• 제목/요약/키워드: Infinite Model

검색결과 632건 처리시간 0.028초

사영에 의한 반무한지반의 비선형해석 (A Method for Nonlinear Dynamic Response Analysis of Semi-infinite Foundation Using Mapping)

  • 이춘길
    • 한국지반공학회논문집
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    • 제22권4호
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    • pp.5-10
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    • 2006
  • 반무한 영역을 유한영역에 사영한 다음 반무한지반의 비선형동적응답해석에 대한 특수한 유한 차분법을 제안하였다. 해석대상의 주요 부분은 동일 길이로 하고, 주변은 축소, 사영함으로서 무한영역을 유한영역으로 변환 후 차분하였다. 우선 반무한 지반의 선형모델의 응답으로서 계산값과 이론값의 결과를 비교하였다. 선형모델에 대한 제안법의 계산결과는 Lamb의 해석결과와 양호하게 일치했다. 또 간단한 모델에 의한 선형, 비선형해석도 소규모 mesh에 의한 응답결과와 대규모 mesh에 의한 응답결과는 일치하고 제안법의 유효성을 나타내었다.

터널해석을 위한 다양한 감쇠특성의 3차원 정적무한요소 개발 (Development of 3-Dimensional Static Infinite Elements with Various Decay Characteristics for Tunnel Analysis)

  • 구희대;고현무
    • 대한토목학회논문집
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    • 제26권3A호
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    • pp.439-445
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    • 2006
  • 터널과 같이 구조물의 크기가 매질의 영역에 비하여 상대적으로 작은 경우와 같은 무한영역의 문제는 유한요소법을 적용하여 해석할 수 있으나 해석의 정밀도를 높이기 위해서는 해석영역을 크게 선정하게 되어 계산량이 증가하고, 인위적인 경계조건에 의한 오차의 영향을 피할 수 없다. 이를 개선하기 위해 관심영역은 유한요소로 모델링하고 무한영역은 무한요소로 모델링하는 혼합법을 적용하면 보다 효과적이다. 본 연구에서는 다양한 감쇠함수를 적용한 등매개변수형 무한요소를 제안하였고 매개변수해석을 통하여 터널해석에 적합한 감쇠함수의 특성치를 제시하였다. 또한 이를 적용한 3차원 혼합모델이 터널 해석에 유효함을 입증하였다.

Acoustical characteristic predictions of a multi-layer system of a submerged vehicle hull mounted sonar simplified to an infinite planar model

  • Kim, Sung-Hee;Hong, Suk-Yoon;Song, Jee-Hun;Kil, Hyun-Gwon;Jeon, Jae-Jin;Seo, Young-Soo
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제4권2호
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    • pp.96-111
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    • 2012
  • Hull Mounted Sonar (HMS) is a long range submerged vehicle's hull-mounted passive sonar system which detects low-frequency noise caused by machineries of enemy ships or submerged vehicles. The HMS needs a sound absorption /insulation multi-layer structure to shut out the self-noise from own machineries and to amplify signals from outside. Therefore, acoustic analysis of the multi-layer system should be performed when the HMS is designed. This paper simplified the HMS multi-layer system to be an infinite planar multi-layer model. Also, main excitations that influence the HMS were classified into mechanical, plane wave and turbulent flow excitation, and the investigations for each excitation were performed for various models. Stiffened multi-layer analysis for mechanical excitation and general multi-layer analysis for turbulent flow excitation were developed. The infinite planar multi-layer analysis was expected to be more useful for preliminary design stage of HMS system than the infinite cylindrical model because of short analysis time and easiness of parameter study.

