• 제목/요약/키워드: Direct Boundary Element Method

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복합 경계면요소 수치해석에 의한 매립지 안정성 해석 (Stability Analysis of Waste Landfill Using Multi-interface Element Numerical Method)

  • 장연수;김홍석
    • 한국지반공학회논문집
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    • 제20권4호
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    • pp.29-38
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    • 2004
  • 본 연구에서는 복합 경계면요소를 이용한 비선형 응력-변형 모델을 이용하여 쓰레기 매립지의 안정성해석을 수행하였다. 쓰레기 매립층의 응력-변형 거동 특성은 국내외 쓰레기의 삼축압축 강도시험 수행결과로써 결정하였고, 경계면 요소의 모델 변수 값은 여러 가지 차수재의 전단시험 결과를 적용하였다. 해석방법에 대한 검증을 위하여 국내 페기물 관리법에 준하는 매립지 모델을 선정하여 안정성해석을 실시하였다. 쓰레기에 대한 삼축압축시험과 토목섬유재에 대한 응력-변형 특성을 분석한 결과 쓰레기는 선형거동을 그리고 토목섬유는 비선형거동을 나타내는 것으로 나타났다. 경계면요소를 이용한 복합차수층 매립지의 안정성 해석결과 매립지 바닥면과 사면의 경계부에서 응력집중과 차수계의 전단변위가 크게 나타나 토목섬유라이너가 포설된 복합차수층의 경우는 복합 경계면 요소가 적용된 해석이 필요함을 알 수 있었다.

Estimation of the excavation damage zone in TBM tunnel using large deformation FE analysis

  • Kim, Dohyun;Jeong, Sangseom
    • Geomechanics and Engineering
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    • 제24권4호
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    • pp.323-335
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    • 2021
  • This paper aims to estimate the range of the excavation damaged zone (EDZ) formation caused by the tunnel boring machine (TBM) advancement through dynamic three-dimensional large deformation finite element analysis. Large deformation analysis based on Coupled Eulerian-Lagrangian (CEL) analysis is used to accurately simulate the behavior during TBM excavation. The analysis model is verified based on numerous test results reported in the literature. The range of the formed EDZ will be suggested as a boundary under various conditions - different tunnel diameter, tunnel depth, and rock type. Moreover, evaluation of the integrity of the tunnel structure during excavation has been carried out. Based on the numerical results, the apparent boundary of the EDZ is shown to within the range of 0.7D (D: tunnel diameter) around the excavation surface. Through series of numerical computation, it is clear that for the rock of with higher rock mass rating (RMR) grade (close to 1st grade), the EDZ around the tunnel tends to increase. The size of the EDZ is found to be direct proportional to the tunnel diameter, whereas the depth of the tunnel is inversely proportional to the magnitude of the EDZ. However, the relationship between the formation of the EDZ and the stability of the tunnel was not found to be consistent. In case where the TBM excavation is carried out in hard rock or rock under high confinement (excavation under greater depth), large range of the EDZ may be formed, but less strain occurs along the excavation surface during excavation and is found to be more stable.

Fast Evaluation of Sound Radiation by Vibrating Structures with ACIRAN/AR

  • Migeot, Jean-Louis;Lielens, Gregory;Coyette, Jean-Pierre
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2008년도 추계학술대회논문집
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    • pp.561-562
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    • 2008
  • The numerical analysis of sound radiation by vibrating structure is a well known and mature technology used in many industries. Accurate methods based on the boundary or finite element method have been successfully developed over the last two decades and are now available in standard CAE tools. These methods are however known to require significant computational resources which, furthermore, very quickly increase with the frequency of interest. The low speed of most current methods is a main obstacle for a systematic use of acoustic CAE in industrial design processes. In this paper we are going to present a set of innovative techniques that significantly speed-up the calculation of acoustic radiation indicators (acoustic pressure, velocity, intensity and power; contribution vectors). The modeling is based on the well known combination of finite elements and infinite elements but also combines the following ingredients to obtain a very high performance: o a multi-frontal massively parallel sparse direct solver; o a multi-frequency solver based on the Krylov method; o the use of pellicular acoustic modes as a vector basis for representing acoustic excitations; o the numerical evaluation of Green functions related to the specific geometry of the problem under investigation. All these ingredients are embedded in the ACTRAN/AR CAE tool which provides unprecedented performance for acoustic radiation analysis. The method will be demonstrated on several applications taken from various industries.

