• 제목/요약/키워드: Equilibrium problems

검색결과 357건 처리시간 0.02초

Partitioned analysis of nonlinear soil-structure interaction using iterative coupling

  • Jahromi, H. Zolghadr;Izzuddin, B.A.;Zdravkovic, L.
    • Interaction and multiscale mechanics
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    • 제1권1호
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    • pp.33-51
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    • 2008
  • This paper investigates the modelling of coupled soil-structure interaction problems by domain decomposition techniques. It is assumed that the soil-structure system is physically partitioned into soil and structure subdomains, which are independently modelled. Coupling of the separately modelled partitioned subdomains is undertaken with various algorithms based on the sequential iterative Dirichlet-Neumann sub-structuring method, which ensures compatibility and equilibrium at the interface boundaries of the subdomains. A number of mathematical and computational characteristics of the coupling algorithms, including the convergence conditions and choice of algorithmic parameters leading to enhanced convergence of the iterative method, are discussed. Based on the presented coupling algorithms a simulation environment, utilizing discipline-oriented solvers for nonlinear structural and geotechnical analysis, is developed which is used here to demonstrate the performance characteristics and benefits of various algorithms. Finally, the developed tool is used in a case study involving nonlinear soil-structure interaction analysis between a plane frame and soil subjected to ground excavation. This study highlights the relative performance of the various considered coupling algorithms in modelling real soil-structure interaction problems, in which nonlinearity arises in both the structure and the soil, and leads to important conclusions regarding their adequacy for such problems as well as the prospects for further enhancements.

TWO STEP ALGORITHM FOR SOLVING REGULARIZED GENERALIZED MIXED VARIATIONAL INEQUALITY PROBLEM

  • Kazmi, Kaleem Raza;Khan, Faizan Ahmad;Shahza, Mohammad
    • 대한수학회보
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    • 제47권4호
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    • pp.675-685
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    • 2010
  • In this paper, we consider a new class of regularized (nonconvex) generalized mixed variational inequality problems in real Hilbert space. We give the concepts of partially relaxed strongly mixed monotone and partially relaxed strongly $\theta$-pseudomonotone mappings, which are extension of the concepts given by Xia and Ding [19], Noor [13] and Kazmi et al. [9]. Further we use the auxiliary principle technique to suggest a two-step iterative algorithm for solving regularized (nonconvex) generalized mixed variational inequality problem. We prove that the convergence of the iterative algorithm requires only the continuity, partially relaxed strongly mixed monotonicity and partially relaxed strongly $\theta$-pseudomonotonicity. The theorems presented in this paper represent improvement and generalization of the previously known results for solving equilibrium problems and variational inequality problems involving the nonconvex (convex) sets, see for example Noor [13], Pang et al. [14], and Xia and Ding [19].

전위모델 을 이용한 2차원 응력해석 (2-D Stress Analysis by a Dislocation Model)

  • 구인회
    • 대한기계학회논문집
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    • 제9권1호
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    • pp.10-17
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    • 1985
  • 본 논문의 목적은 앞서의 크랙대신 2차원 탄성문제의 경계를 따라 절편적인 전위(discrete edge dislocation)를 분포시켜 경계응력과 평형을 이루는 전위벡타의 크기를 얻고 이들로 부터 영역내 임의의 점에서 응력을 얻는데 있다. 크랙에 대한 전위이론의 적용에서와는 달리 여기서는 경계가 폐곡선을 이루므로 이에따른 전위분 포 방법이 논의 되었다. 또한 이 방법의 실용성을 알기위해 4가지 경우에 적용되 어 얻어진 수치해의 특성이 개별적으로 검토 되었다. 이들 경우에 대해서는 전위 분포법이 유한요소법에 비해 효율적이었다. 이 방법의 확장, 개선점, 일반적인 평 가 특히 계산능률면에서 다른 수치적 방법과의 광범위한 비교평가등이 앞으로 연구될 수 있는 과제라고 판단된다.

