• 제목/요약/키워드: Plate Bending

검색결과 1,034건 처리시간 0.023초

절판 구조물의 해석을 위한 8절점 평면 첼 요소의 개발 (Development of 8-node Flat Shell Element for the Analysis of Folded Plate Structures)

  • 최창근;한인선
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1999년도 봄 학술발표회 논문집
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    • pp.234-241
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    • 1999
  • In this study, an improved 8-node flat shell element is presented for the analysis of shell structure, by combining 8-node membrane element with drilling degree-of-freedom and 8-node plate bending element based on the recently presented technique. Firstly, 8-node membrane element designated as CLM8 is presented in this paper. The element has drilling degree-of.freedom in addition to transitional degree-of-freedom. Therefore the element possesses 3 degrees-of-freedom per each node which as well as the improvement of the element behavior, permits an easy connection to other element with rotational degree-of -freedom. Secondly. 8-node flat shell element was composed by adding 8-node Mindlin plate bending element to the membrane element. The behavior of the introduced plate bending element is further improved by combined use of nonconforming displacement modes, selectively reduced integration scheme and assumed shear strain fields. The element passes in the patch test, doesn't show spurious mechanism and doesn't produce shear locking phenomena. Finally, Numerical examples are presented to show the performance of flat shell element developed in the present study.

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Electro-elastic analysis of piezoelectric laminated plates

  • Zhao, Minghao;Qian, Caifu;Lee, S.W.R.;Tong, Pin;Suemasu, H.;Zhang, Tong-Yi
    • Advanced Composite Materials
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    • 제16권1호
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    • pp.63-81
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    • 2007
  • Based on the Kirchhoff hypothesis of normal-remain-normal, the present work analyses piezoelectric laminated plates, wherein poled piezoelectric laminae are transversely isotropic and function as actuators. A quadric electric field is induced inside a piezoelectric lamina under a given applied voltage and mechanical bending. The governing equations for the piezoelectric laminated plate derived from the principle of virtual work in terms of the electric enthalpy have the same forms as those for a conventional composite laminated plate. We use rectangular sandwich plates of Al/PZT/Al and PZT/Al/PZT with four simply supported edges to demonstrate the prediction of the maximum bending stress in the PZT layer. The analytic solutions are verified by three-dimensional finite element analysis.

The Bending Analysis of Three Phase Polymer Composite Plate Reinforced by Glass Fiber and Titanium Oxide Particles Including Creep Effect

  • Duc, Nguyen Dinh;Minh, Dinh Khac;VanThu, Pham
    • International Journal of Aeronautical and Space Sciences
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    • 제11권4호
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    • pp.360-365
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    • 2010
  • Three phase composite materials are widely used in the shipbuilding industry. When reinforced with fiber and particle, the physical and mechanical properties of polymer composite materials are improved. This paper presents the bending analysis of a three phase composite plate with an epoxy matrix, reinforced glass fiber and titanium oxide particles including creep effect when shear stress is taken into account. The obtained results indicate that creep strains lead to compression in the composite material. Introducing reinforced fibers and particles reduces the plate's deflection, when increasing the stretch coefficient allows the calculation of creep deflection during a long loading period.

후판 압연공정에서 선단부 굽힘 예측을 위한 롤 바이트 형상맵 기법에 관한 연구 (A Roll-Bite Profile Map Approach for the Prediction of Front End Bending in Plate Rolling)

  • 변상민;이재현;김상록
    • 소성∙가공
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    • 제20권4호
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    • pp.284-290
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    • 2011
  • The front end bending(FEB) behavior of material that usually occurs in plate rolling is investigated. In this paper, a rollbite profile map approach that systematically predicts the FEB slope is presented. It is based on the concurrent use of shape factors and reduction ratios to ensure an accurate value of the FEB and its slope. In order to obtain the unit roll-bite profile map, the FEB slope model was decomposed into a temperature deviation component and a roll-velocity deviation component. By mapping the results of a series of finite element analyses to the unit functions of the roll-bite profile map, it was possible to obtain a realistic prediction of the FEB slope applicable to an actual plate rolling process. Thereby, the usefulness of the present approach is clearly demonstrated.

Automatic generation of equilibrium and flexibility matrices for plate bending elements using Integrated Force Method

  • Dhananjaya, H.R.;Nagabhushanam, J.;Pandey, P.C.
    • Structural Engineering and Mechanics
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    • 제30권4호
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    • pp.387-402
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    • 2008
  • The Integrated Force Method (IFM) has been developed in recent years for the analysis of civil, mechanical and aerospace engineering structures. In this method all independent or internal forces are treated as unknown variables which are calculated by simultaneously imposing equations of equilibrium and compatibility conditions. The solution by IFM needs the computation of element equilibrium and flexibility matrices from the assumed displacement, stress-resultant fields and material properties. This paper presents a general purpose code for the automatic generation of element equilibrium and flexibility matrices for plate bending elements using the Integrated Force Method. Kirchhoff and the Mindlin-Reissner plate theories have been employed in the code. Paper illustrates development of element equilibrium and flexibility matrices for the Mindlin-Reissner theory based four node quadrilateral plate bending element using the Integrated Force Method.

