• 제목/요약/키워드: Numerical Perturbation

검색결과 407건 처리시간 0.024초

경계요소법(境界要素法)을 이용한 중복파(重複波)의 재현(再現) (Simulation of Standing Wave using Boundary Element Method)

  • 오영민;이길성;전인식
    • 대한토목학회논문집
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    • 제14권6호
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    • pp.1445-1451
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    • 1994
  • 해안구조물에 작용하는 설계파압(設計波壓)을 수치적으로 계산하기 위해서는 먼저 쇄파한계(碎波限界)에 가까운 큰 중복파랑을 수치적으로 재현할 필요가 있다. 이를 위해서는 지배방정식(支配方程式)과 비선형항(非線形項)을 포함하는 경계조건을 효과적으로 반영해야 하며 특히, 자유표면(自由表面) 경계조건(境界條件)에서의 속도의 제곱항의 처리가 중요하다. 본 연구에서는 Newton 방법을 이용하여 제곱항을 충실히 반영하므로써 일반적인 셜계파 성향에 거의 상응하는 중복파랑을 재현하였으며 기존의 섭동법(攝動法) 또는 Fourier 전개 기법 및 수리실험 결과와 비교하여 그 정확도를 검토하였다.

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두께가 일정하지 않은 재료에서 경사진 균열의 성장거동에 관한 연구 (A Study on the Crack Growth Behavior of a Inclined Crack in a Non-Uniform Thickness Material)

  • 조명래;표창률;박종주;고명훈
    • 한국안전학회지
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    • 제12권4호
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    • pp.27-38
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    • 1997
  • The effect of geometry factors on the combined mode stress intensity factor behaviors of a slant crack in a non-uniform thickness material was analysed by 2-dimensional theoretical analysis. The analysis is based on the Laurent's series expansions of complex potentials where the complex coefficients of the series are determined from the compatibility and the equilibrium conditions of the thickness interface and the stress free conditions of the crack surface. In numerical calculations the perturbation technique is employed. The expressions for the crack tip stress intensity factor are given in the form of power series of dimensionless crack length $\lamda$, and the function of crack slant angle $\alpha$ and thickness ratio $\beta$. The results of numerical calculations for each problems are represented as the correction factors F($\lamda$, $\alpha$, $\beta$). The results clearly show the following characteristics : The correction factors of the combined mode stress intensity factors for a non-uniform thickness material can be defined in the form of F($\lamda$, $\alpha$, $\beta$). The stress intensity factor values for a given crack length are decreased with increase of thickness ratio $\beta$.

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Comparison of different cylindrical shell theories for stability of nanocomposite piezoelectric separators containing rotating fluid considering structural damping

  • Pour, H. Rahimi;Arani, A. Ghorbanpour;Sheikhzadeh, G.A.
    • Steel and Composite Structures
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    • 제23권6호
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    • pp.691-714
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    • 2017
  • Rotating fluid induced vibration and instability of embedded piezoelectric nano-composite separators subjected to magnetic and electric fields is the main contribution of present work. The separator is modeled with cylindrical shell element and the structural damping effects are considered by Kelvin-Voigt model. Single-walled carbon nanotubes (SWCNTs) are used as reinforcement and effective material properties are obtained by mixture rule. The perturbation velocity potential in conjunction with the linearized Bernoulli formula is used for describing the rotating fluid motion. The orthotropic surrounding elastic medium is considered by spring, damper and shear constants. The governing equations are derived on the bases of classical shell theory (CST), first order shear deformation theory (FSDT) and sinusoidal shear deformation theory (SSDT). The nonlinear frequency and critical angular fluid velocity are calculated by differential quadrature method (DQM). The detailed parametric study is conducted, focusing on the combined effects of the external voltage, magnetic field, visco-Pasternak foundation, structural damping and volume percent of SWCNTs on the stability of structure. The numerical results are validated with other published works as well as comparing results obtained by three theories. Numerical results indicate that with increasing volume fraction of SWCNTs, the frequency and critical angular fluid velocity are increased.

