• 제목/요약/키워드: Hyperbolic Analysis Method

검색결과 140건 처리시간 0.027초

대구경 Shield TBM공법에 의한 수영강 하저터널 시공계획 및 시공중 발생되는 거동의 공학적 분석 (Construction Plan by Large Diameter Shield TBM Method and Analysis of Deformation on Site Under Soo-Young River)

  • 윤현돈;황규호;최기훈
    • 한국지반공학회:학술대회논문집
    • /
    • 한국지반공학회 2001년도 봄 학술발표회 논문집
    • /
    • pp.25-32
    • /
    • 2001
  • Doosan Construction & Engineering Co., Ltd is building a railway tunnel beneath the Soo-Young River connecting MinLak Station and Centum City Station, a section 230, subway line 2, Pusan City, Korea. When completed the tunnel will have a finished inner diameter of 6.5m(21.311) throughout its total length of 840m(420m = 0.52 miles, Two Single Track Tunnel : 420m+420m). The ground profile of the face toward shield machine is composed of multi layers, silty clay, clayey gravel, soft rock etc. This research paper is to predict ground deformation and variation of stresses around tunnel using Hyperbolic model, and to reflect the works on the next shield tunneling project. And this research paper is analyzed data of measuring instrument (such as settlement gauge, inclinometer, Multiple extensometer, etc.) which is installed along tunnel line for safety of tunnel. For calculations, the finite difference Method is applied. Backfill grouting material is supposed to have instantly strength of 10kg/$\textrm{cm}^2$ above, although its strength is available after 24 hours passed.

  • PDF

Pack-Drain으로 개량된 점토지반의 거동해석 (A Behavior Ana1ysis of Clayey Foundation Improved with Pack Drain)

  • 오재화;남기현;이문수;허재은;김영남
    • 한국농공학회지
    • /
    • 제38권1호
    • /
    • pp.116-127
    • /
    • 1996
  • This paper dealt with FEM analysis of foundation improved with pack drain. The theory on pack drain was scrutinized and observed values in the field were compared with numerical results. Work site of Kwangyang container pier was selected as a ease study in which measurement of settlement and pore water pressure was accurately carried out. Biot's consolidation equation was selected as governing One, coupled with modified Camclay model as constitutive one. Christian and Boehmer's numerical technique was adopted. Behavior of foundation with pack drain is not simple but very complicated. Discontinuity resulted from rigidity difference between adjacent materials, smear effect and complicated boundary conditions should be considered in the behavior analysis of foundation behavior. The results of numerical analysis were influenced by smear zone. In relevant to this effect, finite element analysis was carried out using the reduced horizontal coefficient of permeability in the smear zone; The numerical results were compared with observed values in surface settlement. including pore water pressure. However only lateral di5plaoement by numerical ana1Ysis was shown since its measurement was not performed in the field. The predication of settlement to be developed later can be effectively employed for the obtimization of construction. The predication of residual settlement using the data measured in the field was made by Hoshino, Asaoka and hyperbolic method. Among them, the hyperbolic method proved best one. Settlements accorded well between numsrical and observed values while pore pressure showed a slight difference. Lateral displacement showed largest values at constant distance from ground surface. The validation of foundation analysis improved with pack drain by computer program employed in this study selecting modified Cam-clay model was satisfactorily secured.

  • PDF

Aerodynamic stability analysis of geometrically nonlinear orthotropic membrane structure with hyperbolic paraboloid in sag direction

  • Xu, Yun-ping;Zheng, Zhou-lian;Liu, Chang-jiang;Wu, Kui;Song, Wei-ju
    • Wind and Structures
    • /
    • 제26권6호
    • /
    • pp.355-367
    • /
    • 2018
  • This paper studies the aerodynamic stability of a tensioned, geometrically nonlinear orthotropic membrane structure with hyperbolic paraboloid in sag direction. Considering flow separation, the wind field around membrane structure is simulated as the superposition of a uniform flow and a continuous vortex layer. By the potential flow theory in fluid mechanics and the thin airfoil theory in aerodynamics, aerodynamic pressure acting on membrane surface can be determined. And based on the large amplitude theory of membrane and D'Alembert's principle, interaction governing equations of wind-structure are established. Then, under the circumstance of single-mode response, the Bubnov-Galerkin approximate method is applied to transform the complicated interaction governing equations into a system of second-order nonlinear differential equation with constant coefficients. Through judging the frequency characteristic of the system characteristic equation, the critical velocity of divergence instability is determined. Different parameter analysis shows that the orthotropy, geometrical nonlinearity and scantling of structure is significant for preventing destructive aerodynamic instability in membrane structures. Compared to the model without considering flow separation, it's basically consistent about the divergence instability regularities in the flow separation model.

