• Title/Summary/Keyword: degenerated beam element

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Geometrically Nonlinear Analysis of Eccentrically Stiffened Plate (편심 보강평판의 기하학적 비선형 해석)

  • Jae-Wook Lee;Kie-Tae Chung;Young-Tae Yang
    • Journal of the Society of Naval Architects of Korea
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    • v.28 no.2
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    • pp.307-317
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    • 1991
  • A displacement-based finite element method is presented for the geometrically nonlinear analysis of eccentrically stiffened plates. The nonlinear degenerated shell and eccentric isobeam(isoparametric beam) elements are formulated on the basis of total Lagrangian and updated Lagrangian descriptions. To describe the stiffener's local plate buckling mode, some additional local degrees of freedom are used in the eccentric isobeam element. The eccentric isobeam element can be affectively employed to model the eccentric stiffener just like the case of the degenerated shell element. A detailed nonlinear analysis including the effects of stiffener's eccentricity is performed to estimate the critical load and the post buckling behaviour of an eccentrically stiffened plate. The critical buckling loads are found higher than analytic plate buckling load but lower than Euler buckling load which are the buckling strength requirements of classification society.

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Development of Degenerated Beam Elements Using Higher-Order Displacement Profile (고차(高次) 변위(變位)를 고려(考慮)한 요소(要素)의 해석(解析))

  • Shin, Young Shik
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.2 no.3
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    • pp.75-86
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    • 1982
  • The degeneration of two classes of thick beam elements has been conducted, one (DB6) based on the conventional Timoshenko beam assumptions whereas the other (DB7) based on the assumed cubic axial displacement profile. While an adjustable shear correction factor is required for the DB 6 element to compensate for the unrealistic distribution of shear strain across the thickness, the DB 7 element assumes the more realistic quadratic profile of shear strain at the outset. With the plane-stress continuum solution as reference, solutions obtained by these two element models are compared with the analytical Timoshenko solution, the analytical thin beam solution and several available solutions of other existing beam elements. The result indicates that the performance of the higher order beam element DB 7 is consistently superior to any others. This is true for the whole range of aspect ratios of beam, in both static and free vibration analyses.

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A post-peak analysis of concrete structures using a 9-node assumed strain shell element (9절점 가변형도 쉘요소를 이용한 콘크리트 구조물의 후-정점하중 해석)

  • 이상진;이홍표;서정문
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2001.10a
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    • pp.59-66
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    • 2001
  • The post-peak analysis of concrete structures is carried out using a nine-node Reissner-Mindlin(RM) shell element which is formulated by using degenerated solid concepts. In order to avoid element deficiencies inherited in the standard RM shell element, assumed strains are adopted in the present shell element. A microscopic material model is adopted to represent the inelastic characteristic of concrete material. In particular, a concrete softening model is introduced to this material model. The arc-length control method is used to trace the post-peak behaviour of concrete structures. From the numerical test of the single-edge-notched beam, the present shell element shows a reasonable agreement with experimental data.

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Design and Analysis of Ultrasonic Linear Motor Using Multilayer Piezoceramics (적층 압전세라믹을 이용한 초음파 리니어 모터의 설계 및 해석)

  • Kim, Tae-Yoal;Kim, Beam-Jin;Park, Tae-Gone;Kim, Myong-Ho
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2000.05b
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    • pp.61-64
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    • 2000
  • An ultrasonic linear motor was composed of a slider and a stator vibrator including piezoelectric material and elastic material. The ultrasonic linear motors mainly consist of an ultrasonic oscillator which generates elliptical oscillations. Elliptical oscillations are generated by synthesizing two degenerated modes. The design of a stator for an ultrasonic linear motor was optimized with respect to vibration mode and direction of vibratory displacement by employing the finite element method. Applying multilayer piezoelectric ceramics. we found larger elliptical oscillations. The motors were designed by varying the width of stator vibrator and the thickness. the length and the position of multilayer piezoelectric ceramics.

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Partial Layerwise-to-ESL Coupling Elements for Multiple Model Analysis (다중모델 해석을 위한 부분층별-등가단층 결합요소)

  • Shin, Young-Sik;Woo, Kwang-Sung;Ahn, Jae-Seok
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.22 no.3
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    • pp.267-275
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    • 2009
  • This paper presents the p-convergent coupling element on the basis of the ESSE(equivalent single layer shell element) and the PLLE(partial-linear layerwise element) to analyze laminated composite plates. The ESSE is formulated by the degenerated shell theory, on the other hand, the assumption of the PLLE is piecewise linear variation of the in-plane displacement and a constant value of lateral displacement across the thickness. The proposed finite element model is based on p-convergence approach. The integrals of Legendre polynomials and Gauss-Lobatto technique are chosen to interpolate displacement fields and to implement numerical quadrature, respectively. This study has been focused on the verification of p-convergent element. For this purpose, various finite element multiple models associated with the combination of ESSE and PLLE elements are tested to show numerical stability. The simple examples such as a cantilever beam subjected vertical load and a plate with tension are adopted to evaluate the performance of proposed element.