-grating patterns was around 49 degrees. Here, an enhanced evanescent field is obtained due to the surface plasmon on the edge of the bandgap when the ZnO grating structures are used to excite the surface palsmon.

진동형 미세구조 각속도 센서의 공진 특성 해석 및 설계 (design and Resonant Characteristics Analysis of a Vibrating Angular Rate Senser of Microstructure)

  • 홍윤식
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1996년도 춘계학술대회 논문집
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    • pp.156-160
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    • 1996
  • A vibrating angular rate sensor with tuning fork type resonator of microstructure (940*820 .mu. m$^{2}$) was designed and will be fabricated by polysilicon surface micromaching. The angular rate sensor is driven in a lateral direction by electrostatic force of comb drive electrodes, and vertical vibrations of the sensor, thich is detected capacitively, are produced by Coriolis forces due to an external angular rate. Mechanical Q factors and a difference between the frequencies of the two resonant modes, the driving mode and detecting mode, play a great role in increasing the sensitivity of the sensor. To be a highly sensitive sensor, it was designed to have as small frequency discrepancy of the two resonant modes as possible. Finite element method was used for the modal analysis. Several design parameters were selected and their contributions to the modal frequencies were investigated. A method was presented for tuning the detecting mode frequency by DC bias on the drive electrodes.

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Modified gradient methods hybridized with Tikhonov regularization for damage identification of spatial structure

  • Naseralavi, S.S.;Shojaee, S.;Ahmadi, M.
    • Smart Structures and Systems
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    • 제18권5호
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    • pp.839-864
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    • 2016
  • This paper presents an efficient method for updating the structural finite element model. Model updating is performed through minimizing the difference between the recorded acceleration of a real damaged structure and a hypothetical damaged one. This is performed by updating physical parameters (module of elasticity in this study) in each step using iterative process of modified nonlinear conjugate gradient (M-NCG) and modified Broyden-Fletcher-Goldfarb-Shanno algorithm (M-BFGS) separately. These algorithms are based on sensitivity analysis and provide a solution for nonlinear damage detection problem. Three illustrative test examples are considered to assess the performance of the proposed method. Finally, it is demonstrated that the proposed method is satisfactory for detecting the location and ratio of structural damage in presence of noise.