• 제목/요약/키워드: homogeneous functions

검색결과 173건 처리시간 0.029초

Catastrophe analysis of active-passive mechanisms for shallow tunnels with settlement

  • Yang, X.L.;Wang, H.Y.
    • Geomechanics and Engineering
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    • 제15권1호
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    • pp.621-630
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    • 2018
  • In the note a comprehensive and optimal passive-active mode for describing the limit failure of circular shallow tunnel with settlement is put forward to predict the catastrophic stability during the geotechnical construction. Since the surrounding soil mass around tunnel roof is not homogeneous, with tools of variation calculus, several different curve functions which depict several failure shapes in different soil layers are obtained using virtual work formulae. By making reference to the simple-form of Power-law failure criteria based on numerous experiments, a numerical procedure with consideration of combination of upper bound theorem and stochastic medium theory is applied to the optimal analysis of shallow-buried tunnel failure. With help of functional catastrophe theory, this work presented a more accurate and optimal failure profile compared with previous work. Lastly the note discusses different effects of parameters in new yield rule and soil mechanical coefficients on failure mechanisms. The scope of failure block becomes smaller with increase of the parameter A and the range of failure soil mass tends to decrease with decrease of unit weight of the soil and tunnel radius, which verifies the geomechanics and practical case in engineering.

유사변환기법을 이용한 3차원 모델의 개발 (Developing a Three-dimensional Spectral Model Using Similarity Transform Technique)

  • 강관수;소재귀;정경태;선우중호
    • 한국해안해양공학회지
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    • 제5권2호
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    • pp.107-120
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    • 1993
  • 본 논문은 유사변환기법을 이용한 새로운 3차원 연직 모우드 전개 모델의 개발에 대하여 기술한다. 기본방정식을 External 모우드와 Internal 모우드로 분리시킨 다음 Internal 모우드식에 Galerkin 방법을 적용하고 구성되는 행열방정식에 유사변환기법을 적용, 기저함수의 계수 값을 구하였다. 최종 얻어지는 기저함수의 계수 값은 마찰장을 제외하고는 비연계되어 시간 간격의 제약을 거의 받지않고 연직 구조를 구할 수 있기 때문에 경제성면에서 탁월하다. 수립된 모델은 어떤 기저함수라도 적용 가능하나 현 단계에서는 Chebyshev 다항식함수가 사용되었으며, 바람응력은 일정한 것으로 가정하였다. 모델 테스트로서 정상상태의 균일한 바람응력이 가해지는 장방형 Basin에 적용하여 모델의 적용 가능성을 검증하였다.

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Static analysis of functionally graded sandwich plates with porosities

  • Keddouri, Ahemd;Hadji, Lazreg;Tounsi, Abdelouahed
    • Advances in materials Research
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    • 제8권3호
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    • pp.155-177
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    • 2019
  • In this paper, a new displacement based high-order shear deformation theory is introduced for the static response of functionally graded sandwich plate with new definition of porosity distribution taking into account composition and the scheme of the sandwich plate. Unlike any other theory, the number of unknown functions involved is only four, as against five in case of other shear deformation theories. The theory presented is variationally consistent, has strong similarity with classical plate theory in many aspects, does not require shear correction factor, and gives rise to transverse shear stress variation such that the transverse shear stresses vary parabolically across the thickness satisfying shear stress free surface conditions. Material properties of FGM layers are assumed to vary continuously across the plate thickness according to either power-law or sigmoid function in terms of the volume fractions of the constituents. The face layers are considered to be FG across each face thickness while the core is made of a ceramic homogeneous layer. Governing equations are derived from the principle of virtual displacements. The closed-form solution of a simply supported rectangular plate subjected to sinusoidal loading has been obtained by using the Navier method. Numerical results are presented to show the effect of the material distribution, the sandwich plate geometry and the porosity on the deflections and stresses of FG sandwich plates. The validity of the present theory is investigated by comparing some of the present results with other published results.

