• Title/Summary/Keyword: 유한요소이론

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Finite Element Analysis for Vibration of Laminated Plate Using a Consistent Discrete Theory Part I : Variational Principles (복합재료적층판의 진동해석을 위한 유한요소모델 I. 변분원리의 유도)

  • 홍순조
    • Computational Structural Engineering
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    • v.7 no.4
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    • pp.85-101
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    • 1994
  • A family of variational principles governing the dynamics of laminated plate has been derived using a variationally consistent shear deformable discrete laminated plate theory with particular reference to finite element procedures. The theoretical basis for the derivation is Sandhu's generalized procedure for the variational formulation of linear coupled boundary value problem. As the bilinear mapping to write the operator matrix of the field equations in self-adjoint form, convolution product was employed. Boundary conditions, initial conditions and probable internal discontinuity were explicitly included in the governing functionals. Some interesting extensions and specializations of the general variational principle were presented, which can provide many different finite element formulations for the problem.

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Analysis of Sound Attenuation by Chambers in Duct Systems by the Finite Element Method (유한요소법에 의한 소음기의 감음특성해석)

  • 최석주
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1991.04a
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    • pp.23-27
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    • 1991
  • 각종 홀 (음악홀, 극장, 사무실건물)의 공조 덕트계에는 미로형소음챔버가 설 치되는 경우가 많다. 이러한 소음장치를 건물내부에 설치하는 경우에는 건물 설계단계에서부터 소음챔버로 인한 감음양(투과손실 : Transmission Loss)의 예측계산이 중요하다. 그렇지만, 일반적인 소음장치는 그 형상이나 내표면의 흡음조건이 아주 복잡하기 때문에, 현단계에서는 간단한 이론만으로 투과손 실예측이 거의 불가능하다. 지금까지 이 문제에 대해서 유한요소법(Finite Element Method : FEM)을 이용해 검토한 예가 종종 소개되었으나, 대부분 소음챔버의 입구와 출구에서의 임의의 점에 대한 음압비를 투과손실로서 구 하고 있다. 그러나, 소음기자체의 실질적인 투과손실특성을 알기 위해서는 소음기의 입력 파워에 대한 출력파워의 비로서 구하지 않으면 안된다. 따라 서, 본 연구에서는 유한요소법에 의한 복소음향인텐시티(Complex sound intensity)의 수치계산법을 각종소음기 (팽창형, 미로형)의 투과손실해석에 적 용하기 위하여 이론적인 면에서 고찰했으며, 프로그램도 개발하여 모델해석 에 적용하였다. 또한, 위에서 언급된 수치해석법의 타당성의 검증을 위하여, 측정에 의한 투과손실예측방법으로서 크로스스펙트럼(Cross Spectrum)법에 의한 음향인텐시티계측법의 이용에 대해서 이론적으로 고찰했으며, 그 이론 을 기초로 한 축척 모형실험을 병행하였다.

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Finite Element Analysis for the Penetration Phenomena of Shaped Charge Jets using Hydrodynamic Theory (Hydrodynamic 이론을 이용한 성형작약탄두 제트의 관통 현상에 관한 유한요소 해석)

  • Kang, Youngku
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.32 no.2
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    • pp.133-140
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    • 2019
  • In this paper, the penetration process of Shaped charge jet(SCJ) was simulated through finite element analysis to obtain physical quantities such as jet incidence velocity, penetration rate, and penetration increment. As a result of applying these physical quantities to the hydrodynamic theory, it was confirmed that the penetration efficiency of the jet with a high incident velocity is higher than that of the following slow jet. This efficiency decreased sharply when the jet was slower than the hydrodynamic limit(HL). On the other hand, the comparison of penetration increment and jet consumption over time showed that the length extension effect should be considered for SCJ's theoretical penetration analysis.

