• 제목/요약/키워드: initial element

검색결과 1,676건 처리시간 0.022초

Exact dynamic element stiffness matrix of shear deformable non-symmetric curved beams subjected to initial axial force

  • Kim, Nam-Il;Kim, Moon-Young
    • Structural Engineering and Mechanics
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    • 제19권1호
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    • pp.73-96
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    • 2005
  • For the spatially coupled free vibration analysis of shear deformable thin-walled non-symmetric curved beam subjected to initial axial force, an exact dynamic element stiffness matrix of curved beam is evaluated. Firstly equations of motion and force-deformation relations are rigorously derived from the total potential energy for a curved beam element. Next a system of linear algebraic equations are constructed by introducing 14 displacement parameters and transforming the second order simultaneous differential equations into the first order simultaneous differential equations. And then explicit expressions for displacement parameters are numerically evaluated via eigensolutions and the exact $14{\times}14$ dynamic element stiffness matrix is determined using force-deformation relations. To demonstrate the accuracy and the reliability of this study, the spatially coupled natural frequencies of shear deformable thin-walled non-symmetric curved beams subjected to initial axial forces are evaluated and compared with analytical and FE solutions using isoparametric and Hermitian curved beam elements and results by ABAQUS's shell elements.

개량박막 유한요소법에 의한 두가지 블랭크로부터의 사각컵 딥드로잉 성형해석 (Analysis of Square Cup Deep Drawing from two Types of Blanks with a Modified Membrane Finite Element Method)

  • 허훈;한수식
    • 대한기계학회논문집
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    • 제18권10호
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    • pp.2653-2663
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    • 1994
  • The design of sheet metal working processes is based on the knowledge about the deformation mechanism and the influence of the process parameters. The typical geometric process parameters are the die geometry, the initial sheet thickness, the initial blank shape, and so on. The initial blank shape is of vital importance in the most sheet metal forming operations, especially in the deep drawing process, since the forming load and the strain distribution are significantly affected by the shape of an initial blank. The influence of the initial blank shape on a square cup deep drawing process is investigated by the numerical simulation and the experiment. The numerical simulation is carried out by a modified membrane finite element method which takes bending deformation into account. The numerical and experi-mental results show that the initial blank shape have strong influence on the forming load and the strain distribution. The numerical results are compared with the experimental results and other numerical results which are calculated with the membrane theory.

A force-based element for direct analysis using stress-resultant plasticity model

  • Du, Zuo-Lei;Liu, Yao-Peng;Chan, Siu-Lai
    • Steel and Composite Structures
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    • 제29권2호
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    • pp.175-186
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    • 2018
  • The plastic hinge method and the plastic zone method are extensively adopted in displacement-based elements and force-based elements respectively for second-order inelastic analysis. The former enhances the computational efficiency with relatively less accurate results while the latter precisely predicts the structural behavior but generally requires more computer time. The displacement-based elements receive criticism mainly on plasticity dominated problems not only in accuracy but also in longer computer time to redistribute the forces due to formation of plastic hinges. The multi-element-per-member model relieves this problem to some extent but will induce a new problem in modeling of member initial imperfections required in design codes for direct analysis. On the contrary, a force-based element with several integration points is sufficient for material yielding. However, use of more integration points or elements associated with fiber section reduces computational efficiency. In this paper, a new force-based element equipped with stress-resultant plasticity model with minimal computational cost is proposed for second-order inelastic analysis. This element is able to take the member initial bowing into account such that one-element-per-member model is adequate and complied with the codified requirements of direct analysis. This innovative solution is new and practical for routine design. Finally, several examples demonstrate the validity and accuracy of the proposed method.

