• Title/Summary/Keyword: Equilibrium problem

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A Study on the Bending Buckling Behavior of Circular Cylindrical Shells (원통형 쉘의 휨 좌굴 거동에 대한 연구)

  • 정진환;김성도;하지명
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1998.10a
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    • pp.208-215
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    • 1998
  • A stability problems of isotropic shells under pure bending is investigated based on the classical shells theory. The governing equations of stability problem presented by Donnell and Love, are developed and the solutions for the cylindrical shells are obtained by using Galerkin method. Bending moment is applied at the ends of the cylindrical shell as a from of distributed load in the shape of sine curve. For the isotropic materials, the result of the general purpose structural analysis program based on the finite element method are compared with the critical moment obtained from the classical shell theories. The critical loads for the cylindrical shells with various geometry can not be evaluated with a simple equation. However, accurate solutions for the stability problems of cylindrical shells can be obtained through the equilibrium equation developed in the study.

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The Effect of Neglecting the Longitudinal Moment Terms on the Moment of Laminated Plates with Increasing Aspect Ratio (경계조건에 따른 적층복합판의 모멘트에 대한 종방향 모멘트 무시효과)

  • 김덕현;박제선;한봉구;이정호
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1998.10a
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    • pp.223-230
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    • 1998
  • The most of the design engineers for construction has academic background of bachelors degree. Theories for advanced composite structures are too difficult for such engineers and some simple but accurate enough methods are necessary. The senior author has reported that some laminate orientations have decreasing values of D$_{16}$, B$_{16}$, D$_{26}$ and B$_{26}$ stiffnesses as the ply number increases. Such plates behave as special orthotropic plates and simple formulas developed by the author can be used. Most of the bridge and building slabs on girders have large aspect ratios. For such cases further simplification is possible by neglecting the effect of the longitudinal moment terms(M$_{x}$) on the relevant partial differential equations of equilibrium. In this paper, the result of the study on the subject problem is presented.ented.d.

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LIMIT ANALYSIS OF CONTINUOUS STRUCTURES USING MATHEMATICAL PROGRAMMING

  • Victor-A.Pulmano;Loi, Francis-Tin
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1992.10a
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    • pp.7-19
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    • 1992
  • An efficient approach to limit analysis is presented whereby a continuous perfectly plastic structure is replaced by a discrete mathematical model. It is formulated as a mathematical programming problem using the static theorem of plasticity. The discretization is accomplished by writing the governing equilibrium equations in finite difference form, and is combined with piecewise linearization of the nonlinear yield curve, thus converting the formulation into a linear programming exercise. Examples of reported cases involving plates and shells are solved to illustrate the ease of application of the present method, its flexibility and accuracy - features which it make attractive to practising engineers.

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Boundary element analysis of singular stresses at interface edge of infinitely layered structure (무한 적층 구조체의 자유경계면에 나타나는 특이응력의 경계요소해석)

  • 이상순
    • Computational Structural Engineering
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    • v.8 no.3
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    • pp.75-78
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    • 1995
  • The boundary element analysis has been attempted for investigating the singular stress at the interface edge of infinitely layered structure. The subdomain technique has been employed and the analysis model has been divided into two subdomains, which are respectively homogeneous elastic zones. The boundary element equation has been formulated using the equilibrium and continuity conditions at the common interface. The numerical results of example problem has been presented.

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Torsional Analysis of RC Beam Using Average Strains (평균변형률을 이용한 RC보의 비틀림 해석)

  • Park, Chang-Kyu
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.6 no.2
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    • pp.157-165
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    • 2002
  • Nonlinear analysis of the reinforced concrete beam subjected to torsion is presented. Seventeen equations involving seventeen variables are derived from the equilibrium equation, compatibility equation, and the material constitutive laws to solve the torsion problem. Newton method was used to solve the nonlinear simultaneous equations and efficient algorithms are proposed. Present model covers the behavior of reinforced concrete beam under pure torsion from service load range to ultimate stage. Tensile resistance of concrete after cracking is appropriately considered. The softened concrete truss model and the average stress-strain relations of concrete and steel are used. To verify the validity of present model, the nominal torsional moment strengths according to ACI-99 code and the ultimate torsional moment by present model are compared to experimental torsional strengths of 55 test specimens found in literature. The ultimate torsional moment strengths by the present model show good results.

Supervisory Control of Dynamic Oligopolistic Markets: How can Firms Reach Profit-Maximization? (동적 과점시장의 관리제어: 기업들은 어떻게 이윤극대화에 이를 수 있는가?)

