• 제목/요약/키워드: Newton-like method

검색결과 42건 처리시간 0.023초

A computational setting of calcium leaching in concrete and its coupling with continuum damage mechanics

  • Nguyen, V.H.;Nedjar, B.;Torrenti, J.M.
    • Computers and Concrete
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    • 제1권2호
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    • pp.131-150
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    • 2004
  • We present in this work a coupled phenomenological chemo-mechanical model that represents the degradation of concrete-like materials. The chemical behaviour is described by the nowadays well known simplified calcium leaching approach. And the mechanical damage behaviour is described by a continuum damage model which involves the gradient of the damage quantity. The coupled nonlinear problem at hand is addressed within the context of the finite element method. For the equation governing the calcium dissolution-diffusion part of the problem, special care is taken to treat the highly nonlinear calcium conductivity and solid calcium functions. The algorithmic design is based on a Newton-type iterative scheme where use is made of a recently proposed relaxed linearization procedure. And for the equation governing the damage part of the problem, an augmented Lagrangian formulation is used to take into account the damage irreversibility constraint. Finally, numerical simulations are compared with experimental results on cement paste.

배전자동화 시스템의 단말장치(FRTU)로부터 취득되는 데이터를 이용한 방사상 배전계통 조류계산 방법에 관한 연구 (A Study on Power Flow Method of Radial Distribution System using a measured data from FRTU in Distribution Automation System)

  • 김형승;최면송;이승재
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2015년도 제46회 하계학술대회
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    • pp.286-287
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    • 2015
  • Currently, Studies on improving the reliability of power supply is becoming an important issue because of the increase in demand of the electric power system. Therefore necessity of automation in distribution system is increasing day by day. However, a measured voltage data from FRTU of distribution automation system is incorrect because of installation space limits. Therefore there is a need of system analysis method by considering the characteristics of the distribution system. For a distribution system, applying the power flow method of transmission system has some problems, as distribution is radial system and it has unbalanced load. Therefore power flow by considering the characteristics of the distribution system have been studied. Existing power flow analysis of the distribution system has different methods like direct analysis method, backward/forward sweep method, modified method of newton raphson etc. In this paper, an improved power flow analysis method based on backward/forward sweep method is proposed in order to efficiently operate the distribution automation system. The proposed method of power flow has been verified through the result of case study.

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Davidenko법에 의한 시간최적 제어문제의 수치해석해 (The Numerical Solution of Time-Optimal Control Problems by Davidenoko's Method)

  • 윤중선
    • 한국정밀공학회지
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    • 제12권5호
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    • pp.57-68
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    • 1995
  • A general procedure for the numerical solution of coupled, nonlinear, differential two-point boundary-value problems, solutions of which are crucial to the controller design, has been developed and demonstrated. A fixed-end-points, free-terminal-time, optimal-control problem, which is derived from Pontryagin's Maximum Principle, is solved by an extension of Davidenko's method, a differential form of Newton's method, for algebraic root finding. By a discretization process like finite differences, the differential equations are converted to a nonlinear algebraic system. Davidenko's method reconverts this into a pseudo-time-dependent set of implicitly coupled ODEs suitable for solution by modern, high-performance solvers. Another important advantage of Davidenko's method related to the time-optimal problem is that the terminal time can be computed by treating this unkown as an additional variable and sup- plying the Hamiltonian at the terminal time as an additional equation. Davidenko's method uas used to produce optimal trajectories of a single-degree-of-freedom problem. This numerical method provides switching times for open-loop control, minimized terminal time and optimal input torque sequences. This numerical technique could easily be adapted to the multi-point boundary-value problems.

