• 제목/요약/키워드: free field analysis

검색결과 709건 처리시간 0.023초

확장변위함수와 불연속함수를 적용한 Mesh-free 균열해석기법 (A Mesh-free Crack Analysis Technique Using Enriched Approximation and Discontinuity Function)

  • 이상호;윤영철
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2001년도 봄 학술발표회 논문집
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    • pp.335-342
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    • 2001
  • In this paper, an improved Element-Free Galerkin (EFG) method is proposed by adding enrichment function to the standard EFG approximation and a discontinuity function is implemented in constructing the shape function across the crack surface. In this method, the singularity and the discontinuity of the crack are efficiently modeled by using initial node distribution to evaluate reliable stress intensity factor, though the standard EFG method requires placing additional nodes near the crack tip. The proposed method enables the initial node distribution to be kept without any additional nodal d.o.f. and expresses the asymptotic stress field near the crack tip successfully. Numerical example verifies the improvement and the effectiveness of the method.

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Influence of the porosities on the free vibration of FGM beams

  • Hadji, L.;Adda Bedia, E.A.
    • Wind and Structures
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    • 제21권3호
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    • pp.273-287
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    • 2015
  • In this paper, a free vibration analysis of functionally graded beam made of porous material is presented. The material properties are supposed to vary along the thickness direction of the beam according to the rule of mixture, which is modified to approximate the material properties with the porosity phases. For this purpose, a new displacement field based on refined shear deformation theory is implemented. The theory accounts for parabolic distribution of the transverse shear strains and satisfies the zero traction boundary conditions on the surfaces of the beam without using shear correction factors. Based on the present refined shear deformation beam theory, the equations of motion are derived from Hamilton's principle. The rule of mixture is modified to describe and approximate material properties of the FG beams with porosity phases. The accuracy of the present solutions is verified by comparing the obtained results with the existing solutions. Illustrative examples are given also to show the effects of varying gradients, porosity volume fraction, aspect ratios, and thickness to length ratios on the free vibration of the FG beams.

A refined exponential shear deformation theory for free vibration of FGM beam with porosities

  • Hadji, Lazreg;Daouadji, T. Hassaine;Bedia, E. Adda
    • Geomechanics and Engineering
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    • 제9권3호
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    • pp.361-372
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    • 2015
  • In this paper, a refined exponential shear deformation theory for free vibration analysis of functionally graded beam with considering porosities that may possibly occur inside the functionally graded materials (FGMs) during their fabrication. For this purpose, a new displacement field based on refined shear deformation theory is implemented. The theory accounts for parabolic distribution of the transverse shear strains and satisfies the zero traction boundary conditions on the surfaces of the beam without using shear correction factors. Based on the present refined shear deformation beam theory, the equations of motion are derived from Hamilton's principle. The rule of mixture is modified to describe and approximate material properties of the FG beams with porosity phases. The accuracy of the present solutions is verified by comparing the obtained results with the existing solutions. Illustrative examples are given also to show the effects of varying gradients, porosity volume fraction, aspect ratios, and thickness to length ratios on the free vibration of the FG beams.

전자기 주조공정에서의 자유표면 형상 제어 (Control of free surface shape in the electromagnetic casting process)

  • 박재일;강인석
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1996년도 한국자동제어학술회의논문집(국내학술편); 포항공과대학교, 포항; 24-26 Oct. 1996
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    • pp.612-615
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    • 1996
  • In the continuous casting process, molten metal contacts the mold wall and the molten metal surface is subject to the mold oscillation. The mold oscillation results in the oscillation marks on the surface of solidified steel, which has undesirable effects on the quality of slabs. In order to reduce the oscillation marks by achieving soft contact of molten metal with the mold surface, alternating magnetic field is applied to the surface of molten metal. However, if the magnetic field strength becomes too strong, the melt flow induced by the magnetic field. causes the instability of the molten metal surface, which has also the bad influence on the slab quality. Therefore, it is very important to choose the optimal position of the inductor coil and the optimal level of electric power to minimize the surface defects. In the present work, as a first step toward the optimization problem of the process, numerical studies are performed to investigate the effects of coil position and the electric power level on the meniscus shape and the flow field. As numerical tools, the boundary integral equation method(BIEM) is used for the magnetic field analysis and the finite difference method (FDM) with orthogonal grid generation is used for the flow analysis.

