• Title/Summary/Keyword: finite elements method (FEM)

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On The Parallel Inplementation of a Static/Explicit FEM Program for Sheet Metal Forming (판금형 해석을 위한 정적/외연적 유한요소 프로그램의 병령화에 관한 연구)

  • ;;G.P.Nikishikov
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1995.10a
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    • pp.625-628
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    • 1995
  • A static/implicit finite element code for sheet forming (ITAS3D) is parallelized on IBM SP 6000 multi-processor computer. Computing-load-balanced domain decomposition method and the direct solution method at each subdomain (and interface) equation are developed. The system of equations for each subdomain are constructed by condensation and calculated on each processor. Approximated operation counts are calculated to set up the nonlinear equation system for balancing the compute load on each subdomain. Th esquare cup tests with several numbers of elements are used in demonstrating the performance of this parallel implementation. This procedure are proved to be efficient for moderate number of processors, especially for large number of elements.

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서브모델링과 응력선형화를 이용한 압력용기의 안전성 평가

  • Choe, Jae-Hun;Kim, Jun-Yeong
    • Proceeding of EDISON Challenge
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    • 2015.03a
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    • pp.234-238
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    • 2015
  • When we use a Finite Elements Method (FEM) to solve a linear static analysis problem, number of elements need to be sufficiently small for convergence of the solution. If we analysis a part, whose curvature is varying heavily, we face to determine how small the elements size is, because the calculated stress is increased as the elements are smaller. In this case, we need to analysis with mesh insensitive method, stress linearization. We can get a solution that is not varying with the elements size if the size is smaller than a certain level. In this paper, we evaluate a pressure vessel having geometrical discontinuities using stress linearization. First, we analysis the vessel with global model, including all part of the vessel, using large shell elements. Second, we analysis the local part of the vessel, which is the small part occurring maximum stress, using small continuum elements. Last, we evaluate the safety of the pressure vessel according to the ASME Sec. VIII Div 2.

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Dynamically Adaptive Finite Element Mesh Generation Schemes

  • Yoon, Chong-Yul;Park, Joon-Seok
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.23 no.6
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    • pp.659-665
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    • 2010
  • The finite element method(FEM) is proven to be an effective approximate method of structural analysis if proper element types and meshes are chosen, and recently, the method is often applied to solve complex dynamic and nonlinear problems. A properly chosen element type and mesh yields reliable results for dynamic finite element structural analysis. However, dynamic behavior of a structure may include unpredictably large strains in some parts of the structure, and using the initial mesh throughout the duration of a dynamic analysis may include some elements to go through strains beyond the elements' reliable limits. Thus, the finite element mesh for a dynamic analysis must be dynamically adaptive, and considering the rapid process of analysis in real time, the dynamically adaptive finite element mesh generating schemes must be computationally efficient. In this paper, a computationally efficient dynamically adaptive finite element mesh generation scheme for dynamic analyses of structures is described. The concept of representative strain value is used for error estimates and the refinements of meshes use combinations of the h-method(node movement) and the r-method(element division). The shape coefficient for element mesh is used to correct overly distorted elements. The validity of the scheme is shown through a cantilever beam example under a concentrated load with varying values. The example shows reasonable accuracy and efficient computing time. Furthermore, the study shows the potential for the scheme's effective use in complex structural dynamic problems such as those under seismic or erratic wind loads.

Algorithm of solving the problem of small elastoplastic deformation of fiber composites by FEM

  • Polatov, Askhad M.;Khaldjigitov, Abduvali A.;Ikramov, Akhmat M.
    • Advances in Computational Design
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    • v.5 no.3
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    • pp.305-321
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    • 2020
  • In this paper is presented the solution method for three-dimensional problem of transversely isotropic body's elastoplastic deformation by the finite element method (FEM). The process of problem solution consists of: determining the effective parameters of a transversely isotropic medium; construction of the finite element mesh of the body configuration, including the determination of the local minimum value of the tape width of non-zero coefficients of equation systems by using of front method; constructing of the stiffness matrix coefficients and load vector node components of the equation for an individual finite element's state according to the theory of small elastoplastic deformations for a transversely isotropic medium; the formation of a resolving symmetric-tape system of equations by summing of all state equations coefficients summing of all finite elements; solution of the system of symmetric-tape equations systems by means of the square root method; calculation of the body's elastoplastic stress-strain state by performing the iterative process of the initial stress method. For each problem solution stage, effective computational algorithms have been developed that reduce computational operations number by modifying existing solution methods and taking into account the matrix coefficients structure. As an example it is given, the problem solution of fibrous composite straining in the form of a rectangle with a system of circular holes.

Buckling of symmetrically laminated quasi-isotropic thin rectangular plates

  • Altunsaray, Erkin;Bayer, Ismail
    • Steel and Composite Structures
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    • v.17 no.3
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    • pp.305-320
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    • 2014
  • The lowest critical value of the compressive force acting in the plane of symmetrically laminated quasi-isotropic thin rectangular plates is investigated. The critical buckling loads of plates with different types of lamination and aspect ratios are parametrically calculated. Finite Differences Method (FDM) and Galerkin Method are used to solve the governing differential equation for Classical Laminated Plate Theory (CLPT). The results calculated are compared with those obtained by the software ANSYS employing Finite Elements Method (FEM). The results of Galerkin Method (GM) are closer to FEM results than those of FDM. In this study, the primary aim is to conduct a parametrical performance analysis of proper plates that is typically conducted at preliminary structural design stage of composite vessels. Non-dimensional values of critical buckling loads are also provided for practical use for designers.

