• 제목/요약/키워드: Geometric Non-linearity

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Large deflection analysis of edge cracked simple supported beams

  • Akbas, Seref Doguscan
    • Structural Engineering and Mechanics
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    • 제54권3호
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    • pp.433-451
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    • 2015
  • This paper focuses on large deflection static behavior of edge cracked simple supported beams subjected to a non-follower transversal point load at the midpoint of the beam by using the total Lagrangian Timoshenko beam element approximation. The cross section of the beam is circular. The cracked beam is modeled as an assembly of two sub-beams connected through a massless elastic rotational spring. It is known that large deflection problems are geometrically nonlinear problems. The considered highly nonlinear problem is solved considering full geometric non-linearity by using incremental displacement-based finite element method in conjunction with Newton-Raphson iteration method. There is no restriction on the magnitudes of deflections and rotations in contradistinction to von-Karman strain displacement relations of the beam. The beams considered in numerical examples are made of Aluminum. In the study, the effects of the location of crack and the depth of the crack on the non-linear static response of the beam are investigated in detail. The relationships between deflections, end rotational angles, end constraint forces, deflection configuration, Cauchy stresses of the edge-cracked beams and load rising are illustrated in detail in nonlinear case. Also, the difference between the geometrically linear and nonlinear analysis of edge-cracked beam is investigated in detail.

Stability analyses of a cylindrical steel silo with corrugated sheets and columns

  • Sondej, Mateusz;Iwicki, Piotr;Wojcik, Michal;Tejchman, Jacek
    • Steel and Composite Structures
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    • 제20권1호
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    • pp.147-166
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    • 2016
  • The paper presents comprehensive quasi-static stability analysis results for a real funnel-flow cylindrical steel silo composed of horizontally corrugated sheets strengthened by vertical thin-walled column profiles. Linear buckling and non-linear analyses with geometric and material non-linearity were carried out with a perfect and an imperfect silo by taking into account axisymmetric and non-axisymmetric loads imposed by a bulk solid following Eurocode 1. Finite element simulations were carried out with 3 different numerical models (single column on the elastic foundation, 3D silo model with the equivalent orthotropic shell and full 3D silo model with shell elements). Initial imperfections in the form of a first eigen-mode for different wall loads and from 'in-situ' measurements with horizontal different amplitudes were taken into account. The results were compared with Eurocode 3. Some recommendations for the silo dimensioning were elaborated.

A Numerical and Experimental Study on Dynamics of A Towed Low-Tension Cable

  • 정동호;박한일
    • 한국해양공학회:학술대회논문집
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    • 한국해양공학회 2002년도 추계학술대회 논문집
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    • pp.191-196
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    • 2002
  • The paper presents a numerical and experimental investigation on dynamic behaviors of a towed low tension cable. In the numerical study, an implicit finite difference algorithm is employed for three-dimensional cable equations. Fluid and geometric non-linearity and bending stiffness are considered and solved by Newton-Raphson iteration. Block tri-diagonal matrix method is applied for the fast calculation of the huge size of matrices. In order to verify the numerical results and to see real physical phenomena, an experiment is carried out for a 6m cable in a deep and long towing tank. The cable is towed in two different ways; one is towed at a constant speed and the other is towed at a constant speed with top end horizontal oscillations. Cable tension and shear forces are measured at the top end. Numerical and experimental results are compared with good agreements in most cases but with some differences in a few cases. The differences are due to drag coefficients caused by vortex shedding. In the numerical modeling, non-uniform element length needs to be employed to cope with the sharp variation of tension and shear forces at near top end.

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딥 드로잉 공정에 미치는 영향인자에 관한 실험적 연구 (Experimental Study on the Parameters Affecting Deep Drawing Process)

  • 정동원;양형일;이승훈
    • 동력기계공학회지
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    • 제7권2호
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    • pp.61-65
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    • 2003
  • Sheet metal forming process is a non-linearity problem which Is affected by various process variables, such as geometric shape of punch and die, frictional characteristic, etc.. Therefore, the knowledge of the influence of the process variables is needed in the design of sheet metal working processes. In this paper, deep drawing tests for blank holding force, punch speed and lubrication between sheet material and tool were carried out to investigate the influence upon sheet formability. Experimental results were discussed about the defects on the deformation behaviors during the forming process.

