• Title/Summary/Keyword: 뉴튼-랩슨 법

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Nonlinear Analysis of Dynamics of Beams with Special Boundary Conditions (특이 경계 조건을 갖는 보의 동적 비선형 해석)

  • 김정운;권영두
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.3
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    • pp.799-808
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    • 1991
  • 본 연구에서는 연속체 역학의 에너지 원리에서 출발하여, 동적 비선형 해석을 위한 유한요소 식들을 유도하고, 이를 이용하여 특이 경계조건을 갖는 고체의 대변위 동적 선형 현상과 비선형 현상에 관하여 연구하고자 한다.

Analysis of the 3-Phase Transformer Considering the Anisotropic Property (이방성을 고려한 삼상변압기의 특성해석)

  • Lee, C.H.;Kim, H.K.;Jung, H.K.;Hong, S.K.
    • Proceedings of the KIEE Conference
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    • 1997.07a
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    • pp.267-269
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    • 1997
  • 유한요소법에 의해 자계를 계산할 경우에 일정한 투자율을 두고 선형 해석을 하거나 비선형을 고려할 때에는 하나의 자화곡선을 이용한 뉴튼 랩슨법이 많이 사용된다. 그러나 최근 자계의 세기와 자속밀도간의 위상차를 고려할 수 있는 계산법에 대한 연구가 늘어나면서 여러 가지 방법들이 제시되고 있다. 본 논문에서는 간단한 실험데이타를 이용하여 정확히 자계의 세기와 자속밀도간의 비선형성을 고려하면서 특히, 이방성이 강한 재료를 사용하는 전기기기의 해석에 적합한 방법을 제안하며, 이 방법에 의해 삼상 변압기의 코어에서의 자계를 계산하며, 계산 결과에서 기존의 방법으로는 어려운 이방성 영향을 정확히 고려할 수 있음을 실험에 의하여 검증하였다.

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Development of Optimum Structural Analysis Program for Space Truss Structures (스페이스 트러스 구조에 대한 최적화 구조 해석 프로그램의 개발)

  • Sohn, Su Deok;Kim, Myung Sun;Kim, Seung Deog;Kang, Moon Myung
    • Journal of Korean Society of Steel Construction
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    • v.10 no.3 s.36
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    • pp.487-495
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    • 1998
  • Recently, the space truss has been attracted by many designers because of their ability to support significant loads with a minimum material. And it is relatively flexible to design the configuration of structures. This paper presents a volume optimization for the space truss on the basis of result evaluated from nonlinear analysis. The optimization of the truss is done by nonlinear optimum GINO(General Interactive Nonlinear Optimizer) program. The objective function considered is the volume of the steel bars. The constraints for optimum design are the design limits, such as the axial force strength, maximum slenderness, minimum thickness, allowable deflection and ratio of the external diameter to thickness of the circular tube bars.

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Papers : Snap - through Phenomena on Nonlinear Thermopiezoelastic Behavior of Piezolaminated Plates (논문 : 압전적층판의 비선형 열압전탄성 거동에서의 스냅 - 스루 현상)

  • O,Il-Gwon;Sin,Won-Ho;Lee,In
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.30 no.1
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    • pp.36-43
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    • 2002
  • Thermopiezoelastic snap-through phenomena of piezolaminated plates are investigated by applying an are-length scheme to Newton-Raphson method. Based on the layerwise displacement theory and von Karman strain-displacement relationships, nonlinear finite element formulations are derived for the thermopiezoelastic composite plates. From the static and dynamic viewpoint, nonlinear thermopierzoelastic behavior and vibration characteristicx are stuied for symmetric and eccentric structural models with various piezoelestric actuation modes. Present results show the possibility to enhance the performance, namely thermopiezoelastic snapping, induced by the excessive piezoelectric actuation in the active suppression of thermally buckled large deflection piezolaminated paltes.

A Study on the Shape Analysis Method of Plane Truss Structures under the Prescribed Displacement (변위제약을 받는 평면트러스 구조물의 형태해석기법에 관한 연구)

  • 문창훈;한상을
    • Computational Structural Engineering
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    • v.11 no.1
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    • pp.217-226
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    • 1998
  • The purpose of this study is to develop a technique for the shape analysis of plane truss structures under prescribed displacement modes. The shape analysis is performed based on the existence theorem of the solution and the Moore-Penrose generalized inverse matrix. In this paper, the homologous deformation of structures was proposed as prescribed displacement modes, the shape of the structure is determined from these various modes and applied loads. In general, the shape analysis is a kind of inverse problem different from stress analysis, and the governing equation becomes nonlinear. In this regard, Newton-Raphson method was used to solve the nonlinear equation. Three different shape models are investigated as numerical examples to show the accuracy and the effectiveness of the proposed method.

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Regression models for interval-censored semi-competing risks data with missing intermediate transition status (중간 사건이 결측되었거나 구간 중도절단된 준 경쟁 위험 자료에 대한 회귀모형)

  • Kim, Jinheum;Kim, Jayoun
    • The Korean Journal of Applied Statistics
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    • v.29 no.7
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    • pp.1311-1327
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    • 2016
  • We propose a multi-state model for analyzing semi-competing risks data with interval-censored or missing intermediate events. This model is an extension of the 'illness-death model', which composes three states, such as 'healthy', 'diseased', and 'dead'. The state of 'diseased' can be considered as an intermediate event. Two more states are added into the illness-death model to describe missing events caused by a loss of follow-up before the end of the study. One of them is a state of 'LTF', representing a lost-to-follow-up, and the other is an unobservable state that represents the intermediate event experienced after LTF occurred. Given covariates, we employ the Cox proportional hazards model with a normal frailty and construct a full likelihood to estimate transition intensities between states in the multi-state model. Marginalization of the full likelihood is completed using the adaptive Gaussian quadrature, and the optimal solution of the regression parameters is achieved through the iterative Newton-Raphson algorithm. Simulation studies are carried out to investigate the finite-sample performance of the proposed estimation procedure in terms of the empirical coverage probability of the true regression parameter. Our proposed method is also illustrated with the dataset adapted from Helmer et al. (2001).