• Title/Summary/Keyword: 6-절점 요소

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Development of a Bellows Finite Element for the Analysis of Piping System (배관시스템 해석을 위한 벨로우즈 유한요소의 개발)

  • 고병갑;박경진;이완익
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.6
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    • pp.1439-1450
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    • 1995
  • Bellows is a familiar component in piping systems as it provides a relatively simple means of absorbing thermal expansion and providing system flexibility. In routine piping flexibility analysis by finite element methods, bellows is usually considered to be straight pipe runs modified by an appropriate flexibility factor; maximum stresses are evaluated using a corresponding stress concentration factor. The aim of this study is to develop a bellows finite element, which similarly includes more complex shell type deformation patterns. This element also does not require flexibility or stress factors, but evaluates more detailed deformation and stress patterns. The proposed bellows element is a 3-D, 2-noded line element, with three degrees of freedom per node and no bending. It is formulated by including additional 'internal' degrees of freedom to account for the deformation of the bellows corrugation; specifically a quarter toroidal section of the bellows, loaded by axial force, is considered and the shell type deformation of this is include by way of an approximating trigonometric series. The stiffness of each half bellows section may be found by minimising the potential energy of the section for a chosen deformation shape function. An experiment on the flexibility is performed to verify the reliability for bellows finite element.

Plate Bending Finite Element Model Using Higher-order Inplane Displacement Profile (면방향(面方向) 고차변위(高次變位)를 고려(考慮)한 평판(平板) 유한요소(有限要素)모델)

  • Shin, Hyun Mook;Shin, Young Shik;Kim, Hyeong Yeol
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.7 no.1
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    • pp.65-73
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    • 1987
  • An efficient plate bending finite element has been developed using higher-order inplane displacement profiles of the plate. The 6-noded, 21-d.o.f. triangular element including shear deformation effect has been derived from the plate-like continuum by the Galerkin's weighted residual method. Square plate examples were tested with selected element meshes and several aspect ratios for their static behavior under uniformly distributed load. The result of the example tests indicated consistently good performance of the present higher-order plate bending element in comparison with the thin and thick plate solution and other existing finite element solutions.

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Development of a flat shell element by using the hybrid Trefftz plane element with drilling D.O.F. and the DKMQ element (면내 회전 자유도가 추가된 hybrid Trefftz 평면 요소와 DKMQ 요소를 이용한 4 절점 평면 셸 요소의 개발)

  • 최누리;추연석;이승규;이병채
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2004.10a
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    • pp.855-859
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    • 2004
  • We develop a new four-node flat shell element which is accurate, efficient, and suitable to be used on general purpose. The new element has a hybrid Trefftz element with drilling degrees of freedom as a membrane part. We define the two independent displacement field: the internal displacement field that satisfies governing equations in the domain a priori and the boundary displacement field that is usually used as a conventional finite element method. The hybrid Trefftz variational formulation connects these two displacement fields on the boundary of the domain. To add drilling degrees of freedom, we introduce the Allman's quadratic displacement field to the boundary displacement field. As a result, our flat shell element has 6 degrees of freedom per a node. We also use the well-known DKMQ plate bending element for the plate part of the proposed element. The DKMQ element satisfies Mindlin-Reissner‘s plate theory along the edge of the element and gives proper behavior regardless of the thickness. A series of numerical experiments shows that the performance of the new element such as accuracy, rate of convergence, robustness to mesh quality, and so on.

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On the Modification of Gauss Integral Point of 6 Node Two Dimensional Isoparametric Element -Linear and Nonlinear Static and Dynamic Bending Analyses- (6절점 2차원 Isoparametric요소의 가우스적분점 수정에 관하여 -선형, 비선형의 정적 및 동적 굽힘해석-)

  • 김정운;정래훈;권영두
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.12
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    • pp.3007-3019
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    • 1993
  • For the same configuration, the stiffness of 6-node two dimensional isoparametric is stiffer than that of 8-node two dimensional isoparametric element. This phenomenon may be called 'Relative Stiffness Stiffening Phenomenon.' In this paper, the relative stiffness stiffening phenomenon was studied, and could be corrected by modifying the position of Gauss integral points used in the numerical integration of the stiffness matrix. For the same deformation (bending) energy of 6-node and 8-node two dimensional isoparametric elements, Gauss integral points of 6-node element have to move closer, in comparison with those of 8-node element, in the case of numerical integration along the thickness direction.

