• 제목/요약/키워드: quadrature rule

검색결과 77건 처리시간 0.025초

Fluid-structure interaction system predicting both internal pore pressure and outside hydrodynamic pressure

  • Hadzalic, Emina;Ibrahimbegovic, Adnan;Dolarevic, Samir
    • Coupled systems mechanics
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    • 제7권6호
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    • pp.649-668
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    • 2018
  • In this paper, we present a numerical model for fluid-structure interaction between structure built of porous media and acoustic fluid, which provides both pore pressure inside porous media and hydrodynamic pressures and hydrodynamic forces exerted on the upstream face of the structure in an unified manner and simplifies fluid-structure interaction problems. The first original feature of the proposed model concerns the structure built of saturated porous medium whose response is obtained with coupled discrete beam lattice model, which is based on Voronoi cell representation with cohesive links as linear elastic Timoshenko beam finite elements. The motion of the pore fluid is governed by Darcy's law, and the coupling between the solid phase and the pore fluid is introduced in the model through Biot's porous media theory. The pore pressure field is discretized with CST (Constant Strain Triangle) finite elements, which coincide with Delaunay triangles. By exploiting Hammer quadrature rule for numerical integration on CST elements, and duality property between Voronoi diagram and Delaunay triangulation, the numerical implementation of the coupling results with an additional pore pressure degree of freedom placed at each node of a Timoshenko beam finite element. The second original point of the model concerns the motion of the outside fluid which is modeled with mixed displacement/pressure based formulation. The chosen finite element representations of the structure response and the outside fluid motion ensures for the structure and fluid finite elements to be connected directly at the common nodes at the fluid-structure interface, because they share both the displacement and the pressure degrees of freedom. Numerical simulations presented in this paper show an excellent agreement between the numerically obtained results and the analytical solutions.

Axisymmetric vibration analysis of a sandwich porous plate in thermal environment rested on Kerr foundation

  • Zhang, Zhe;Yang, Qijian;Jin, Cong
    • Steel and Composite Structures
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    • 제43권5호
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    • pp.581-601
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    • 2022
  • The main objective of this research work is to investigate the free vibration behavior of annular sandwich plates resting on the Kerr foundation at thermal conditions. This sandwich configuration is composed of two FGM face sheets as coating layer and a porous GPLRC (GPL reinforced composite) core. It is supposed that the GPL nanofillers and the porosity coefficient vary continuously along the core thickness direction. To model closed-cell FG porous material reinforced with GPLs, Halpin-Tsai micromechanical modeling in conjunction with Gaussian-Random field scheme is used, while the Poisson's ratio and density are computed by the rule of mixtures. Besides, the material properties of two FGM face sheets change continuously through the thickness according to the power-law distribution. To capture fundamental frequencies of the annular sandwich plate resting on the Kerr foundation in a thermal environment, the analysis procedure is with the aid of Reddy's shear-deformation plate theory based high-order shear deformation plate theory (HSDT) to derive and solve the equations of motion and boundary conditions. The governing equations together with related boundary conditions are discretized using the generalized differential quadrature (GDQ) method in the spatial domain. Numerical results are compared with those published in the literature to examine the accuracy and validity of the present approach. A parametric solution for temperature variation across the thickness of the sandwich plate is employed taking into account the thermal conductivity, the inhomogeneity parameter, and the sandwich schemes. The numerical results indicate the influence of volume fraction index, GPLs volume fraction, porosity coefficient, three independent coefficients of Kerr elastic foundation, and temperature difference on the free vibration behavior of annular sandwich plate. This study provides essential information to engineers seeking innovative ways to promote composite structures in a practical way.