Mesh Generation Methodology for FE Analysis of 3D Structures Using Fuzzy Knowledge and Bubble Method (피지이론과 버블기법을 이용한 3차원 구조물의 유한요소해석을 위한 요소생성기법)

  • Lee, Joon-Seong;Lee, Eun-Chul
    • Journal of the Korean Institute of Intelligent Systems
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    • v.19 no.2
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    • pp.230-235
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    • 2009
  • This paper describes an automatic finite element mesh generation for finite element analysis of three-dimensional structures. It is consisting of fuzzy knowledge processing, bubble meshing and solid geometry modeler. This novel mesh generation process consists of three subprocesses: (a) definition of geometric model, i.e. analysis model, (b) generation of bubbles, and (c) generation of elements. One of commercial solid modelers is employed for three-dimensional solid structures. Bubble is generated if its distance from existing bubble points is similar to the bubble spacing function at the point. The bubble spacing function is well controlled by the fuzzy knowledge processing. The Delaunay method is introduced as a basic tool for element generation. Automatic generation of finite element for three-dimensional solid structures holds great benefits for analyses. Practical performances of the present system are demonstrated through several mesh generations for 3D geometry.

서지탱크의 최적설계

  • 지상현;김민수
    • Journal of the KSME
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    • v.31 no.1
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    • pp.34-42
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    • 1991
  • 복잡한 형상의 서지 탱크를 CAEDS의 GEOMOD를 이용하여 내부의 리보까지 포함한 용기를 모델링하였으며, 설계 부피를 검사하고 GEOMOD와 GFEM 사이의 직접 데이터 교환을 통하여 구조 해석에 필요한 유한요소를 만들었다. 유한요소법에 최적화 이론을 적용하여 서지탱크의 두께 변화에 따른 응력의 설계 민감도를 구하였으며, 민감도를 근거로 보강 위치 및 국부적인 용기의 두께를 결정하였다. 유한요소법 프로그램(IFES, GFEM)과 솔리드 모델러(GEOMOD), 그리고 최적화 기법(IFES-Optimization)을 모두 통합하여, 최적 설계를 수행함으로써 반복되는 실험에 의한 시간과 경비를 줄임과 동시에 신뢰성 있는 설계방법 및 방향을 제시하였다.

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A Performance Evaluation of Beam Finite Elements with Higher-order Derivatives' Continuity (고차미분 연속성을 가지는 유한요소 보 모델들에 대한 성능평가)

  • Lee, Gijun;Kim, Jun-Sik
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.30 no.4
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    • pp.335-341
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    • 2017
  • In this paper, beam finite elements with higher-order derivatives' continuity are formulated and evaluated for various boundary conditions. All the beam elements are based on Euler-Bernoulli beam theory. These higher-order beam elements are often required to analyze structures by using newly developed higher-order beam theories and/or non-classical beam theories based on nonlocal elasticity. It is however rare to assess the performance of such elements in terms of boundary and loading conditions. To this end, two higher-order beam elements are formulated, in which $C^2$ and $C^3$ continuities of the deflection are enforced, respectively. Three different boundary conditions are then applied to solve beam structures, such as cantilever, simply-support and clamped-hinge conditions. In addition to conventional Euler-Bernoulli beam boundary conditions, the effect of higher-order boundary conditions is investigated. Depending on the boundary conditions, the oscillatory behavior of deflections is observed. Especially the geometric boundary conditions are problematic, which trigger unstable solutions when higher-order deflections are prescribed. It is expected that the results obtained herein serve as a guideline for higher-order derivatives' continuous finite elements.

Stress Distribution of a Crane Hook by Photoelasticty Using 4-step Phase Shifting Method and finite Element Method (광탄성 4단계 위상 이동법과 유한요소법에 의한 크레인 훅의 응력분포 비교)

  • Baek, Tae-Hyun;Kim, Whan;Lee, Chun-Tae
    • Journal of the Korean Society for Nondestructive Testing
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    • v.24 no.1
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    • pp.38-44
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    • 2004
  • An experimental study for a crane hook was performed to investigate the stress distribution along a certain line where the maximum and minimum stresses to be developed. On this line, the isoclinic fringe and/or principal stress direction is constant. The crane hook was modeled into a 2-dimensional plate made of urethane rubber called 'Photoflex' The Photoflex is very sensitive to a load and has low photoelastic fringe constant. The Tardy compensation method with the fringe sharpening process and the 4-step phase shifting method, was used for the photoelastic technique. Experimental results by photoelasticity were compared with the calculated stresses from the simple curved beam theory and tile finite element analysis. Ail the results were close to each other.

