• Title/Summary/Keyword: finite element methods

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Fatigue Life Prediction of Tire Belt Edge (타이어 벨트 끝단의 피로수명 예측)

  • 김재연;양영수;김기운
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2004.10a
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    • pp.954-957
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    • 2004
  • Tire belt durability is characterized by the initiation of a crack at the belt edge region, and the propagation of the crack until the ply is separated. Experimental methods have been used to analysis of the belt durability in the cord-reinforced rubber composite tires, but it takes much cost and time to make experiments. In this paper, a finite element method to analyze the fatigue life of a crack at the belt edge of tires is presented. The fatigue life is analyzed by using a three-dimensional Finite Element Modeling. This method includes a global-local finite element analysis to provide the detail necessary to model explicitly an internal crack and use of the J-integral for energy release rate evaluation.

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A Study on Structural reinforcement suggestions for improvement of Seismic Performance of Masonry Buildings in rural areas (농촌지역의 조적조 건축물의 내진성능 개선을 위한 구조적 보강법 제안에 관한 연구)

  • Lee, Deog-Yong;Kim, Il-Jung
    • Journal of the Korean Institute of Rural Architecture
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    • v.15 no.4
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    • pp.51-58
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    • 2013
  • This study Masonry Buildings in rural areas, due to the lateral load resistance for seismic reinforcement method is proposed. Some of the proposed methods for reinforcement directly through finite element analysis to evaluate the change in frequency. The results for the following: This paper has the object of investigating natural frequencies of opening thick plates on Pasternak foundation by means of finite element method and providing Kinematic design data for mat of building structures. In this paper, vibration analysis of rectangular opening thick plate is done by use of Serendipity finite element with 8 nodes by considering shearing strain of plate. It is shown that natrural frequencies depend on not only Winkler foundation parameter but also shear foundation parameter, opening position.

Finite element model updating of Canton Tower using regularization technique

  • Truong, Thanh Chung;Cho, Soojin;Yun, Chung Bang;Sohn, Hoon
    • Smart Structures and Systems
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    • v.10 no.4_5
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    • pp.459-470
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    • 2012
  • This paper summarizes a study for the modal analysis and model updating conducted using the monitoring data obtained from the Canton Tower of 610 m tall, which was established as an international benchmark problem by the Hong Kong Polytechnic University. Modal properties of the tower were successfully identified using frequency domain decomposition and stochastic subspace identification methods. Finite element model updating using the measurement data was further performed to reduce the modal property differences between the measurements and those of the finite element model. Over-fitting during the model updating was avoided by using an optimization scheme with a regularization term.

Finite Element-Based Fatigue Assessment of Engine Connecting-Rod Bolts (엔진 커넥팅 로드 볼트의 유한요소 피로 평가)

  • Cho, Sung-San;Chang, Hoon;Lee, Kyung-Woo
    • Transactions of the Korean Society of Automotive Engineers
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    • v.16 no.4
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    • pp.14-20
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    • 2008
  • Fatigue fracture of engine connecting-rod bolts is encountered frequently during the developement of high-speed engines. Only the engine dyno test is a currently reliable fatigue durability assessment method. It is because the available rig tests cannot mimic the engine running condition completely, and because the finite element analysis cannot provide realistic stresses near the bolt thread that is modeled as a cylinder. This paper introduces a methodology to assess the fatigue durability of the connecting-rod bolts using the finite element analysis. The methods to contruct the bolt model, to extract the critical bolt stresses for the fatigue analysis, and to obtain the bolt fatigue endurance limit experimentally are discussed. Reliability of the method is verified indirectly.

Eigenfunction expansion solution and finite element solution for orthotropic hollow cylinder under sinusoidal impact load

  • Wang, X.;Dai, H.L.
    • Structural Engineering and Mechanics
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    • v.16 no.1
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    • pp.35-46
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    • 2003
  • The histories and distributions of dynamic stresses in an orthotropic hollow cylinder under sinusoidal impact load are obtained by making use of eigenfunction expansion method in this paper. Dynamic equations for axially symmetric orthotropic problem are founded and results are carried out for a practical example in which an orthotropic hollow cylinder is in initially at rest and subjected to a dynamic interior pressure $p(t)=-{\sigma}_0(sin{\alpha}t+1)$. The features of the solution appear the propagation of the cylindrical waves. The other hand, a dynamic finite element solution for the same problem is also got by making use of structural software (ABAQUS) program. Comparing theoretical solution with finite element solution, it can be found that two kinds of results obtained by two different solving methods are suitably approached. Thus, it is further concluded that the method and computing process of the theoretical solution are effective and accurate.

