• 제목/요약/키워드: Transverse Shear Deformation

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층별변위 유한요소법에 기초한 점탄성층을 갖는 원통형 복합적층 패널의 진동해석 (Vibration Analyses of Cylindrical Hybrid Panel With Viscoelastic Layer Based On Layerwise Finite Elements)

  • 오일권;성태홍
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2005년도 추계학술대회논문집
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    • pp.772-778
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    • 2005
  • Based on a full layerwise displacement shell theory, the vibration and damping characteristics of cylindrical sandwiched panels with viscoelastic layers are investigated. The transverse shear deformation and the normal strain of the cylindrical hybrid panels are fully taken into account for the structural damping modelling. The present finite element model is formulated by using Hamilton's virtual work principle and the cylindrical curvature of hybrid panels is exactly modeled. Modal loss factors and frequency response functions are analyzed for various structural parameters of cylindrical sandwich panels. Present results show that the full layerwise finite element method can accurately predict the vibration and damping characteristics of the cylindrical hybrid panels with surface damping treatments and constrained layer damping.

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The application of nonlocal elasticity to determine vibrational behavior of FG nanoplates

  • Fattahi, A.M.;Safaei, Babak;Moaddab, Elham
    • Steel and Composite Structures
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    • 제32권2호
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    • pp.281-292
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    • 2019
  • Nonlocal elasticity and Reddy plant theory are used to study the vibration response of functionally graded (FG) nanoplates resting on two parameters elastic medium called Pasternak foundation. Nonlocal higher order theory accounts for the effects of both scale and the effect of transverse shear deformation, which becomes significant where stocky and short nanoplates are concerned. It is assumed that the properties of FG nanoplate follow a power law through the thickness. In addition, Poisson's ratio is assumed to be constant in this model. Both Winkler-type and Pasternak-type foundation models are employed to simulate the interaction of nanoplate with surrounding elastic medium. Using Hamilton's principle, size-dependent governing differential equations of motion and corresponding boundary conditions are derived. A differential quadrature approach is being utilized to discretize the model and obtain numerical solutions for various boundary conditions. The model is validated by comparing the results with other published results.

Bending analysis of power-law sandwich FGM beams under thermal conditions

  • Garg, Aman;Belarbi, Mohamed-Ouejdi;Li, Li;Tounsi, Abdelouahed
    • Advances in aircraft and spacecraft science
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    • 제9권3호
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    • pp.243-261
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    • 2022
  • Broad writing on the examination of sandwich structures mirrors the significance of incorporating thermal loadings during their investigation stage. In the current work, an endeavor has been made to concentrate on sandwich FGM beams' bending behaving under thermal loadings utilizing shear deformation theory. Temperature-dependent material properties are used during the analysis. The formulation includes the transverse displacement field, which helps better predict the behavior of thick FGM beams. Three-different thermal profiles across the thickness of the beam are assumed during the analysis. The study has been carried out on both symmetric and unsymmetric sandwich FGM beams. It has been observed that the bending behavior of sandwich FGM beams is impacted by the temperature profile to which it is subjected. Power-law exponent and thickness of core also affect the behavior of the beam.

두꺼운 디스크의 면외 진동 해석을 위한 준-해석적 환상 민드린 평판 요소 (Semi-analytical Annular Mindlin Plate Element for Out-of-plane Vibration Analysis of Thick Disks)

  • 김창부;조현석;범현규
    • 한국철도학회논문집
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    • 제15권6호
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    • pp.588-596
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    • 2012
  • 이 논문은 두꺼운 디스크의 면외 고유 진동을 유한 요소법을 사용하여 회전 관성 및 횡 전단 변형의 효과를 포함하면서 단순하고 효율적으로 정밀하게 해석할 수 있는 새로운 준-해석적 환상 민드린 평판 요소를 제시한다. 환상 민드린 평판의 평형 방정식의 정확한 해인 정적 변형 모드를 사용하여 요소의 보간 함수, 강성 및 질량 행렬은 절 직경 수에 대하여 유도되며, 이와 같은 요소는 면외 강체 운동을 정확하게 표현할 수 있고 전단 잠김이 없다. 제시된 요소를 적용하여 동심 링으로 지지되거나 지지되지 않은 균일 디스크 및 다단 디스크의 고유진동수를 해석하고, 그 결과를 선행 연구의 이론적 결과 또는 2차원 쉘 요소를 사용하여 얻어진 유한요소 해석 결과와 비교하여 제시된 요소의 수렴성 및 정확성을 조사하였다.

