• 제목/요약/키워드: time-domain boundary element method

검색결과 123건 처리시간 0.027초

Use of infinite elements in simulating liquefaction phenomenon using coupled approach

  • Kumari, Sunita;Sawant, V.A.
    • Coupled systems mechanics
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    • 제2권4호
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    • pp.375-387
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    • 2013
  • Soils consist of an assemblage of particles with different sizes and shapes which form a skeleton whose voids are filled with water and air. Hence, soil behaviour must be analyzed by incorporating the effects of the transient flow of the pore-fluid through the voids, and therefore requires a two-phase continuum formulation for saturated porous media. The present paper presents briefly the Biot's basic theory of dynamics of saturated porous media with u-P formulation to determine the responses of pore fluid and soil skeleton during cyclic loading. Kelvin elements are attached to transmitting boundary. The Pastor-Zienkiewicz-Chan model has been used to describe the inelastic behavior of soils under isotropic cyclic loadings. Newmark-Beta method is employed to discretize the time domain. The response of fluid-saturated porous media which are subjected to time dependent loads has been simulated numerically to predict the liquefaction potential of a semi-infinite saturated sandy layer using finite-infinite elements. A settlement of 17.1 cm is observed at top surface. It is also noticed that liquefaction occurs at shallow depth. The mathematical advantage of the coupled finite element analysis is that the excess pore pressure and displacement can be evaluated simultaneously without using any empirical relationship.

EXISTENCE OF SOLUTION OF FINITE SYSTEM OF ORDINARY DIFFERENTIAL EQUATIONS

  • Ohm, Mi-Ray
    • 대한수학회보
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    • 제31권2호
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    • pp.309-318
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    • 1994
  • The approach presented in this paper is based on the transformation of the Stefan problem in one space dimension to an initial-boundary value problem for the heat equation in a fixed domain. Of course, the problem is non-linear. The finite element approximation adopted here is the standared continuous Galerkin method in time. In this paper, only the regular case is discussed. This means the error analysis is based on the assumption that the solution is sufficiently smooth. The aim of this paper is the existence of the solution in a finite Galerkin system of ordinary equations.

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온도변화로 인해 고분자 박막에 발생하는 열응력 해석 (Analysis of Thermal Stresses Induced in Polymeric Thin Layer Due to Temperature Change)

  • 이상순
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2002년도 가을 학술발표회 논문집
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    • pp.146-152
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    • 2002
  • In this study, the singular thermal stresses induced during cooling down from high temperature to room temperature have been analyzed for the viscoelastic thin layer. The time domain boundary element method has been employed to investigate the behavor of stresses for the whole interface. Within the context of a linear viscoelastic theory, a stress singularity exists at the point where the interface between the elastic substrate and the viscoelastic thin layer intersects the free surface.

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고분자 박막에서의 열응력 해석 (Analysis of Thermal Stresses in Polymeric Thin Film)

  • 이상순
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2003년도 가을 학술발표회 논문집
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    • pp.389-394
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    • 2003
  • In this study, the stress singularity factors generated during cooling down from high curing temperature to room temperature have been analyzed for the viscoelastic thin film. The time domain boundary element method has been employed to investigate the behavior of stresses for the whole interface. Within the context of a linear viscoelastic theory, a stress singularity exists at the point where the interface between the elastic substrate and the viscoelastic thin film intersects the free surface.

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Hydro-elastic analysis of marine propellers based on a BEM-FEM coupled FSI algorithm

  • Lee, Hyoungsuk;Song, Min-Churl;Suh, Jung-Chun;Chang, Bong-Jun
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제6권3호
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    • pp.562-577
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    • 2014
  • A reliable steady/transient hydro-elastic analysis is developed for flexible (composite) marine propeller blade design which deforms according to its environmental load (ship speed, revolution speed, wake distribution, etc.) Hydro-elastic analysis based on CFD and FEM has been widely used in the engineering field because of its accurate results however it takes large computation time to apply early propeller design stage. Therefore the analysis based on a boundary element method-Finite Element Method (BEM-FEM) Fluid-Structure Interaction (FSI) is introduced for computational efficiency and accuracy. The steady FSI analysis, and its application to reverse engineering, is designed for use regarding optimum geometry and ply stack design. A time domain two-way coupled transient FSI analysis is developed by considering the hydrodynamic damping ffects of added mass due to fluid around the propeller blade. The analysis makes possible to evaluate blade strength and also enable to do risk assessment by estimating the change in performance and the deformation depending on blade position in the ship's wake. To validate this hydro-elastic analysis methodology, published model test results of P5479 and P5475 are applied to verify the steady and the transient FSI analysis, respectively. As the results, the proposed steady and unsteady analysis methodology gives sufficient accuracy to apply flexible marine propeller design.

