• Title/Summary/Keyword: 절점변위

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A Technique for the Extreme nodes of Boundary Element Method with Clamped Boundary Condition (변위구속조건을 받는 경계요소법의 최외측 절점 처리 기법)

  • Kim, Moon Kyum;Yun, Ik Jung
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.30 no.2A
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    • pp.131-136
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    • 2010
  • In this study, most of famous algorithms for the corner problem are listed. By comparing these with implemented codes and theoretical dissections, new algorithms are developed. These algorithms are combined by the existing auxiliary equations. All relating algorithms are numerically tested with 3 problems. Two problems have well-known analytical solutions and the result of another example is compared with the one of the published paper. The conducted research reveals the characteristics of existing algorithms and demonstrates newly developed algorithms can produce a reasonable solution by reflecting various type of boundary conditions.

Non-Dimensional Analysis of a Two-Dimensional Beam Using Linear Stiffness Matrix in Absolute Nodal Coordinate Formulation (절대절점좌표계에서 선형 강성행렬을 활용한 2차원 보의 무차원 해석)

  • Kim, Kun Woo;Lee, Jae Wook;Jang, Jin Seok;Oh, Joo Young;Kang, Ji Heon;Kim, Hyung Ryul;Yoo, Wan Suk
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.41 no.1
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    • pp.31-40
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    • 2017
  • Absolute nodal coordinate formulation was developed in the mid-1990s, and is used in the flexible dynamic analysis. In the process of deriving the equation of motion, if the order of polynomial referring to the displacement field increases, then the degrees of freedom increase, as well as the analysis time increases. Therefore, in this study, the primary objective was to reduce the analysis time by transforming the dimensional equation of motion to a non-dimensional equation of motion. After the shape function was rearranged to be non-dimensional and the nodal coordinate was rearranged to be in length dimension, the non-dimensional mass matrix, stiffness matrix, and conservative force was derived from the non-dimensional variables. The verification and efficiency of this non-dimensional equation of motion was performed using two examples; cantilever beam which has the exact solution about static deflection and flexible pendulum.

Non-Prismatic Beam Element for Beams with RBS Connection (RBS 연결부를 갖는 보에 대한 부등 단면 보 요소)

  • Kim, Kee Dong;Ko, Man Gi;Hwang, Byoung Kuk;Pae, Chang Kyu
    • Journal of Korean Society of Steel Construction
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    • v.16 no.6 s.73
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    • pp.833-846
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    • 2004
  • This study presents a non-prismatic beam element for modeling the elastic behavior of steel beams, which have the post-Northridge connections in steel moment frames. The elastic stiffness matrix, including the shear effects for non-prismatic members with reduced beam section (RBS) connection, is in closed form. A simplified approach is also suggested, which uses a prismatic beam element to model beams with the RBS connection. This method can estimate quiteexactly the maximum story drift ratios of frames with the RBS connection. The effects of reduced beam section connection on the elastic stiffness of steel moment frames were investigated. The selection of a proper model to account for deformations at the joint might have a more important role in estimating the maximum story drift ratios of frames with better accuracy than the RBS cutouts.

Papers : Three - dimensional assumed strain solid element for piezoelectric actuator/sensor analysis (3 차원 가정변형률 솔리드 요소를 이용한 압전 작동기/감지기 해석)

  • Jo, Byeong-Chan;Lee, Sang-Gi;Park, Hun-Cheol;Yun, Gwang-Jun;Gu, Nam-Seo
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.30 no.2
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    • pp.67-74
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    • 2002
  • The paper deals with a fully assumed strain soild element that can be used for modeling of thin sensors and actuators. To solve fully coupled field problems, the eledtric potential is regarded as a nodal degree of freedom in addition to three translations in an eighteen node assumed strain soild element. Therefore, the induced electric potential can be calculated for a prescribed load and the actuation displacement can be computed for an input voltage. Since the assumed strain solid element can alleviate locking. A finite element code is developed based on the formulation and typical numerical examples are solved for code validation. Using the code, we have conducted parametric study for THUNDER actuator. It is found that a particular combination of materials for layer curvature of THUNDER improves the actuation displacement.

Finite Element Simulation of Fracture Toughness Test (파괴인성시험의 유한요소 시뮬레이션)

  • Chu, Seok Jae;Liu, Conghao
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.37 no.4
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    • pp.491-496
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    • 2013
  • Finite element simulations of tensile tests were performed to determine the equivalent stress - equivalent plastic strain curves, critical equivalent stresses, and critical equivalent plastic strains. Then, the curves were used as inputs to finite element simulations of fracture toughness tests to determine the plane strain fracture toughness. The critical COD was taken as the COD when the equivalent plastic strain at the crack tip reached a critical value, and it was used as a crack growth criterion. The relationship between the critical COD and the critical equivalent plastic strain or the reduction of area was found. The relationship between the plane strain fracture toughness and the product of the critical equivalent stress and the critical equivalent plastic strain was also found.