Formulation and evaluation a finite element model for free vibration and buckling behaviours of functionally graded porous (FGP) beams

  • Abdelhak Mesbah;Zakaria Belabed;Khaled Amara;Abdelouahed Tounsi;Abdelmoumen A. Bousahla;Fouad Bourada
    • Structural Engineering and Mechanics
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    • 제86권3호
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    • pp.291-309
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    • 2023
  • This paper addresses the finite element modeling of functionally graded porous (FGP) beams for free vibration and buckling behaviour cases. The formulated finite element is based on simple and efficient higher order shear deformation theory. The key feature of this formulation is that it deals with Euler-Bernoulli beam theory with only three unknowns without requiring any shear correction factor. In fact, the presented two-noded beam element has three degrees of freedom per node, and the discrete model guarantees the interelement continuity by using both C0 and C1 continuities for the displacement field and its first derivative shape functions, respectively. The weak form of the governing equations is obtained from the Hamilton principle of FGP beams to generate the elementary stiffness, geometric, and mass matrices. By deploying the isoparametric coordinate system, the derived elementary matrices are computed using the Gauss quadrature rule. To overcome the shear-locking phenomenon, the reduced integration technique is used for the shear strain energy. Furthermore, the effect of porosity distribution patterns on the free vibration and buckling behaviours of porous functionally graded beams in various parameters is investigated. The obtained results extend and improve those predicted previously by alternative existing theories, in which significant parameters such as material distribution, geometrical configuration, boundary conditions, and porosity distributions are considered and discussed in detailed numerical comparisons. Determining the impacts of these parameters on natural frequencies and critical buckling loads play an essential role in the manufacturing process of such materials and their related mechanical modeling in aerospace, nuclear, civil, and other structures.

p-Version 비선형 유한요소모델링과 실험적 검증에 의한 팻취 보강된 RC보와 슬래브의 극한강도 산정 (Numerical Prediction of Ultimate Strength of RC Beams and Slabs with a Patch by p-Version Nonlinear Finite Element Modeling and Experimental Verification)

  • 안재석;박진환;우광성
    • 한국전산구조공학회논문집
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    • 제17권4호
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    • pp.375-387
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    • 2004
  • 팻취 보강된 철근콘크리트 구조물 해석을 위한 p-version 비선형 유한요소 모델이 제시되었다. 이방성 적층평판이론에 기초를 둔 제안된 모델은 Total Lagrangian기법에 기초한 von Karman의 대변형-소변형률 이론과 증분소성이론(incremental theory of plasticity)을 적용하였다. 콘크리트의 경화법칙(hardening rule)과 그에 따른 파괴기준을 고려하고, 단부 계면 층분리 모델(plate-end interfacial debonding model) 즉, 보강판 끝 부분에서의 콘크리트 탈락에 대한 기준으로서 Oehlers Model과 Raoof and Zhang Model을 사용하였다. 콘크리트는 두께 방향으로 층상화기법(layered model)이 이용되며, 철근과 보강판은 환산층(smeared reinforcing layer)으로 계산되도록 하였다 적분형 르장드르 다항식이 형상함수로 사용되며, 절점에서의 응력값 산출을 위해 Gauss Lobatto 수치적분법을 사용하였다. 본 연구의 목적은 p-version 유한요소법을 사용하여 RC구조물에 대한 수피해의 정확도 및 모델의 단순성을 높인 수 있도록 하였다. 따라서, 철근과 콘크리트모델에 대한 이론적 근거는 기존의 연구문헌에 근거를 두었으며, 수치해석의 적정성은 팻취 보강된 RC보와 슬래브에 대한 문헌의 실험치 및 해석치와 비교 분석되었다.

Motor Control IP Design and Quality Evaluation from the Viewpoint of Reuse (ICCAS 2004)

  • Lee, Sang-Deok;Han, Sung-Ho;Kim, Min-Soo;Park, Young-Jun
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2004년도 ICCAS
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    • pp.981-985
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    • 2004
  • In this paper we designed the motor control IP Core and evaluate its quality from the viewpoint of IP reuse. The most attractive merit of this methodology, so called IP-based hardware design, is hardware reuse. Although various vendors designed hardware with the same specification and got the same functional results, all that IPs is not the same quality in the reuse aspect. As tremendous calls for SoC have been increased, associated research about IP quality standard, VSIA(Virtual Socket Interface Alliance) and STARC(Semiconductor Technology Academic Research Center), has been doing best to make the IP quality evaluation system. And they made what conforms to objective IP design standard. We suggest the methodology to evaluate our own designed motor control IP quality with this standard. To attain our goal, we designed motor control IP that could control the motor velocity and position with feedback compensation algorithm. This controller has some IP blocks : digital filter, quadrature decoder, position counter, motion compensator, and PWM generator. Each block's functionality was verified by simulator ModelSim and then its quality was evaluated. To evaluate the core, We use Vnavigator for lint test and ModelSim for coverage check. During lint process, We adapted the OpenMORE's rule based on RMM (Reuse Methodology Manual) and it could tell us our IP's quality in a manner of the scored value form. If it is high, its quality is also high, and vice versa. During coverage check ModelSim-SE is used for verifying how our test circuits cover designs. This objective methods using well-defined commercial coverage metrics could perform a quantitative analysis of simulation completeness. In this manner, We evaluated the designed motor control IP's quality from the viewpoint of reuse. This methodology will save the time and cost in designing SoC that should integrate various IPs. In addition to this, It can be the guide for comparing the equally specified IP's quality. After all, we are continuously looking forward to enhancing our motor control IP in the aspect of not only functional perfection but also IP reuse to prepare for the SoC-Compliant motor control IP design.