개선된 가중적분법과 반무한 영역의 해석 (Improved Weighted Integral Method and Application to Analysis of Semi-infinite Domain)

  • 노혁천;최창근
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2002년도 봄 학술발표회 논문집
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    • pp.369-376
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    • 2002
  • The stochastic analysis of semi-infinite domain is presented using the weighted integral method, which is improved to include the higher order terms in expanding the displacement vector. To improve the weighted integral method, the Lagrangian remainder is taken into account in the expansion of the status variable with respect to the mean value of the random variables. In the resulting formulae only the 'proportionality coefficients' are introduced in the resulting equation, therefore no additional computation time and memory requirement is needed. The equations are applied in analyzing the semi-infinite domain. The results obtained by the improved weighted integral method are reasonable and are in good agreement with those of the Monte Carlo simulation. To model the semi-infinite domain, the Bettess's infinite element is adopted, where the theoretical decomposition of the strain-displacement matrix to calculate the deviatoric stiffness of the semi-infinite domains is introduced. The calculated value of mean and the covariance of the displacement are revealed to be larger than those given by the finite domain assumptions which is thought to be rational and should be considered in the design of structures on semi-infinite domains.

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Static stress analysis of multi-layered soils with twin tunnels by using finite and infinite elements

  • Yusuf Z. Yuksel;Seref D. Akbas
    • Geomechanics and Engineering
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    • 제33권4호
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    • pp.369-380
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    • 2023
  • The aim of this paper is to investigate stress analysis of semi-infinite soils consisting of two layers with twin rectangular tunnels under static loads. The region close to the ground surface and tunnel modelled within finite elements. In order to use a more realistic model, the far region is modelled within infinite elements. The material model of the layered soil is considered as elastic and isotropic. In the finite element solution of the problem, two dimensional (2D) plane solid elements are used with sixteen-nodes rectangular finite and eight-nodes infinite shapes. Finite and infinite elements are ordered to be suitable for the tunnel and the soils. The governing equations of the problem are obtained by using the virtual work principle. In the numerical process, the five-point Gauss rule is used for the calculation of the integrations. In order to validate using methods, comparison studies are performed. In the numerical results, the stress distributions of the two layered soils containing twin rectangular tunnels presented. In the presented results, effects of the location of the tunnels on the stress distributions along soil depth are obtained and discussed in detail. The obtained results show that the locations of the tunnels are very effective on the stress distribution on the soils.

스파크 음원을 이용한 장벽의 회절음장에 관한 실험 연구 (Experimental Study on Sound Diffraction over Barrier Using a Spark Discharge Sound Source)

  • 주진수
    • 소음진동
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    • 제9권3호
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    • pp.466-471
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    • 1999
  • The prediction methods of diffraction field in barrier has beenreported much about the infinite length barrier and it is very few work that reasonable sound source was used in experiment. This study, however, has worked about the several model barrier with acoustic scale model experiment. In the case of scale model experiment, it is difficult to use the kind of source with sufficiently characteristics. A spark discharge sound source with the high repeatability, broad band spectra, small size and omnidirectivity has veen used for the prediction of diffraction field. Several model barriers with different length on the ground were considered for the experiment and compared with the the results calculated by the approximation.

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반무한 영역에서의 탄성파 진행문제를 위한 흡수경계에 관한 연구 (A Study on Absorbing Boundaries for Wave Propagation in Semi-Infinite Elastic Media)

  • 이종세
    • 한국지진공학회:학술대회논문집
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    • 한국지진공학회 2000년도 춘계 학술발표회 논문집 Proceedings of EESK Conference-Spring
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    • pp.451-457
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    • 2000
  • In many dynamic problems such as foundation vibrations ultrasonic nondestructive evaluation and blasting analysts are confronted with the problem of wave propagation in an infinite or semi-infinite media. In order to simulate this situation by a finite analytical model provisions must be made to absorb the stress waves arriving at the boundary. Absorbing boundaries are mathematical artifacts used to prevent wave reflections at the boundaries of discrete models for infinite media under dynamic loads. An analytical study is carried out to examine the effectiveness of Lysmer-Kuhlemeyer model one of the most widely used absorbing boundaries. Validity of the absorbing boundary conditions suggested by Lymer-Kuhlemeyer is examined by adopting the solution of Ewing et al. to the problem of plane waves from a harmonic normal force on the surface of an elastic half-space. The Ewing's problem is than numerically simulated using the finite element method on a semi-circular mesh with and without absorbing boundaries which are represented by viscous dashpots. The absorption ratios are calculated by comparing the displacements at the absorbing boundaries to those at the free field without absorbing boudaries.