The Dynamic Characteristics of Bolt Jointed Plates using the Finite Element Method (FEM) (FEM에 의한 볼트 결합 판재의 동특성 해석)

  • 홍상준;김윤영;이동진;이석원;유정훈
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2004.05a
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    • pp.645-650
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    • 2004
  • There have been lots of efforts to analyze the dynamic characteristics of mechanical systems. However, it is difficult to know the dynamic characteristics of mechanical systems composed of many parts with joints. Specially, in case of a bolted joint structure, no effective modeling method has been defined to acquire dynamic characteristics of the structure, using the finite element (FE) analysis. In this research, a linear dynamic model is developed for bolted joints and large interfaces using con frusta method and linear spring elements, respectively. The developed modeling method for bolted joints is verified based on the experimental result.

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Numerical Computation of Dynamic Stress Intensity Factors Based on the Equations of Motion in Convolution Integral (시간적분형 운동방정식을 바탕으로 한 동적 응력확대계수의 계산)

  • Sim, U-Jin;Lee, Seong-Hui
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.5
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    • pp.904-913
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    • 2002
  • In this paper, the dynamic stress intensity factors of fracture mechanics are numerically computed in time domain using the FEM. For which the finite element formulations are derived applying the Galerkin method to the equations of motion in convolution integral as has been presented in the previous paper. To assure the strain fields of r$^{-1}$ 2/ singularity near the crack tip, the triangular quarter-point singular elements are imbedded in the finite element mesh discretized by the isoparametric quadratic quadrilateral elements. Two-dimensional problems of the elastodynamic fracture mechanics under the impact load are solved and compared with the existing numerical and analytical solutions, being shown that numerical results of good accuracy are obtained by the presented method.

역설계 및 FEM을 통한 셀카봉과 삼각대를 겸한 재설계

  • Im, Chae-Hyeon;Kim, Jin-Hyeon
    • CDE review
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    • v.21 no.2
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    • pp.27-30
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    • 2015
  • Smartphone users are 15 billion in all round the world, and Korean smartphone users are estimated at 40million people to 83% of the Korean population. Selfie stick is most popular item among 20, 30's age users. And they use smartphones more than 90%. In survey they express inconvenience of using selfie stick. Inconveniences are as follows. * Heavy * Handle is inconvenient. * Mistiming during taking pictures * the range of shooting is not enough. In this paper the first improvement was that rod strength is slightly stronger. The second we divide a grip into 3 parts. If 3 parts are unfolded, these can use for tripod. We use deflection Interpretation for main Finite Elements Method program.

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Vibration Characteristics of the Fruit and Vegetables during Transportation (II) -Vibration Characteristics of the Fruit and Vegetables using FEM- (유통중 청과물의 진동 특성 연구 (II) -유한요소법을 이용한 청과물의 진동특성-)

  • Kim, Man-Soo;Jung, Hyun-Mo;Kim, Ghi-Seok;Park, Chung-Gil
    • Korean Journal of Agricultural Science
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    • v.30 no.2
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    • pp.184-190
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    • 2003
  • Finite element method(FEM) was used to obtain an approximate solution, since the mathematical formulations for the problem are complex and cannot be solved analytically. In this study, the fruit as well as the aluminum support on vibrator are discretized into small elements, and the approximate functions are used to describe the displacements in each element in terms of nodal values, and because of the complexity of the problem of viscoelastic materials such as the fruit and vegetables, it was necessary to validate the modeling approach before pear simulations were performed, and the finite element modeling approach was first validated by comparing the results obtained from simulation and experiment for the pear in the frequency range 3 to 150 Hz and acceleration level of 0.25 G-rms. Based on the relatively good agreement between simulated and measured frequencies for the pear, finite element models of tomato and oriental melon were created to study the vibration characteristics of the fruit and vegetables. The resonance frequencies of the pear, tomato and oriental melon using FEM were 62.50, 39.45 and 62.73 Hz and the peak accelerations of them using FEM were 2.21, 1.38 and 1.98 G-rms.

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Shape sensing with inverse finite element method for slender structures

  • Savino, Pierclaudio;Gherlone, Marco;Tondolo, Francesco
    • Structural Engineering and Mechanics
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    • v.72 no.2
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    • pp.217-227
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    • 2019
  • The methodology known as "shape sensing" allows the reconstruction of the displacement field of a structure starting from strain measurements, with considerable implications for structural monitoring, as well as for the control and implementation of smart structures. An approach to shape sensing is based on the inverse Finite Element Method (iFEM) that uses a variational principle enforcing a least-squares compatibility between measured and analytical strain measures. The structural response is reconstructed without the knowledge of the mechanical properties and load conditions but based only on the relationship between displacements and strains. In order to efficiently apply iFEM to the most common structural typologies of civil engineering, its formulation according to the kinematical assumptions of the Bernoulli-Euler theory is presented. Two beam inverse finite elements are formulated for different loading conditions. Depending on the type of element, the relationship between the minimum number of required measurement stations and the interpolation order is defined. Several examples representing common applications of civil engineering and involving beams and frames are presented. To simulate the experimental strain data at the station points and to verify the accuracy of the displacements obtained with the iFEM shape sensing procedure, a direct FEM analysis of the considered structures is performed using the LUSAS software.