• Title/Summary/Keyword: Numerical integration

검색결과 1,170건 처리시간 0.028초

Development of triangular flat-shell element using a new thin-thick plate bending element based on semiLoof constrains

  • Chen, Yong-Liang;Cen, Song;Yao, Zhen-Han;Long, Yu-Qiu;Long, Zhi-Fei
    • Structural Engineering and Mechanics
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    • 제15권1호
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    • pp.83-114
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    • 2003
  • A new simple 3-node triangular flat-shell element with standard nodal DOF (6 DOF per node) is proposed for the linear and geometrically nonlinear analysis of very thin to thick plate and shell structures. The formulation of element GT9 (Long and Xu 1994), a generalized conforming membrane element with rigid rotational freedoms, is employed as the membrane component of the new shell element. Both one-point reduced integration scheme and a corresponding stabilization matrix are adopted for avoiding membrane locking and hourglass phenomenon. The bending component of the new element comes from a new generalized conforming Kirchhoff-Mindlin plate element TSL-T9, which is derived in this paper based on semiLoof constrains and rational shear interpolation. Thus the convergence can be guaranteed and no shear locking will happen. Furthermore, a simple hybrid procedure is suggested to improve the stress solutions, and the Updated Lagrangian formulae are also established for the geometrically nonlinear problems. Numerical results with solutions, which are solved by some other recent element models and the models in the commercial finite element software ABAQUS, are presented. They show that the proposed element, denoted as GMST18, exhibits excellent and better performance for the analysis of thin-think plates and shells in both linear and geometrically nonlinear problems.

Large eddy simulation of wind effects on a super-tall building

  • Huang, Shenghong;Li, Q.S.
    • Wind and Structures
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    • 제13권6호
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    • pp.557-580
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    • 2010
  • A new inflow turbulence generation method and a combined dynamic SGS model recently developed by the authors were applied to evaluate the wind effects on 508 m high Taipei 101 Tower. Unlike the majority of the past studies on large eddy simulation (LES) of wind effects on tall buildings, the present numerical simulations were conducted for the full-scale tall building with Reynolds number greater than $10^8$. The inflow turbulent flow field was generated based on the new method called discretizing and synthesizing of random flow generation technique (DSRFG) with a prominent feature that the generated wind velocity fluctuations satisfy any target spectrum and target profiles of turbulence intensity and turbulence integral length scale. The new dynamic SGS model takes both advantages of one-equation SGS model and a dynamic production term without test-filtering operation, which is particular suitable to relative coarse grid situations and high Reynolds number flows. The results of comparative investigations with and without generation of inflow turbulence show that: (1) proper simulation of an inflow turbulent field is essential in accurate evaluation of dynamic wind loads on a tall building and the prescribed inflow turbulence characteristics can be adequately imposed on the inflow boundary by the DSRFG method; (2) the DSRFG can generate a large number of random vortex-like patterns in oncoming flow, leading to good agreements of both mean and dynamic forces with wind tunnel test results; (3) The dynamic mechanism of the adopted SGS model behaves adequately in the present LES and its integration with the DSRFG technique can provide satisfactory predictions of the wind effects on the super-tall building.

전기 임피던스 단층촬영 기법에서 수정된 가우스-뉴턴 방법을 이용한 도전율 영상 복원 (Conductivity Image Reconstruction Using Modified Gauss-Newton Method in Electrical Impedance Tomography)

  • 김봉석;박형준;김경연
    • 전기전자학회논문지
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    • 제19권2호
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    • pp.219-224
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    • 2015
  • 전기 임피던스 단층촬영 기법은 전극들을 통해 전류를 주입하고 이에 유기되는 전압을 측정한 후, 이들 데이터를 기반으로 내부의 도전율 분포를 영상으로 복원하는 방법이다. 이 논문에서는 기존의 Gauss-Newton 방법의 역행렬 항목의 차원을 도메인의 원소의 개수가 아닌 데이터의 개수의 차원으로 바꿔줌으로써, 관심 도메인 내부의 도전율 분포를 보다 빠르게 추정할 수 있는 방법을 제안하였다. 그리고 자코비안 행렬의 대각성분의 최소-최대를 이용하여 조정인자를 계산하는 방법을 함께 제안하였다. 몇 가지 시나리오를 설정하고 모의실험을 통해 제안한 방법의 복원 성능을 비교분석하였다.

