• 제목/요약/키워드: Finite Flat Plate

검색결과 183건 처리시간 0.021초

An exact finite strip for the calculation of relative post-buckling stiffness of isotropic plates

  • Ovesy, H.R.;Ghannadpour, S.A.M.
    • Structural Engineering and Mechanics
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    • 제31권2호
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    • pp.181-210
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    • 2009
  • This paper presents the theoretical developments of an exact finite strip for the buckling and initial post-buckling analyses of isotropic flat plates. The so-called exact finite strip is assumed to be simply supported out-of-plane at the loaded ends. The strip is developed based on the concept that it is effectively a plate. The present method, which is designated by the name Full-analytical Finite Strip Method in this paper, provides an efficient and extremely accurate buckling solution. In the development process, the Von-Karman's equilibrium equation is solved exactly to obtain the buckling loads and the corresponding form of out-of-plane buckling deflection modes. The investigation of thin flat plate buckling behavior is then extended to an initial post-buckling study with the assumption that the deflected form immediately after the buckling is the same as that obtained for the buckling. It is noted that in the present method, only one of the calculated out-of-plane buckling deflection modes, corresponding to the lowest buckling load, i.e., the first mode is used for the initial post-buckling study. Thus, the postbuckling study is effectively a single-term analysis, which is attempted by utilizing the so-called semi-energy method. In this method, the Von-Karman's compatibility equation governing the behavior of isotropic flat plates is used together with a consideration of the total strain energy of the plate. Through the solution of the compatibility equation, the in-plane displacement functions which are themselves related to the Airy stress function are developed in terms of the unknown coefficient in the assumed out-of-plane deflection function. These in-plane and out-of-plane deflected functions are then substituted in the total strain energy expressions and the theorem of minimum total potential energy is applied to solve for the unknown coefficient. The developed method is subsequently applied to analyze the initial postbuckling behavior of some representative thin flat plates for which the results are also obtained through the application of a semi-analytical finite strip method. Through the comparison of the results and the appropriate discussion, the knowledge of the level of capability of the developed method is significantly promoted.

불균형 휨모멘트를 받는 플랫플레이트-기둥 접합부의 편심전단강도 (Strength Model for Eccentric Shear of Flat Plate-Column Connections under Unbalanced Moment)

  • 최경규;박홍근
    • 콘크리트학회논문집
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    • 제16권2호
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    • pp.229-240
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    • 2004
  • 불균형 휨모멘트를 재하받는 플랫플레이트-기둥 접합부의 편심전단강도와 모멘트강도를 규명하기 위해 그동안 많은 실험연구가 수행되어 왔다. 기존 실험들은 서로 다른 실험방식을 사용하고 있는데, 접합부의 전단강도는 실험방식에 따라 차이가 있는 것으로 나타났다. 따라서 기존 실험에 근거하여 개발된 현행 설계기준들은 플랫플레이트의 강도를 정확히 설명하고 있지 못한 실정이다. 선행 연구에서는 연속 플랫플레이트에 대한 비선형 유한요소해석에 근거하여, 슬래브-기둥 접합부에 패한 새로운 설계방법을 개발하였다. 그러나 제안된 설계방법에서는 휨모멘트 강도산정에 필요한 접합부 편심강도를 경험식에 의존하여 산정하고 있다. 본 연구에서는, 접합부 파괴 메카니즘을 분석하기 위해서, Rankine 재료파괴기준을 이용하는 이론적인 접근법을 채택하였다. 분석결과에 근거하여 개선된 편심전단강도모델이 개발되었고, 기존 실험과의 비교를 통해 검증되었다. 개발된 강도식을 이용하여, 선행연구에서 개발된 설계방법을 재검증하였다.

압전지능구조물의 최적설계를 위한 민감도 해석 (Sensitivity analysis for optimal design of piezoelectric structures)