Dynamic analysis of nanosize FG rectangular plates based on simple nonlocal quasi 3D HSDT

  • Boutaleb, Sabrina;Benrahou, Kouider Halim;Bakora, Ahmed;Algarni, Ali;Bousahla, Abdelmoumen Anis;Tounsi, Abdelouahed;Tounsi, Abdeldjebbar;Mahmoud, S.R.
    • Advances in nano research
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    • 제7권3호
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    • pp.191-208
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    • 2019
  • In the present work the dynamic analysis of the functionally graded rectangular nanoplates is studied. The theory of nonlocal elasticity based on the quasi 3D high shear deformation theory (quasi 3D HSDT) has been employed to determine the natural frequencies of the nanosize FG plate. In HSDT a cubic function is employed in terms of thickness coordinate to introduce the influence of transverse shear deformation and stretching thickness. The theory of nonlocal elasticity is utilized to examine the impact of the small scale on the natural frequency of the FG rectangular nanoplate. The equations of motion are deduced by implementing Hamilton's principle. To demonstrate the accuracy of the proposed method, the calculated results in specific cases are compared and examined with available results in the literature and a good agreement is observed. Finally, the influence of the various parameters such as the nonlocal coefficient, the material indexes, the aspect ratio, and the thickness to length ratio on the dynamic properties of the FG nanoplates is illustrated and discussed in detail.

Static buckling analysis of bi-directional functionally graded sandwich (BFGSW) beams with two different boundary conditions

  • Berkia, Abdelhak;Benguediab, Soumia;Menasria, Abderrahmane;Bouhadra, Abdelhakim;Bourada, Fouad;Mamen, Belgacem;Tounsi, Abdelouahed;Benrahou, Kouider Halim;Benguediab, Mohamed;Hussain, Muzamal
    • Steel and Composite Structures
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    • 제44권4호
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    • pp.503-517
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    • 2022
  • This paper presents the mechanical buckling of bi-directional functionally graded sandwich beams (BFGSW) with various boundary conditions employing a quasi-3D beam theory, including an integral term in the displacement field, which reduces the number of unknowns and governing equations. The beams are composed of three layers. The core is made from two constituents and varies across the thickness; however, the covering layers of the beams are made of bidirectional functionally graded material (BFGSW) and vary smoothly along the beam length and thickness directions. The power gradation model is considered to estimate the variation of material properties. The used formulation reflects the transverse shear effect and uses only three variables without including the correction factor used in the first shear deformation theory (FSDT) proposed by Timoshenko. The principle of virtual forces is used to obtain stability equations. Moreover, the impacts of the control of the power-law index, layer thickness ratio, length-to-depth ratio, and boundary conditions on buckling response are demonstrated. Our contribution in the present work is applying an analytical solution to investigate the stability behavior of bidirectional FG sandwich beams under various boundary conditions.

직물 복합재료를 이용한 드레이핑 헬멧의 미소 변형 관찰 (Microscopic Investigation on the Micro-Deformation of Draped Helmet Structure Made of fabric Composite)

  • 장승한
    • Composites Research
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    • 제16권4호
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    • pp.29-35
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    • 2003
  • 본 논문에서는 직물 복합재료의 제조된 드레이핑 헬맷의 등가 토우 두께, 종방향 토우의 진폭, 토우 간격 등의 여러 가지 토우 파라메터들을 관찰하고, 현미경 관찰을 통해 직물 복합재료 구조의 각 방향에 따른 미세 변형을 서로 비교하였다. 또한 이러한 관찰 결과들을 동일한 토우 구조를 가지는 견직물 시편을 이용한 일방향 편향 인장실험, 이축 인장실험 결과와 비교하였으며, 오토클레이브에서 경화된 여러 가지 선형 조건을 가진 시편들과도 비교하였다. 직물 복합재료(새틴 직물 복합재료)로 제작된 드레이핑 힐멧으로부터 현미경 관찰 시편을 얻었으며, 각 시편의 종방향과 횡방향에 대해 각각 관찰하였다 관찰 결과로 부터, 토우 방향에 따른 서로 다른 변형 패턴을 확인할 수 있었으며 드레이핑 공정 중 금형의 기하학적 조건이 직물 복합재료의 변형에 미치는 영향을 확인하였다.