지상 송신원 항공 전자 탐사 1차원 모델링 (One-dimensional Modeling of Airborne Transient Electromagnetic using a Long Grounded-wire Source)

  • 조인기;김래영;이명종
    • 지구물리와물리탐사
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    • 제18권4호
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    • pp.216-222
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    • 2015
  • 항공 전자 탐사법은 지하 천부의 전도성 광체 탐사를 위하여 이미 수십년 전에 도입되었다. 그러나 통상적인 시간 영역 항공 전자 탐사(ATEM) 시스템은 신호가 미약하여 가탐 심도에 한계가 있다. 최근 이러한 문제점을 극복하기 위하여 지상 송신원 시간 영역 항공 전자 탐사법(GREATEM)이 개발되었다. GREATEM은 지상에 설치된 긴 전선을 송신원으로 사용하는 준 항공 전자 탐사법이다. 항공 전자 탐사에서는 방대한 자료가 획득되므로, 계산 시간의 절감을 위하여 대개 1차원 해석 방법이 사용되고 있다. 그러나 GREATEM은 1차원 모델링의 경우에도 긴 전선을 따라 수치 적분이 필요하므로 루프 송신원을 사용하는 ATEM의 1차원 모델링에 비하여 계산 시간이 많이 걸린다는 문제점이 있다. 이 논문에서는 일반적인 1차원 모델링보다 비교할 수 없을 정도로 계산 속도가 빠른 ABFM법을 도입하여 ATEM 1차원 모델링을 수행하였다. 통상적인 모델링과 ABFM 결과를 비교한 결과, ABFM법은 GREATEM 1차원 모델링에도 적용 가능할 것으로 확인되었다.

Tight Bounds and Invertible Average Error Probability Expressions over Composite Fading Channels

  • Wang, Qian;Lin, Hai;Kam, Pooi-Yuen
    • Journal of Communications and Networks
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    • 제18권2호
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    • pp.182-189
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    • 2016
  • The focus in this paper is on obtaining tight, simple algebraic-form bounds and invertible expressions for the average symbol error probability (ASEP) of M-ary phase shift keying (MPSK) in a class of composite fading channels. We employ the mixture gamma (MG) distribution to approximate the signal-to-noise ratio (SNR) distributions of fading models, which include Nakagami-m, Generalized-K ($K_G$), and Nakagami-lognormal fading as specific examples. Our approach involves using the tight upper and lower bounds that we recently derived on the Gaussian Q-function, which can easily be averaged over the general MG distribution. First, algebraic-form upper bounds are derived on the ASEP of MPSK for M > 2, based on the union upper bound on the symbol error probability (SEP) of MPSK in additive white Gaussian noise (AWGN) given by a single Gaussian Q-function. By comparison with the exact ASEP results obtained by numerical integration, we show that these upper bounds are extremely tight for all SNR values of practical interest. These bounds can be employed as accurate approximations that are invertible for high SNR. For the special case of binary phase shift keying (BPSK) (M = 2), where the exact SEP in the AWGN channel is given as one Gaussian Q-function, upper and lower bounds on the exact ASEP are obtained. The bounds can be made arbitrarily tight by adjusting the parameters in our Gaussian bounds. The average of the upper and lower bounds gives a very accurate approximation of the exact ASEP. Moreover, the arbitrarily accurate approximations for all three of the fading models we consider become invertible for reasonably high SNR.