Development of a Module to Predict Burr Formation Using the Finite Element Method (유한요소법을 이용한 버 형성 예측 모듈의 개발)

  • Go, Dae-Cheol;Go, Seong-Rim
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.10
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    • pp.170-179
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    • 2000
  • The objective of this study is to develop an analytical module for the prediction of burr formation during cutting process using the finite element method. This module is based on the rigid-plastic finite element method, ductile fracture criterion, fracture propagation technique and node separation criterion. The sequence of burr formation from burr initiation through end of burr formation is simulated and investigated by this module. The effect of material properties, such as AL6061-T6, AL2024-T4 and Copper, and cutting condition, such as rake angle and cutting depth, on burr formation is also discussed in this study. To validate this module the analysis results are compared with experimental ones.

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Finite Element Modeling of a Piezoelectric Sensor Embedded in a Fluid-loaded Plate (유체와 접한 판재에 박힌 압전센서의 유한요소 모델링)

  • Kim, Jae-Hwan
    • Journal of KSNVE
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    • v.6 no.1
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    • pp.65-70
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    • 1996
  • The sensor response of a piezoelectric transducer embedded in a fluid loaded structure is modeled using a hybrid numerical approach. The structure is excited by an obliquely incident acoustic wave. Finite element modeling in the structure and fluid surrounding the transducer region, is used and a plane wave representation is exploited to match the displacement field at the mathematical boundary. On this boundary, continuity of field derivatives is enforced by using a penalty factor and to further achieve transparency at the mathematical boundary, drilling degrees of freedom (d.o.f.) are introduced to ensure continuity of all derivatives. Numerical results are presented for the sensor response and it is found that the sensor at that location is not only non-intrusive but also sensitive to the characteristic of the structure.

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Plastic Hinge Modeling Based on Lumped Plasticity using a Generalized Finite Element Method (일반유한요소법을 이용한 집중소성힌지 모델링)

  • Son, Hong-Jun;Rhee, Seung-Ho;Kim, Dae-Jin
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.31 no.6
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    • pp.381-388
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    • 2018
  • This paper presents a generalized finite element formulation for plastic hinge modeling based on lumped plasticity in the classical Euler-Bernoulli beam elements. In this approach, the plastic hinges are effectively modeled using proper enrichment functions describing weak discontinuities of the solution. The proposed methodology enables the insertion of plastic hinges at an arbitrary location without modifying the connectivity of elements. The formations of plastic hinges are instead achieved by hierarchically adding degrees of freedom to existing elements. Convergence analyses such as h- and p-extensions are performed to investigate the effectiveness of the proposed method. The analysis results indicate that the proposed generalized finite element method can achieve theoretical convergence rates for both cases where plastic hinges are located at nodes and within an element, thus demonstrating its accuracy.

ANALYSIS OF MULTPLE SHELL STRUCTURES SUBJECTED TO LATERAL LOADS (횡력을 받는 합성 쉘 구조의 해석)

  • 이평수
    • Computational Structural Engineering
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    • v.2 no.2
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    • pp.73-83
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    • 1989
  • A computer program, MSSLL, was developed for the analysis of the "Multiple Shell Subjected to Lateral Loads" by utilizing 2-dimensional finite elements in a 3-dimensional global assemblage with 6 DOF at each nodal point. In this program, substructuring procedure with frontal solver was introduced in the solution procedure to save both human and computer resource when the whole structure consists of repeated identical substructures. Some of the results obtained by MSSLL were compared with the existing solutions by other methods. The effect of rise to span-length ratio was investigated for the behavior of the multiple conical shell with 8 substructures subjected to seismic loads by performing a parametric study.