Analysis of alpha modes in multigroup diffusion

  • Sanchez, Richard;Tomatis, Daniele;Zmijarevic, Igor;Joo, Han Gyu
    • Nuclear Engineering and Technology
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    • 제49권6호
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    • pp.1259-1268
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    • 2017
  • The alpha eigenvalue problem in multigroup neutron diffusion is studied with particular attention to the theoretical analysis of the model. Contrary to previous literature results, the existence of eigenvalue and eigenflux clustering is investigated here without the simplification of a unique fissile isotope or a single emission spectrum. A discussion about the negative decay constants of the neutron precursors concentrations as potential eigenvalues is provided. An in-hour equation is derived by a perturbation approach recurring to the steady state adjoint and direct eigenvalue problems of the effective multiplication factor and is used to suggest proper detection criteria of flux clustering. In spite of the prior work, the in-hour equation results give a necessary and sufficient condition for the existence of the eigenvalue-eigenvector pair. A simplified asymptotic analysis is used to predict bands of accumulation of eigenvalues close to the negative decay constants of the precursors concentrations. The resolution of the problem in one-dimensional heterogeneous problems shows numerical evidence of the predicted clustering occurrences and also confirms previous theoretical analysis and numerical results.

A new conjugate gradient method for dynamic load identification of airfoil structure with randomness

  • Lin J. Wang;Jia H. Li;You X. Xie
    • Structural Engineering and Mechanics
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    • 제88권4호
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    • pp.301-309
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    • 2023
  • In this paper, a new modified conjugate gradient (MCG) method is presented which is based on a new gradient regularizer, and this method is used to identify the dynamic load on airfoil structure without and with considering random structure parameters. First of all, the newly proposed algorithm is proved to be efficient and convergent through the rigorous mathematics theory and the numerical results of determinate dynamic load identification. Secondly, using the perturbation method, we transform uncertain inverse problem about force reconstruction into determinate load identification problem. Lastly, the statistical characteristics of identified load are evaluated by statistical methods. Especially, this newly proposed approach has successfully solved determinate and uncertain inverse problems about dynamic load identification. Numerical simulations validate that the newly developed method in this paper is feasible and stable in solving load identification problems without and with considering random structure parameters. Additionally, it also shows that most of the observation error of the proposed algorithm in solving dynamic load identification of deterministic and random structure is respectively within 11.13%, 20%.

정상 및 비정상 유동중 덕트 프로펠러의 성능해석 (Steady/Unsteady Analysis of Ducted Propellers by Using a Surface Panel Method)

  • 김광;표상우;서정천
    • 대한조선학회논문집
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    • 제36권1호
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    • pp.30-36
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    • 1999
  • 본 논문에서는 교란 포텐셜을 기저로 하는 패널방법을 사용하여 정상 및 비정상 유동중의 덕트 프로펠러 성능해석을 수행하였다. 경계면은 쌍곡면패널로 이산화하였으며, 각 경계조건은 패널의 중심점에 적용하였고 Kutta조건의 수렴성 향상을 위해 Suh[1]의 방법을 사용하였다. 후류면의 위치계산을 위하여 덕트의 영향을 고려한 비선형 모델을 사용하였다. 비정상 유동중 해석은 시간영역에서 수행하였다. 수치적인 검증은 정상 및 비정상 유동중에 대해서 이루어졌으며 개발된 프로그램이 좋은 수렴성을 가지고 있음을 확인하였다. 날개와 덕트의 간격에 따른 날개의 순환분포 변화를 보였으며 No.19a 덕트를 갖는 Ka4-70 날개(피치비 1.2)에 대해 실험값과 개발된 프로그램의 수치결과를 비교하였다. 비교결과 실험값과 계산값은 좋은 일치를 보이고 있음을 확인하였다.

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Semi-Analytical Methods for Different Problems of Diffraction-Radiation by Vertical Circular Cylinders

  • Malenica, Sime
    • International Journal of Ocean System Engineering
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    • 제2권2호
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    • pp.116-138
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    • 2012
  • As in the other fields of mechanics, analytical methods represent an important analysis tool in marine hydrodynamics. The analytical approach is interesting for different reasons : it gives reference results for numerical codes verification, it gives physical insight into some complicated problems, it can be used as a simplified predesign tool, etc. This approach is of course limited to some simplified geometries (cylinders, spheres, ...), and only the case of one or more cylinders, truncated or not, will be considered here. Presented methods are basically eigenfunction expansions whose complexity depends on the boundary conditions. The hydrodynamic boundary value problem (BVP) is formulated within the usual assumptions of potential flow and is additionally simplified by the perturbation method. By using this approach, the highly nonlinear problem decomposes into its linear part and the higher order (second, third, ...) corrections. Also, periodicity is assumed so that the time dependence can be factorized i.e. the frequency domain formulation is adopted. As far as free surface flows are concerned, only cases without or with small forward speed are sufficiently simple to be solved semi-analytically. The problem of the floating body advancing in waves with arbitrary forward speed is far more complicated. These remarks are also valid for the general numerical methods where the case of arbitrary forward speed, even linearized, is still too difficult from numerical point of view, and "it is fair to say that there exists at present no general practical numerical method for the wave resistance problem" [9], and even less for the general seakeeping problem. We note also that, in the case of bluff bodies like cylinders, the assumptions of the potential flow are justified only if the forward speed is less than the product of wave amplitude with wave frequency.