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유한요소법에 의한 과도연성 열탄성 해석 (Transient coupled thermoelastic analysis by finite element method)

  • 이태원;심우진
    • 대한기계학회논문집
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    • 제14권6호
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    • pp.1408-1416
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    • 1990
  • 본 연구에서는 과도 연성 열탄성문제의 해를 구할때 사용되는 직접시간적분방 법과 Laplace 변환방법은 상호 장 단점을 가지고 있다. 각 방법들의 장단점은 서로 배타적이므로 서로의 장점을 살리는 수치방법이 필요하다. 그런데, 대부분의 과도 열탄성문제는 급격한 온도변화로 인한 물체의 변형에 관심이 있기때문에 이 형태의 문 제를 효율적으로 다루는 데 주안점을 두고 본 연구를 수행하였다. 유도된 유한요소 방정식은 결국 열탄성 지배 방정식 중 열전달방정식인 에너지보존식은 Gurtin의 범함 수로부터 유도된 원래의 형태를 사용하나 수치적 안정성(numerical stability)을 보장 하기 위하여 운동방정식은 시간에 대한 2차미분 형태로 수정하였다. 에너지보존식은 시간에 대한 합성적분(convolution)형태로 표현되므로 온도의 시간미분항이 소거되므 로 경계에서의 급격한 온도변화로 인한 수치 해석적 문제점은 간단히 해결된다. 그 러므로, 제안된 수치해법은 직접시간적분방법의 일종이나 결과식인 유한요소방정식은 기존의 문헌들과 상당한 차이가 있다. 과도 연성 열탄성해석을 위한 새로운 근사수 치해법의 장점을 이론적으로 설명하기보다 수치계산면에서의 안전성, 정확성 및 효율 성이 있음을 증명하기 위하여 이미 발표된 문헌들에서 다룬 예제를 선정하여 해석결과 를 비교하였다.

불포화 강도 유실에 의한 지반함몰 현상의 모형 실험 재현 및 일반 보간 재료점법을 활용한 수치적 모사 (Model Tests and GIMP (Generalized Interpolation Material Point Method) Simulations of Ground Cave-ins by Strength Reduction due to Saturation)

  • 이민호;우상인;정충기
    • 한국지반공학회논문집
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    • 제33권12호
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    • pp.93-105
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    • 2017
  • 본 연구에서는 하수관 손상에 의한 지반함몰 발생 과정에서 지반의 포화도 상승에 따른 흙의 불포화 강도 저하의 영향을 파악하기 위하여, 직접 전단 실험, 모형 실험, 그리고 수치해석을 수행하였다. 직접 전단 시험 결과, 흙의 마찰각은 포화도의 영향을 크게 받지 않으나, 점착력은 포화도의 영향을 크게 받음을 알 수 있다. 포화도 상승에 따른 강도저하의 영향만을 고려하기 위하여, 물의 침투효과를 배제한 모형 실험을 실시하여 지반 함몰 현상을 재현하였다. 지반 함몰은 대변위를 동반하며, 기존 유한요소법의 적용이 어렵다. 본 연구에서는 대변위 해석 기법인 일반 보간 재료점법을 사용하여 수행한 모형실험을 수치적으로 모사하였다. 비록 경계 조건 차이, 불완전 포화, 손상부 연결관의 폐색등에 의해 함몰 시간 등에는 차이가 있었지만, 유사한 토체의 변형 거동이 모형 실험과 수치해석에서 발견되었다.

Stochastic thermo-mechanically induced post buckling response of elastically supported nanotube-reinforced composite beam

  • Chaudhari, Virendra Kumar;Shegokar, Niranjan L.;Lal, Achchhe
    • Advances in aircraft and spacecraft science
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    • 제4권5호
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    • pp.585-611
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    • 2017
  • This article covenants with the post buckling witticism of carbon nanotube reinforced composite (CNTRC) beam supported with an elastic foundation in thermal atmospheres with arbitrary assumed random system properties. The arbitrary assumed random system properties are be modeled as uncorrelated Gaussian random input variables. Unvaryingly distributed (UD) and functionally graded (FG) distributions of the carbon nanotube are deliberated. The material belongings of CNTRC beam are presumed to be graded in the beam depth way and appraised through a micromechanical exemplary. The basic equations of a CNTRC beam are imitative constructed on a higher order shear deformation beam (HSDT) theory with von-Karman type nonlinearity. The beam is supported by two parameters Pasternak elastic foundation with Winkler cubic nonlinearity. The thermal dominance is involved in the material properties of CNTRC beam is foreseen to be temperature dependent (TD). The first and second order perturbation method (SOPT) and Monte Carlo sampling (MCS) by way of CO nonlinear finite element method (FEM) through direct iterative way are offered to observe the mean, coefficient of variation (COV) and probability distribution function (PDF) of critical post buckling load. Archetypal outcomes are presented for the volume fraction of CNTRC, slenderness ratios, boundary conditions, underpinning parameters, amplitude ratios, temperature reliant and sovereign random material properties with arbitrary system properties. The present defined tactic is corroborated with the results available in the literature and by employing MCS.