Obliquely incident earthquake for soil-structure interaction in layered half space

  • Zhao, Mi;Gao, Zhidong;Wang, Litao;Du, Xiuli;Huang, Jingqi;Li, Yang
    • Earthquakes and Structures
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    • 제13권6호
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    • pp.573-588
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    • 2017
  • The earthquake input is required when the soil-structure interaction (SSI) analysis is performed by the direct finite element method. In this paper, the earthquake is considered as the obliquely incident plane body wave arising from the truncated linearly elastic layered half space. An earthquake input method is developed for the time-domain three-dimensional SSI analysis. It consists of a new site response analysis method for free field and the viscous-spring artificial boundary condition for scattered field. The proposed earthquake input method can be implemented in the process of building finite element model of commercial software. It can result in the highly accurate solution by using a relatively small SSI model. The initial condition is considered for the nonlinear SSI analysis. The Daikai subway station is analyzed as an example. The effectiveness of the proposed earthquake input method is verified. The effect of the obliquely incident earthquake is studied.

Transient soil-structure interaction with consistent description of radiation damping

  • Zulkifli, Ediansjah;Ruge, Peter
    • Structural Engineering and Mechanics
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    • 제33권1호
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    • pp.47-66
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    • 2009
  • Radiation damping due to wave propagation in unbounded domains may cause a significant reduction of structural vibrations when excited near resonance. Here a novel matrix-valued algebraic Pad$\acute{e}$-like stiffness formulation in the frequency-domain and a corresponding state equation in the time domain are elaborated for a soil-structure interaction problem with a layered soil excited in a transient manner by a flexible rotor during startup and shutdown. The contribution of radiation damping caused by a soil-layer upon a rigid bedrock is characterized by the corresponding amount of critical damping as it is used in structural dynamics.

구조동역학-열탄성학 연성문제의 유한요소 정식화 및 분류 (The Finite Element Formulation and Its Classification of Dynamic Thermoelastic Problems of Solids)

  • Yun, Seong-Ho
    • 한국전산구조공학회논문집
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    • 제13권1호
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    • pp.37-49
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    • 2000
  • 본 논문은 구조물의 동역학 및 열탄성 연성문제 해석을 위한 통합된 유한요소법을 개발하는데 초점을 두고있다. 첫째로, 열전도 방정식에 열변위라는 물리량을 도입하여 동역학의 운동 방정식과 유사하도록 유도한 후, 변분법과 일반좌표계를 이용하여 시간영역에서 정식화하였다. 둘째로, 두 방정식에 라플라스 변환을 동시에 도입하고, 공간변수만을 갖는 형상함수와 가중잔여법을 적용하여 유한요소식을 변환영역에서 표현하였다. 연성된 방정식을 문제의 특성에 따라서 분류하였고 정식화 과정을 검증하였다. 또한 수치해석 알고리듬이 갖는 수치 역 변환의 정성적인 경향에 대하여 검토하였다.

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시간영역패널법을 사용한 3차원 날개의 동적지면효과 연구 (A Study on the Dynamic Ground Effect on Three-Dimensional Wings Using a Time Domain Panel Method)

  • 한철희;조진수
    • 한국항공우주학회지
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    • 제30권4호
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    • pp.10-17
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    • 2002
  • 간접 경계요소법 (비정상패널법)을 사용하여 3차원 날개의 동적 지면효과에 대한 연구를 수행하였다. Green 정리를 사용하여 경계표면에 대한 적분방정식을 얻었다. 일정강도의 용출 및 용흡중첩을 날개표면에 분포시켰고 후류는 일정강도의 용흡중첩으로 나타내었다. 매 시간간격마다 한 행의 후류 패널들이 날개의 후연에서 하류로 대류한다고 가정하였다. 지면효과를 받는 날개의 익단 와류가 날개길이방향으로 이동하였다. 동적 지면효과를 받는 날개가 가지는 공력계수의 진폭 값이 정적 지면효과를 받는 날개의 경우보다 더욱 증가하였다.

모리슨 항력을 고려한 파랑 중 TLP 거동 특성 연구 (Numerical Study on Wave-Induced Motion Response of Tension Leg Platform in Waves)

  • 조윤상;남보우;홍사영;김진하;김현조
    • 한국해양공학회지
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    • 제28권6호
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    • pp.508-516
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    • 2014
  • A numerical method to investigate the non-linear motion characteristics of a TLP is established. A time domain simulation that includes the memory effect using the convolution integral is used to consider the transient effect of TLP motion. The hydrodynamic coefficients and wave force are calculated using a potential flow model based on the HOBEM(higher order boundary element method). The viscous drag force acting on the platform and tendons is also considered by using Morison’s drag. The results of the present numerical method are compared with experimental data. The focus is the nonlinear effect due to the viscous drag force on the TLP motion. The ringing, springing, and drift motion are due to the drag force based on Morison's formula.