• 제목/요약/키워드: Linear elastic finite element method

검색결과 258건 처리시간 0.025초

Dynamic Analysis of a Moving Vehicle on Flexible Beam structures ( I ) : General Approach

  • Park, Tae-Won;Park, Chan-Jong
    • International Journal of Precision Engineering and Manufacturing
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    • 제3권4호
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    • pp.54-63
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    • 2002
  • In recent years, mechanical systems such as high speed vehicles and railway trains moving on elastic beam structures have become a very important issue to consider. In this paper, a general approach, which can predict the dynamic behavior of a constrained mechanical system moving on a flexible beam structure, is proposed. Various supporting conditions for the foundation support are considered for the elastic beam structure. The elastic structure is assumed to be a non-uniform and linear Bernoulli-Euler beam with a proportional damping effect. Combined differential-algebraic equation of motion is derived using the multi-body dynamics theory and the finite element method. The proposed equations of motion can be solved numerically using the generalized coordinate partitioning method and predictor-corrector algorithm, which is an implicit multi-step integration method.

Analysis of plane frame structure using base force element method

  • Peng, Yijiang;Bai, Yaqiong;Guo, Qing
    • Structural Engineering and Mechanics
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    • 제62권1호
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    • pp.11-20
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    • 2017
  • The base force element method (BFEM) is a new finite element method. In this paper, a degenerated 4-mid-node plane element from concave polygonal element of BFEM was proposed. The performance of this quadrilateral element with 4 mid-edge nodes in the BFEM on complementary energy principle is studied. Four examples of linear elastic analysis for plane frame structure are presented. The influence of aspect ratio of the element is analyzed. The feasibility of the 4 mid-edge node element model of BFEM on complementary energy principles researched for plane frame problems. The results using the BFEM are compared with corresponding analytical solutions and those obtained from the standard displacement finite element method. It is revealed that the BFEM has better performance compared to the displacement model in the case of large aspect ratio.

탄성 유한요소 해석에 의한 슬래브의 비탄성 처짐 산정 (Computation of Inelastic Deflection of Slab by Elastic Finite Element Analysis)

  • 이성우
    • 전산구조공학
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    • 제5권1호
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    • pp.83-89
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    • 1992
  • 사용하중하의 철근콘크리트 스래브의 비탄성 처짐을 산정하는 실용적인 방법을 제시하였다. 선형 유한요소 해석의 탄성해석결과와 설계된 철근량을 이용하여 비탄성 처짐계수(.betha.)를 결정하고, 이를 이용하여 설계된 슬리브의 사용성을 검토하기 위한 사용하중하의 처짐을 구할 수 있도록 하였다. 모서리에 지지된 슬래브 예에서 제시한 방법으로 구한 비탄성처짐과 실험 및 비선형해석 결과와 비교해 본 결과 서로 매우 잘 일치함을 보여주었다. 제시된 방법을 비정형 슬래브 설계에 응용한 문제도 고려하였다.

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유한요소법을 이용한 미끄럼 접촉시의 반무한체 내의 수평균열 전파해석 (Finite Element Analysis of Subsurface Crack Propagation in Half-space Due to Sliding Contact)

  • 이상윤;김석삼
    • 한국윤활학회:학술대회논문집
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    • 한국윤활학회 1999년도 제29회 춘계학술대회
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    • pp.297-302
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    • 1999
  • Finite element analysis is peformed about the crack propagation in half-space due to sliding contact. The analysis is based on linear elastic fracture mechanics and stress intensity factor concept. The crack location is fixed and the friction coefficient between asperity and half-space is varied to analyze the effect of surface friction on stress Intensity factor for horizontal crack. The crack propagation direction is predicted based on the maximum range of shear and tensile stress intensity factor.

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피로 균열 형상 진전의 수치 모델링 기법에 관한 연구 (A Numeric Modelling Technique for the Shape Development of Fatigue Crack)

  • 한문식
    • 한국정밀공학회지
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    • 제16권2호통권95호
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    • pp.225-233
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    • 1999
  • This paper describes a versatile finite element technique which has been used to investigate of wide range of structural defects of practical importance. The procedure automatically remeshes the three-dimensional finite element model during the stages of crack growth. Problems analyzed to date include the surface cracks in leak-before-break situations, the development of quarter-elliptical corner defects, planar semi-elliptical surface defects and the fatigue growth of defects.

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피로 하중하에서의 복수표면크랙진전에 관한 수치시뮬레이션 (Numerical Simulation of Fatigue Growth of Multiple Surface Crack under Fatigue Load)

  • 한문식
    • 한국자동차공학회논문집
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    • 제10권6호
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    • pp.133-141
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    • 2002
  • This paper describes a versatile finite element technique which has been used to investigate wide range of structural defects of practical importance. The procedure automatically remeshes the three-dimensional finite element model during the stages of crack growth. Problems include the surface cracks in leak-before-break situations, the shape development of multiple surface defects.