  • Park, Seong-Jin
    • Journal of Institute of Control, Robotics and Systems
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    • v.17 no.4
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    • pp.304-312
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    • 2011
  • In an oligopolistic market, only a few firms account for most or all of total production, e.g., automobile, steel, and computer industries. For a dynamic oligopolistic market with two firms competing in quantities, we show that supervisory control theory of discrete event systems provides a novel approach to solve the dynamic oligopoly problem with the aim of maximizing the profits of both firms. Specifically, we show that the controllability, observability, and nonblocking property (which are the core concepts in supervisory control theory) are the necessary and sufficient conditions for two oligopolistic firms in disequilibrium to eventually reach equilibrium states of maximizing the profits of both firms.

Exact Static Element Stiffness Matrix of Nonsymmetric Thin-walled Elastic Curved Beams (비대칭 박벽 탄성 곡선보의 엄밀한 정적 요소강도행렬)

  • Yoon Hee-Taek;Kim Moon-Young;Kim Young-Ki
    • Proceedings of the KSR Conference
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    • 2005.11a
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    • pp.1165-1170
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    • 2005
  • In order to perform the spatial buckling analysis of the curved beam element with nonsymmetric thin-walled cross section, exact static stiffness matrices are evaluated using equilibrium equations and force-deformation relations. Contrary to evaluation procedures of dynamic stiffness matrices, 14 displacement parameters are introduced when transforming the four order simultaneous differential equations to the first order differential equations and 2 displacement parameters among these displacements are integrated in advance. Thus non-homogeneous simultaneous differential equations are obtained with respect to the remaining 8 displacement parameters. For general solution of these equations, the method of undetermined parameters is applied and a generalized linear eigenvalue problem and a system of linear algebraic equations with complex matrices are solved with respect to 12 displacement parameters. Resultantly displacement functions are exactly derived and exact static stiffness matrices are determined using member force-displacement relations. The buckling loads are evaluated and compared with analytic solutions or results by ABAQUS's shell element.

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Resource Allocation in Wireless Ad Hoc Networks Using Game Theory

  • Lee, Ki-Hwan;Halder, Nilimesh;Song, Ju-Bin
    • Proceedings of the IEEK Conference
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    • 2007.07a
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    • pp.195-196
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    • 2007
  • The purpose of this paper is to analyze the resource allocation problem in a self organizing network from the viewpoint of game theory. The main focus is to suggest the model and analyze a power control algorithm in wireless ad-hoc networks using non cooperative games. Our approach is based on a model for the level of satisfaction and utility a wireless user in a self organizing network derives from using the system. Using this model, we show a distributed power control scheme that maximizes utility of each user in the network. Formulating this as a non-cooperative game we will show the feasibility of such power control as well as existence of the Nash Equilibrium achieved by the non-cooperative game.

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The Effect on Neglecting the Longitudinal Moment Terms in a Composite Liminate Plate with Stacking Sequence and Fiber Orientation (적층형태 및 보강방향에 따른 복합적층판의 종방향 모멘트 무시효과)

  • Lee, Bong-hak;Lee, Jung-ho;Hong, Chang-Woo;Kim, Kyung-Jin
    • Journal of Industrial Technology
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    • v.18
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    • pp.97-105
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    • 1998
  • The most of the design engineers for construction has academic background of bachelors degree. Theories for advanced composite structures are too difficult for such engineers and some simple but accurate enough methods are necessary. The senior author has reported that some laminate orientations have decreasing values of $D_{16}$, $B_{16}$, $D_{26}$ and $B_{26}$ stiffnesses as the ply number increases. Such plates behave as special orthotropic plates and simple formulas developed by the author can be used. Most of the bridge and building slabs on girders have large aspect ratios. For such cases further simplification is possible by neglecting the effect of the longitudinal moment terms($M_x$) on the relevant partial differential equations of equilibrium. In this paper, the result of the study on the subject problem is presented.

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A new ALE finite element techniques for wind-structure interactions

  • Choi, Chang-Koon;Yu, Won-Jin
    • Wind and Structures
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    • v.3 no.4
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    • pp.291-302
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    • 2000
  • A new finite element technique to solve the problem of wind and structure interactions is presented. Conventionally, wind analysis is performed on the Eulerian description in which the finite element mesh would not move in accordance with the wind flow. However, it is not the case in wind-structure interaction problems because nodes attached to the surface of structure should move with the displacement of structure. The arbitrary Lagrangian-Eulerian (ALE) method treats the mesh and flow independently, and allow the mesh to move. In this study, the analysis domain is divided into regions of the structure, air around the structure and the interface of two regions. To satisfy the compatibility and equilibrium conditions between separated regions and to carry out the efficient analysis, the rigid link is used. Also the equation of wind and that of structure are arranged in a single matrix equation.