Experimental, numerical and analytical studies on a novel external prestressing technique for concrete structural components

  • Lakshmanan, N.;Saibabu, S.;Murthy, A. Rama Chandra;Ganapathi, S. Chitra;Jayaraman, R.;Senthil, R.
    • Computers and Concrete
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    • 제6권1호
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    • pp.41-57
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    • 2009
  • This paper presents the details of a novel external prestressing technique for strengthening of concrete members. In the proposed technique, transfer of external force is in shear mode on the end block thus creating a complex stress distribution and the required transverse prestressing force is lesser compared to conventional techniques. Steel brackets are provided on either side of the end block for transferring external prestressing force and these are connected to the anchor blocks by expansion type anchor bolts. In order to validate the technique, an experimental investigation has been carried out on post-tensioned end blocks. Performance of the end blocks have been studied for design, cracking and ultimate loads. Slip and slope of steel bracket have been recorded at various stages during the experiment. Finite element analysis has been carried out by simulating the test conditions and the responses have been compared. From the analysis, it has been observed that the computed slope and slip of the steel bracket are in good agreement with the corresponding experimental observations. A simplified analytical model has been proposed to compute load-deformation of the loaded steel bracket with respect to the end block. Yield and ultimate loads have been arrived at based on force/moment equilibrium equations at critical sections. Deformation analysis has been carried out based on the assumption that the ratio of axial deformation to vertical deformation of anchor bolt would follow the same ratio at the corresponding forces such as yield and ultimate. It is observed that the computed forces, slip and slopes are in good agreement with the corresponding experimental observations.

추가변형률 유한요소-직접적분법을 이용한 복합적층 곡선패널의 비감쇠 강제진동응답 (Undamped Forced Vibration Response of Curved Composite Panels using Enhanced Assumed Strain Finite Element-Direct Integration Method)

  • 박원태;천경식;손병직
    • 한국구조물진단유지관리공학회 논문집
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    • 제8권2호
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    • pp.247-258
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    • 2004
  • 복합적층 곡선패널의 비감쇠 강제진동문제를 해결하기 위한 쉘 요소를 제안하였다. 본 연구에서는 절점당 6개의 자유도를 갖는 4절점 EAS 쉘요소를 사용하였다. EAS 방법을 이용하여 전단잠김과 면내잠김 현상을 극복하였으며, 전단보정계수를 사용하지 않고 분포형상함수에 의해 두께방향에 따른 전단변형을 포물선으로 분포시킨 수정된 1차전단변형이론을 적용하였다. Newmark 직접적분법이 시간에 관한 운동방정식의 적분과 시간이력을 해결하기 위해 적용되었다. 곡선패널의 기하학적 조건과 화이버 보강각도 및 적층조건 등의 매개변수 변화에 따른 강제진동응답을 분석하였다.

Buckling behavior of a single-layered graphene sheet resting on viscoelastic medium via nonlocal four-unknown integral model

  • Bellal, Moussa;Hebali, Habib;Heireche, Houari;Bousahla, Abdelmoumen Anis;Tounsi, Abdeldjebbar;Bourada, Fouad;Mahmoud, S.R.;Bedia, E.A. Adda;Tounsi, Abdelouahed
    • Steel and Composite Structures
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    • 제34권5호
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    • pp.643-655
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    • 2020
  • In the present work, the buckling behavior of a single-layered graphene sheet (SLGS) embedded in visco-Pasternak's medium is studied using nonlocal four-unknown integral model. This model has a displacement field with integral terms which includes the effect of transverse shear deformation without using shear correction factors. The visco-Pasternak's medium is introduced by considering the damping effect to the classical foundation model which modeled by the linear Winkler's coefficient and Pasternak's (shear) foundation coefficient. The SLGS under consideration is subjected to compressive in- plane edge loads per unit length. The influences of many parameters such as nonlocal parameter, geometric ratio, the visco-Pasternak's coefficients, damping parameter, and mode numbers on the buckling response of the SLGSs are studied and discussed.