• 제목/요약/키워드: Finite macro-element

검색결과 97건 처리시간 0.023초

다중면 하중하에 정방향 대층구조를 가진 격자재료의 연속적인 소성모델 (Continuum Based Plasticity Models for Cubic Symmetry Lattice Materials Under Multi-Surface Loading)

  • 선우현;허종완
    • 복합신소재구조학회 논문집
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    • 제2권3호
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    • pp.1-11
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    • 2011
  • 본 연구에서는 하위 요소로(sub-element) 구성된 3차원 대칭 단위 요소들로 조합된 트러스 격자 구조물의 연속적인 물성치를 제안하였다. 개별적인 트러스 격자 물성치는 균질화 작업을 통하여 유효한 응력과 변형률 관계로 이루어진 연속적인 물성치 모델로 나타낼 수 있다. 미시적인 규모(micro scale) 스트럿의 인장이나 압축 응답에 의한 축강성은 전체 격자재료의 대부분의 강도를 차지하고, 이러한 스트럿의 부피 분율(fraction)은 효과적인 강도뿐만 아니라 복제 가능한 단위 요소로 이루어진 격자판의 상대밀도에 큰 영향을 주었다. 그러므로 균질한 강성부재로 구성된 연속적인 구성모델은 미시적인 규모로 간주되는 스트럿의 강도, 내부응력 상태 및 부피 분율과 관련된 역학적인 특성들을 포함하고 있다는 것을 확인할 수 있었다. 미시적인 규모의 응력에서 소성흐름은 균질한 구성식에서 파생된 거시적인 규모에서의 (macro-scale)응력 표면에 있는 연속적인 응력함수의 영역을 확장한다. 따라서 본 연구를 통하여 3차원 대칭 단위요소 구조물의 기본 기하학을 조사하고 압력에 의존적인 마크로 규모에서의 (macro-scale) 응력함수를 예측하는 연속적인 소성모델을 공식화하였다.

Effects of macroporosity and double porosity on noise control of acoustic cavity

  • Sujatha, C.;Kore, Shantanu S.
    • Advances in aircraft and spacecraft science
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    • 제3권3호
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    • pp.351-366
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    • 2016
  • Macroperforations improve the sound absorption performance of porous materials in acoustic cavities and in waveguides. In an acoustic cavity, enhanced noise reduction is achieved using porous materials having macroperforations. Double porosity materials are obtained by filling these macroperforations with different poroelastic materials having distinct physical properties. The locations of macroperforations in porous layers can be chosen based on cavity mode shapes. In this paper, the effect of variation of macroporosity and double porosity in porous materials on noise reduction in an acoustic cavity is presented. This analysis is done keeping each perforation size constant. Macroporosity of a porous material is the fraction of area covered by macro holes over the entire porous layer. The number of macroperforations decides macroporosity value. The system under investigation is an acoustic cavity having a layer of poroelastic material rigidly attached on one side and excited by an internal point source. The overall sound pressure level (SPL) inside the cavity coupled with porous layer is calculated using mixed displacement-pressure finite element formulation based on Biot-Allard theory. A 32 node, cubic polynomial brick element is used for discretization of both the cavity and the porous layer. The overall SPL in the cavity lined with porous layer is calculated for various macroporosities ranging from 0.05 to 0.4. The results show that variation in macroporosity of the porous layer affects the overall SPL inside the cavity. This variation in macroporosity is based on the cavity mode shapes. The optimum range of macroporosities in poroelastic layer is determined from this analysis. Next, SPL is calculated considering periodic and nodal line based optimum macroporosity. The corresponding results show that locations of macroperforations based on mode shapes of the acoustic cavity yield better noise reduction compared to those based on nodal lines or periodic macroperforations in poroelastic material layer. Finally, the effectiveness of double porosity materials in terms of overall sound pressure level, compared to equivolume double layer poroelastic materials is investigated; for this the double porosity material is obtained by filling the macroperforations based on mode shapes of the acoustic cavity.