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기하 및 재료비선형을 갖는 적층평판의 p-Version 유한요소해석 (p-Version Finite Element Analysis of Composite Laminated Plates with Geometric and Material Nonlinearities)

  • 홍종현;박진환;우광성
    • 한국전산구조공학회논문집
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    • 제15권3호
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    • pp.491-499
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    • 2002
  • 직교이방성 적층평판해석을 위해 퇴화 쉘요소에 기초를 둔 p-version 유한요소법이 제안되었다. 이 모델의 비선형 정식화과정에서 기하비선형의 경우 von Karman의 대변형-소변형률 가정을 설명하기 위해 Total Lagrangian 방법이 채택되었으며, 재료비선형의 경우 Huber-Mises의 항복기준과 변형률경화 항복함수에 근거를 둔 Prandtl-Reuss 유동법칙이 사용되었다. 재료모델은 이방성을 표현하는 매개변수에 의해 이방겅재료를 고려할 수 있도록 하였다. 적층평판이론으로는 전단변형 효과를 고려할 수 있는 등가단출이론(ESL Theory)에 기초를 두었기 때문에 두 적층간 계면에서의 전단변형률은 연속이라는 조건을 갖게된다 적분형 르장드르 다항식이 형상함수로 사용되었으며 형상함수의 차수는 1차에서 10차까지 변화시킬 수 있다. 또한, Causs-Lobatto 수치적될법을 사용하기 때문에 기존의 가우스 적분점에서 계산되던 응력값은 이 적분법의 적분점이 절점에 위치하므로 절점에서 바로 응력값이 산출되도록 하였다 극한하중 수렴성, 비선형 효과, 소성역의 형상 등의 비교관점을 통해 p-version 유한요소 모델의 적정성을 보이고자 하였다.

2차원 직각좌표계에서 DEM을 이용한 ray effect의 해석 (Ray Effect Analysis Using the Discrete Elements Method in X-Y Geometry)

  • 최호신;김종경
    • Journal of Radiation Protection and Research
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    • 제17권1호
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    • pp.43-56
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    • 1992
  • 입자 수송방정식에서 각변수(angular variable)를 각분할근사법으로 해석할 때 나타나는 이상 현상인 ray effect를 치유할 수 있는 방법의 하나로써, 유한 분할각(discrete angle quadrature)을 입자속의 공간적 분포로써 조종하는 방법인 각분할요소법 (discrete elements method)을 근거로 하여 2차원 직각좌표계에서의 입자 수송 해석 프로그램(TWODET)을 개발하였다. 평판형 등방적 고정선원이 존재하는 균질 사각형 흡수체에 대해 TWODET로 해석한 결과, 각 요소가 K-2, L인 경우에도 DOT 4.3(S-10)에서보다 ray effect 치유에 더 효과가 있음을 확인하였다. 그러나, 계산시간은 기존의 각분할법에서보다 약 4배 더 소비되었다. 선원에서 바로 진공(vacuum boundary)으로 떨어지는 구조의 경우, TWODET의 결과에서도 심한 왜곡을 보이고 있는데 선원과 바로 이웃한 진공간의 급격한 불연속성으로 인함으로 추측된다 고정선원이 있는 매질에 강한 흡수체가 추가된 구조의 경우에서도 TWODET(K-3, L-4)로 DOT 4.3(S-10)보다 좋은 결과를 보였다.

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