• 제목/요약/키워드: Hybrid-Mixed Formulation

검색결과 20건 처리시간 0.02초

Effective modeling of beams with shear deformations on elastic foundation

  • Gendy, A.S.;Saleeb, A.F.
    • Structural Engineering and Mechanics
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    • 제8권6호
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    • pp.607-622
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    • 1999
  • Being a significant mode of deformation, shear effect in addition to the other modes of stretching and bending have been considered to develop two finite element models for the analysis of beams on elastic foundation. The first beam model is developed utilizing the differential-equation approach; in which the complex variables obtained from the solution of the differential equations are used as interpolation functions for the displacement field in this beam element. A single element is sufficient to exactly represent a continuous part of a beam on Winkler foundation for cases involving end-loadings, thus providing a benchmark solution to validate the other model developed. The second beam model is developed utilizing the hybrid-mixed formulation, i.e., Hellinger-Reissner variational principle; in which both displacement and stress fields for the beam as well as the foundation are approxmated separately in order to eliminate the well-known phenomenon of shear locking, as well as the newly-identified problem of "foundation-locking" that can arise in cases involving foundations with extreme rigidities. This latter model is versatile and indented for utilization in general applications; i.e., for thin-thick beams, general loadings, and a wide variation of the underlying foundation rigidity with respect to beam stiffness. A set of numerical examples are given to demonstrate and assess the performance of the developed beam models in practical applications involving shear deformation effect.

Hybrid RANS/LES simulations of a bluff-body flow

  • Camarri, S.;Salvetti, M.V.;Koobus, B.;Dervieux, A.
    • Wind and Structures
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    • 제8권6호
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    • pp.407-426
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    • 2005
  • A hybrid RANS/LES approach, based on the Limited Numerical Scales concept, is applied to the numerical simulation of the flow around a square cylinder. The key feature of this approach is a blending between two eddy-viscosities, one given by the $k-{\varepsilon}$ RANS model and the other by the Smagorinsky LES closure. A mixed finite-element/finite-volume formulation is used for the numerical discretization on unstructured grids. The results obtained with the hybrid approach are compared with those given by RANS and LES simulations for three different grid resolutions; comparisons with experimental data and numerical results in the literature are also provided. It is shown that, if the grid resolution is adequate for LES, the hybrid model recovers the LES accuracy. For coarser grid resolutions, the blending criterion appears to be effective to improve the accuracy of the results with respect to both LES and RANS simulations.

Harmonic Axisymmetric Thick Shell Element for Static and Vibration Analyses

  • Kim, Jin-Gon
    • Journal of Mechanical Science and Technology
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    • 제18권10호
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    • pp.1747-1754
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    • 2004
  • In this study, a new harmonic axisymmetric thick shell element for static and dynamic analyses is proposed. The newly proposed element considering shear strain is based on a modified Hellinger-Reissner variational principle, and introduces additional nodeless degrees for displacement field interpolation in order to enhance numerical performance. The stress parameters selected via the field-consistency concept. are very important in formulating a trouble-free hybrid-mixed elements. For computational efficiency, the stress parameters are eliminated by the stationary condition and then the nodeless degrees are condensed out by the dynamic reduction. Several numerical examples confirm that the present element shows improved efficiency and yields very accurate results for static and vibration analyses.

혼합 유한요소를 이용한 축대칭 쉘의 정.동적해석 (Static and Vibration Analysis of Axisymmetric Shells Using Mixed Finite Element)

  • 김진곤;노병국
    • 한국전산구조공학회논문집
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    • 제16권2호
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    • pp.165-172
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    • 2003
  • 본 연구에서는 축대칭 쉘구조물의 정동적해석을 효과적으로 수행할 수 있는 새로운 유한요소를 제안하였다. 본 유한요소는 축대칭 쉘의 전단변형률을 고려하였으며, 쉘의 경계에서 기술할 수 있는 변수들만으로 표현되는 효율적인 형태의 수정된 혼합 변분이론에 바탕하여 유한요소정식화를 수행하였다. 또한, 변위장에 대해 무절점 자유도를 추가적으로 도입하여 요소의 수치적 성능을 크게 향상시켰다 계산의 효율성을 위해, 요소정식화의 최종단계에서 정치조건으로부터 응력매개변수들을 제거하고, 동적축약을 통하여 무절점 자유도 성분들 또한 최종적인 유한요소방정식에서 제거되어짐으로써, 일반적인 변위기저 요소와 같은 크기의 유한요소방정식을 얻을 수 있다. 몇 가지 수치예제들에 대한 해석을 통하여, 무절점 자유도와 변위장에 일치하는 적절한 응력매개변수를 가지는 제안된 혼합 축대칭 쉘요소가 정동적해석에서 대단히 정확하고 효율적임을 확인할 수 있었다

