• Title/Summary/Keyword: Newton method

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An efficient 3D inversion of magnetotelluric data

  • Han, Nu-Ree;Choi, Ji-Hyang;Nam, Myung-Jin;Kim, Hee-Joon;Lee, Tae-Jong;Song, Yoon-Ho;Suh, Jung-Hee
    • 한국지구물리탐사학회:학술대회논문집
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    • 2007.06a
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    • pp.261-266
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    • 2007
  • An efficient three-dimensional (3D) inversion of magnetotelluric (MT) data can be carried out by using approximate sensitivities or avoiding the calculation of a full sensitivity matrix. In this paper, we propose approximate sensitivities for efficient 3D MT inversion based on the Gauss-Newton method and test and compare four kinds of sensitivities. Applying the four sensitivities to both synthetic and field data shows that the effects of sensitivities are highly dependent on data and thus applying various combinations of sensitivities is recommended for efficient inversion and good images.

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An Implicit Stress Integration for the Constitutive Relationship of Clays (점토의 구성관계에 대한 내재적인 응력적분)

  • 오세붕
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1998.10a
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    • pp.92-98
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    • 1998
  • Nonlinear finite element analyses of one dimensional consolidation problem were performed using an anisotropic hardening constitutive model. For the analyses, the anisotropic hardening elasto-plastic constitutive model based on the generalized isotropic hardening(GIH) rule was implemented into a nonlinear finite element analysis program, PLASTIC. In order to preserve the accuracy of the finite element solution for nonlinear problems, an implicit stress integration algorithm was employed. A consistent tangent moduli could also ensure the quadratic convergence of Newton's method. As a result, the nonlinear solution was accurately calculated and was converged to be asymptotically quadratic. In a consolidation problem, the relationship between load and settlement and between settlement and time vertical was analyzed comparing with results using the Cam-clay type model and the final consolidation settlement and the duration of primary consolidation could be evaluated rigorously using the GIH constitutive model.

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Prediction of the Forming Limit Diagram for AZ31B Sheet at Elevated Temperatures Considering the Strain-rate Effect (변형률속도 효과를 고려한 AZ31B 판재의 온간 성형한계도 예측)

  • Choi, S.C.;Kim, H.J.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2009.05a
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    • pp.172-175
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    • 2009
  • The purpose of this study is to predict the forming limit diagram (FLD) of strain-rate sensitive materials on the basis of the Marciniak and Kuczynski (M-K) theory. The strain-rate effect is taken into consideration in such a way that the stress-strain curves for various strain-rates are inputted into the formulation as point data, not as curve-fitted models such as power function. To solve the nonlinear system of equations derived from the equilibrium and constraints in the groove region and the safe zone, the Newton-Raphson method is used. The theoretical FLDs using four different yield criteria, that are von Mises, Hill (1948), Hill (1979), Logan and Hosford, are compared with the experimental, numerical (FEA) and other theoretical results. A new trial is made where a modified M-K model having n-step grooves is introduced to describe a real localized neck.

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Thermal Deformation Analysis of Shadow Mask : Temperature Distribution (쉐도우마스크의 열변형 해석 -온도분포)

  • 김현규;천현태;임세영
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.10
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    • pp.2574-2581
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    • 1993
  • A Shadow mask in C. R. T. (Cathod Ray Tube) undergoes a temperature increase due to impinging electron beams emitted from guns, and thermal deformation from such temperature rise may cause the electron beams to island on the panel, and thus give rise to depolarization. Hence the analysis of temperature distribution for a shadow mask is an important procedure for designing the shadow mask. In this paper, we are concerned with nonlinear finite element analysis of the temperature distribution on a shadow mask. First of all, we replace shadow mask, containing numerous apertures of a slit type, by an orthotropic shell without apertures, and calculate the apparent thermal conductivities. Because of thermal radiation, which is one of the major heat transfer mechanism for shadow masks, the resulting finite element equation is nonlinear and solved by the Newton method. Finally numerical examples are illustrated for a 21" FST(Full Square Tube) shadow mask, and followed by discussion.sion.

Modeling of a Greenhouse Equipped with Latent Heat Storage System (잠열축열 장치를 갖춘 온실의 난방 열 특성 예측모형개발)

  • Ro, J.G.;Song, H.K.
    • Journal of the Korean Solar Energy Society
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    • v.21 no.3
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    • pp.51-60
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    • 2001
  • A greenhouse equipped with latent heat storage system was built to obtain various thermal properties, such as greenhouse air temperature, soil surface temperature, energy flow in latent heat storage, etc., which could be used in validation of greenhouse numerical model to be developed in this study. This numerical model expressed with Newton-Raphson method was programed by C-language and utilized to simulate greenhouse thermal behavior. Greenhouse air temperature and soil surface temperature predicted by the greenhouse model developed in this study were very close to the measured data obtained through almost 3 years of experiment. Therefore, it is concluded that the greenhouse model developed and verified by measured data could be utilized for simulating various thermal behaviors of greenhouses equipped with latent heat storage system to be used for energy saving purposes.