적층각도에 따른 CFRP 평판에서의 굽힘으로 발생한 크랙 파손에 관한 해석적 연구 (Analysis Study on the Damage of Crack Happening with the Bending at CFRP Plate due to Stacking Angle)

  • 황규완;조재웅
    • 한국융합학회논문지
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    • 제8권3호
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    • pp.185-190
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    • 2017
  • 본 논문은 탄소섬유로 구성된 평판형태의 시험편에 굽힘 모멘트가 작용할 때 내부의 섬유구조에서 발생되는 굽힘 응력과 전단응력, 변형에너지에 관한 것이다. CFRP는 무수히 많은 섬유가 다축구조를 형성하고 있어 굽힘조건에서 응력을 효과적으로 분산할 수 있다. 이때 적층각도에 따라 다양한 물성을 보이게 되는데, 섬유의 수평방향인 Stacking angle $0^{\circ}$에서부터 수직방향인 $90^{\circ}$에 이르기까지의 결과에 있어, Stacking angle이 증가함에 따라 등가 응력과 전단응력이 점차 줄어들며 $60^{\circ}$를 기점으로 다시 증가함을 보이고 있다. 본 연구결과를 토대로,적층각도에 따른 평판에서의 굽힘으로 인한 파손특성을 해석적 접근을 통해 고찰하였으며, 본연구는 파손방지와 내구성 향상을 위한 안전설계에 기여할 수 있다고 사료된다. 또한 평판 형상으로서의 디자인적 요소를 융합기술에 접목함으로서 그 미적인 감각을 나타낼 수 있다.

Inelastic buckling and post-buckling behavior of gusset plate connections

  • Hadianfard, Mohammad Ali;Khakzad, Ali Reza
    • Steel and Composite Structures
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    • 제22권2호
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    • pp.411-427
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    • 2016
  • In this study, by using finite element non-linear static analysis and comparing it with experimental models, the buckling and post-buckling behavior of bracing gusset plates has been investigated. The effects of such parameters as dimension and thickness of the gusset plate and the influence of position of the bracing member on the behavior of gusset plate have been examined. The results of the analyses clearly suggest that capacity, buckling and post-buckling behaviors of gusset plates depend on the position of the bracing splice plate with respect to the free bending line as well as on the size and thickness of the gusset plate. Also, with respect to numerical analysis results, some practical graphs for the calculation of buckling capacity of gusset plate connections are presented. For steel structures, the proposed method is apparently more accurate than available code procedures.

Axisymmetric bending of a circular plate with stiff edge on a soft FGM layer

  • Volkov, Sergey S.;Litvinenko, Alexander N.;Aizikovich, Sergey M.;Wang, Yun-Che;Vasiliev, Andrey S.
    • Structural Engineering and Mechanics
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    • 제59권2호
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    • pp.227-241
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    • 2016
  • A circular plate with constant thickness, finite radius and stiff edge lying on an elastic halfspace is considered. The half-space consists of a soft functionally graded (FGM) layer with arbitrary varying elastic properties and a homogeneous elastic substrate. The plate bends under the action of arbitrary axisymmetric distributed load and response from the elastic half-space. A semi-analytical solution for the problem effective in whole range of geometric (relative layer thickness) and mechanical (elastic properties of coating and substrate, stiffness of the plate) properties is constructed using the bilateral asymptotic method (Aizikovich et al. 2009). Approximated analytical expressions for the contact stresses and deflections of the plate are provided. Numerical results showing the qualitative dependence of the solution from the initial parameters of the problem are obtained with high precision.

비적합 변위모드를 이용한 4절점 평판휨요소의 개발 (Development of 4-node Plate Bending Element using Nonconforming Displacement Modes)

  • 박용명;최창근
    • 전산구조공학
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    • 제10권2호
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    • pp.179-188
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    • 1997
  • 본 논문에서는 평판 구조물의 효율적인 해석을 위한 4절점 평판휨 요소를 개발하였다. 이 요소는 전단변형을 고려하기 위해 Mindlin평판이론에 의하여 유도하였다. 평판휨 문제에서 4절점요소와 같은 저차의 등매개변수 Mindlin평판요소는 전단강성을 실제보다 강하게 평가하기 때문에 얇은 평판에서는 요소의 기능을 발휘하지 못한다. 이러한 문제점을 극복하기 위해 4절점 요소에 5개의 비적합변위모드를 추가함으로써 개선된 결과를 얻을 수 있었으며, 개발된 요소는 유사영에너지모드를 발생시키지 않는다. 아주 얇은 평판에서도 요소의 형상과 무관하게 전단구속현상을 극복하였으며, 예제 해석으로부터 변위의 신속한 수렴성과 단면력의 분포가 양호한 결과를 얻을 수 있었다. 또한 요소형상비가 매우 큰 경우에도 좋은 결과를 얻을 수 있었다.

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Analytical solution for bending analysis of soft-core composite sandwich plates using improved high-order theory

  • Kheirikhah, M.M.;Khalili, S.M.R.;Fard, K. Malekzadeh
    • Structural Engineering and Mechanics
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    • 제44권1호
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    • pp.15-34
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    • 2012
  • In the present paper, an improved high-order theory is used for bending analysis of soft-core sandwich plates. Third-order plate assumptions are used for face sheets and quadratic and cubic functions are assumed for transverse and in-plane displacements of the orthotropic soft core. Continuity conditions for transverse shear stresses at the interfaces as well as the conditions of zero transverse shear stresses on the upper and lower surfaces of the plate are satisfied. Also, transverse flexibility and transverse normal strain and stress of the orthotropic core are considered. The equations of motion and boundary conditions are derived by principle of minimum potential energy. Analytical solution for bending analysis of simply supported sandwich plates under various transverse loads are presented using Navier's solution. Comparison of the present results with those of the three-dimensional theory of elasticity and some plate theories in the literature confirms the accuracy of the proposed theory.