혼합형 유체요소와 무한요소를 이용한 3차원 축대칭 유체-구조물-지반 상호작용해석 (3-D Axisymmetric Fluid-Structure-Soil Interaction Analysis Using Mixed-Fluid-Element and Infinite-Element)

  • 김재민;장수혁;윤정방
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1999년도 가을 학술발표회 논문집
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    • pp.257-266
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    • 1999
  • This paper presents a method of seismic analysis for a cylindrical liquid storage structure on/in horizontally layered half.space considering the effects of the interior fluid and exterior soil medium in the frequency domain. To capture the essence of fluid-structure-soil interaction effects effectively, a mixed finite element with two-field (u, p) approximation is employed to model the compressive inviscid fluid, while the structure and soil medium are presented by the 3-D axisymmetric finite elements and dynamic infinite elements. The present FE-based method can be applied to the system with complex geometry of fluid region as well as with inhomogeneous near-field soil medium, since it can directly model both the fluid and the soil. For the purpose of verification, dominant peak frequencies in transfer functions for horizontal motions of cylindrical fluid storage tanks with rigid massless foundation on a homogeneous viscoelastic half.space are compared with those by two different added mass approaches for the fluid motion. The comparison indicates that the Present FE-based methodology gives accurate solution for the fluid-structure-soil interaction problem. Finally, as a demonstration of versatility of the present study, a seismic analysis for a real-scale LNG storage tank embedded in layered half.space is carried out, and its member forces along the height of the structure are compared with those by an added mass approach developed by the present writers.

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탄소 나노튜브 나노유체의 열전도도에 대한 연구 (A Study on the Thermal Conductivity of Carbon-Nanotube Nanofluids)

  • 김봉훈
    • 설비공학논문집
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    • 제19권3호
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    • pp.275-283
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    • 2007
  • An experimental study was conducted to investigate the effect of the morphology of CNT (Carbon Nanotube) on the thermal conductivity of suspensions. The effective thermal conductivities of the samples were measured using a steady-state cut bar apparatus method. Enhancements based on the thermal conductivity of the base fluid are presented as functions of both the volume fraction and the temperature. Although functionalized SWNT (Single-Walled Carbon Nanotube) produced more stable and homogeneous suspensions, the addition of small amounts of surfactant to suspensions of 'as produced' SWNT demonstrated a greater increase in effective thermal conductivity than functionalized SWNT alone. The effective thermal conductivity enhancement corresponding to 1.0% by volume approached 10%, which was observed to be lower than expected, but more than twice the values, 3.5%, obtained for similar tests conducted using aluminum oxide suspensions. However, for suspensions of MWNT (Multi-Walled Carbon Nanotube), the degree of enhancement was measured to be approximately 37%. It was postulated that the effect of clustering, resulting from the multiple heat-flow passages constituted by interconnecting neighboring CNT clusters, played an important role in significant enhancement of effective thermal conductivity.

뮬러 적분방정식을 이용한 삼차원 유전체의 전자기 산란 해석 (Analysis of Electromagnetic Scattering from 3-Dimensional Dielectric Objects applying Muller Integral Equation)

  • 박재권;김형진;안종출;정백호
    • 한국전자파학회논문지
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    • 제15권10호
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    • pp.961-968
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    • 2004
  • 본 논문에서는 임의 형상을 가지는 삼차원 유전체의 전자파 산란을 해석하기 위하여 모멘트법을 이용한 뮬러적분방정식의 새로운 해법을 제안한다. 매질이 균일한 유전체 표면을 평면 삼각형 패치로 모델링 하여, RWG (Rao, Wilton, Glisson)함수를 등가 전기 및 자기 전류밀도의 전개함수로 사용한다. 그리고 RWG 함수와 그 직교함수를 조합한 시험함수를 적용한다. 유전체구에 대하여 제안된 방법으로 계산된 수치 결과를 보이고 다른 공식에 의한 결과와도 비교한다.

경사기능재료 사각 판의 열 탄성 변형과 응력 해석 (Thermoelastic deformation and stress analysis of a FGM rectangular Plate)

  • 김귀섭
    • 한국항공우주학회지
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    • 제31권1호
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    • pp.34-41
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    • 2003
  • 경사기능재료 판에 대한 열탄성 변형과 응력 해석을 위해 Green 함수 방법이 채택되었다. 3차원 정상 온도분포에 대한 해는 적층판 이론에 의해 얻어진다. 열탄성 문제에 대한 기본 방정식은 각각 평면의(out-plane) 변형과 평면내(in-plane) 힘에 의해 유도되었다. 굽힙과 평면내 힘으로 인한 열탄성 변형과 응력분포는 Galerkin 방법에 근거한 Green 함수를 이용하여 해석되었다. 열탄성 변형과 응력분포 해석을 위한 Galerkin Green 함수의 특성함수들은 사각판의 제차 경계조건을 만족시키는 허용함수들의 급수 형태로 근사화 되었다. 수치예제가 수행되었으며, 경사기능재료의 물성치가 판의 열탄성 거동에 미치는 영향이 검토되었다.

