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Nonlinear bending analysis of laminated composite stiffened plates

  • Patel, Shuvendu N.
    • Steel and Composite Structures
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    • v.17 no.6
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    • pp.867-890
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    • 2014
  • This paper deals with the geometric nonlinear bending analysis of laminated composite stiffened plates subjected to uniform transverse loading. The eight-noded degenerated shell element and three-noded degenerated curved beam element with five degrees of freedom per node are adopted in the present analysis to model the plate and stiffeners respectively. The Green-Lagrange strain displacement relationship is adopted and the total Lagrangian approach is taken in the formulation. The convergence study of the present formulation is carried out first and the results are compared with the results published in the literature. The stiffener element is reformulated taking the torsional rigidity in an efficient manner. The effects of lamination angle, depth of stiffener and number of layers, on the bending response of the composite stiffened plates are considered and the results are discussed.

Three-Dimensional Poroelastic and Failure Analysis of Composites Using Multislice Finite Element Models (분층형 유한요소 모델을 이용한 복합재료의 삼차원 기공 탄성 및 파손 해석)

  • Yang, Dae Gyu;Lim, Soyoung;Shin, Eui Sup
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.45 no.2
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    • pp.92-98
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    • 2017
  • Porosity in polymer matrix composites generated during pyrolysis process affect the thermomechanical behavior of the composites. In this paper, multislice finite element models for the porous composite materials are developed, and poroelastic and failure analysis for these models are performed. In order to investigate the three-dimensional effects, finite element meshes are modeled considering different porosity(up to 0.5) and the number of slices (up to five). As a result, effective Young's moduli and poroelastic parameters exhibit the maximum differences of 74.0% and 442.1% with respect to porosity respectively, and 98.7% and 37.2% with respect to the number of slices. First and last failure strengths are decreased 88.2% and 90.0% with respect to porosity respectively, and 53.8% and 171.8% with respect to the number of slices.

Dynamics of an Axially Moving Timoshenko Beam (축 방향으로 이동하는 티모센코보의 동특성 해석)

  • Kim, Joo-Hong;Oh, Hyung-Mi;Lee, U-Sik
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.11b
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    • pp.1066-1071
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    • 2002
  • The use of frequency-dependent spectral element matrix (or exact dynamic stiffness matrix) in structural dynamics is known to provide very accurate solutions, while reducing the number of degrees-of-freedom to resolve the computational and cost problems. Thus, in the present paper, the spectral element model is formulated for the axially moving Timoshenko beam under a uniform axial tension. The high accuracy of the present spectral element is then verified by comparing its solutions with the conventional finite element solutions and exact analytical solutions. The effects of the moving speed and axial tension on the vibration characteristics, the dispersion relation, and the stability of a moving Timoshenko beam are investigated, analytically and numerically.

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A Study on the Finite Element Analysis of Three Dimensional Plate Structures (3차원 공간 판구조물의 유한요소 해석에 관한 연구)

  • 권오영;남정길
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.35 no.1
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    • pp.54-59
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    • 1999
  • High-speed electronic digital computers have enabled engineers to employ various numerical discretization techniques for solutions of complex problems. The Finite Element Method is one of the such technique. The Finite Element Method is one of the numerical analysis based on the concepts of fundamental mathematical approximation. Three dimensional plate structures used often in partition of ship, box girder and frame are analyzed by Finite Element Method. In design of structures, the static deflections, stress concentrations and dynamic deflections must be considered. However, these problem belong to geometrically nonlinear mechanical structure analysis. The analysis of each element is independent, but coupling occurs in assembly process of elements. So, to overcome such a difficulty the shell theory which includes transformation matrix and a fictitious rotational stiffness is taken into account. Also, the Mindlin's theory which is considered the effect of shear deformation is used. The Mindlin's theory is based on assumption that the normal to the midsurface before deformation is "not necessarily normal to the midsurface after deformation", and is more powerful than Kirchoff's theory in thick plate analysis. To ensure that a small number of element can represent a relatively complex form of the type which is liable to occur in real, rather than in academic problem, eight-node quadratic isoparametric elements are used. are used.

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Exterior Acoustic Holography Reconstruction of a Tuning Fork Using Inverse Non-singular BEM

  • Jarng, Soon-Suck
    • The Journal of the Acoustical Society of Korea
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    • v.22 no.1E
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    • pp.11-18
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    • 2003
  • Non-singular boundary element method (BEM) codes are developed in acoustics application. The BEM code is then used to calculate unknown boundary surface normal displacements and surface pressures from known exterior near field pressures. And then the calculated surface normal displacements and surface pressures are again applied to the BEM in forward in order to calculate reconstructed field pressures. The initial exterior near field pressures are very well agreed with the later reconstructed field pressures. Only the same number of boundary surface nodes (1178) are used for the initial exterior pressures which are at first calculated by Finite Element Method (FEM) and BEM. Pseudo-inverse technique is, used for the calculation of the unknown boundary surface normal displacements. The structural object is a tuning fork with 128.4 ㎐ resonant. The boundary element is a quadratic hexahedral element (eight nodes per element).