  • 김재환
    • 소음진동
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    • 제8권2호
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    • pp.267-273
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    • 1998
  • This study aims at performing sensitivity analysis of piezoelectric smart structure for minimizing radiated noise from the structure, The structure consists of a flat plate on which disk shaped piezoelectric actuator is mounted, and finite element modeling is used for the structure. The finite element modeling uses a combination of three dimensional piezoelectric, flat shell and transition elements so thus it can take into account the coupling effects of the piezoelectric device precisely and it can also reduce the degrees of freedom of the finite element model. Electric potential on the piezoelectric actuator is taken as a design variable and total radiated power of the structure is chosen as an objective function. The objective function can be represented as Rayleigh's integral equation and is a function of normal displacements of the structure. For the convenience of computation, all degrees of freedom of the finite element equation is condensed out except the normal displacements of the structure. To perform the design sensitivity analysis, the derivative of the objective function with respect to the normal displacements is found, and the derivative of the norma displacements with respect to the design variable is calculated from the finite element equation by using so called the adjoint variable method. The analysis results are compared with those of the finite difference method, and shows a good agreement. This sensitivity analysis is faster and more accurate than the finite difference method. Once the sensitivity analysis program is used for gradient-based optimizations, one could achieve a better convergence rate than non-derivative methods for optimal design of piezoelectric smart structures.

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면내 압축력 및 면외 바닥하중을 받는 플랫 플레이트 슬래브 (RC Flat Plate Subject to Combined In-Plane Compressive and Out-of-Plane Floor Loads)

  • 박홍근
    • 콘크리트학회지
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    • 제11권1호
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    • pp.231-242
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    • 1999
  • 면외 바닥하중과 토압과 수압에 의한 면내 압축력을 받는, 깊은 지하구조에 사용되는 플랫플레이트 슬래브에 대한 수치해석연구를 실시하였다. 비선형 유한요서해석을 위하여 재료와 기하학적 비선형효과를 고려한 수치해석프로그램을 개발하였으며, 이 수치해석방법은 4 변이 단순지지된 플레이트에 대한 실험결과와 비교에 의하여 검증되었다. 해석모델로서 국내 콘크리트계산규준의 직접설계법에 의하여 설계된 플랫플레이트 슬래브가 사용되었다. 하중조합과 하중순서에 대한 연구를 통하여 플랫플레이트 슬래브의 강도를 지배하는 하중조건을 연구하였으며, 이 지배하중을 받는 슬래브에 대한 변수연구를 통하여 철근비, 형상비, 콘크리트강도, 세장비에 따를 슬래브의 강도변화를 연구하였다. 이 연구결과를 바탕으로 바닥하중증대법을 제시하였다.

플랫플레이트 구조물의 효율적인 해석을 위한 수퍼요소의 활용 (Use of Super Elements for Efficient Analysis of Flat Plate Structures)

  • 김현수;이승재;이동근
    • 한국전산구조공학회논문집
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    • 제16권4호
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    • pp.439-450
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    • 2003
  • 근래에 들어서 경제적 및 계획적인 요구에 의하여 충고를 줄일 수 있는 이점을 가진 플랫플레이트 구조물이 많이 건설되고 있다. 구조기술자들은 실무에서 플랫플레이트 구조물을 해석하기 위하여 일반적으로 유효보폭모델을 사용한다. 그러나 유효보폭 모델을 적용하기가 어려운 경우에는 유한요소법을 사용할 필요가 있으며, 이때 바닥판의 정확한 거동을 예측하기 위해서는 세분한 유한요소 모델을 사용하는 것이 필요하다. 전체 구조물을 수많은 유한요소로 세분하여 모형화하면 막대한 해석시간과 컴퓨터 메모리가 필요하게 된다. 따라서 본 연구에서는 상당히 정확한 해석결과를 쉽게 얻을 수 있는 효율적인 해석기법을 제안한다. 제안된 해석기법은 행렬응축기법을 통하여 생성된 수퍼요소를 사용하며 수퍼요소 경계부분의 변형적합조건을 만족시키기 위하여 수퍼요소를 개발할 때 가상보를 도입한다. 본 연구에서는 슬래브의 탄성계수를 감소시킴으로서 유효보폭모델에서 사용되고 있는 강성저감을 고려하였다. 수많은 요소론 사용한 유한요소모델 및 유효보폭모델을 사용하여 여러 가지의 예제구조물에 대하여 정적해석과 동적해석을 수행하고 본 연구에서 제안된 해석방법에 의한 결과와 비교함으로써 제안된 방법의 효율성과 정확성을 검증하였다.