Hydrodynamic pressures acting on the walls of rectangular fluid containers

  • Dogangun, Adem;Livaoglu, Ramazan
    • Structural Engineering and Mechanics
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    • 제17권2호
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    • pp.203-214
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    • 2004
  • The dynamic response characteristics of a rectangular fluid container are investigated by using finite element method. The fluid is assumed to be linear-elastic, inviscid and compressible. A displacement-based fluid finite element was employed to allow for the effects of the fluid. A typical rectangular fluid container, which is used in recent studies, is considered for the numerical analysis. The North-South component of El Centro Earthquake records is used as input ground acceleration. Rigid and flexible fluid containers solutions are obtained for the chosen sample tank. Hydrodynamic pressures and sloshing motions are determined using Lagrangian fluid finite element. The results obtained from this study are compared with the results obtained by boundary-finite element method (BEM-FEM) and requirements of Eurocode-8. Based on the numerical analysis, some conclusions and discussions on the design considerations for rectangular fluid containers are presented.

A fiber beam element model for elastic-plastic analysis of girders with shear lag effects

  • Yan, Wu-Tong;Han, Bing;Zhu, Li;Jiao, Yu-Ying;Xie, Hui-Bing
    • Steel and Composite Structures
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    • 제32권5호
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    • pp.657-670
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    • 2019
  • This paper proposes a one-dimensional fiber beam element model taking account of materially non-linear behavior, benefiting the highly efficient elastic-plastic analysis of girders with shear-lag effects. Based on the displacement-based fiber beam-column element, two additional degrees of freedom (DOFs) are added into the proposed model to consider the shear-lag warping deformations of the slabs. The new finite element (FE) formulations of the tangent stiffness matrix and resisting force vector are deduced with the variational principle of the minimum potential energy. Then the proposed element is implemented in the OpenSees computational framework as a newly developed element, and the full Newton iteration method is adopted for an iterative solution. The typical materially non-linear behaviors, including the cracking and crushing of concrete, as well as the plasticity of the reinforcement and steel girder, are all considered in the model. The proposed model is applied to several test cases under elastic or plastic loading states and compared with the solutions of theoretical models, tests, and shell/solid refined FE models. The results of these comparisons indicate the accuracy and applicability of the proposed model for the analysis of both concrete box girders and steel-concrete composite girders, under either elastic or plastic states.

Absolute effective elastic constants of composite materials

  • Bulut, Osman;Kadioglu, Necla;Ataoglu, Senol
    • Structural Engineering and Mechanics
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    • 제57권5호
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    • pp.897-920
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    • 2016
  • The objective is to determine the mechanical properties of the composites formed in two types, theoretically. The first composite includes micro-particles in a matrix while the second involves long, thin fibers. A fictitious, homogeneous, linear-elastic and isotropic single material named as effective material is considered during calculation which is based on the equality of the strain energies of the composite and effective material under the same loading conditions. The procedure is carried out with volume integrals considering a unique strain energy in a body. Particularly, the effective elastic shear modulus has been calculated exactly for small-particle composites by the same procedure in order to determine of bulk modulus thereof. Additionally, the transverse shear modulus of fiber reinforced composites has been obtained through a simple approach leading to the practical equation. The results have been compared not only with the outcomes in the literature obtained by different method but also with those of finite element analysis performed in this study.

$L_14-$B_4$샌드위치형 진동자를 이용한 선형 초음파 모터의 설계 및 특성 (Design and Characteristics of Ultrasonic Linear Motor Using $L_14-$B_4$Sandwich-type Vibrator)

  • 김태열;김범진;박태곤;김명호
    • 한국전기전자재료학회논문지
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    • 제13권12호
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    • pp.1025-1031
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    • 2000
  • An ultrasonic linear motors consist of a slider and an ultrasonic vibrator which generates an elliptical oscillations. The ultrasonic linear motors mainly consist of an ultrasonic vibrator which generates elliptical oscillations. The ultrasonic linear motor fabricated in this paper was the use of the 1st longitudinal(L1) and 4th bending vibrations(B4). In order to low driving voltage and improve the life time of the ultrasonic motor, we used stacked piezoceramics. Stacked piezoceramics are adhered to aluminum elastic material. The finite element method was used to optimize dimension of ultrasonic vibrator and direction of vibratory displacement. As a result of estimating the characteristics of the ultrasonic linear motor, no-load velocity was 0.204[m/s] when applied voltage was 70[ $V_{rms}$] in resonance frequency.y.

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