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연성토조의 경계조건 변화에 따른 가속도 증폭 분석 (Acceleration Amplification Analysis according to Changes in Laminar Shear Box Boundary Conditions)

  • 정수근;김용;박경호;김대현
    • 지질공학
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    • 제32권1호
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    • pp.143-155
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    • 2022
  • 본 연구에서는 지진 모사실험을 진행하는 1 g 진동대 실험에 올라가는 연성토조(Laminar Shear Box, LSB)라고 하는 토조의 경계조건(Boundary effect)을 달리하여 다른 조건에 따른 응답가속도 증폭에 대한 분석하였다. LSB의 양 옆을 고정하여 경계조건을 달리하여 실험을 진행하였고, 가속도계를 각 동일한 위치에 설치하여 2가지 시료에 대하여 실험을 진행하였다. 또한, DEEPSOIL v7 프로그램을 이용하여 1차원 지반응답해석을 통하여 자유장 조건에서와 비교 분석하였다. 그 결과 가속도가 하층부에서 상층부로 올라갈수록 증폭하는 모습을 확인할 수 있었고, 지반응답해석과 비교한 결과, 자유장 조건에서 해석과 비슷하게 나오는 것을 확인할 수 있었다. SA분석결과, 지반응답해석과 유사한 결과를 얻을 수 있었으며, 고정한 경우는 PSA가 더욱 증폭하는 결과를 확인할 수 있었다.

Using IGA and trimming approaches for vibrational analysis of L-shape graphene sheets via nonlocal elasticity theory

  • Tahouneh, Vahid;Naei, Mohammad Hasan;Mashhadi, Mahmoud Mosavi
    • Steel and Composite Structures
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    • 제33권5호
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    • pp.717-727
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    • 2019
  • This paper is motivated by the lack of studies in the technical literature concerning to vibration analysis of a single-layered graphene sheet (SLGS) with corner cutout based on the nonlocal elasticity model framework of classical Kirchhoff thin plate. An isogeometric analysis (IGA) based upon non-uniform rational B-spline (NURBS) is employed for approximation of the L-shape SLGS deflection field. Trimming technique is employed to create the cutout in geometry of L-shape plate. The L-shape plate is assumed to be Free (F) in the straight edges of cutout while any arbitrary boundary conditions are applied to the other four straight edges including Simply supported (S), Clamped (C) and Free (F). The Numerical studies are carried out to express the influences of the nonlocal parameter, cutout dimensions, boundary conditions and mode numbers on the variations of the natural frequencies of SLGS. It is precisely shown that these parameters have considerable effects on the free vibration behavior of the system. In addition, numerical results are validated and compared with those achieved using other analysis, where an excellent agreement is found. The effectiveness and the accuracy of the present IGA approach have been demonstrated and it is shown that the IGA is efficient, robust and accurate in terms of nanoplate problems. This study serves as a benchmark for assessing the validity of numerical methods used to analyze the single-layered graphene sheet with corner cutout.

