• Title/Summary/Keyword: skew element

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Parametric effects on geometrical nonlinear dynamic behaviors of laminated composite skew plates (적층된 복합소재 경사판의 기하학적 비선형 동적 거동에 미치는 매개변수 영향)

  • Lee, Sang-Youl
    • Composites Research
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    • v.25 no.6
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    • pp.217-223
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    • 2012
  • This study investigates a geometrical nonlinear dynamic behaviors of laminated skew plates made of advanced composite materials (ACM). Based on the first-order shear deformation plate theory (FSDT), the Newmark method and Newton-Raphson iteration are used for the nonlinear dynamic solution. The effects of cutout sizes, skew angles and lay up sequences on the nonlinear dynamic response for various parameters are studied using a nonlinear dynamic finite element program developed for this study. The several numerical results were in good agreement with those reported by other investigators for square composite plates with or without central cutouts, and the new results reported in this paper show the significant interactions between the cutout, skew angles and layup sequence in the laminate. Key observation points are discussed and a brief design guideline of skew laminates is given.

3D Finite Element Analysis of Skew and Overhang Effects in Permanent Magnet Linear Synchronous Motor (PMLSM에서의 Skew와 Overhang 효과에 대한 3D 유한 요소 해석)

  • Hwang, In-Cheol;Han, Kwang-Kyu;Lee, Dong-Yeup;Kim, Gyu-Tak
    • Proceedings of the KIEE Conference
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    • 2006.04b
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    • pp.112-114
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    • 2006
  • This paper deals with skew and overhang effects of Permanent Magnet in PMLSM. The detent force and thrust characteristics considering skew and overhang effects of permanent magnet are analyzed by 3D FEM and the results are compared to experimental values

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A Elicitation of Polynomial Equation of Thrust Coefficient for Linear Synchronous Motor by Experimental Design Method (영구자석의 overhang 길이 및 skew 효과를 고려한 LSM 추력함수 도출)

  • Jang, Ki-Bong;Pyo, Se-Ho;Kim, Gyu-Tak
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.58 no.6
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    • pp.1105-1109
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    • 2009
  • This paper deals with a polynomial thrust equation of a permanent magnet linear synchronous motor that is considered by a skew and overhang effects of permanent magnet. The skew length, the overhang length, the width and height of permanent magnet, the teeth length and air-gap length which effect to the flux density of air-gap are selected as variables of the polynomial thrust equation. Polynomial thrust equation is elicited by the 6 parameters. The results are satisfied that the values by polynomial thrust equation are compared ones by using 3-dimensional finite element analysis and experiment.

Numerical frequency analysis of skew sandwich layered composite shell structures under thermal environment including shear deformation effects

  • Katariya, Pankaj V.;Panda, Subrata K.
    • Structural Engineering and Mechanics
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    • v.71 no.6
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    • pp.657-668
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    • 2019
  • The numerical thermal frequency responses of the skew sandwich shell panels structure are investigated via a higher-order polynomial shear deformation theory including the thickness stretching effect. A customized MATLAB code is developed using the current mathematical model for the computational purpose. The finite element solution accuracy and consistency have been checked via solving different kinds of numerical benchmark examples taken from the literature. After confirming the standardization of the model, it is further extended to show the effect of different important geometrical parameters such as span-to-thickness ratios, aspect ratios, curvature ratios, core-to-face thickness ratios, skew angles, and support conditions on the frequencies of the sandwich composite flat/curved panel structure under elevated temperature environment.

Bi-axial and shear buckling of laminated composite rhombic hypar shells

  • Chaubey, Abhay K.;Raj, Shubham;Tiwari, Pratik;Kumar, Ajay;Chakrabarti, Anupam;Pathak, K.K.
    • Structural Engineering and Mechanics
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    • v.74 no.2
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    • pp.227-241
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    • 2020
  • The bi-axial and shear buckling behavior of laminated hypar shells having rhombic planforms are studied for various boundary conditions using the present mathematical model. In the present mathematical model, the variation of transverse shear stresses is represented by a second-order function across the thickness and the cross curvature effect in hypar shells is also included via strain relations. The transverse shear stresses free condition at the shell top and bottom surfaces are also satisfied. In this mathematical model having a realistic second-order distribution of transverse shear strains across the thickness of the shell requires unknown parameters only at the reference plane. For generality in the present analysis, nine nodes curved isoparametric element is used. So far, there exists no solution for the bi-axial and shear buckling problem of laminated composite rhombic (skew) hypar shells. As no result is available for the present problem, the present model is compared with suitable published results (experimental, FEM, analytical and 3D elasticity) and then it is extended to analyze bi-axial and shear buckling of laminated composite rhombic hypar shells. A C0 finite element (FE) coding in FORTRAN is developed to generate many new results for different boundary conditions, skew angles, lamination schemes, etc. It is seen that the dimensionless buckling load of rhombic hypar increases with an increase in c/a ratio (curvature). Between symmetric and anti-symmetric laminations, the symmetric laminates have a relatively higher value of dimensionless buckling load. The dimensionless buckling load of the hypar shell increases with an increase in skew angle.