Buckling analysis of new quasi-3D FG nanobeams based on nonlocal strain gradient elasticity theory and variable length scale parameter

  • Houari, Mohammed Sid Ahmed;Bessaim, Aicha;Bernard, Fabrice;Tounsi, Abdelouahed;Mahmoud, S.R.
    • Steel and Composite Structures
    • /
    • 제28권1호
    • /
    • pp.13-24
    • /
    • 2018
  • A size-dependent novel hyperbolic shear deformation theory of simply supported functionally graded beams is presented in the frame work of the non-local strain gradient theory, in which the stress accounts for only the nonlocal strain gradients stress field. The thickness stretching effect (${\varepsilon}_z{\neq}0$) is also considered here. Elastic coefficients and length scale parameter are assumed to vary in the thickness direction of functionally graded beams according to power-law form. The governing equations are derived using the Hamilton principle. The closed-form solutions for exact critical buckling loads of nonlocal strain gradient functionally graded beams are obtained using Navier's method. The derived results are compared with those of strain gradient theory.

Schwinger Pair Production via Polons and the Origin of Stokes Phenomena

  • Kim, Sang Pyo
    • 새물리
    • /
    • 제68권11호
    • /
    • pp.1225-1230
    • /
    • 2018
  • Schwinger pair production of electrons and positrons in a strong electric field is a prediction of nonperturbative quantum field theory, in which the out-vacuum is superposed of multi-particle states of the in-vacuum. Solving the Dirac or Klein-Gordon equation in the background field, though a linear wave equation, and finding the pair-production rate is a difficult or nontrivial job. The phase-integral method has recently been introduced to compute the pair production in space-dependent electric fields, and a complex analysis method has been employed to calculate the pair production in time-dependent electric fields. In this paper, we apply the complex analysis method to a Sauter-type electric field and other hyperbolic-type electric fields that vanish in the past and future and show that the Stokes phenomena in pair production occur when the time-dependent frequency for a given momentum has finite simple poles (polons) with pure imaginary residues.

FDDO를 이용한 실린더를 지나는 희박기체의 해석 (A Numerical Analysis of Rarefied Flow of Cylinder Using FDDO)

  • 안무영;장근식
    • 한국전산유체공학회:학술대회논문집
    • /
    • 한국전산유체공학회 1998년도 춘계 학술대회논문집
    • /
    • pp.138-144
    • /
    • 1998
  • The BGK equation, which is the kinetic model equation of Boltzmann equation, is solved using FDDO(finite difference with the discrete-ordinate method) to compute the rarefied flow of monatomic gas. Using reduced velocity distribution and discrete ordinate method, the scalar equation is transformed into a system of hyperbolic equations. High resolution ENO(Essentially Non-Oscillatory) scheme based on Harten-Yee's MFA(Modified Flux Approach) method with Strang-type explicit time integration is applied to solve the system equations. The calculated results are well compared with the experimental density field of NACA0012 airfoil, validating the developed computer code. Next. the computed results of circular cylinder flow for various Knudsen numbers are compared with the DSMC(Direct Simulation Monte Carlo) results by Vogenitz et al. The present scheme is found to be useful and efficient far the analysis of two-dimensional rarefied gas flows, especially in the transitional flow regime, when compared with the DSMC method.