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Evaluation on Structural Performance of Two-nodal Rotary Frictional Component (2절점 회전형 마찰요소의 구조성능 평가)

  • Kim, Do-Hyun;Kim, Ji-Young;Kim, Myeong-Han
    • Journal of the Korean Society for Advanced Composite Structures
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    • v.6 no.4
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    • pp.51-57
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    • 2015
  • Various hybrid dampers have been developed in Korea to control the vibration due to a wind and earthquake. In order to minimize the installment space, cost and construction process, the new hybrid friction damper is developed. This hybrid damper is composed of several rotary friction components having two frictional joint. Because of these components, the building vibration due to wind and earthquake can be mitigated by hybrid friction damper. In this paper, various dependency tests were carried out to evaluate on the structural performance of two joint rotational friction component of the hybrid damper. Test results show that two joint rotational components do not depend on a displacement and a frequency of forcing but friction coefficients is reducing as a clamping force is increasing.

Development and Application of Reliability Index based on Hydraulic Uniformity in Water Distribution Networks (상수관망의 수리학적 균등성을 이용한 신뢰도 지표의 개발 및 적용)

  • Jeong, Gimoon;Kang, Doosun
    • Proceedings of the Korea Water Resources Association Conference
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    • 2019.05a
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    • pp.6-6
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    • 2019
  • 상수관망시스템은 공급원으로부터 수요처까지의 용수공급을 위해 구축된 관수로 기반의 사회기반시설물로서, 주로 생활 및 산업 용수를 공급하므로 대규모 사회 경제적 피해를 방지하기 위해서는 안정적인 용수공급 능력이 요구된다. 네트워크의 다양한 특성에 의해 표현되는 상수관망시스템의 신뢰도(reliability)는 크게 시스템 내 구성요소의 안정성(mechanical reliability)과 용수공급의 기능적 안정성(hydraulic reliability)으로 구분할 수 있다. 특히, 시스템의 용수공급 안정성에 주목한 수리학적 신뢰도 연구는 많은 연구자들에 의해 지속적으로 수행된 바 있으며, 다양한 평가방법 및 지표들이 제시되어 활용 중에 있다. 기존의 수리학적 신뢰도 지표들은 주로 수요절점(demand node)에서의 공급가능 수량 및 수압을 바탕으로 산정되었다. 그러나, 절점(node)에서의 공급 상태는 결과에 해당하며, 원인 분석을 위해서는 관로(pipe)의 배치 및 규격을 분석해야 하는 번거로움이 존재한다. 이러한 단점을 보완하기 위해, 본 연구에서는 직접 관로(pipe)의 공급 특성을 분석하여 네트워크의 신뢰도를 평가함으로써, 신뢰도 저하의 원인 분석 및 시스템 개선에 효율적으로 활용할 수 있는 신뢰도 지표를 산정하고자 하였다. 본 연구에서는 상수관로 내 수리학적 기울기가 전반적으로 균등할수록 설계 비용대비 공급 신뢰도, 즉 용수공급 효율이 개선되는 특징을 바탕으로, 네트워크 내 총 에너지 손실로부터 각 관로의 길이, 유량 등의 특성을 고려한 등가 수리경사(Equivalent hydraulic gradient)를 유도하여 모든 관로의 적정 수리경사로 제안하였다. 따라서 각 관로의 실제 수리경사를 대상으로 관로별 수리학적 균등성 지수(pipe hydraulic uniformity index)를 산정하였으며, 더 나아가 전체 시스템의 균등성 지수(system hydraulic uniformity index)를 산정하였다. 제안된 신뢰도 지표는 가상의 네트워크에서 지역 내 용수 사용량이 증가하는 등 용수공급 안정성을 저해하는 몇 가지 시나리오를 바탕으로 검증하였으며, 또한 기존 지표들의 신뢰도 평가 결과와 비교, 분석하였다. 본 연구는 향후 네트워크 최적 설계의 목적함수로 활용하거나, 네트워크의 보강계획 수립에 기여할 것으로 기대된다.

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