• Title/Summary/Keyword: S-shape function

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An efficient C1 beam element via multi-scale material adaptable shape function

  • El-Ashmawy, A.M.;Xu, Yuanming
    • Advances in nano research
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    • v.13 no.4
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    • pp.351-368
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    • 2022
  • Recently, promising structural technologies like multi-function, ultra-load bearing capacity and tailored structures have been put up for discussions. Finite Element (FE) modelling is probably the best-known option capable of treating these superior properties and multi-domain behavior structures. However, advanced materials such as Functionally Graded Material (FGM) and nanocomposites suffer from problems resulting from variable material properties, reinforcement aggregation and mesh generation. Motivated by these factors, this research proposes a unified shape function for FGM, nanocomposites, graded nanocomposites, in addition to traditional isotropic and orthotropic structural materials. It depends not only on element length but also on the beam's material properties and geometric characteristics. The systematic mathematical theory and FE formulations are based on the Timoshenko beam theory for beam structure. Furthermore, the introduced element achieves C1 degree of continuity. The model is proved to be convergent and free-off shear locking. Moreover, numerical results for static and free vibration analysis support the model accuracy and capabilities by validation with different references. The proposed technique overcomes the issue of continuous properties modelling of these promising materials without discarding older ones. Therefore, introduced benchmark improvements on the FE old concept could be extended to help the development of new software features to confront the rapid progress of structural materials.

A study on the Cheoyongmu's costume of the paintings of Banquets during the Choseon dynasty - Focusing on the Comparison of the Cheoyongmu's costume in Akhakgwebeom - (조선시대 연회도에 나타난 '처용무' 복식 - "악학궤범" 처용무 복식과의 비교를 중심으로 -)

  • Kim, Moon-Ja
    • Journal of Fashion Business
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    • v.13 no.4
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    • pp.112-123
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    • 2009
  • The -purpose of this study is to examines the Cheoyongmu's costume of the paintings of Banquets during the Choseon dynasty focusing on the Comparison of the Cheoyongmu's costume in Akhakgwebeom. The method of the study is the literature analysis closely the occurrence, feature, and function of the Cheoyongmu by analyzing the costume process of transition of the eras was analyzed into the function and feature. The research was done by comparing and analyzing the difference of the costume in Akhakgwebeom. In term of difference, of the Cheoyongmu's costume of the paintings of Banquets and Akhakgwebeom had the shape and colour. In headgear, Samo(: 紗帽) or Bokdu was worn and the flower decoration on the Samo and Ui(:衣)was different pattern. The Gilgyong(:吉慶) was not worn. Hye(: 鞋) and Hwa(:靴) was worn and the colour of Hwa was different.

Shape Optimization of S-tube for Heat Exchanger Used in High Temperature Environment Using FE Analysis and DOE (유한요소법과 실험계획법을 이용한 고온 열교환기용 S-관의 형상 최적화)

  • Jeong, Ho-Seung;Cho, Jong-Rae
    • Journal of Advanced Marine Engineering and Technology
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    • v.36 no.4
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    • pp.497-503
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    • 2012
  • The aim of this study was to optimize S-tube shape of heat exchanger in term of reducing the size of tube bundle and improving the mechanical properties such as the thermal stress and resonance. The geometric parameters such as offset length, the straight distance between one end and other end of tube, the tube length in straight portion and fillet radius was assessed as a valid parameters. The structural analysis was performed to estimate the structural characteristics. Main effect analysis was performed to investigate the main effect for the various geometric parameters. The response surface methodology was employed to establish mathematical approximation models as a function of the geometric parameters of the S-tube. Also, The optimization was performed to optimize geometric parameters of S-tube using the regression equations and optimization tool. The optimized tube shape has been proposed. Those could be used in the heat exchanger design used in high temperature.