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Development of Hydrodynamic Pressure Models with Velocity Projection Method (유속투사법을 이용한 동수압 모형의 개발)

  • Lee, Jin-Woo;Kim, Joo-Young;Lee, Jong-Kyu;Cho, Yong-Sik
    • 한국방재학회:학술대회논문집
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    • 2010.02a
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    • pp.52.2-52.2
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    • 2010
  • 본 연구에서는 자유수면의 계산을 위해 동수압을 해석하는 수치모형을 제시하였다. 동수압과 자유수면을 고려하기 위해, 비점성 Navier-Stokes 방정식을 3단계로 나누어 해석하였다. 제1단계에서는 동수압과 자유수면을 전번 시간단계에서 계산된 값으로 대입하여 차분하였으며 이 차분식은 NGMRES(Newton-Generalized Minimal Residual) 방법을 이용해 음해적으로 해석되었다. 이때 계산된 유속장은 연속방정식을 고려하지 않았으므로 각 계산격자에서 질량보존법칙을 만족하지 않을 수도 있다. 제2단계에서 유속과 동수압 보정항으로 이루어진 식을 연속방정식에 대입하여 얻어지는 타원형 방정식인 동수압-포와송 방정식을 해석하므로 여기서 얻어지는 유속은 질량보존법칙을 만족하게 된다. 마지막 3 단계에서는 자유수면과 최종 유속을 계산하였다. 새로 개발된 수치모형을 검증하기위해 정사각형 탱크에서 수면의 자유 진동 문제에 적용한 결과 수치해는 해석해와 잘 일치하였다.

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Dynamical behavior of the eccentric rotor system using mathematical modeling (동역학적 모델링을 통한 편심 회전체의 거동 해석)

  • 조문갑;조용구;김동원;이정윤;오재응
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2003.05a
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    • pp.313-318
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    • 2003
  • The vibration of washing machine at spinning cycle is important problem that affects the performance of a product. In this raper, the inner structure of the washing machine is modeled as a rigid body suspension system and transfer farce caused by rotating unbalance mass is obtained using Newton's the 2nd law. and this model is used to predict the verge of walking instability during the spinning cycle. The walk of the drum washing machine is suggested by calculating the force transmissibility between drum and the cabinet. As calculating the resultant force exerted for cabinet, the friction coefficient of the pad is suggested to avoid the walk. In addition, relation between translational slip and rotational slip is derived and method to avoid the rotational slip is introduced.

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A Theoretical Investigation on Shakedown Analysis of Framed Structures (강뼈대 구조물의 소성안정 해석에 관한 이론적 연구)

  • Lee, Jong-Seok
    • Journal of Ocean Engineering and Technology
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    • v.2 no.2
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    • pp.71-77
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    • 1988
  • For the collapse of structures due to the variable repeated load, two types of collapse mechanisms, i.e., incremental collapse and alternating plasticity, exist. Under the similar variable repeated loading conditions there exists shakedown state in the structures. In shakedown state, the number of plastic hinges are not increased and all further loading will be resulted in the elastic moment changes. Namely, under the shakedown state, structures do not collapse. In this investigation, shakedown analysis are performed by composing new computer programs. Basic theories employed to compose the programs are as follows. 1. Newton-Raphson methods are added to the existing matrix method for the plastic analysis. 2. An effort to construct the stiffness of axial and bending springs attached at both ends of the member has been made. By using the programs developed, it is possible to anticipate the collapse mechanisms (Incremental collapse, alternating plasticity). Lastly for the verification of performance of the program, demonstration examples have been solved and the results are compared with other sources.

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3D Finite Element Analysis of Nonlinear Magnetostatic Problem Using the Transmission Line Modeling(TLM) Method (TLM법을 이용한 3차원 비선형 정자계 해석)

  • Im, Chang-Hwan;Kim, Hong-Hyu;Jung, Hyun-Kyo
    • Proceedings of the KIEE Conference
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    • 1999.07a
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    • pp.70-72
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    • 1999
  • 일반적으로 비선형 정자계 문제를 해석하기 위해서 뉴튼-�N슨(Newton -Raphson : NR)법이 이용된다. 하지만 뉴튼-�N슨법의 경우 각 반복계산 때마다 새로운 선형 시스템의 해를 구하기 위해서 LU-decomposition과 같은 과정을 매 반복계산 때마다 시행해야 하므로 절점(node)의 수가 증가할 경우 계산시간이 증가한다는 단점이 있다. 이러한 단점을 보완하기 위해서 최근 TLM (Transmission Line Modeling)법이 새로운 반복계산법으로 비선형 유한 요소 해석에 적용되었으며 뉴튼-�N슨법에 비해 훨씬 우수한 특성을 보여주었다. 하지만 지금까지의 TLM법은 2차원의 정식화만 이루어졌고 3차원에는 적용되지 못한 것이 사실이다. 본 논문에서는 3차원의 비선형 정자계 문제에 TLM법을 적용할 수 있는 수식을 최초로 제안하며 3차원 코어(core)모델에 대해 TLM법을 적용하여 그 타당성을 검증하기로 한다. 또한 3차원 비선형 TLM법을 이용한 해석 결과가 뉴튼-�N슨법에 의한 결과와 완전히 일치하며 수렴 속도에 있어서도 훨씬 향상된 결과를 나타냄을 보이도록 하겠다.

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Practical application of NDPF solution in power system analysis (전력계통해석을 위한 Non-Divergent 조류계산의 실용적 적용)

  • Kook, Kyung-Soo;Lee, J.H.;Moon, Young-Hwan;Kim, Ho-Yong;Oh, Tae-Kyoo
    • Proceedings of the KIEE Conference
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    • 2003.07a
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    • pp.136-138
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    • 2003
  • This paper describes the practical application of Non-Divergent Power Flow (NDPF) solution in power system analysis. NDPF algorithm prevents the power flow solution from diverging due to the arithmetic error in Newton method, and indicates voltage collapse point. In addition to that, NDPF solution provides us with useful information for evaluating voltage profile in such cases.

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