  • PDF

최소자승법과 Level-set 방법을 이용한 3차원 슬로싱 유동의 수치해석 (Numerical analysis of three-dimensional sloshing flow using least-square and level-set method)

  • 최형권
    • 대한기계학회:학술대회논문집
    • /
    • 대한기계학회 2008년도 추계학술대회B
    • /
    • pp.2401-2405
    • /
    • 2008
  • In the present study, a three-dimensional least square/level set based two-phase flow code was developed for the simulation of three-dimensional sloshing problems using finite element discretization. The present method can be utilized for the analysis of a free surface flow problem in a complex geometry due to the feature of FEM. Since the finite element method is employed for the spatial discretization of governing equations, an unstructured mesh can be naturally adopted for the level set simulation of a free surface flow without an additional load for the code development except that solution methods of the hyperbolic type redistancing and advection equations of the level set function should be devised in order to give a bounded solution on the unstructured mesh. From the numerical experiments of the present study, it is shown that the proposed method is both robust and accurate for the simulation of three-dimensional sloshing problems.

  • PDF

Shifting-Level Process에 기반한 영상트래픽 모델 (1부: 모델링과 대기체계 영향 분석) (A Video Traffic Model based on the Shifting-Level Process (Part I : Modeling and the Effects of SRD and LRD on Queueing Behavior))

  • 안희준;강상혁;김재균
    • 한국통신학회논문지
    • /
    • 제24권10B호
    • /
    • pp.1971-1978
    • /
    • 1999
  • 본 논문에서는‘shifting-level (SL) process’을 기초로 한 모델을 사용하여, VBR 부호화된 영상트래픽의 long-range dependence (LRD) 특성이 대기체계에 미치는 영향에 대해서 연구하였다. 연구 내용은 제1부와 제2부로 나누어 전개된다. 제 1부에서는 실제 영상트래픽의 자기상관함수가 exponential과 hyperbolic의 복합함수로 매우 정확히 표현될 수 있음을 보이고, 이러한 조건을 만족하는 SL process with compound correlations(SLCC)를 제안한다. 대표적인 SRD 모델인 DAR(1)모델과의 대기성능 비교를 통하여 hyperbolic한 상관도가 대기체계에 끼치는 영향을 분석한다. 분석결과 영상의 LRD 특성이 대기체계에 끼치는 영향의 중요도는 단순히‘Yes/No’로 답할 수 없으며, 트래픽 부하가 높아지면 그 영향이 강하게 나타나고, 반대로 트래픽 부하가 낮은 경우에는 무시할 수 있을 정도로 약하게 나타남을 알 수 있다. 여기에 사용하는 SL/D/1/K 대기체계의 해석방법을 제2부에서 다루게 된다.

  • PDF

유한요소법을 이용한 level set 공식화의 해석 (FINITE ELEMENT ANALYSIS OF LEVEL SET FORMULATION)

  • 최형권
    • 한국전산유체공학회:학술대회논문집
    • /
    • 한국전산유체공학회 2009년 추계학술대회논문집
    • /
    • pp.223-227
    • /
    • 2009
  • In the present study, a least square weighted residual method and Taylor-Galerkin method were formulated and tested for the discretization of the two hyperbolic type equations of level set method; advection and reinitialization equations. The two approaches were compared by solving a time reversed vortex flow and three-dimensional broken dam flow by employing a four-step splitting finite element method for the solution of the incompressible Navier-Stokes equations. From the numerical experiments, it was shown that the least square method is more accurate and conservative than Taylor-Galerkin method and both methods are approximately first order accurate when both advection and reinitialization phase are involved in the evolution of free surface.

  • PDF

Taylor-Galerkin/level-set 방법을 이용한 자유 표면의 병렬 유한 요소 해석 (Parallel finite element simulation of free surface flows using Taylor-Galerkin/level-set method)

  • 안영규;최형권;조명환;유정열
    • 대한기계학회:학술대회논문집
    • /
    • 대한기계학회 2008년도 추계학술대회B
    • /
    • pp.2558-2561
    • /
    • 2008
  • In the present study, a parallel Taylor-Galerkin/level set based two-phase flow code was developed using finite element discretization and domain decomposition method based on MPI (Message Passing Interface). The proposed method can be utilized for the analysis of a large scale free surface problem in a complex geometry due to the feature of FEM and domain decomposition method. Four-step fractional step method was used for the solution of the incompressible Navier-Stokes equations and Taylor-Galerkin method was adopted for the discretization of hyperbolic type redistancing and advection equations. A Parallel ILU(0) type preconditioner was chosen to accelerate the convergence of a conjugate gradient type iterative solvers. From the present parallel numerical experiments, it has been shown that the proposed method is applicable to the simulation of large scale free surface flows.

  • PDF