Stochastic hygrothermoelectromechanical loaded post buckling analysis of piezoelectric laminated cylindrical shell panel

  • Lal, Achchhe;Saidane, Nitesh;Singh, B.N.
    • Smart Structures and Systems
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    • 제9권6호
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    • pp.505-534
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    • 2012
  • The present work deals with second order statistics of post buckling response of piezoelectric laminated composite cylindrical shell panel subjected to hygro-thermo-electro-mechanical loading with random system properties. System parameters such as the material properties, thermal expansion coefficients and lamina plate thickness are assumed to be independent of the temperature and electric field and modeled as random variables. The piezoelectric material is used in the forms of layers surface bonded on the layers of laminated composite shell panel. The mathematical formulation is based on higher order shear deformation shell theory (HSDT) with von-Karman nonlinear kinematics. A efficient $C^0$ nonlinear finite element method based on direct iterative procedure in conjunction with a first order perturbation approach (FOPT) is developed for the implementation of the proposed problems in random environment and is employed to evaluate the second order statistics (mean and variance) of the post buckling load of piezoelectric laminated cylindrical shell panel. Typical numerical results are presented to examine the effect of various environmental conditions, amplitude ratios, electrical voltages, panel side to thickness ratios, aspect ratios, boundary conditions, curvature to side ratios, lamination schemes and types of loadings with random system properties. It is observed that the piezoelectric effect has a significant influence on the stochastic post buckling response of composite shell panel under various loading conditions and some new results are presented to demonstrate the applications of present work. The results obtained using the present solution approach is validated with those results available in the literature and also with independent Monte Carlo Simulation (MCS).

Assessment of effect of material properties on seismic response of a cantilever wall

  • Cakir, Tufan
    • Geomechanics and Engineering
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    • 제13권4호
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    • pp.601-619
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    • 2017
  • Cantilever retaining wall movements generally depend on the intensity and duration of ground motion, the response of the soil underlying the wall, the response of the backfill, the structural rigidity, and soil-structure interaction (SSI). This paper investigates the effect of material properties on seismic response of backfill-cantilever retaining wall-soil/foundation interaction system considering SSI. The material properties varied include the modulus of elasticity, Poisson's ratio, and mass density of the wall material. A series of nonlinear time history analyses with variation of material properties of the cantilever retaining wall are carried out by using the suggested finite element model (FEM). The backfill and foundation soil are modelled as an elastoplastic medium obeying the Drucker-Prager yield criterion, and the backfill-wall interface behavior is taken into consideration by using interface elements between the wall and soil to allow for de-bonding. The viscous boundary model is used in three dimensions to consider radiational effect of the seismic waves through the soil medium. In the seismic analyses, North-South component of the ground motion recorded during August 17, 1999 Kocaeli Earthquake in Yarimca station is used. Dynamic equations of motions are solved by using Newmark's direct step-by-step integration method. The response quantities incorporate the lateral displacements of the wall relative to the moving base and the stresses in the wall in all directions. The results show that while the modulus of elasticity has a considerable effect on seismic behavior of cantilever retaining wall, the Poisson's ratio and mass density of the wall material have negligible effects on seismic response.

Numerical simulation of the coupled dynamic response of a submerged floating tunnel with mooring lines in regular waves

  • Cifuentes, Cristian;Kim, Seungjun;Kim, M.H.;Park, W.S.
    • Ocean Systems Engineering
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    • 제5권2호
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    • pp.109-123
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    • 2015
  • In the present study, the coupled dynamic response of a Submerged Floating Tunnel (SFT) and mooring lines under regular waves is solved by using two independent numerical simulation methods, OrcaFlex and CHARM3D, in time domain. Variations of Buoyancy to Weight Ratio (BWR), wave steepness/period, and water/submergence depth are considered as design and environmental parameters in the study. Two different mooring-line configurations, vertical and inclined, are studied to find an optimum design in terms of limiting tunnel motions and minimizing mooring-line tension. The numerical results are successfully validated by direct comparison against published experimental data. The results show that tunnel motions and tether tensions grow with wave height and period and decrease with submergence depth. The inclined mooring system is more effective in restricting tunnel motions compared to the vertical mooring system. Overall, the present study demonstrates the feasibility of this type of structure as an alternative to traditional bridges or under-seabed tunnels.

폰툰형 초대형 부유체식 부두의 파랑응답해석 (Wave Response Analysis for Pontoon-type Pier: Very Large Floating Structure)

  • 이상도;박성현;공길영
    • 해양환경안전학회지
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    • 제22권1호
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    • pp.82-89
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    • 2016
  • 본 연구에서는 국내 여수항만에 길이 500미터, 폭 200미터, 두께 2미터인 폰툰형 VLFS타입의 해상부두를 제안하였다. 이 구조물은 해상에서 오랫동안 파랑하중을 견뎌야하므로 파랑응답해석이 필수적이다. 유체-구조부 해석에는 직접법을 사용하였고, 연성운동방정식을 수치해석하여 응답 결과를 구하였다. 구조부는 유한요소법을 이용하여 계산하였으며, 유체부는 경계요소법을 사용하여 분석하였다. 탄성변형과 강체운동으로 인한 동적응답을 수치적으로 분석하였으며, 파장, 수심, 파향, 구조물의 강성 요소를 고려하여 규칙파에 대한 응답을 해석하였다. 연구의 결과, $L/{\lambda}$ 1.5를 기준으로 응답이 변화하였고, 입사파의 방향에 따라 비틀림 현상이 나타났다. $L/{\lambda}=8.0$의 경우 수심이 증가할수록 입사측에서의 응답이 증가하는 경향이 나타났고, 강성의 변화에 따라 수직변위진폭의 피크점이 좌우로 이동하였다.