The elastoplastic formulation of polygonal element method based on triangular finite meshes

  • Cai, Yong-Chang;Zhu, He-Hua;Guo, Sheng-Yong
    • Structural Engineering and Mechanics
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    • v.30 no.1
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    • pp.119-129
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    • 2008
  • A small strain and elastoplastic formulation of Polygonal Element Method (PEM) is developed for efficient analysis of elastoplastic solids. In this work, the polygonal elements are constructed based on traditional triangular finite meshes. The construction method of polygonal mesh can directly utilize the sophisticated triangularization algorithm and reduce the difficulty in generating polygonal elements. The Wachspress rational finite element basis function is used to construct the approximations of polygonal elements. The incremental variational form and a von Mises type model are used for non-linear elastoplastic analysis. Several small strain elastoplastic numerical examples are presented to verify the advantages and the accuracy of the numerical formulation.

OPTIMAL L2-ERROR ESTIMATES FOR EXPANDED MIXED FINITE ELEMENT METHODS OF SEMILINEAR SOBOLEV EQUATIONS

  • Ohm, Mi Ray;Lee, Hyun Young;Shin, Jun Yong
    • Journal of the Korean Mathematical Society
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    • v.51 no.3
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    • pp.545-565
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    • 2014
  • In this paper we derive a priori $L^{\infty}(L^2)$ error estimates for expanded mixed finite element formulations of semilinear Sobolev equations. This formulation expands the standard mixed formulation in the sense that three variables, the scalar unknown, the gradient and the flux are explicitly treated. Based on this method we construct finite element semidiscrete approximations and fully discrete approximations of the semilinear Sobolev equations. We prove the existence of semidiscrete approximations of u, $-{\nabla}u$ and $-{\nabla}u-{\nabla}u_t$ and obtain the optimal order error estimates in the $L^{\infty}(L^2)$ norm. And also we construct the fully discrete approximations and analyze the optimal convergence of the approximations in ${\ell}^{\infty}(L^2)$ norm. Finally we also provide the computational results.

A Combined Algorithm for the Solution of Nonlinear Finite Element Equations (비선형(非線型) 유한요소방정식(有限要素方程式)의 해법(解法)을 위한 조합(組合)알고리즘)

  • Ryu, Yeon Sun
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.6 no.3
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    • pp.11-20
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    • 1986
  • The purpose of this study is to devise an efficient and economic solution algorithm for the nonlinear finite element equations. First, procedures and characteristics of the solution methods of ordinary nonlinear equations are critically reviewed and discussed. Based on the discussion, some promising nonlinear finite element analysis procedures are presented as an algorithmic form. Finally, a conceptually combined algorithm for a solution of nonlinear finite element equations is proposed and analyzed, in which the computational effort is minimized and numerical difficulties can be avoided.

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Finite Element Analysis of Transient Viscous Flow with Free Surface using Filling Pattern Technique (형상 충전 기법을 이용한 자유표면의 비정상 점성 유동장의 유한 요소 해석)

  • Kim, Ki-Don;Jeong, Jun-Ho;Yang, Dong-Yol
    • Proceedings of the KSME Conference
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    • 2001.11b
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    • pp.551-556
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    • 2001
  • The filling pattern technique based on the finite element method and Eulerian mesh advancement approach has been developed to analyze incompressible transient viscous flow with free surfaces. The governing equation for flow analysis is Navier-Stokes equation including inertia and gravity effects. The penalty and predictor-corrector methods are used effectively for finite element formulation. The flow front surface and the volume inflow rate are calculated using the filling pattern technique to select an adequate pattern among four filling patterns at each triangular control volume. Using the proposed numerical technique, the collapse of a dam has been analyzed to predict flow phenomenon of fluid and the predicted front positions versus time have been compared with the reported experimental result.

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Finite Element Analysis of Flexural Composite Members Considering Early-Age Concrete Properties (콘크리트의 초기재령특성을 고려한 합성형 휨 부재의 유한요소 거동해석)

  • 강병수;주영태;신동훈;이용학
    • Proceedings of the Korea Concrete Institute Conference
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    • 2003.05a
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    • pp.463-468
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    • 2003
  • A finite element formulation to predict the flexural behavior of composite girder is presented in which the early-age properties of concrete are specified including maturing of elastic modulus, creep and shrinkage. The time dependent constitutive relation accounting for the early-age concrete properties is derived in an incremental format by expanding the total form of stress-strain relation by the first order Taylor series with respect to the reference time. The total potential energy of the flexural composite member is minimized to derive the time dependent finite element equilibrium equation. Numerical applications are made for the 3-span double composite steel box girders which is a composite bridge girder filled with concrete at the bottom of the steel box in the negative moment region. The numerical analysis with considering the variation of concrete elastic modulus are performed to investigate the effect of it on the early-age behavior of composite structures. The one dimensional finite element analysis results are compared with the analytical method based on the sectional analysis. Close agreement is observed among the two methods.

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