• 제목/요약/키워드: Curved linear

검색결과 245건 처리시간 0.025초

3절점 혼합유한요소를 이용한 아치의 면내굽힘진동해석 (In-Plane Flexural Vibration Analysis of Arches Using Three-Noded Hybrid-Mixed Element)

  • 김진곤
    • 동력기계공학회지
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    • 제10권4호
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    • pp.83-89
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    • 2006
  • Curved beams are more efficient in transfer of loads than straight beams because the transfer is effected by bending, shear and membrane action. The finite element method is a versatile method for solving structural mechanics problems and curved beam problems have been solved using this method by many author. In this study, a new three-noded hybrid-mixed curved beam element is proposed to investigate the in-plane flexural vibration behavior of arches depending on the curvature, aspect ratio and boundary conditions, etc. The proposed element including the effect of shear deformation is based on the Hellinger-Reissner variational principle, and employs the quadratic displacement functions and consistent linear stress functions. The stress parameters are then eliminated from the stationary condition of the variational principle so that the standard stiffness equations are obtained. Several numerical examples confirm the accuracy of the proposed finite element and also show the dynamic behavior of arches with various shapes.

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유체가 흐르는 인장 가능한 곡선관의 고유진동수 해석 (Natural Frequency Analysis of an Extensible Curved Pipe Conveying Fluid)

  • 정두한;정진태
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2005년도 추계학술대회논문집
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    • pp.792-795
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    • 2005
  • The vibration of a curved pipe conveying fluid is studied when the pipe is clamped at both ends. To consider the nonlinearity, this study adopts the Lagrange strain theory for large deformation and the extensible dynamics based on the Euler-Bemoulli beam theory for slenderness assumption. By using the Hamilton principle, the non-linear partial differential equations are derived. To investigate the dynamic characteristics of the system the discretized equations of motion are derived from the Galerkin method. The natural frequencies varying with the flow velocity are computed. From these results, we should consider the nonlinearity to analyze dynamics of a curved pipe conveying fluid more precisely.

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천연가스 배관 곡관부에서의 피그 동적 거동 해석 (Analysis of PIG Dynamics through Curved Section in Natural Gas Pipeline)

  • 김동규;;유휘룡;노용우;고영태;김상봉
    • 한국가스학회지
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    • 제6권1호
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    • pp.1-9
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    • 2002
  • This paper presents simple models for flow and the PIG dynamics when it passes through a $90^{\circ}$ curved section of pipeline. The simulation has been done with two different operational boundary conditions. The solution fur non-linear hyperbolic partial equations for flow is given by using MOC. The Runge-Kuta method is used to solve the initial condition equation fur flow and the PIG dynamics equation. The simulation results show that the proposed model and solution can be used fur estimating the PIG dynamics when the pig runs in the pipeline including curved section. In this paper, dynamic modeling and its analysis for the PIG flow through $90^{\circ}$ curved pipe with compressible and unsteady flow are studied. The PIG dynamics model is derived by using Lagrange equation under assumption that it passes through 3 different sections in the curved pipeline such that it moves into, inside and out of the curved section. The downstream and up stream flow dynamics including the curved sections are solved using MOC. The effectiveness of the derived mathematical models is estimated by simulation results fur a low pressure natural gas pipeline including downward and upward curved sections. The simulation results show that the proposed model and solution can be used for estimating the PIG dynamics when we pig the pipeline including curved section.

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유리성형시스템의 힘측정기반 가압장치를 이용한 곡면유리 성형조건 (Forming Conditions of Curved Glass using Force Applying System of Glass Molding System)

  • 홍태경;김갑순
    • 한국정밀공학회지
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    • 제31권4호
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    • pp.335-342
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    • 2014
  • This paper describes the forming conditions of smart-phone curved glass using the glass molding system with force applying system. The force applying system is composed of a body, a motor and gear, a rectilinear movement structure, a force sensor, a LVDT sensor (Linear Variable Differential Transformer), a up and down moving block, and so on. The glass molding system for characteristic test to find the forming conditions consists of the force applying system and a chamber, a metallic mold, a upper heater, a lower heater and so on. The characteristic test for forming conditions of smart-phone curved glass was carried out at forming temperature $620^{\circ}C$ and $650^{\circ}C$ using the glass molding system. As a result of the characteristic test, the forming conditions of curved glass could be found, and it is thought that the conditions can be used to apply to the system for producing in large quantities.