적응적 유한요소를 이용한 박스형 구조물의 좌굴해석 (Buckling Analysis of Box-typed Structures using Adaptive Finite Elements)

  • 송명관;김선훈
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2007년도 정기 학술대회 논문집
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    • pp.271-274
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    • 2007
  • The finite element linear buckling analysis of folded plate structures using adaptive h-refinement methods is presented in this paper. The variable-node flat shell element used in this study possesses the drilling D.O.F. which, in addition to improvement of the element behavior, permits an easy connection to other elements with six degrees of freedom per node. The Box-typed structures can be analyzed using these developed flat shell elements. By introducing the variable node elements some difficulties associated with connecting the different layer patterns, which are common in the adaptive h-refinement on quadrilateral mesh, can be overcome. To obtain better stress field for the error estimation, the super-convergent patch recovery is used. The convergent buckling modes and the critical loads associated with these modes can be obtained.

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Impact response of a novel flat steel-concrete-corrugated steel panel

  • Lu, Jingyi;Wang, Yonghui;Zhai, Ximei;Zhou, Hongyuan
    • Steel and Composite Structures
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    • 제42권2호
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    • pp.277-288
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    • 2022
  • A novel flat steel plate-concrete-corrugated steel plate (FS-C-CS) sandwich panel was proposed for resisting impact load. The failure mode, impact force and displacement response of the FS-C-CS panel under impact loading were studied via drop-weight impact tests. The combined global flexure and local indentation deformation mode of the FS-C-CS panel was observed, and three stages of impact process were identified. Moreover, the effects of corrugated plate height and steel plate thickness on the impact responses of the FS-C-CS panels were quantitatively analysed, and the impact resistant performance of the FS-C-CS panel was found to be generally improved on increasing corrugated plate height and thickness in terms of smaller deformation as well as larger impact force and post-peak mean force. The Finite Element (FE) model of the FS-C-CS panel under impact loading was established to predict its dynamic response and further reveal its failure mode and impact energy dissipation mechanism. The numerical results indicated that the concrete core and corrugated steel plate dissipated the majority of impact energy. In addition, employing end plates and high strength bolts as shear connectors could prevent the slip between steel plates and concrete core and assure the full composite action of the FS-C-CS panel.

바닥하중과 압축력을 받는 플랫 플레이트의 장기거동에 대한 해석적 연구 (Numerical Study on Long-term Behavior of Flat Plate Subjected to In-Plane Compressive and Transverse Loads)

  • 최경규;박홍근
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2000년도 봄 학술발표회 논문집
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    • pp.611-616
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    • 2000
  • Numerical studies were carried out to investigate the long-term behavior of late plates in basement, subjected to combined in-plane compressive and transverse loads. For the numerical studies, a computer program of nonlinear finite element analysis was modified by adding function of creep and shrinkage analysis. This numerical method was verified by comparison with the existing experiments. Parametric studies were performed to investigate the strength variations of flat plates with three parameters; 1) loading sequence of floor load, compression and time 2) uniaxial an biaxial compression and 3) the ratio of dead to live load.

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복합재료 평판과 압전필름 작동기를 이용한 저음용 평판 스피커 설계 (Design of Loudspeaker using Composite Plate and Piezofilm Actuator)

  • 황준석;김승조
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 1999년도 추계학술발표대회 논문집
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    • pp.124-129
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    • 1999
  • In this study, a design method for the flat sound radiator is developed to make new sound radiator system, whose shape is much thinner than that of conventional loudspeaker. Piezofilm (PVDF) is used as actuators of flat sound radiator. To avoid the distortion of sound radiated from flat sound radiator, the frequency response of radiated sound to be flat is taken as the design objective. The electrode pattern and orientation angle of piezofilm actuator is optimized to satisfy the design objective. The formulation is based on the coupled finite element and boundary element method. Genetic algorithm is used in the optimization process, which is useful in the optimization of discrete design variables. Frequency response with optimized piezofilm actuator is made flat enough to satify the design objective. For the enhancement of sound power, double-layered piezofilm actuators are also considered. The sound power with double-layered actuator becomes larger than that with single-layered actuator as expected.

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미소평판 주위의 저속 유동장 해석 (Numerical Simulation of Low-Speed Gas Flows Around a Micro-Plate)

  • 정찬홍
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2004년도 춘계 학술대회논문집
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    • pp.106-112
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    • 2004
  • A kinetic theory analysis is made of low-speed gas flows around a micro-plate. The Boltzmann equation simplified by a collision model is solved by means of a finite difference approximation with the discrete ordinate method. The method does not suffer from statistical noise which is common in particle based methods and requires much less amount of computational effort. Calculations are made for flows around a micro-scale flat plate with a finite length of 20 microns. The method is assessed by comparing the results with those from several different methods and available experimental data.

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