WTO/NAMA협상 대비 국제명태시장에서의 우리나라 경쟁력 (Competitiveness of Korea in World Pollack Markets for WTO/NAMA Negotiation)

  • 장영수;송정헌
    • 수산경영론집
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    • 제37권2호
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    • pp.85-109
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    • 2006
  • This study is aimed to investigate the structure of world pollack markets and the position/competitiveness or Korea for WTO/NAMA Negotiation. First or all, it is clearly pointed out that many limitations and problems are inherent in FAO statistics that is widely utilized to investigate the structure of international seafood markets. Especially, it is impossible to find not only the data for Russia that is the top production and export country of pollack, but also the data for importing/exporting countries for pollack. In order to make up for these problems, the data for export and import of major countries are collected and analyzed. The results of analysis show the followings. First, it is clearly investigated that classification of fish products are different for countries. Second, it is understood the structure of international pollack market in actuality. The pollack market is segmented by frozen, fresh, dried, fillet, roe, surimi, etc. In addition, the pollack market has grown as much as 600,000 tons in amount and $1.2billion in value. Third, competitiveness of Korea in international pollack markets is measured quantitatively. It shows that Korea has low RAC index and TSI index, but high RMI index. Thus, it is identified that Korea becomes the largest pollack importing country. Fourth, the partial equilibrium analysis on pollack import market of Korea indicates that the frozen pollack has both price elasticity and substitution elasticity, while the fresh pollack has income elasticity.

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접촉 오차 벡터를 이용한 비선형 변형체의 마찰접촉 해석 (Analysis of Frictional Contact Problems of Nonlinearly Deformable Bodies by Using Contact Error Vector)

  • Lee, Kisu;Kim, Bang-Won
    • 한국전산구조공학회논문집
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    • 제13권3호
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    • pp.305-319
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    • 2000
  • 본 논문에서는 대변형 비선형 변형체의 마찰 접촉 문제의 해법을 제시하였다. 접촉 가능 점에서 접촉조건을 접촉오차 벡터를 이용하여 표시하였으며, 이러한 접촉오차 벡터를 0으로 단조 감소시키기 위하여 반복계산법을 사용하였다. 각 반복계산은 2개의 단계로 구성되어 있다 : 첫 단계에서는 이미 구해진 해의 기하학적 모양에서 얻어지는 접촉오차 벡터를 이용하여 접촉력을 수정하고, 두 번째 단계에서는 첫 단계의 접촉력을 이용하여 평형방정식을 풀어서 변위 및 접촉오차를 계산하는 것이다. 본 반복계산법에 의하여 정확한 해를 얻을 수 있음을 설명하였으며, 강소성 막 및 비선형 탄성보를 사용하여 예제계산을 수행하였다.

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수평평판위 의 혼합대류 열전말 계산 을 위한 4-방정식 모델 의 개발 (Development of four-equation turbulence model for prediction of mixed convective heat transfer on a flat plate)

  • 성형진;정명균
    • 대한기계학회논문집
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    • 제7권2호
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    • pp.193-203
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    • 1983
  • The mixed convective heat transfer problems are characterized by the relatively significant contribution of buoyancy force to the transport processes of momentum and heat. Past analytical studies on this kind of problems have been carried out by employing either the conventional R-.epsilon. turbulence model which includes constant turbulent Prandtl number .sigma.$_{+}$ 1 or an extended R-.epsilon. turbulence model which takes account of the buoyancy effect in appropriate length scale equations. But in the latter case, the temperature variance .the+a.$^{2}$ over bar is approximated by a model under local equilibrium condition and the time scale ratio between velocity and temperature is assumed to be constant. These approximation is known to break down when the buoyancy effect is dominant. The present study is aimed at development of new computational turbulence closure level which can be applied to this rather complex turbulent process. The temperature variance is obtained directly by solving its dynamic transport equation and the time scale ratio which is variable in space is computed by a solution of a dynamic equation for the rate of scalar dissipation .epsilon.$_{\thetod}$ It was found that the computational results are in good agreement with available experimental data of wide range of unstable conditions.

환경문제 해결을 위한 환경친화적 발전의 원리와 방향성 (Principles and Directions of Eco-friendly Development for Settlement of Environmental Problems)

  • 김대희;김현수;강정옥;최영창
    • 농촌지도와개발
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    • 제4권1호
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    • pp.211-229
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    • 1997
  • An environmental problem is the greatest barrier to pursuit of mankinds existence and development. The major traits of this problem are totality and complexity, therefore the finding of environmental problem's solutions is very difficult. The eco-friendly development that pursuing the ecological principles is the direction of environmental problem's solutions. Environmentally sound and sustainable development, deep ecological thought or environmentalism, the following of god's creation order and the old oriental thought are patterns and principles of eco-friendly development. Every creature has one ecological niche from the ecological principles of adoption, competition, evolution, variety, circulation, harmony and equilibrium. Ecological niche means that every creature has ecological status and duty. Therefore finding the mankinds ecological niche is important because it is desirable directions for eco-friendly development to solve environmental problems.