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지하매설 복합재료 파이프의 비선형 해석 (Non-linear Analysis of Underground Laminated Composite Pipes)

  • 김덕현;이인원;한봉구
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2004년도 추계학술발표대회 논문집
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    • pp.112-115
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    • 2004
  • An analytical study is conducted using the Galerkin technique to determine the behaviour of thin fibre-reinforced composite pipes under soil pressure. Geometric nonlinearity and material linearity are assumed. It is assumed that the vertical and lateral soil pressures are proportional to the depth and the lateral displacement of the pipe respectively. It is also assumed that the radial shear stress is negligible because the ratio of the thickness to the radius of the pipe is very small. The calculation results are compared with the finite element analysis result.

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딥 드로잉 공정에 미치는 영향인자에 관한 실험적 연구 (Experimental Study on the Parameters Affecting Deep Drawing Process)

  • 정동원;이승훈
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2003년도 춘계학술대회 논문집
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    • pp.1593-1596
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    • 2003
  • Sheet metal forming process is a non-linearity problem which is affected by various process variables, such as geometric shape of punch and die, frictional characteristic, etc.. Therefore, the knowledge of the influence of the process variables is needed in the design of sheet metal working processes. In this paper, deep drawing tests for blank holding force, punch speed and lubrication between sheet material and tool were carried out to investigate the influence upon sheet formability. Experimental results were discussed about the defects on the deformation behaviors during the forming process.

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보강된 구조물의 기하학적 비선형 해석을 위한 편심 응축 셸 요소 (An Eccentric Degenerated Shell Element for the Geometrically Nonlinear Analysis of Stiffened Structures)

  • 이원재;이병채
    • 대한기계학회논문집A
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    • 제24권7호
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    • pp.1721-1730
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    • 2000
  • An eccentric degenerated shell element with geometric non-linearity for the precise and efficient analysis of stiffened shell structures is developed. To deal with the eccentricity, we define the e ccentric shell and the master shell that constitute one combined shell. It is assumed that the sections remain plane after deformation. The internal force vector and the tangent stiffness matrix based on the virtual work principle in the natural coordinate system are derived. To enhance the robustness of the element, assumed strain method for transverse shear and membrane strains is used. Through numerical experiments the effectiveness of the proposed element is demonstrated.

섬유의 적층각을 고려한 다이아프램형 공기 스프링의 유한요소 해석 (Finite Element Analysis of Diaphragm Type Air Springs considering the Variation of Fiber Angles)

  • 이형욱;김세호;허훈;김진영;정수교
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 1999년도 춘계학술발표대회 논문집
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    • pp.29-33
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    • 1999
  • this paper concerned with the stress analysis of a diaphragm-type air spring which consists of rubber linings nylon reinforced rubber composite. The analysis is carried out with a finite element method developed to consider the orthotropic properties geometric non-linearity and contact between an air bag and a bead ring The material properties are evaluated with the Halpio-Tsai equations and the rule of mixture. The analysis results demonstrate the variation of the outer diameter the fold height and the vertical force with different models to the design a proper diaphragm air springs.

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영구자석 선형동기전동기의 디텐트력 저감법 (Detent Force Minimization Techniques in Permanent Magnet Linear Synchronous Motor)

  • 임기채;우준근;홍정표;김규탁
    • 대한전기학회논문지:전기기기및에너지변환시스템부문B
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    • 제49권11호
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    • pp.749-756
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    • 2000
  • Detent force develops generally undesirable effect that contributes to the output ripple of machine, vibration and noise. This paper proposes detent force minimization techniques for a Permanent Magnet Linear Synchronous Motor (PMLSM). In addition, thrust according to each minimization technique is estimated to observe the change of machine performance. A two-dimensional Finite Element Method is used to predict detent force and thrust due to structural factors and non-linearity. And moving node technique for geometric models is proposed to reduce modeling time and efforts.

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회전 유연 외팔보 진동 시뮬레이션 검증을 위한 테스트 베드 구축 (Developement of A Flexible Rotating Beam Test Bed for Experimental Varification)

  • 강연준;김성수
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2000년도 추계학술대회논문집
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    • pp.534-539
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    • 2000
  • A flexible rotating beam test bed has been developed for experimental verification of flexible rotating beam dynamics and vibration. It consists of a flexible arm, harmonic driver reducer, ac servo motor and DSP board with PC. To capture the motion induced stiffening effects of the flexible rotating beam, substructuring model has been established in multibody dynamics simulation. Substructuring model provides better results comparing with experimental data.

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