초탄성 복합재의 평균장 균질화 데이터 기반 멀티스케일 해석 (A Data-driven Multiscale Analysis for Hyperelastic Composite Materials Based on the Mean-field Homogenization Method)

  • 김수한;이원주;신현성
    • Composites Research
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    • 제36권5호
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    • pp.329-334
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    • 2023
  • 기존의 멀티스케일 유한요소법(Multiscale finite element, FE2 )은 거시 스케일의 모든 적분점에서 대표 체적요소(representative volume element, RVE)의 미시 경계치 문제를 반복적으로 계산하기 때문에 긴 해석 시간과 많은 데이터 저장 공간을 필요로 한다. 이를 해결하기 위해 본 연구에서 평균장 균질화 데이터 기반 멀티스케일 해석 기법을 개발하였다. 데이터 기반 전산역학(data-driven computational mechanics, DDCM) 해석은 변형률-응력 데이터 셋을 직접적으로 사용하는 모델-프리(model-free)접근 방식이다. 멀티스케일 해석을 수행하기 위해, 평균장 균질화(mean-field homogenization)를 활용하여 복합재의 미세구조에 대한 변형률-응력 데이터베이스(database)를 효율적으로 구축하고, 이를 기반으로 데이터 기반 전산역학 시뮬레이션을 수행하였다. 본 논문에서는 개발한 멀티 스케일 해석 프레임워크(framework)를 예제에 적용하여, 초탄성(hyperelasticity) 복합재의 미세 구조를 고려한 데이터 기반 전산역학 시뮬레이션 결과를 확인하였다. 따라서, 데이터 기반 전산역학 접근 방식을 활용한 멀티스케일 해석기법은 다양한 재료 및 구조에 적용될 수 있으며, 멀티스케일 해석 연구 및 응용 가능성을 열어줄 것으로 기대된다.

The actuation equation of macro-fiber composite coupled plate and its active control over the vibration of plate and shell

  • Tu, Jianwei;Zhang, Jiarui;Zhu, Qianying;Liu, Fan;Luo, Wei
    • Structural Monitoring and Maintenance
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    • 제5권2호
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    • pp.297-311
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    • 2018
  • Plate and shell structure is widely applied in engineering, i.e. building roofs, aircraft wings, ship platforms, and satellite solar arrays. Its vibration problem has become increasingly prominent due to the tendency of lightening, upsizing and flexibility. As a new smart material with great actuating force and toughness, macro-fiber composite (MFC) is composed of piezoelectric fiber and epoxy resin basal body, which can be directly pasted onto the surface of plate and shell and is suitable for vibration control. This paper deduces the actuation equation of MFC coupled plate in different boundary conditions, an equivalent finite element modeling method is proposed which uses MFC actuating force as the applied excitation, and on this basis the active control simulation and experiment of MFC over plate and shell structure vibration are accomplished. The results indicate that MFC is able to implement effective control over plate and shell structure vibration in multi-band range. The comparison between experiment and simulation proves that the actuation equation deduced herein, effective and practicable, can be applied into the simulation calculation of MFC vibration control over plate and shell structure.

혼합이론에 근거한 반용융 재료의 고상률 분포 예측 (Prediction of Distribution of Solid Volume Fraction in Semi-Solid Materials Based on Mixture Theory)

  • 윤종훈;김낙수;임용택
    • 소성∙가공
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    • 제8권4호
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    • pp.399-406
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    • 1999
  • It is more appropriate to treat that the semi-solid mixture as a single phase material that obeys incompressibility in the global sense and to analyze the liquid flow only locally than the approach based on compressible yield criteria. In the present study, a numerical algorithm of updating the solid volume fraction based on mixture theory has been developed. Finite element analysis of simple upsetting was carried out using the proposed algorithm to investigate the degree of macro-segregation according to friction conditions and compressive strain rates under the isothermal condition. The simulation results were compared to experimental results available in reference to test the validity of the currently proposed algorithm. Since the comparison results show a good agreement it is construed that the proposed algorithm can contribute to the development of numerical analysis of determining the solid volume fraction semi-solid processing.