Treatment of Numerical Integration for Boundary Element Method (경계요소법에 있어서 수치적분에 관한 고찰)

  • Park, Sung-Oan;Kwak, Chang-Sup;Koo, Young-Duk
    • Journal of the Korean Society for Precision Engineering
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    • v.13 no.2
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    • pp.185-193
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    • 1996
  • Errors included in solutions obtained by the boundary element method are generally larger than those by the finite element method in the case that the number of discreted elements is small. One of the reasons is supposed to be attributed to the error which will be produced in the numerical integration of the singular functions in two dimensional elastic problem. Then, treatment of analytical integration to reduce computing time and to decrease errors of boundary element method are proposed.

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Development of Finite Element Tire Model for Vehicle Dynamics Analysis (차량동역학 해석용 타이어 유한요소 모델 개발)

  • Jung, Sung Pil;Lee, Tae Hee;Kim, Gi Whan;Yun, So Joong
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2014.10a
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    • pp.858-861
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    • 2014
  • This paper presents a simplified finite element tire model for vehicle dynamics analysis. The classical finite element tire model was too big to simulate dynamic properties of the tire. In the simplified model, number of nodes of the tire model was dramatically reduced, and thus its simulation time was several times less than the classical model. Bead, carcass, belt which have an important role to the dynamic characteristics of tire were replaced by simple axis symmetric membrane elements. Also the rebar element was deleted. The tire model has been verified by comparing vertical stiffness data of the simulation model to the test data.

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Dynamics of an Axially Moving Bernoulli-Euler Beam : Variational Method-Based Spectral Element Modeling (변분법을 이용한 축방향으로 움직이는 보의 스펙트럴 요소 모델링)

  • Choi, Jung-Sik;Lee, U-Sik
    • Proceedings of the KSR Conference
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    • 2008.06a
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    • pp.831-834
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    • 2008
  • The spectral element model is known to provide very accurate structural dynamic characteristics, while reducing the number of degree-of-freedom to resolve the computational and cost problems. Thus, the spectral element model with variational method for an axially moving Bernoulli-Euler beam subjected to axial tension is developed in the present paper. The high accuracy of the spectral element model is the verified by comparing its solutions with the conventional finite element solutions and exact analytical solutions. The effects of the moving speed and axial tension the vibration characteristics, wave characteristics, and the static and dynamic stabilities of a moving beam are investigated.

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Spectral Element Modeling for the Axially Moving Strings (축방향으로 이동하는 현에 대한 스펙트럴 요소 모델링)

  • Choi, Jung-Sik;Lee, U-Sik
    • Proceedings of the KSR Conference
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    • 2009.05a
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    • pp.1092-1096
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    • 2009
  • The spectral element modeling is known to provide very accurate structural dynamic characteristics, while reducing the number of degree-of-freedom to resolve the computational and cost problems. Thus, the spectral element model with variational method for an axially moving string subjected to axial tension is developed in the present paper. The high accuracy of the spectral element model is the verified by comparing its solutions with the conventional finite element solutions and exact analytical solutions. The effects of the moving speed and axial tension the vibration characteristics, wave characteristics, and the static and dynamic stabilities of a moving string are investigated.

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Exterior Acoustic Holography Reconstruction of a Tuning Fork using Inverse Non-singular BEM (역 비고유치 BEM을 사용한 소리 굽쇠의 외부 음향 홀로그래픽 재현)

  • Jarng, Soon-Suck;Lee, Je-Hyeong
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.11b
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    • pp.306-311
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    • 2002
  • Non-singular boundary element method (BEM) codes are developed in acoustics application. The BEM code is then used to calculate unknown boundary surface normal displacements and surface pressures from known exterior near Held pressures. And then the calculated surface normal displacements and surface pressures are again applied to the BEM in forward in order to calculate reconstructed field pressures. The initial exterior near field pressures are very well agreed with the later reconstructed field pressures. Only the same number of boundary surface nodes (1178) are used far the initial exterior pressures which are initially calculated by Finite Element Method (FEM) and BEM. Pseudo-inverse technique is used for the calculation of the unknown boundary surface normal displacements. The structural object is a tuning fork with 128.4 Hz resonant. The boundary element is a quadratic hexahedral element (eight nodes per element).

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