이차원 하이브리드 요소를 이용한 균열을 내포하는 용접점의 유한요소 파단해석 (Fracture Analysis of Spot-Welds with Edge Cracks using 2-D Hybrid Special Finite Element)

  • 송정한;양춘휘;허훈;김홍기;박성호
    • 소성∙가공
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    • 제13권6호
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    • pp.484-489
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    • 2004
  • This paper employed a systematic analysis using a 2-D hybrid special finite element containing an edge crack in order to describe the fracture behavior of spot-welds in automotive structures. The 2-D hybrid special finite element is derived form a mixed formulation with a complex potential function with the description of the singularity of a stress field. The hybrid special finite element containing an edge crack can give a better description of its singularity with only one hybrid element surrounding one crack. The advantage of this special element is that it can greatly simplify the numerical modeling of the spot welds. Some numerical examples demonstrate the validity and versatility of the present analysis method. The lap-shear, lap-tension and angle-clip specimens are analyzed and some useful fracture parameters such as the stress intensity factor and the initial direction of crack growth are obtained simultaneously.

Dynamic characteristics of hybrid tower of cable-stayed bridges

  • Abdel Raheem, Shehata E.
    • Steel and Composite Structures
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    • 제17권6호
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    • pp.803-824
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    • 2014
  • The dynamic characterization is important in making accurate predictions of the seismic response of the hybrid structures dominated by different damping mechanisms. Different damping characteristics arise from the construction of the tower with different materials: steel for the upper part; reinforced concrete for the lower main part and interaction with supporting soil. The process of modeling damping matrices and experimental verification is challenging because damping cannot be determined via static tests as can mass and stiffness. The assumption of classical damping is not appropriate if the system to be analyzed consists of two or more parts with significantly different levels of damping, such as steel/concrete mixed structure - supporting soil coupled system. The dynamic response of structures is critically determined by the damping mechanisms, and its value is very important for the design and analysis of vibrating structures. An analytical approach capable of evaluating the equivalent modal damping ratio from structural components is desirable for improving seismic design. Two approaches are considered to define and investigate dynamic characteristics of hybrid tower of cable-stayed bridges: The first approach makes use of a simplified approximation of two lumped masses to investigate the structure irregularity effects including damping of different material, mass ratio, frequency ratio on dynamic characteristics and modal damping; the second approach employs a detailed numerical step-by step integration procedure in which the damping matrices of the upper and the lower substructures are modeled with the Rayleigh damping formulation.

준비시간이 있는 혼합모델 조립라인의 제품투입순서 결정 : Tabu Search 기법 적용 (Sequencing in Mixed Model Assembly Lines with Setup Time : A Tabu Search Approach)

  • 김여근;현철주
    • 한국경영과학회지
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    • 제13권1호
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    • pp.13-13
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    • 1988
  • This paper considers the sequencing problem in mixed model assembly lines with hybrid workstation types and sequence-dependent setup times. Computation time is often a critical factor in choosing a method of determining the sequence. We develop a mathematical formulation of the problem to minimize the overall length of a line, and present a tabu search technique which can provide a near optimal solution in real time. The proposed technique is compared with a genetic algorithm and a branch-and-bound method. Experimental results are reported to demonstrate the efficiency of the technique.