직접격자 사상법을 이용한 S-rail 성형공정의 유한요소 역해석 및 성형효과를 고려한 충돌해석 (Finite Element Inverse Analysis of an S-rail Forming Process with Direct Mesh Mapping Method and Crash Analysis considering Forming Effects)

  • 김승호;허훈
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2002년도 춘계학술대회 논문집
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    • pp.125-128
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    • 2002
  • The automotive industry have made an effort to reduce the weight of vehicle structures with increased safety, while initial model of the final product does not contain any prehistoric effects in a design stave. It takes lots of time to calculate forming effects that have great influences on the energy absorption of structures. In this paper, finite element inverse analysis is adopted to calculate forming effects, such as thickness variation and effective plastic strain as well as an initial blank shape with small amount of computation time. Crash analysis can be directly performed after inverse analysis of the forming process without remeshing scheme. The direct mesh mapping method is used to calculate an initial guess from the sliding constraint surface that is extracted from the die and punch set. Analysis results show that energy absorption of structures is increased with consideration of forming effects and finite element inverse analysis is usefully applicable to calculate forming erects of vehicle structures for the crash analysis.

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유한요소해석을 이용한 후육관 롤포밍에서의 초기소재 에지 형상 예측과 설계 (Prediction and Design of Edge Shape of Initial Strip for Thick Tube Roll Forming using Finite Element Method)

  • 김낙수;이승윤
    • 대한기계학회논문집A
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    • 제26권4호
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    • pp.644-652
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    • 2002
  • Increasing demands for Electric Resistance Welded pipes of high quality with thick wall require c lose investigations in edge deformation by slitting, strip deformation during break down farming, and difference of circumferential length. In order to obtain good quality of a welding zone, it is necessary to predict the edge shape of the initial strip. The modeling of the multi-pass thick tube roll forming process with rigid plastic finite element method ultra the edge shape prediction of an initial strip with 2nd-degree polynomial regression method are presented. Edge shapes of initial strip have been analyzed by the finite element method and designed by the regression method to satisfy the requirements in target fin pass. It is concluded that the proposed edge design method results in optimal edge shapes sat string the design requirements.

Elastic stiffness of perfobond connections in composite structures

  • Qin, Xi;Yang, Guotao
    • Steel and Composite Structures
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    • 제42권2호
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    • pp.221-241
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    • 2022
  • Perfobond rib connectors are widely used in composite structures to achieve the composite action between the steel and the concrete, and empirical expressions for their strength and secant stiffness have been obtained by numerical simulations or push-out tests. Since perfobond connections are generally in an elastic state in the service process and the structural analysis are always based on the elastic properties of the members, the secant stiffness is not applicable for the normal structural analysis. However, the tangent stiffness of perfobond connections has not been introduced in previous studies. Moreover, the perfobond connections are bearing tension and shear force simultaneously when the composite beams subjected to torque or local loads, but the current studies fail to arrive at the elastic stiffness considering the combined effects. To resolve these discrepancies, this paper investigates the initial elastic stiffness of perfobond connections under combined forces. The calculation method for the elastic stiffness of perfobond connections is analyzed, and the contributions of the perfobond rib, the perforating rebar and the concrete dowel are investigated. A finite element method was verified with a high value of correlation for the test results. Afterwards, parametric studies are carried out using the reliable finite element analysis to explore the trends of several factors. Empirical equations for predicting the initial elastic stiffness of perfobond connections are proposed by the numerical regression of the data extracted by parametric studies. The equations agree well with finite element analysis and test results, which indicates that the proposed empirical equations reflect a high accuracy for predicting the initial elastic stiffness of perfobond connections.

3차원 유한요소법을 이용한 T형 가지관의 용접자리 성형 방법에 관한 연구 (A Study on the T-branch Forming with 3-D Finite Element Method)

  • 홍대훈;황두순;신동필;홍성인
    • 소성∙가공
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    • 제10권1호
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    • pp.23-29
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    • 2001
  • In this study, the optimized initial hole shape for T-branch forming was proposed to obtain effective welding region. Design variables were determined by approximation analysis using volume constant condition. We performed 3D elastic-plastic FEM(Finite Element Method) analysis to simulate T-branch forming process. The variation of height and thickness of T-branch with various hole shapes was investigated. The optimized initial hole shape equation was obtained by using results for the numerical analysis.