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펄스형 초음파 신호에서 비선형 파라미터의 정밀 추정 (Precise Estimation of Nonlinear Parameter in Pulse-Like Ultrasonic Signal)

  • 하욥;장경영
    • 비파괴검사학회지
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    • 제26권2호
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    • pp.77-83
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    • 2006
  • 초음파 비선형성은 적층 구조물 내부의 미세크랙이나 계면 들뜸을 검출하기 위한 수단으로 주목받고 있다. 비선형 초음파의 특징적인 현상은 전파 과정중에 고조파가 발생되는 것이다. 그러므로 비선형성의 정량화를 위해서는 수신된 초음파 신호에 포함된 고조파 성분의 검출이 중요하며, 일반적으로 2차 조화 성분과 기본 주파수 성분의 진폭비가 비선형 파라미터로 이용되고 있다. 그러나 이 비선형 파라미터를 정확하게 추정할 수 있는 방법이 확립되어 있지 않기 때문에 현재까지는 현장적용에 어려움을 겪고 있다. 본 연구에서는 초음파 비선형 파라미터의 정밀 추정을 위한 신호 처리 기술을 제안하고자 한다 이 기술은 파워 스펙트럼과 바이스펙트럼 분석에 기초하며, 특히 본 연구에서는 초음파 현미경(SAM, scanning acoustic microscope)에 사용되는 펄스형 신호로부터 고조파를 검출하는데 주목하였다. 제안된 기법의 유효성은 틈새의 크기가 접촉 중심에서 반경 방향으로 일정하게 증가하는 뉴턴링(Newton-ring)과 칩의 윗면에 국부적인 들뜸을 가진 반도체 샘플에 대한 실험을 통해 검증되었다. 결과적으로 제안된 신호처리기법에 의해 획득된 비선형 파라미터는 계면 들뜸과 좋은 상관성을 보였다.

다중경로 환경에서의 TOA방식과 TDOA방식의 측위성능 비교 (Comparisons of Error Characteristics between TOA and TDOA Positioning in Dense Multipath Environment)

  • 박지원;박지희;송승헌;성태경
    • 전기학회논문지
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    • 제58권2호
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    • pp.415-421
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    • 2009
  • TOA(time-of-arrival) and TDOA(time-difference-of-arrival) positioning techniques are commonly used in many radio-navigation systems. From the literature, it is known that the position estimate and error covariance matrix of TDOA obtained by GN(Gauss-Newton) method is exactly the same as that of TOA when the error source of the range measurement is only an IID white Gaussian noise. In case of geo-location and indoor positioning, however, multi-path or NLOS(non-line-of-sight) error is frequently appeared in range measurements. Though its occurrence is random, the multipath acts like a bias for a stationary user if it occurs. This paper presents the comparisons of error characteristics between TOA and TDOA positioning in presence of multi-path or NLOS error. It is analytically shown that the position estimate of TDOA is exactly the same as that of TOA even when bias errors are included in range measurements with different magnitudes. By computer simulation, position estimation error and error distribution are analyzed in presence of range bias errors.

해체 및 실험적 건축가들의 기하학적 디자인 표현 특성에 관한 연구 (A Study on the Expressional characteristics of Geometrical Design in the Deconstructive and Experimental Architects)

  • 황태주
    • 한국실내디자인학회논문집
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    • 제11호
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    • pp.57-63
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    • 1997
  • In the early 20'c, scientific thoughts make a change the absolute and separate concept of space-time into relative concept of continual entity; a kind of ideal world. It suggests that the meaning of geometry as absolute truth with which has endowed human beings would changed to a relative meaning of accumulation in intellectual work on 'nature'. This cognitive changes appeared into absolute arts in 20'c like Cubism, Superematism or Constructivism. De Stijl movement which had recepted the relative concepts like Einstein's 'theory of relativity' as a developed thought from Newton-Cartesian cognition on the world. Abstration would be adequate method for expressing the dynamics and interrelationship between forms and for giving values to indivisual elements in a compositiov. This method had appeared Modern architectural form, as a common framework. The expression characteristics of geometrical design in Deconstructive and Experimental architecture were summerized in four features through the results of the analysis. First, the relation of architectural element and intertextuality is expressed in discontinuation of context and refusal of functional building. Second, the concept of trace expresses as connection of place, decomposing of excavation of trace, trace of axis, trace of fragments. Third, anti-gravity expression is there to express of open cubic, to outgrow of rectangular system, to outgrow of volume, to separate of ground connectiov. Fourth, the complex composition of abstracted geometric form is these to abstracted geometry about indefinite shape, to layer through the overlap and collage, to de-meaning and amusement of form through the pursuit of uncertainty, to indeterminate of formal meaning through operation and composition of similar form cause to the diverse of meaning.