신규 자외선차단제로서 메톡시신나미도프로필폴리실세스퀴옥산의 in vitro SPF 평가 및 화장품에의 적용성에 대한 연구 (Studies on the in vitro SPF Assay and Application of Cosmetic Formulation of Methoxycinnamidopropyl Polysilsesquioxane with a New UV-screening Agent)

  • 정택규;김영백;윤태진;윤경섭
    • 대한화장품학회지
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    • 제36권1호
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    • pp.47-55
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    • 2010
  • 기존의 유기계 자외선차단제는 피부에 대한 자극과 투과의 문제, 무기계 자외선차단제는 백탁현상 등 몇 가지 문제점이 알려져 있다. 최근에 보다 효과적인 자외선차단제를 개발하기 위한 연구가 진행되고 있으며, 그 중의 하나가 유기/무기 복합구조의 자외선차단제에 대한 연구이다. 본 연구진은 새로운 자외선차단제인 메톡시선나마도프로필폴리설세스퀴옥산의 제조와 그 효과에 대해 보고한 바 있다. 특별히, 본 연구는 신규 자외선차단제의 화학적 구조에 대한 정성적인 분석과 향상된 자외선차단 효과 및 화장료 제형에 대한 적용성을 평가하였다. 자외선차단제의 구조분석은 TGA, solid state NMR, 원소분석을 이용하여 평가하였으며, 자외선차단지수는 5 wt%를 포함하는 제형을 평가하였을 때, 6.0 정도의 수치를 보였다. 또한 기존의 유기 및 무기 자외선차단제와 혼합적용 시, 자외선차단효과에 대한 우수한 시너지 효과를 나타내었으며 W/S 유형의 화장료 제형에서 우수한 적용성을 보였다.

효율적인 C0 적층 곡선보 요소의 개발 (A New and Efficient C0 Laminated Curved Beam Element)

  • 김진곤;강상욱
    • 대한기계학회논문집A
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    • 제27권4호
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    • pp.559-566
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    • 2003
  • In this study, we present a new highly accurate two-dimensional curved composite beam element. The present element, which is based on the Hellinger-Reissner variational principle and classical lamination theory, employs consistent stress parameters corresponding to cubic displacement polynomials with additional nodeless degrees to resolve the numerical difficulties due to the spurious constraints. The stress parameters are eliminated and the nodeless degrees are condensed out to obtain the (9x9) element stiffness matrix. It should be noted that the stacking sequences without transverse deformation to the load plane makes a two dimensional analysis of curved composite beams practically useful . Several numerical examples confirm the superior locking-free behavior of the present higher-order laminated curved beam element.

Effects of Different Cutting Height on Nutritional Quality of Whole Crop Barley Silage and Feed Value on Hanwoo Heifers

  • Kim, Dong Hyeon;Amanullah, Sardar M.;Lee, Hyuk Jun;Joo, Young Ho;Han, Ouk Kyu;Adesogan, Adegbola T.;Kim, Sam Churl
    • Asian-Australasian Journal of Animal Sciences
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    • 제29권9호
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    • pp.1265-1272
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    • 2016
  • The present study evaluated the effects of different cutting height on nutritive value, fermentation quality, in vitro and in vivo digestibility of whole crop barley silage. Whole crop barley forage (Yuyeon hybrid) was harvested at height of 5, 10, and 15 cm from the ground level. Each cutting height was rolled to make round bale and ensiled for 100 days. After 100 days of ensiling, pH of silage was lower (p<0.05) in 5 cm, but no difference between 10 and 15 cm of cutting height. The content of lactate and lactate to acetate ratio were increased (p<0.05) in 5 cm of cutting height, whereas the acetate content was higher (p<0.05) in 10 and 15 cm than that of 5 cm cutting height. Aerobic stability was greater (p<0.05) in silages of 10 and 15 cm of cutting height. Three total mixed rations (TMR) were formulated with silages from the three different cutting heights (TMR5, TMR10, and TMR15) incorporated as forage at 70:30 ratio with concentrate (dry matter [DM] basis). In vitro dry matter digestibility was higher (p<0.05) in the TMR5 and TMR10 than that in TMR15, whereas in vitro neutral detergent fiber digestibility was higher (p<0.05) in the TMR10 and TMR15 than that in TMR5. Concentration of $NH_3-N$ was highest (p<0.05) in the TMR10 followed by TMR15 and TMR5. Total volatile fatty acid was decreased (p<0.05) with increased cutting height. The digestibility of DM and neutral detergent fiber were highest (p<0.05) in TMR15, than those in TMR5 and TMR10, whereas acid detergent fiber digestibility was higher (p<0.05) in TMR5 than that in TMR10. The results showed that increasing cutting height, at least up to 10 to 15 cm, of whole crop barley forage at harvest (Yuyeon) may be beneficial for making silage for TMR formulation and increasing digestibility of DM and NDF.