유해화학물질 관련 대기오염사고 대응을 위한 화학물질사고대응정보시스템 (CARIS) (Chemical Accidents Response Information System(CARIS) for the Response of Atmospheric Dispersion Accidents in association with Hazardous Chemicals)

  • 김철희;박철진;박진호;임차순;김민섭;박춘화;천광수;나진균
    • 환경영향평가
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    • 제12권1호
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    • pp.23-34
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    • 2003
  • The emergency response modeling system CARIS has been developed at CCSM (Center for Chemical Safety Management), NIER (National Institute of Environmental Research) to track and predict dispersion of hazardous chemicals for the environmental decision support in case of accidents at chemical or petroleum companies in Korea. The main objective of CARIS is to support making decision by rapidly providing the key information on the efficient emergency response of hazardous chemical accidents for effective approaches to risk management. In particular, the integrated modeling system in CARIS consisting of a real-time numerical weather forecasting model and air pollution dispersion model is supplemented for the diffusion forecasts of hazardous chemicals, covering a wide range of scales and applications for atmospheric information. In this paper, we introduced the overview of components of CARIS and described the operational modeling system and its configurations of coupling/integration in CARIS. Some examples of the operational modeling system is presented and discussed for the real-time risk assessments of hazardous chemicals.

우리나라와 호주 고등학교 수학과 해석 영역 교육과정 비교 (A Comparative Curriculum Analysis of High School Mathematics in Korea and Australia)

  • 고호경;장경윤;신민경
    • 대한수학교육학회지:학교수학
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    • 제18권2호
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    • pp.349-373
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    • 2016
  • 국가 별 교육과정 비교는 우리나라 국가 교육과정에 제시된 내용과 방향을 탐색하는 주요한 연구 방법이다. 이에 본 연구는 2012년 새로운 교육과정을 공표, 2015년부터 시행하고 있는 호주를 대상으로 고등학교 수학과 교육과정을 비교 분석하였다. 그 결과 호주의 교육과정 성취기준은 다루어야 할 개념을 실생활 맥락까지 함께 제시한다거나 다루어야 하는 수학적 내용을 구체적으로 제시하고 있다는 특징이 있다. 해석영역을 중심으로 분석한 결과, 정적분의 도입을 '급수의 합'으로 정의하고 있으며, 우리나라 고등학교 교육과정 성취기준에는 나타나지 않는 '운동 모델링', '수치적분법' 등이 나타나고, 그 외 '벡터함수의 미적분' 내용은 우리나라보다 심화된 내용으로 다루고 있다는 특징이 있다. 또한 호주의 교과서를 분석한 결과, 어떤 수학적 정의를 이해시키는 데 있어서 도움이 되는 보조 개념들을 충분히 다루고 있음이 나타났는데, 접근 방식에 있어 우리나라 학습자의 인지적 부담 경감 측면에서의 연구에 고려해야할 사항이라 볼 수 있다.

유한요소법에 의한 PC 농업용 사이로의 해석에 관한 연구 -제2보 탄성지반에 놓인 경우- (-An Analysis of Pre-Stressed Concrete Farn Sild by the Finite Element Method-)

  • 조진구;조현영;박병기
    • 한국농공학회지
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    • 제24권3호
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    • pp.73-83
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    • 1982
  • study aims to derive a rational method for the analysis of the farm silo supported on an elastic foundation in which it is assumed that the reaction pressure of the soil at a point is proportional to the deflection at that point. In order to investigate the effects of an elastic foundation on the behaviour of the structures on it, the analysis of the farm silo resting on an elastic foundation was compared with the solution that the ground support may be assumed uniform (which was obtained from part I of this paper). To calculate the deformation of an elastic foundation, Boussinesq's solution which allows an interaction of the various parts of ground was adopted. In this case, the foundation was treated as a superparametric element additionally. In the evaluation of an element stiffness matrix, Gauss quadrature' was used. In above numerical integration, 3-point rule for the farm silo wall and the footing was introduced and 2-point rule for the evaluation of a reaction between the footing and the elastic foundation was adopted. The stresses of a farm silo on an elastic foundation were smaller than those which the distribution of contact pressure between the footing and the soil is assumed uniformly. Since the differences of stresses were remarkable in PS structures than RC structures, it is desirable that designers take into account the effect of an elastic foundation for the case of PS structures. It can be noted that while the effect of an elastic foundation was more conspicuously observed in near of the ground, the value of stresses at far from the soil was little affected by an supported soil.