시공단계별 영향을 고려한 터널 전력구의 유한요소해석 (Finite Element Analysis of Underground Electrical Power Cable Structures Considering the Effects of Construction Sequence)

  • 김선훈
    • 한국전산구조공학회논문집
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    • 제26권2호
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    • pp.147-155
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    • 2013
  • 본 논문에서는 도심지 지하에 터널 전력구를 건설하는 경우 시공단계별 영향을 고려한 구조해석을 수행하였다. 해석대상의 도심지 지하에는 여러 종류의 다양한 라이프라인 구조체가 설치되어 있다. 터널전력구의 구조해석에는 지반체의 유한요소해석 프로그램인 MPDAP을 사용하였다. 라이프라인 구조체와 터널 전력구 사이의 이격거리가 가장 작은 대표적인 3개의 단면에 대하여 구조해석을 수행하였다. 터널의 굴착단계별 유한요소해석에서 발생되는 평형불균형성 문제는 평형섭동개념을 적용하여 해결하였다. 또한 터널 굴착에 의한 시간의존 변형의 영향은 하중분담율을 사용하여 시공단계별로 고려하였다. 본 연구에서 검토한 3개의 대표단면에서는 터널 전력구 주변 지반체에서 발생하는 최대변위값은 허용변위값이내를 보여주었다.

로렌쯔-95 모델을 이용한 앙상블 섭동 비교: 브레드벡터, 직교 브레드벡터와 앙상블 칼만 필터 (Comparison of Ensemble Perturbations using Lorenz-95 Model: Bred vectors, Orthogonal Bred vectors and Ensemble Transform Kalman Filter(ETKF))

  • 정관영;바커 데일;문선옥;전은희;이희상
    • 대기
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    • 제17권3호
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    • pp.217-230
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    • 2007
  • Using the Lorenz-95 simple model, which can simulate many atmospheric characteristics, we compare the performance of ensemble strategies such as bred vectors, the bred vectors rotated (to be orthogonal to each bred member), and the Ensemble Transform Kalman Filter (ETKF). The performance metrics used are the RMSE of ensemble means, the ratio of RMS error of ensemble mean to the spread of ensemble, rank histograms to see if the ensemble member can well represent the true probability density function (pdf), and the distribution of eigen-values of the forecast ensemble, which can provide useful information on the independence of each member. In the meantime, the orthogonal bred vectors can achieve the considerable progress comparing the bred vectors in all aspects of RMSE, spread, and independence of members. When we rotate the bred vectors for orthogonalization, the improvement rate for the spread of ensemble is almost as double as that for RMS error of ensemble mean compared to the non-rotated bred vectors on a simple model. It appears that the result is consistent with the tentative test on the operational model in KMA. In conclusion, ETKF is superior to the other two methods in all terms of the assesment ways we used when it comes to ensemble prediction. But we cannot decide which perturbation strategy is better in aspect of the structure of the background error covariance. It appears that further studies on the best perturbation way for hybrid variational data assimilation to consider an error-of-the-day(EOTD) should be needed.

예혼합실을 갖는 연소-노즐 시스템의 음향장 해석 (Acoustic Field Analysis of a Combustor-nozzle System with a Premixing Chamber)

  • 윤명곤;김진아;김대식
    • 한국추진공학회지
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    • 제21권5호
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    • pp.46-53
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    • 2017
  • 본 논문은 "예혼합실+노즐+연소실"의 3단으로 구성된 예혼합 가스터빈 연소기의 열음향모델을 제시한다. 음향장의 동적특성은 화염섭동을 입력으로 화염면에서의 속도를 출력으로 하는 음향전달함수로 표현되었다. 음향전달함수의 극점들을 분석함으로서 음향장의 공진주파수는 각 단 사이의 면적비, 그리고 음향파가 각 단을 왕복 운동하는 3개 주파수들의 조합으로 주어짐을 보였다. 극점을 나타내는 함수의 형태를 분석하여 3단 연소기의 여러 파라미터가 변함에 따라서 공진주파수가 어떻게 변하는가에 대하여 해석적으로 분석하였고 문헌의 실험결과와 일치함을 확인하였다.