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무한요소를 사용한 층상지반에 놓인 스트립기초의 진동전파해석 (Wave Propagation Analysis of a Strip Foundation in Layered Soils using Infinite Elements)

  • 윤정방;김두기;김유진;박종찬
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1996년도 가을 학술발표회 논문집
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    • pp.202-209
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    • 1996
  • In this paper, two dimensional vertical and comer infinite elements which can include multiple wave components to model underlying half space are developed. These elements are natural and economical to model underlying stiff half space or rock. To verify the behavior of these infinite elements, vertical, horizontal, and rocking compliances of a rigid strip foundation on a viscoelastic soil profile are analyzed and compared with those of Tzong and Penzien who used the boundary solution method. Good agreements are noticed between the two methods. The influence of material properties like Poisson's ratio, material damping, and stiffness ratio of layers as well as the influence of geometrical properties such as layer thicknesses and depth of foundation embedment are studied. Example analysis is carried out for the shaking table which is located in KIMM(Korea Institute of Machinery and Materials), and the vertical and horizontal displacements of the analysis are compared with the measured, and show good results and demonstrate the efficiency of the proposed method.

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어랑분포를 적용한 유한 및 무한 고장 소프트웨어 신뢰모형에 관한 성능 비교 평가에 관한 연구 (A Performance Comparative Evaluation for Finite and Infinite Failure Software Reliability Model using the Erlang Distribution)

  • 양태진
    • 한국정보전자통신기술학회논문지
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    • 제9권4호
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    • pp.351-358
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    • 2016
  • 과학기술이 급속하게 발전함에 따라 더 강력한 소프트웨어 기능의 급속한 발전과 함께 소프트웨어의 복잡성이 크게 증가함으로써 소프트웨어 테스트 및 신뢰성 평가의 어려움이 증가하고 있다. 소프트웨어 고장분석을 위한 비동질적인 포아송 과정에서 결함당 고장발생률이 상수이거나, 단조 증가 또는, 단조 감소하는 패턴을 가질 수 있다. 본 논문에서는 결함의 기대값을 가정하는 유한고장 소프트웨어 NHPP 모형과 수리시점에서도 고장이 발생할 상황을 반영하는 무한고장 NHPP 모형들을 상호 비교 제시하였다. 소프트웨어 신뢰성 분야에서 많이 사용되는 어랑분포에 근거한 유한고장과 무한고장 소프트웨어 신뢰성 모형에 대한 신뢰도 성능을 비교 분석하였다. 그 결과 유한고장 모형이 무한고장 모형보다 효율적으로 좋게 나타났으며, 이 과정에서 모수추정법은 최우추정법을 이용하였다. 본 연구결과를 통하여 소프트웨어 개발자들에게 소프트웨어 고장현상을 파악하는데 도움을 줄 수 있을 것으로 판단된다.

무한희석법(無限稀釋法)을 이용한 질산화(窒酸化) 미생물(微生物) 반포화계수(半飽和係數) 결정(決定)에 관한 실험적(實驗的) 연구(硏究) (Experimental detemination of Half-Saturation Coefficient for Nitrifying Bacteria by Infinite Dilution Method)

  • 이병희
    • 상하수도학회지
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    • 제12권1호
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    • pp.62-69
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    • 1998
  • To remove nitrogen from wastewater, ammonia nitrogen has to be oxidized to nitrate nitrogen before denitrification reaction which converts nitrate nitrogen to nitrogen gas. In order to understand nitrification, several mathematical models had been proposed and Monod type model has been accepted internationally. Since Monod type model consists of maximum substrate utilization rate, substrate concentration and half-saturation coefficient, these values have to be addressed before using Monod type model. Several experimental procedures to determine half-saturation coefficient have been developed, however, Infinite dilution method was known to be time saving procedure. In this study, the mathematical equations and experimantal procedures for Infinite dilution method are presented and this method is used to determine half-Saturation coefficient for nitrifying bacteria. As results, Infinite dilution method is proved that this coefficient can be determined within 8 hours and the values of half-saturation coefficient has a range of 0.728 and $0.455gNH_4{^+}-N/m^3$ and the average has $0.580gNH_4{^+}-N/m^3$ through 5 sets of experiments.

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