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센서네트워크용 Sequenced Directed Diffusion 기법 연구 (A study on a sequenced directed diffusion algorithm for sensor networks)

  • 장재신
    • 한국정보통신학회논문지
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    • 제11권5호
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    • pp.889-896
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    • 2007
  • 센서기술 및 무선통신 기술의 발달로 센서네트워크에 대한 연구가 가속화되고 있다. 센서노드는 크기 및 용량의 제한 때문에 간단하면서 에너지를 효율적으로 사용할 수 있는 프로토콜을 설계하는 것이 매우 중요하다. 기존 센서네트워크용 라우팅 프로토콜로 널리 알려져 있는 directed diffusion 프로토콜은 간단하다는 장점을 갖지만 Interest/Exploratory data 메시지를 Flooding 기법에 따라 전송하게 됨에 따라 에너지 소모가 크다는 단점을 가지고 있다. 따라서 본 논문에서는 directed diffusion 기법이 가진 단점을 보완하면서 각 센서노드가 에너지를 균형 있게 소비할 수 있는 설계된 센서 네트워크 용 라우팅 기법을 제안하고 시뮬레이션을 통해 성능평가를 수행하였다. 성능평가 결과에 따르면 본 연구에서 제안한 라우팅 프로토콜이 기존 directed diffusion 기법에 비해 에너지를 훨씬 효율적으로 사용하면서 센서노드간 에너지 소비 불균형 문제를 해결하고 있음을 수치계산 결과를 통해 확인할 수 있었다.

Predictions of non-uniform tip clearance effects on the flow field in an axial compressor

  • Kang, Young-Seok;Kang, Shin-Hyoung
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 2008년 영문 학술대회
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    • pp.743-750
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    • 2008
  • Asymmetric tip clearance in an axial compressor induces pressure and velocity redistributions along the circumferential direction in an axial compressor. This paper presents the mechanism of the flow redistribution due to the asymmetric tip clearance with a simple numerical modeling. The flow field of a rotor of an axial compressor is predicted when an asymmetric tip clearance occurs along the circumferential direction. The modeling results are supported by CFD results not only to validate the present modeling but also to investigate more detailed flow fields. Asymmetric tip clearance makes local flow area and resultant axial velocity vary along the circumferential direction. This flow redistribution 'seed' results in a different flow patterns according to the flow coefficient. Flow field redistribution patterns are largely dependent on the local tip clearance performance at low flow coefficients. However, the contribution of the main flow region becomes dominant while the tip clearance effect becomes weak as the flow coefficient increases. The flow field redistribution pattern becomes noticeably strong if a blockage effect is involved when the flow coefficient increases. The relative flow angle at the small clearance region decreases which result in a negative incidence angle at the high flow coefficient. It causes a recirculation region at the blade pressure surface which results in the flow blockage. It promotes the strength of the flow field redistribution at the rotor outlet. These flow pattern changes have an effect on the blade loading perturbations. The integration of blade loading perturbation from control volume analysis of the circumferential momentum leads to well-known Alford's force. Alford's force is always negative when the flow blockage effects are excluded. However when the flow blockage effect is incorporated into the modeling, main flow effects on the flow redistribution is also reflected on the Alford's force at the high flow coefficient. Alford's force steeply increases as the flow coefficient increases, because of the tip leakage suppression and strong flow redistribution. The predicted results are well agreed to CFD results by Kang and Kang(2006).

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