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평직에 대한 투과율 계수의 균질화 (Asymptotic Expansion Homogenization of Permeability Tensor for Plain Woven Fabrics)

  • 송영석;윤재륜
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2005년도 춘계학술발표대회 논문집
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    • pp.134-136
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    • 2005
  • Homogenization method is adopted to predict the permeability tenor for glass fiber plain woven fabrics. Calculating the permeability tensor numerically is an encouraging task because the permeability tensor is a key parameter in resin transfer molding (RTM). Based on multi-scale approach of the homogenization method, the permeability for the micro-unit cell within fiber tow is computed and compared with that obtained from flow analysis for the same micro-unit cell. It is found that they are in good agreement. In order to calculate the permeability tensor of macro-unit cell for the plain woven fabrics, the Stokes and Brinkman equations which describe inter-tow and intra-tow flow respectively are employed as governing equations. The effective permeabilities homogenized by considering intra-tow flow are compared with those obtained experimentally. Control volume finite element method (CVFEM) is used as a numerical method. It is shown that the asymptotic expansion homogenization method is an attractive method to predict the effective permeability for heterogeneous media.

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미세 성형 부품의 성형 공정 해석 및 실험 (A Experimental Study and FE Analysis of the Forming Process with Milli-Component Forming)

  • 구태완;강범수;오수익
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2001년도 춘계학술대회 논문집
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    • pp.235-238
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    • 2001
  • Milli-structure components are classified as a component group whose size is between macro and micro scales, that is, about less than 20mm and larger than 1mm. The forming of these components has a typical phenomenon of bulk deformation with thin sheets because of the forming size. In this study, milli-structure rectangular cup drawing is analyzed and measured using the finite element method and experiment. Generally, milli-structure containers or cases like cellular phone vibrator consist of rectangular-shaped drawing to save installation space. A systematic approach is established for the design and the experiment of the forming processes for rectangular milli-structure cases. To verify the simulation results, the experimental investigations were also carried out on a real industrial product. The numerical analysis by FEM shows good agreement with the experimental results in view of the deformation shape of the product.

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Mesoscopic study on historic masonry

  • Sejnoha, J.;Sejnoha, M.;Zeman, J.;Sykora, J.;Vorel, J.
    • Structural Engineering and Mechanics
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    • 제30권1호
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    • pp.99-117
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    • 2008
  • This paper presents a comprehensive approach to the evaluation of macroscopic material parameters for natural stone and quarry masonry. To that end, a reliable non-linear material model on a meso-scale is developed to cover the random arrangement of stone blocks and quasi-brittle behaviour of both basic components, as well as the impaired cohesion and tensile strength on the interface between the blocks and mortar joints. The paper thus interrelates the following three problems: (i) definition of a suitable periodic unit cell (PUC) representing a particular masonry structure; (ii) derivation of material parameters of individual constituents either experimentally or running a mixed numerical-experimental problem; (iii) assessment of the macroscopic material parameters including the tensile and compressive strengths and fracture energy.

검사체적 유한요소법을 이용한 다축 브레이드 프리폼의 투과율 계수 예측 (Prediction of Permeability for Multi-axial Braided Preform by Using CVFEM)

  • Y. S. Song;K. Chung;T. J. Kang;J. R. Youn
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2002년도 추계학술발표대회 논문집
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    • pp.68-70
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    • 2002
  • Prediction of 3-D permeability tensor for multi-axial preform is critical to model and design the manufacturing process of composites by considering resin flow through the multi-axial fiber structure. In this study, the in-plane and transverse permeabilities for braided preform are predicted numerically. The flow analyses are calculated by using 3-D CVFEM(control volume finite element method) for macro-unit cells. To avoid checker-board pressure field and improve the efficiency of numerical computation, a new interpolation function for velocity is proposed on the basis of analytic solutions. Permeability of a braided preform is measured through unidirectional flow experiment and compared with the permeability calculated numerically. Unlike other studies, the current study is based on more realistic unit cell and prediction of permeability is improved.

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MFC와 능동 제어를 이용한 손상된 복합재의 동적 특성 복원 (Dynamic Characteristics Modification of Damaged Composite Structure Using MFC and Active Control Algorithm)

  • 손정우;김흥수
    • 한국소음진동공학회논문집
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    • 제23권12호
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    • pp.1066-1072
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    • 2013
  • In this work, active control algorithm is adopted to reduce delamination effects of the damaged composite structure and control performance with MFC actuator is numerically evaluated. Finite element model for the damaged composite structure with piezoelectric actuator is established based on improved layerwise theory. In order to achieve high control performance, MFC actuator, which has increased actuating force, is considered as a piezoelectric actuator. Mode shapes and corresponding natural frequencies for the damaged smart composite structure are studied. After design and implementation of active controller, dynamic characteristics of the damaged smart composite structure are investigated.