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New twelve node serendipity quadrilateral plate bending element based on Mindlin-Reissner theory using Integrated Force Method

  • Dhananjaya, H.R.;Nagabhushanam, J.;Pandey, P.C.;Jumaat, Mohd. Zamin
    • Structural Engineering and Mechanics
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    • 제36권5호
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    • pp.625-642
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    • 2010
  • The Integrated Force Method (IFM) is a novel matrix formulation developed for analyzing the civil, mechanical and aerospace engineering structures. In this method all independent/internal forces are treated as unknown variables which are calculated by simultaneously imposing equations of equilibrium and compatibility conditions. This paper presents a new 12-node serendipity quadrilateral plate bending element MQP12 for the analysis of thin and thick plate problems using IFM. The Mindlin-Reissner plate theory has been employed in the formulation which accounts the effect of shear deformation. The performance of this new element with respect to accuracy and convergence is studied by analyzing many standard benchmark plate bending problems. The results of the new element MQP12 are compared with those of displacement-based 12-node plate bending elements available in the literature. The results are also compared with exact solutions. The new element MQP12 is free from shear locking and performs excellent for both thin and moderately thick plate bending situations.

경직형 양하지 뇌성마비 아동의 전방머리자세와 신체기능간의 상관관계 (Study on the Correlation Between Physical Function and Forward Head Posture in Spastic Diplegia)

  • 조영은;이은주
    • PNF and Movement
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    • 제19권2호
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    • pp.163-172
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    • 2021
  • Purpose: This study investigated the correlation between physical function and forward head posture in spastic diplegia. Methods: The subjects of this study were 10 spastic diplegia patients. We took pictures of the subjects' craniovertebral angle with a digital camera to determine the degree of forward head posture and then analyzed them using the NIH image J program. The physical function test used the TCMS, the BBT, and a spirometer. The data in this study were measured using SPSS version 23.0, and the statistical significance level α was 0.05. A Pearson correlation coefficient analysis was performed to identify the correlation between the degree of the subject's head forward position and physical function. Results: When we performed the BBT and spirometer tests, the subjects' forward head postures were not correlated (p < 0.05). However, with the TCMS, there was a strong correlation between the forward position of the head and balance, with balance decreasing as the head position increased (p < 0.05). Conclusion: Spastic diplegia patients with severe forward head posture showed problems with static balance, dynamic balance, and equilibrium reaction when sitting. Intervention on the right posture and preventive activities will be needed to improve the health of spastic diplegia patients and prevent future problems with physical function.

A novel method for solving structural problems: Elastoplastic analysis of a pressurized thick heterogeneous sphere

  • Abbas Heydari
    • Advances in Computational Design
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    • 제9권1호
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    • pp.39-52
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    • 2024
  • If the governing differential equation arising from engineering problems is treated as an analytic, continuous and derivable function, it can be expanded by one point as a series of finite numbers. For the function to be zero for each value of its domain, the coefficients of each term of the same power must be zero. This results in a recursive relationship which, after applying the natural conditions or the boundary conditions, makes it possible to obtain the values of the derivatives of the function with acceptable accuracy. The elastoplastic analysis of an inhomogeneous thick sphere of metallic materials with linear variation of the modulus of elasticity, yield stress and Poisson's ratio as a function of radius subjected to internal pressure is presented. The Beltrami-Michell equation is established by combining equilibrium, compatibility and constitutive equations. Assuming axisymmetric conditions, the spherical coordinate parameters can be used as principal stress axes. Since there is no analytical solution, the natural boundary conditions are applied and the governing equations are solved using a proposed new method. The maximum effective stress of the von Mises yield criterion occurs at the inner surface; therefore, the negative sign of the linear yield stress gradation parameter should be considered to calculate the optimal yield pressure. The numerical examples are performed and the plots of the numerical results are presented. The validation of the numerical results is observed by modeling the elastoplastic heterogeneous thick sphere as a pressurized multilayer composite reservoir in Abaqus software. The subroutine USDFLD was additionally written to model the continuous gradation of the material.