The effects of stiffness strengthening nonlocal stress and axial tension on free vibration of cantilever nanobeams

  • Lim, C.W.;Li, C.;Yu, J.L.
    • Interaction and multiscale mechanics
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    • 제2권3호
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    • pp.223-233
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    • 2009
  • This paper presents a new nonlocal stress variational principle approach for the transverse free vibration of an Euler-Bernoulli cantilever nanobeam with an initial axial tension at its free end. The effects of a nanoscale at molecular level unavailable in classical mechanics are investigated and discussed. A sixth-order partial differential governing equation for transverse free vibration is derived via variational principle with nonlocal elastic stress field theory. Analytical solutions for natural frequencies and transverse vibration modes are determined by applying a numerical analysis. Examples conclude that nonlocal stress effect tends to significantly increase stiffness and natural frequencies of a nanobeam. The relationship between natural frequency and nanoscale is also presented and its significance on stiffness enhancement with respect to the classical elasticity theory is discussed in detail. The effect of an initial axial tension, which also tends to enhance the nanobeam stiffness, is also concluded. The model and approach show potential extension to studies in carbon nanotube and the new result is useful for future comparison.

Phenol Free Heat-Set 윤전 잉크의 인쇄적성에 관한 연구(제2보) - 실 인쇄 실험에 의한 분석 - (The Study of the Printability on the Phenol Free Heat-Set Web Inks(II) - Analysis by the trial printing test -)

  • 하영백;오성상;이원재
    • 펄프종이기술
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    • 제44권3호
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    • pp.41-48
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    • 2012
  • Materials used for the inks in the printing industry is an important material following the paper. The composition of the ink is pigment and organic solvents. However, Ink is used in a variety of chemicals, they are classified as non-green. Therefore, rosin-modified phenolics manufactured by the reaction of phenol and formaldehyde can take the place of eco-phenol free resin and by experiment density, gloss, trapping, contrast and dot gain of printing has been studied as printability. The result of study can support that the properties of printing using eco-phenol free resin such as density, gloss, contrast and trapping is similar to existing ink. In the part of dot gain, the result is excellent. So we were thought to be able to improve some characteristics such as dispersion of black ink, that will be possible for the field applicability.

A new hybrid HSDT for bending, free vibration, and buckling analysis of FGM plates (2D & quasi-3D)

  • Belkhodja, Y.;Ouinas, D.;Fekirini, H.;Olay, J.A. Vina;Achour, B.;Touahmia, M.;Boukendakdji, M.
    • Smart Structures and Systems
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    • 제29권3호
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    • pp.395-420
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    • 2022
  • A new hybrid quasi-3D and 2D high-order shear deformation theory is studied in this mathematical formulation, for an investigation of the bending, free vibrations and buckling influences on a functionally graded material plate. The theoretical formulation has been begun by a displacement field of five unknowns, governing the transverse displacement across the thickness of the plate by bending, shearing and stretching. The transverse shear deformation effect has been taken into consideration, satisfying the stress-free boundary conditions, especially on plate free surfaces as parabolic variation through its thickness. Thus, the mechanical properties of the functionally graded plate vary across the plate thickness, following three distributions forms: the power law, exponential form and the Mori-Tanaka scheme. The mechanical properties are used to develop the equations of motion, obtained from the Hamilton principle, and solved by applying the Navier-type solution for simply supported boundary conditions. The results obtained are compared with other solutions of 2D, 3D and quasi-3D plate theories have been found in the literature.

2차원 유체-구조뭍-지반계의 지진응답해석 (Earthquake Response Analysis for 2-D Fluid-Structure-Soil Systems)

  • 윤정방;장수혁;김재민;홍선기
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2000년도 봄 학술발표회논문집
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    • pp.289-296
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    • 2000
  • This paper presents a method of seismic analysis for a 2-D fluid-structure-soil interaction systems. With this method, the fluid can be modeled by spurious free 4-node displacement-based fluid elements which use rotational penalty and mass projection technique in conjunction with the one point reduced integration scheme to remove the spurious zero energy modes. The structure and the near-field soil are discretized by the standard 2-D finite elements, while the unbounded far-field soil is represented by the dynamic infinite elements in the frequency domain. Since this method directly models the fluid-structure-soil interaction systems, it can be applied to the dynamic analysis of a 2-D liquid storage structure with complex geometry. Finally, results of seismic analyses are presented for a spent fuel storage tank embedded in a layered half-space and a massive concrete dam on a layered half-space.

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