On Semirings which are Distributive Lattices of Rings

  • Maity, S.K.
    • Kyungpook Mathematical Journal
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    • v.45 no.1
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    • pp.21-31
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    • 2005
  • We introduce the notions of nilpotent element, quasi-regular element in a semiring which is a distributive lattice of rings. The concept of Jacobson radical is introduced for this kind of semirings.

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Nonlinear Analysis of Skew Plates by $C^{\circ}$-Hierarchical Plate Element ($C^{\circ}$-계층적 평판요소에 의한 경사평판의 비선형 해석)

  • 우광성;허철구;박진환
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.14 no.1
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    • pp.65-76
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    • 2001
  • 본 연구의 목적은 평판의 모서리 둔각이 135도까지를 갖는 재료적 비선형 경사평판을 해석하기 위해 C°-계층적 평판요소를 개발하는 것이다. 기하학적 변환을 통해 경사진 경계조건은 직각좌표계의 좌표변환을 이용하여 해결할 수 있다. 여기서, 경사경계는 경사진 변 전체 또는 경사교량의 교좌위치와 관련된 몇 개의 선택지점만을 고려할 수 있게 하였다. 이 목적을 위해 경사교량의 교좌장치의 이동방향을 설명할 수 있도록 1차 전단변형을 갖는 Reissner/Mindlin 평판이론에 기초를 둔 5-자유도 경사평판요소가 정식화되었다. 한편, 평판의 극한내하력을 추정하기 위해 von-Mises 항복기준에 기초를 둔 소성유동법칙을 갖는 증분소성이론이 채택되었다. 또한, ADINA 소프트웨어에 의한 h-version 모델과 제안된 p-version 모델을 사용하여 경사각, 경계조건과 하중의 변화에 따른 영향을 조사하였다. 해석결과는 이론값과 문헌에 보고된 수치해석값과 비교되었다. 자유도 수에 따른 정확도를 비교기준으로 한다면, 본 연구에서 제안된 해석모델은 지금까지 개발된 가장 효율적 도구의 하나라고 할 수 있다.

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Improved bracing systems to prevent exterior girder rotation during bridge construction

  • Ashiquzzaman, Md;Ibrahim, Ahmed;Lindquist, Will;Hindi, Riyadh
    • Steel and Composite Structures
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    • v.32 no.3
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    • pp.325-336
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    • 2019
  • Concrete placement and temporary formwork of bridge deck overhangs result in unbalanced eccentric loads that cause exterior girders to rotate during construction. These construction loads affect the global and local stability of the girders and produce permanent girder rotation after construction. In addition to construction loads, the skew angle of the bridge also contributes to girder rotation. To prevent rotation (in both skewed and non-skewed bridges), a number of techniques have been suggested to temporarily brace the girders using transverse tie bars connecting the top flanges and embedded in the deck, temporary horizontal and diagonal steel pipes placed between the webs of the exterior and first interior girders, and permanent cross frames. This study includes a rigorous three-dimensional finite element analysis to evaluate the effectiveness of several bracing systems for non-skewed and several skewed bridges. In this paper, skew angles of $0^{\circ}$, $20^{\circ}$, $30^{\circ}$, and $45^{\circ}$ were considered for single- and three-span bridges. The results showed that permanent cross frames worked well for all bridges, whereas temporary measures have limited application depending on the skew angle of the bridge.

A spline finite element method on mapping

  • Ding, Hanshan;Shao, Rongguang;Ding, Dajun
    • Structural Engineering and Mechanics
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    • v.4 no.4
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    • pp.415-424
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    • 1996
  • This paper presents a newly suggested calculation method in which an arbitrary quadrilateral element with curved sides is transformed to a normal rectangular one by mapping of coordinates, then the two-dimensional spline is adopted to approach the displacement function of this element. Finally the solution can be obtained by the least-energy principle. Thereby, the application field of Spline Finite Element Method will be extended.

Study on Cogging Torque Reduction for Small Wind Turbine AFPM Generator of Double Stator Structure (이중 고정자 구조의 소형풍력터빈용 AFPM 발전기의 코깅토크 저감에 관한 연구)

  • Jung, Tae-Uk;Bae, Byung-Duk
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.26 no.2
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    • pp.71-77
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    • 2012
  • The cogging torque is important to the cut-in wind speed. And, it causes the acoustic noise and the vibration on the machine. This paper presents a 3D FEA(Finite Element Analysis) to evaluate the effect of magnet skew and stator displacement on cogging torque reduction, for double core AFPM(Axial Flux Permanent Magnet) generator. As a result, the magnet skew and the stator side displacement are proved excellent techniques to reduce the cogging torque.