Development of a fast reactor multigroup cross section generation code EXUS-F capable of direct processing of evaluated nuclear data files

  • Lim, Changhyun;Joo, Han Gyu;Yang, Won Sik
    • Nuclear Engineering and Technology
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    • 제50권3호
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    • pp.340-355
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    • 2018
  • The methods and performance of a fast reactor multigroup cross section (XS) generation code EXUS-F are described that is capable of directly processing Evaluated Nuclear Data File format nuclear data files. RECONR of NJOY is used to generate pointwise XS data, and Doppler broadening is incorporated by the Gauss-Hermite quadrature method. The self-shielding effect is incorporated in the ultrafine group XSs in the resolved and unresolved resonance ranges. Functions to generate scattering transfer matrices and fission spectrum matrices are realized. The extended transport approximation is used in zero-dimensional calculations, whereas the collision probability method and the method of characteristics are used for one-dimensional cylindrical geometry and two-dimensional hexagonal geometry problems, respectively. Verification calculations are performed first for various homogeneous mixtures and cylindrical problems. It is confirmed that the spectrum calculations and the corresponding multigroup XS generations are performed adequately in that the reactivity errors are less than 50 pcm with the McCARD Monte Carlo solutions. The nTRACER core calculations are performed with the EXUS-F-generated 47 group XSs for the two-dimensional Advanced Burner Reactor 1000 benchmark problem. The reactivity error of 160 pcm and the root mean square error of the pin powers of 0.7% indicate that EXUF-F generates properly the broad-group XSs.

최적구조변경법에 의한 자동차 엔진 블록의 중량최소화에 관한 연구 (A Study on the Weight Minimization of an Automobile Engine Block by the Optimum Structural Modification)

  • 김영군;박석주;김성우
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 1997년도 추계학술대회논문집; 한국과학기술회관; 6 Nov. 1997
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    • pp.326-332
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    • 1997
  • Recently to develop an automobile with better prosperities, many researches and investments have been executed. In this paper we intend to improve the automobile properties by reducing the weights of the engine without changing the dynamic characteristics. At first we perform the vibration analysis by the Substructure Synthesis Method and execute the exciting test for the engine model, and observe the coincidences of two results to confirm the reliability of the analyzing tools used. The weight minimization is performed by the Sensitivities of the Natural frequencies of the engine block. To decrease the engine weight ideally, the parts of the sensitivity zero are to be cut mainly, and the changing quantity of natural frequency by the cut is to be recovered by the structural modification for the parts with the good sensitivity. But, as actually the mathematical solution for the homogeneous problem(i.e. 0 object function) do not exist, we hereby redesign the block with much thinner thickness and recover the natural frequencies and natural modes to original structure's by the sensitivity analysis. And the Frequency Response Functions(FRF) are to be observed for the interesting points. In this analysis, the original thickness of the engine model has 8 mm of thickness, and the thickness redesigned is 5 mm and 6 mm. And we are to try to recover the 1, 2, 4, and 5 lower natural frequencies interested.

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A software reliability model with a Burr Type III fault detection rate function

  • Song, Kwang Yoon;Chang, In Hong;Choi, Min Su
    • International Journal of Reliability and Applications
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    • 제17권2호
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    • pp.149-158
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    • 2016
  • We are enjoying a very comfortable life thanks to modern civilization, however, comfort is not guaranteed to us. Development of software system is a difficult and complex process. Therefore, the main focus of software development is on improving the reliability and stability of a software system. We have become aware of the importance of developing software reliability models and have begun to develop software reliability models. NHPP software reliability models have been developed through the fault intensity rate function and the mean value functions within a controlled testing environment to estimate reliability metrics such as the number of residual faults, failure rate, and reliability of the software. In this paper, we present a new NHPP software reliability model with Burr Type III fault detection rate, and present the goodness-of-fit of the fault detection rate software reliability model and other NHPP models based on two datasets of software testing data. The results show that the proposed model fits significantly better than other NHPP software reliability models.