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산사태 위험도 추정을 위한 간극수압 예측에 관한 연구(II) -산사면에서의 지하수위 예측 모델의 개발- (Porewater Pressure Predictions on Hillside Slopes for Assessing Landslide Risks (II) Development of Groundwater Flow Model)

  • 이인모;박경호;임충모
    • 한국지반공학회지:지반
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    • 제8권2호
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    • pp.5-20
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    • 1992
  • The physical-based and lumped-parameter hydrologic groundwater flow model for predicting the rainfall-triggered rise of groundwater levels in hillside slopes is developed in this paper to assess the risk of landslides. The developed model consists of a vertical infiltration model for unsaturated zone linked to a linear storage reservoir model(LSRM) for saturated zone. The groundwater flow model has uncertain constants like soil depttL slope angle, saturated permeability, and potential evapotranspiration and four free model parameters like a, b, c, and K. The free model parameters could be estimated from known input-output records. The BARD algorithm is uses as the parameter estimation technique which is based on a linearization of the proposed model by Gauss -Newton method and Taylor series expansion. The application to examine the capacity of prediction shows that the developed model has a potential of use in forecast systems of predicting landslides and that the optimal estimate of potential 'a' in infiltration model is the most important in the global optimum analysis because small variation of it results in the large change of the objective function, the sum of squares of deviations of the observed and computed groundwater levels. 본 논문에서는 가파른 산사면에서 산사태의 발생을 예측하기 위한 수문학적 인 지하수 흐름 모델을 개발하였다. 이 모델은 물리적인 개념에 기본하였으며, Lumped-parameter를 이용하였다. 개발된 지하수 흐름 모델은 두 모델을 조합하여 구성되어 있으며, 비포화대 흐름을 위해서는 수정된 abcd 모델을, 포화대 흐름에 대해서는 시간 지체 효과를 고려할 수 있는 선형 저수지 모델을 이용하였다. 지하수 흐름 모델은 토층의 두께, 산사면의 경사각, 포화투수계수, 잠재 증발산 량과 같은 불확실한 상수들과 a, b, c, 그리고 K와 같은 자유모델변수들을 가진다. 자유모델변수들은 유입-유출 자료들로부터 평가할 수 있으며, 이를 위해서 본 논문에서는 Gauss-Newton 방법을 이용한 Bard 알고리즘을 사용하였다. 서울 구로구 시흥동 산사태 발생 지역의 산사면에 대하여 개발된 모델을 적용하여 예제 해석을 수행함으로써, 지하수 흐름 모델이 산사태 발생 예측을 위하여 이용할 수 있음을 입증하였다. 또한, 매개변수분석 연구를 통하여, 변수 a값은 작은 변화에 대하여 목적함수값에 큰 변화를 일으키므로 a의 값에 대한 최적값을 구하는 것이 가장 중요한 요소라는 결론을 얻었다.