Locking-free Straight Beam Element by a Modified Transverse Displacement Field (수정 횡변위장에 의한 강성과잉이 없는 직선 보 요소)

  • 이팔갑;신효철
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.12
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    • pp.2287-2297
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    • 1992
  • The Formulation of a new Hermite straight beam element to eliminate the shear locking is presented. All the kinematic variables in Timoshenko beam are reinterpreted by the consideration of equilibrium equations together. It shows that when the modified transverse displacement field is used the Timoshenko beam looks apparently the same as the Euler beam. The element is formulated for the modified transverse displacement field to have the same interpolation scheme as that in the Hermite element. Transformation Matrix which relates a modified nodal vector with nonmodified one is also introduced to deal with general boundary conditions. Several examples are demonstrated and discussed for the purpose of verification of the concepts employed. The solutions obtained reveal that the element describes of the beam quite correctly, showing no locking and that it is also applicable to the analysis of both thin and thick beams.

Stress Intensity Factor of Single Edge Cracked Plates Considering Materials and Geometry of Patch by p-Convergent Partial Layerwise Model (p-수렴 부분층별모델에 의한 일변균열판의 패치재료 및 기하형상에 따른 응력확대계수)

  • Ahn, Hyeon-Ji;Ahn, Jae-Seok;Woo, Kwang-Sung
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.23 no.2
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    • pp.191-198
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    • 2010
  • This study investigated that the stress reduction of single edge cracked plates with patch repairs according to different type of patching such as material, size and thickness of patch and adhesive as well as single sided or double sided patches. As a numerical tool, the p-convergent partial layerwise model has been employed. The proposed model is formulated by assuming piecewise linear variation of in-plane displacement and a constant value of out-of-plane displacements across thickness. The integrals of Legendre polynomials are chosen to define displacement fields and Gauss-Lobatto numerical integration is implemented in order to directly obtain maximum values occurred at the nodal points of each layer without other extrapolation techniques. Also, total strain energy release rate method is adopted to obtain stress intensity factors. Numerical examples are presented not only to demonstrate the stress reduction effect in terms of non-dimensional stress intensity factor and deflection with respect to different type of patch repairs, but also the accuracy of proposed model.

A Study on the Bending and Torsional Behaviors of Cable-Stayed Bridges under a Concentrated Moving Load (집중 이동하중을 받는 사장교의 휨 및 비틈 거동에 관한 연구)

  • Chang, Sung Pil;Yhim, Sung Soon;Chu, Seok Beom
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.9 no.3
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    • pp.1-12
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    • 1989
  • The nonlinearity of a cable-stayed bridge results from the large displacement of main girder due to a long span, the catenary action of cables and the flexural stiffness reduced by large axial forces. The dynamic behaviour of a cable-stayed bridge plays an important role in determining its safety. Especially, when the eccentrically moving load is applied to a cable-stayed bridge, the torsional vibration and vertical vibration are coupled and moreover the variation of cable tensions shows important dynamic characteristics. This dissertation presents a theoretical study and a finite element procedure for analysis of a cable-stayed bridge under a eccentrically moving load. Attention is focused on the dynamic behaviours such as dynamic increments of cable tensions and nodal displacements, with the variety of velocities and eccentricities of moving load. It is found that a moving load with eccentricity can have significant effects upon the responses; the torsion of bridge deck and the increments of cable tensions, according to the present results in this study.

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Nonlinear Strength Analysis of Laminated Composite Cylindrical Shells for the Optimum Laminate Structure (복합적층 원통형구각의 최적구조를 위한 비선형해석)

  • C.W.,Yum;J.W.,Lee
    • Bulletin of the Society of Naval Architects of Korea
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    • v.27 no.1
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    • pp.45-56
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    • 1990
  • This study deals with the nonlinear strength analysis of laminated composite cylindrical shells to find the optimum structure of pressure vessel. By applying the F.E.M. using the 8-node degenerated Isoparametric shell element and Total Lagrangian formulation and being adopted Newton-Raphson method with incremental load as a solution scheme. the optimum structure is found from the viewpoint of minimum displacement. As a results of linear analysis on the 9 cases of laminated structure, $[50^{\circ}/-50^{\circ}]$ composition of the shell laminate give the minimum deflection. In case of the nonlinear analysis by applying Quadratic Failure Criteria on laminated combination $[{\theta}^{\circ}/-{\theta}^{\circ}]$, shell laminate structure of ${\theta}=50^{\circ}$ under external uniform pressure was founded as a optimum structure and ${\theta}=50^{\circ}$ for the case of external and axial loading combined.

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A Study on the Fuel Assembly Stress Analysis for Seismic and Blowdown Events (지진 및 냉각재상실사고시의 핵연료집합체 응력해석에 관한 연구)

  • Kim, Il-Kon
    • Nuclear Engineering and Technology
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    • v.25 no.4
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    • pp.552-560
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    • 1993
  • In this study, the detailed fuel assembly stress analysis model to evaluate the structural integrity for seismic and blowdown accidents is developed. For this purpose, as the first step, the program MAIN which identifies the worst bending mode shaped fuel assembly(FA) in core model is made. And the finite element model for stress calculation of FA components is developed. In the model the fuel rods (FRs) and the guide thimbles are modelled by 3-dimensional beam elements, and the spacer grid spring is modelled by a linear and relational spring. The constraints come from the results of the program MAIN. The stress analysis of the 16$\times$16 type FA under arbitary seismic load is performed using the developed program and modelling technique as an example. The developed stress model is helpful for the stress calculation of FA components for seismic and blowdown loads to evaluate the structural integrity of FA.

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