AERODYNAMIC DESIGN OPTIMIZATION OF ROTOR AIRFOIL WITH MULTIPLE CONSTRAINTS (다중제약조건을 갖는 로터익형의 공력 최적 설계)

  • Lee, S.M.;Sa, J.H.;Jeon, S.E.;Kim, C.J.;Park, S.H.;Chung, K.H.
    • Journal of computational fluids engineering
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    • v.15 no.2
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    • pp.79-85
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    • 2010
  • Aerodynamic design optimization of rotor airfoil has been performed with advanced design method for improved aerodynamic characteristics of ONERA airfoils. A multiple response surface method is used to consider various requirements in rotor airfoil design. Shape functions for mean camber line are proposed to extend possible design domain. Numerical simulations are performed using KFLOW, a Navier-Stokes solver with shear stress transport turbulence model. The present design method provides favorable configurations for the high performance rotor airfoil. Resulting optimized airfoils give better aerodynamic performance than the baseline airfoils.

AERODYNAMIC DESIGN OPTIMIZATION OF OA AIRFOIL USING THE RESPONSE SURFACE METHOD (반응면 기법을 사용한 OA 익형의 공력 최적 설계)

  • Sa, J.H.;Park, S.H.;Kim, C.J.;Yun, C.Y.;Kim, S.H.;Kim, S.H.;Lee, J.W.
    • 한국전산유체공학회:학술대회논문집
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    • 2009.04a
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    • pp.51-56
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    • 2009
  • Optimization with metamodel is one of numerical optimization methods. Response surface method is performed for making metamodel. The Hcks-Henne function is used for designing 2D shape of the airfoil and spring analogy is used to change the grid according to the change in shape of the airfoil. Aerodynamic coefficient required for response surface method are obtained by using Navier-Stokes solver with $\kappa-\omega$ shear stress transport turbulence model. For the baseline airfoils, OA 312, OA 309, and OA 407 airfoils select and optimize to improve aerodynamic performance.

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AERODYNAMIC DESIGN OPTIMIZATION OF ROTOR AIRFOIL WITH MULTIPLE CONSTRAINTS (다중제약조건을 가진 로터익형의 공력 최적 설계)

  • Lee, S.M.;Sa, J.H.;Jeon, S.E.;Kim, C.J.;Park, S.H.;Chung, K.H.
    • 한국전산유체공학회:학술대회논문집
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    • 2010.05a
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    • pp.55-59
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    • 2010
  • Aerodynamic design optimization of rotor airfoil has been performed with advanced design method for improved aerodynamic characteristics of ONERA airfoils as a baseline. A multiple response surface method is used to consider various consider various constraints in rotor airfoil design. Airfoil surface and mean camber line are modified using various shape functions. Numerical simulations are performed using KFLOW, a Navier-Stokes solver with shear stress transport turbulence model. The present design method provides favorable configurations for the high performance rotor airfoil. Resulting optimized air foils give better aerodynamic performance than the baseline airfoils.

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FE modeling for geometrically nonlinear analysis of laminated plates using a new plate theory

  • Bhaskar, Dhiraj P.;Thakur, Ajaykumar G.
    • Advances in aircraft and spacecraft science
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    • v.6 no.5
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    • pp.409-426
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    • 2019
  • The aim of the present work is to study the nonlinear behavior of the laminated composite plates under transverse sinusoidal loading using a new inverse trigonometric shear deformation theory, where geometric nonlinearity in the Von-Karman sense is taken into account. In the present theory, in-plane displacements use an inverse trigonometric shape function to account the effect of transverse shear deformation. The theory satisfies the traction free boundary conditions and violates the need of shear correction factor. The governing equations of equilibrium and boundary conditions associated with present theory are obtained by using the principle of minimum potential energy. These governing equations are solved by eight nodded serendipity element having five degree of freedom per node. A square laminated composite plate is considered for the geometrically linear and nonlinear formulation. The numerical results are obtained for central deflections, in-plane stresses and transverse shear stresses. Finite element Codes are developed using MATLAB. The present results are compared with previously published results. It is concluded that the geometrically linear and nonlinear response of laminated composite plates predicted by using the present inverse trigonometric shape function is in excellent agreement with previously published results.