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Experimental Study on Tip Clearance Effects for Performance Characteristics of Ducted Fan

  • ;최현민;조진수
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 2009년도 제33회 추계학술대회논문집
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    • pp.395-398
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    • 2009
  • Currently, a new generation of ducted fan UAVs (Unmanned Aerial Vehicles) is under development for a wide range of inspection, investigation and combat missions as well as for a variety of civil roles like traffic monitoring, meteorological studies, hazard mitigation etc. The current study presents extensive results obtained experimentally in order to investigate the tip clearance effects on performance characteristics of a ducted fan for small UAV systems. Three ducted fans having different tip clearance gap and with same rotor size were examined under three different yawed conditions of calibrated slanted hot-wire probe. Three dimensional velocity flow fields were measured from hub to tip at outlet of the ducted fan. The analysis of data were done by PLEAT (Phase locked Ensemble Averaging Technique) and three non-linear differential equations were solved simultaneously by using Newton -Rhapson numerical method. Flow field characteristics such as tip vortex and secondary flow were confirmed through axial, radial and tangential velocity contour plots. At the same time, the effects of tip clearance on axial thrust and input power were also investigated by using wind tunnel measurement system. For enhancing the performance of ducted fan, tip clearance level should be as small as possible.

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기하학적 비선형 판재 해석을 위한 혼합형 FE Model 연구 (Study of a Mixed Finite Element Model for the Analysis of a Geometrically Nonlinear Plate)

  • 김우람;최윤대
    • 대한기계학회논문집A
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    • 제34권10호
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    • pp.1427-1435
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    • 2010
  • 전통 판재이론을 이용하여 기하학적 비선형성을 갖는 판재의 휨해석을 위한 혼합형 유한요소모델을 구성 하였다. 혼합형 유한요소 모델의 구성에 포함되는 변형률과 합성력의 관계에 대한 적절한 가중함수를 찾기 위하여 라그랑지 승수법과 최소가상에너지 원리를 사용하였다. 각 요소별 유한요소 방정식의 계수행렬과 뉴턴 반복법 사용을 위한 접선 행렬에 대한 구체적 값을 제시하였다. 구성된 유한요소 해석모델의 선형 해에 대한 정확도 분석을 위하여, 여러 경계조건하에서의 수학적 해와 제시된 모델과 기존 모델의 유한요소해를 비교하여 현재 모델의 정확도의 향상을 확인하였다. 또한 수렴된 비선형해를 이용하여 제시된 모델의 경우, 각종 합성력들에 대한 요소 경계에서의 연속성이 기존의 모델의 합성력에 비해 개선됨을 제시하였다. 최종적으로 수렴한 비선형해에 대한 유효성을 보이기 위하여 기존 모델의 비선형 수렴해와 현재 모델의 비선형 수렴해를 비교하여 제시하였다.

Saw-tooth softening/stiffening - a stable computational procedure for RC structures

  • Rots, Jan G.;Invernizzi, Stefano;Belletti, Beatrice
    • Computers and Concrete
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    • 제3권4호
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    • pp.213-233
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    • 2006
  • Over the past years techniques for non-linear analysis have been enhanced significantly via improved solution procedures, extended finite element techniques and increased robustness of constitutive models. Nevertheless, problems remain, especially for real world structures of softening materials like concrete. The softening gives negative stiffness and risk of bifurcations due to multiple cracks that compete to survive. Incremental-iterative techniques have difficulties in selecting and handling the local peaks and snap-backs. In this contribution, an alternative method is proposed. The softening diagram of negative slope is replaced by a saw-tooth diagram of positive slopes. The incremental-iterative Newton method is replaced by a series of linear analyses using a special scaling technique with subsequent stiffness/strength reduction per critical element. It is shown that this event-by-event strategy is robust and reliable. First, the model is shown to be objective with respect to mesh refinement. Next, the example of a large-scale dog-bone specimen in direct tension is analyzed using an isotropic version of the saw-tooth model. The model is capable of automatically providing the snap-back response. Subsequently, the saw-tooth model is extended to include anisotropy for fixed crack directions to accommodate both tensile cracking and compression strut action for reinforced concrete. Three different reinforced concrete structures are analyzed, a tension-pull specimen, a slender beam and a slab. In all cases, the model naturally provides the local peaks and snap-backs associated with the subsequent development of primary cracks starting from the rebar. The secant saw-tooth stiffness is always positive and the analysis always 'converges'. Bifurcations are prevented due to the scaling technique.