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Investigation on deck-stay interaction of cable-stayed bridges with appropriate initial shapes

  • Liu, Ming-Yi;Lin, Li-Chin;Wang, Pao-Hsii
    • Structural Engineering and Mechanics
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    • 제43권5호
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    • pp.691-709
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    • 2012
  • This paper provides a variety of viewpoints to illustrate the mechanism of the deck-stay interaction with the appropriate initial shapes of cable-stayed bridges. Based on the smooth and convergent bridge shapes obtained by the initial shape analysis, the one-element cable system (OECS) and multi-element cable system (MECS) models of the Kao Ping Hsi Bridge in Taiwan are developed to verify the applicability of the analytical model and numerical formulation from the field observations in the authors' previous work. For this purpose, the modal analysis of the two finite element models are conducted to calculate the natural frequency and normalized mode shape of the individual modes of the bridge. The modal coupling assessment is also performed to obtain the generalized mass ratios among the structural components for each mode of the bridge. The findings indicate that the coupled modes are attributed to the frequency loci veering and mode localization when the "pure" deck-tower frequency and the "pure" stay cable frequency approach one another, implying that the mode shapes of such coupled modes are simply different from those of the deck-tower system or stay cables alone. The distribution of the generalized mass ratios between the deck-tower system and stay cables are useful indices for quantitatively assessing the degree of coupling for each mode. These results are demonstrated to fully understand the mechanism of the deck-stay interaction with the appropriate initial shapes of cable-stayed bridges.

유한요소법을 이용한 사각단면 금형스프링의 초기 설계변수 예측 (Prediction of Initial Design Parameter of Rectangular Shaped Mold Spring Using Finite Element Method)

  • 이형욱
    • 소성∙가공
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    • 제20권6호
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    • pp.450-455
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    • 2011
  • This paper presents an inverse design methodology for the cross section geometry of mold spring with a rectangular cross section as the starting material for a coiling process. The cross-sections of mold springs are universally rectangular, as the parallel sides minimize the possibility of failure under high service loads. Pre-coiled wires are initially designed to have a trapezoidal cross section, which becomes a rectangle by the coiling process. This study demonstrates a numerical exercise to predict changes in the sectional geometry in spring manufacture and to obtain the initial cross section which becomes the exact rectangle desired from the manufacturing process. Finite element analysis was carried out to calculate the sectional changes for various mold springs. Geometrical parameters were the widths at inner and outer radii, the inner and the outer corner radii, and the height. A partial least square regression analysis was carried out to find the main contributing factors for deciding initial design values. The height and the width mainly affected various initial parameters. The initial width at the inner radius was mostly affected by various specification parameters.

복합재 초기 공극 결함에 따른 횡하중 강도 확률론적 분석 (Stochastic Strength Analysis according to Initial Void Defects in Composite Materials)

  • 지승민;조성욱;전성식
    • Composites Research
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    • 제37권3호
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    • pp.179-185
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    • 2024
  • 본 연구는 Representative Volume Element(RVE) 모델을 사용하여 초기 공극 결함이 있는 단방향 섬유강화 복합재의 횡방향 인장 강도 변화에 대해 정량적 평가 및 조사되었다. 초기 공극 결함을 표본오차와 신뢰 수준을 기준으로 적정 표본의 수가 계산된 후, 총 5000개의 초기 공극 결함이 있는 RVE 모델이 표본 집단으로 생성되었다. 표본 집단은 차원 축소법과 밀도 기반 군집 분석을 통해 유사도 분석이 진행되었으며 편향되지 않은 표본 집단임이 확인 및 검증되었다. 검증된 표본 분석 결과는 복합재 구조의 신뢰성 해석에 적용될 수 있게 Weibull 분포로 표현되었다.