Numerical Formulation of Axisymmetric Shell Element and Its Application to Geotechnical Problems (축대칭 쉘 요소의 유한요소 수식화와 지반공학적 활용)

  • Shin, Hosung;Kim, Jin-Wook
    • Journal of the Korean Geotechnical Society
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    • v.36 no.12
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    • pp.27-34
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    • 2020
  • Use of axisymmetric shell element for the structure increases the efficiency and accuracy in finite element analysis of the interaction between the ground and the structure. This paper derived the force balance equation and the moment balance equation for an axisymmetric shell element based on Kirchhoff's theory. The governing equation for the axial deformation used the isoparametric shape function in the Galerkin formulation, and the governing equation for the shell bending used the higher-order shape function. The developed axisymmetric shell element was combined with Geo-COUS, a geotechnical finite element program for the coupled analysis with the ground. The accuracy of the developed element was confirmed through the example analyses of the circular plate and the liquid storage tank. And the energy balance equation for the axisymmetric shell element is presented.

A Study on the Ponds of the Korean Traditional Temples (한국 전통사찰의 인공지 연구)

  • 권태철;홍광표
    • Journal of the Korean Institute of Landscape Architecture
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    • v.27 no.2
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    • pp.80-94
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    • 1999
  • The purpose of this study is to analyze and interpret the ponds appeared in the Korean traditional temples. Summarized findings are as follows: First, it appeared that the location of ponds of the Korean traditional temples is, in general, in both the entry space and transitional space of temple. And it is considered that such configurations of the location of ponds were done intentionally in order that the ponds should have a significance as same as the concept that a natural mountain stream separates the sacred place and the secular world. Second, since the size of the ponds appeared in the temples are considered to be what is transformed from the original one, it is hard to understand the real size. However, it is judged that since ponds we see at present played an element of the total space of a temple it is deemed that no significant change of the size of ponds have happened if the size of the structure a temple itself has ever changed. Third, it appeared that the forms of the temple's ponds are diversified in a square, oval, egg-shaped one, round shape(circle), natural shape, etc. and it is identified that most of the ponds inspected for this study appeared to be in shapes of an oval, egg-shaped one, and round shape which take a typical curve. Fourth, regarding the temples whose origins are from the Baekje dynasty or Shilla dynasty among the objects of this case study, there appear some uniform styles for each temple respectively. For example, in both the Junglim Temple's twin pond(定林寺 雙池) and the Mireuk Temple's twin pond(彌勒寺 雙池) which were built in the Baekje dynasty appears a twin-pond in a square shape, and in the Bulkuk temple(佛國寺), Haein temple(海印寺), Tongdo temple(通度寺), etc. which were built in the Silla dynasty appears the ponds in an egg-shape one. Fifth, regarding the function of the ponds appeared in the temples, the ponds are characterized with a lotus pond(蓮池), reflecting pond(影池), and pond complex(蓮 . 影池). In consideration of the 20 ponds in the 15 places of this study's object, there are 8 lotus ponds(蓮池), 6 reflecting ponds(影池), and 6 ponds complex(蓮 . 影池).

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On the Deformation Analysis of the Brake Tube-End for Automobiles (자동차용 브레이크 튜브 관단부의 성형해석)

  • Han, K.T.;Park, J.S.
    • Journal of Power System Engineering
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    • v.6 no.3
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    • pp.31-35
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    • 2002
  • Brake tube is considered one of the most important parts in automobile. The shape of brake tube end has a great influence on the function of brake, and the quality and productivity of brake tube have relation to die design. The forming process of brake tube end is performed by hydraulic press forming machine. In this paper, the forming processes of tube end for automobile is analyzed and designed to make the optimal form of brake tube end. Also, finite element analysis has been carried out using $DEFORM^{TM}% 3D to predict the optimal shape of brake tube end and the results obtained showed the optimal length between punch and chuck is $1.0{\sim}1.2mm$. The shape of tube end is in good agreement with the finite element simulations and the experimental results.

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