Finite-EIement Analysis with Localized Functional for Alternating Magnetic Field Problems (국부범함수를 사용한 교류자장 문제의 유한요소 해석)

  • 김원범;정현교;고창섭;한송엽
    • Journal of the Korean Magnetics Society
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    • v.1 no.2
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    • pp.79-84
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    • 1991
  • A variational approach employing localized functional is presented to solve alternating magnetic field problems with open boundary. The functional used in the approach consists of the domain integral of finite element region only and the boundary integral of the interfacial boundary between the finite and infinite element regions. The boundary integral is obtained by transforming the infinite domain integral for the infinite element region into the interfacial boundary integral. The proposed algorithm is then applied to a simple two-dimensional problem where the analytic solutions are available. It is shown that the algorithm makes it possible to yield good agreements between the numerical and analytic solutions. and that it requires less computer storage memory and computation time than the conventional finite element method due to the reduction of the computing region.

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Nonlinear Finite Element Analysis of Reinforced Concrete Column using Timoshenko Beam Theory and Fiber Section Model (Timoshenko보 이론 및 층상화 단면모델을 이용한 RC 기둥의 비선형 유한요소해석)

  • Park, Soon Eung;Park, Moon Ho;Kwon, Min Ho
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.26 no.4A
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    • pp.577-585
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    • 2006
  • In this research, nonlinear Timoshenko beam element that is able to capture nonlinear shear deformation is developed. The proposed model shows more reasonable prediction than Bernoulli beam theory in short columns or strong shear column due to the consideration of shear deformation. The cross-section is modeled as fiber approach. Since the model is based on the fiber approach for section discretization, the plastic progress of the section can be traced and the coupling effect of the axial and flexural response. The developed element is implemented into the finite element program to analysis general reinforced concrete structures. As parametric study, reinforced concrete columns are analyzed and compared with experimental results, analyzed the property of behavior for reinforced concrete columns.

A Study on the Modeling of a Passenger Car Cavity with consideration of Trunk Coupling Effect (트렁크 연성 효과를 고려한 차실 음향 모델링에 관한 연구)

  • 강상욱;이장무;김석현
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1994.10a
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    • pp.300-305
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    • 1994
  • 차실 음향 공동의 특성을 유한요소법에 의해 해석하고자 할 때, 과거에는 차실 음향공동과 트렁크 음향공동과의 상호연성을 고려하지 않고, 두 공동의 경계면을 강체 경계조건으로 생각하여 해석 대상 모델을 차실 음향 공동만으로 국한시켰다. 이러한 해석 방법을 통해서는, 차실과 트렁크 공동이 완전히 밀폐되어 있지 않고 단지 뒷좌석에 의해 두 공동이 구별되어지는 차종에 대해서는 실험과 근접하는 유한요소해석 결과를 얻을 수 없다. 그러므로 차실 공동과 트렁크 공동의 경계면을 가상의 탄성벽 경계조건으로 생각하여 그 탄성벽을 통한 두 공동의 상호 연성을 고려하는 유한요소 모델을 구현하여야 한다. 실제로 트렁크가 차실에 미치는 연성효과를 고려하여 유한요소해석을 수행할 경우 차실의 고유진동수와 고유모드에 미치는 영향이 상당히 큰 것을 확인할 수 있었다. 이하 본 내용에서는 차실과 트렁크 공동, 그 사이의 탄성벽을 이론적으로 해석 가능한 1차원으로 모델링하여 실험 결과와 근접하는 3차원 유한요소 모델링 기법을 제시한다.

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