Ultimate load behavior of horizontally curved composite plate girders

  • Shanmugam, N.E.;Basher, M.A.;Khalim, A.R.
    • Steel and Composite Structures
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    • 제9권4호
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    • pp.325-348
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    • 2009
  • This paper is concerned with steel-concrete composite plate girders curved in plan. At the design stage these girders are assumed sometimes to act independent of the deck slabs resting on them in order to simplify the analysis. The advantage of composite action between the steel girders and concrete deck is not utilized. Finite element modeling of such composite action in plate girders is considered in this paper. Details of the finite element modeling and the non-linear analysis of the girders are presented along with the results obtained. Tension field action in the web panels similar to those observed in the straight plate girders is also noticed in these girders. Finite element and experimental results in respect of curved steel plate girders and straight composite plate girders tested by other researchers are presented first to assess the accuracy of the modeling. Effects of parameters such as curvature, steel flange width and web panel width that affect the behavior of composite girders are then considered in the analyses. An approximate method to predict the ultimate strength of horizontally curved composite plate girders is also presented.

Exact solutions of vibration and postbuckling response of curved beam rested on nonlinear viscoelastic foundations

  • Nazira Mohamed;Salwa A. Mohamed;Mohamed A. Eltaher
    • Advances in aircraft and spacecraft science
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    • 제11권1호
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    • pp.55-81
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    • 2024
  • This paper presents the exact solutions and closed forms for of nonlinear stability and vibration behaviors of straight and curved beams with nonlinear viscoelastic boundary conditions, for the first time. The mathematical formulations of the beam are expressed based on Euler-Bernoulli beam theory with the von Karman nonlinearity to include the mid-plane stretching. The classical boundary conditions are replaced by nonlinear viscoelastic boundary conditions on both sides, that are presented by three elements (i.e., linear spring, nonlinear spring, and nonlinear damper). The nonlinear integro-differential equation of buckling problem subjected to nonlinear nonhomogeneous boundary conditions is derived and exactly solved to compute nonlinear static response and critical buckling load. The vibration problem is converted to nonlinear eigenvalue problem and solved analytically to calculate the natural frequencies and to predict the corresponding mode shapes. Parametric studies are carried out to depict the effects of nonlinear boundary conditions and amplitude of initial curvature on nonlinear static response and vibration behaviors of curved beam. Numerical results show that the nonlinear boundary conditions have significant effects on the critical buckling load, nonlinear buckling response and natural frequencies of the curved beam. The proposed model can be exploited in analysis of macrosystem (airfoil, flappers and wings) and microsystem (MEMS, nanosensor and nanoactuators).

Vampire를 이용한 경부고속철도 차량의 동적 안정성 해석 (Analysis of the Dynamic Stability for the K-TGV Using Vampire Program)

  • 박찬경;김기환;홍진완;심태웅
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 1998년도 창립기념 춘계학술대회 논문집
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    • pp.510-516
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    • 1998
  • Dynamic stability of a high speed train is very important. This paper presents a dynamic stability analysis of K-TGV using Vampire Program. The analysis of stability on this paper is performed in condition of track irregularity, curved track and strong gust. The critical speed of K-TGV is 140m1s, and it is stable when runs on 7000R(cant 150mm) curved track and on linear track with the body exerted 101kN lateral impulse force.

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허프변환과 차선모델을 이용한 효과적인 차선검출에 관한 연구 (Study on Effective Lane Detection Using Hough Transform and Lane Model)

  • 김기석;이진욱;조재수
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2009년도 정보 및 제어 심포지움 논문집
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    • pp.34-36
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    • 2009
  • This paper proposes an effective lane detection algorithm using hugh transform and lane model. The proposed lane detection algorithm includes two major components, i.e., lane marks segmentation and an exact lane extraction using a novel postprocessing technique. The first step is to segment lane marks from background images using HSV color model. Then, a novel postprocessing is used to detect an exact lane using Hugh transform and lane models(linear and curved lane models). The postprocessing consists of three parts, i.e, thinning process, Hugh Transform and filtering process. We divide input image into three regions of interests(ROIs). Based on lane curve function(LCF), we can detect an exact lane from various extracted lane lines. The lane models(linear and curved lane mode]) are used in order to judge whether each lane segment is fit or not in each ROIs. Experimental results show that the proposed scheme is very effective in lane detection.

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

  • 윤희택;김문영;김용기
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2005년도 추계학술대회 논문집
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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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