• Title/Summary/Keyword: Thick Plate

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Thermomechanical postbuckling of imperfect moderately thick plates on two-parameter elastic foundations

  • Shen, Hui-Shen
    • Structural Engineering and Mechanics
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    • v.4 no.2
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    • pp.149-162
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    • 1996
  • A postbuckling analysis is presented for a simply supported, moderately thick rectangular plate subjected to combined axial compression and uniform temperature loading and resting on a two-parameter elastic foundation. The two cases of thermal postbuckling of initially compressed plates and of compressive postbuckling of initially heated plates are considered. The initial geometrical imperfection of the plate is taken into account. The formulations are based on the Reissner-Mindlin plate theory considering the first order shear deformation effect, and including the plate-foundation interaction and thermal effect. The analysis uses a deflection-type perturbation technique to determine the buckling loads and postbuckling equilibrium paths. Numerical examples cover the performances of perfect and imperfect, moderately thick plates resting on Winkler or Pasternak-type elastic foundations. Typical results are presented in dimensionless graphical form.

Dynamic Stability Analysis of Stiffened Tapered Thick Plate with Concentrated Mass on Pasternak Foundations (Pasternak지반에 지지된 집중질량을 갖는 보강된 변단면 후판의 동적안정해석)

  • Lee, Yong-Soo;Kim, Il-Jung
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.19 no.12
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    • pp.1296-1305
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    • 2009
  • This paper has the object of investigating dynamic stability of stiffened tapered thick plate with concentrated mass on Pasternak foundation by means of finite element method and providing kinematic design data for mat of building structures. Finite element analysis of stiffened tapered thick plate is done by use of rectangular finite element with 8-nodes. In order to analysis plate which is supported on Pasternak foundation, the Winkler foundation parameter is varied with 10, 100, 1000 and the shear foundation parameter is 5, 10, concentrated mass is $0.25m_c$, $1.0m_c$, tapered ratio is 0.25, 0.5. The ratio of In-plane force to critical load is applied as $0.4\sigma_{cr},\;0.6\sigma_{cr},\;0.8\sigma_{cr}$ respectively. This paper analyzed varying tapered ratio.

Elastic Analysis of Orthotropic Rectangular Thick Plates (직교이방성 장방형 후판의 탄성이론해석)

  • Kwun, Taek-Jin
    • Journal of Korean Association for Spatial Structures
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    • v.1 no.1 s.1
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    • pp.95-108
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    • 2001
  • A system of equations is developed for the theory of bending of thick orthotropic elastic plates which takes into account the transverse shear deformability of the plate. This system of equations is of such nature that three boundary conditions can and must be prescribed along the edge of the plate, i.e. ${\omega}=0,\;M_x=0,\;M_{xy}=0\;({\omega}=0,\;M_x=0,\;M_{xy}=0)$ at simple supported edges. It can be obtained general solution that is added complementary solution ${\omega}^e$ and paticular solution ${\omega}^p$ by an assumption of solution function. In the next paper, this analytical results will be obtained for perforated thick plates.

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Problems with a popular thick plate element and the development of an improved thick plate element

  • Cheng, Y.M.;Law, C.W.
    • Structural Engineering and Mechanics
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    • v.29 no.3
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    • pp.327-349
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    • 2008
  • Some unreasonable results from the use of a popular thick plate element are discovered from the analysis of a raft foundation and a pile cap in Hong Kong. To overcome the problems, the authors have developed a new shear deformable beam which can be extended to a general quadrilateral shear deformable plate. The behaviour of this new element under several interesting cases is investigated, and it is demonstrated that the new element possesses very high accuracy under different depth/span ratios, and the results from this new element are good even for a coarse mesh.

Stability Analysis of Rectangular Plate with Concentrated Mass (집중질량을 갖는 장방형판의 안정해석)

  • 김일중;오숙경;이용수
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2004.05a
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    • pp.805-809
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    • 2004
  • This paper is for the vibration analysis of thick plate with concentrated mass on a inhomogeneous pasternak foundation. The vibration of rectangular plate on the inhomogeneous pasternak foundation, natural frequency of this plate with Concentrated Mass are calculated A thick rectangular plate resting on a inhomogeneous pasternak foundation is isotropic, homogeneous and composite with linearly elastic material. In order to analysis plate which is supported on inhomogeneous pasternak foundation, the value of winkler foundation parameter(WFP) of centural and border zone of plate are chosen as WFP1 and WFP2 respectively. The value of WFP1 and WFP2 can be changed as 10, 10$^3$ and the value of SFP(shear foundation parameter) also be changed 5, 15 respectively.

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Verification of Creation Mechanism of Turn Down Mark in the Thick Plate Mill (후판 Turn Down Mark 발생 메카니즘 규명)

  • Chung J. S.;Park H. D.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2004.08a
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    • pp.378-382
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    • 2004
  • A study was performed for verification of creation mechanism of turn down mark in thick plate. The roll mark was produced by plate bending when the front of plate was collided with roller table rolls. Various process conditions which are temperatur distribution along the thickness direction of plate, pass line, and reduction ration were investicated. These process conditions affected the amount of plate bending and were a major cause of turn down mark.

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A Study on the Effect of Transversal Warping In Thick Plate (두꺼운 판의 전단 Warping 영향에 대한 연구)

  • Lee, Sang-Gab;Choi, Won-Joon
    • Journal of the Society of Naval Architects of Korea
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    • v.33 no.1
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    • pp.77-89
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    • 1996
  • An enormous amount of efforts has been devoted to the development of finite elements for the bending problem of thick plates, especially based on Mindlin plate theory. Here, an approximate Constant Shear Angle Theory is usually used to take a transverse shear deformation of thick plate into consideration, which cannot be effectively considered the influence of transversal warping of cross-section with an increase of thickness. It might be the best way to represent the exact cross-sectional warping of the plate. The overall objective of this study is to develop a new formulation of plate including shear deformation and transversal warping, to perform extensive parametric studies comparing its results with those from Mindlin plate formulation, and to gain further insight into the influence of shear deformation and transversal warping of thick plate.

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Electro-elastic analysis of a sandwich thick plate considering FG core and composite piezoelectric layers on Pasternak foundation using TSDT

  • Mohammadimehr, Mehdi;Rostami, Rasoul;Arefi, Mohammad
    • Steel and Composite Structures
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    • v.20 no.3
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    • pp.513-543
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    • 2016
  • Third order shear deformation theory is used to evaluate electro-elastic solution of a sandwich plate with considering functionally graded (FG) core and composite face sheets made of piezoelectric layers. The plate is resting on the Pasternak foundation and subjected to normal pressure. Short circuited condition is applied on the top and bottom of piezoelectric layers. The governing differential equations of the system can be derived using Hamilton's principle and Maxwell's equation. The Navier's type solution for a sandwich rectangular thick plate with all edges simply supported is used. The numerical results are presented in terms of varying the parameters of the problem such as two elastic foundation parameters, thickness ratio ($h_p/2h$), and power law index on the dimensionless deflection, critical buckling load, electric potential function, and the natural frequency of sandwich rectangular thick plate. The results show that the dimensionless natural frequency and critical buckling load diminish with an increase in the power law index, and vice versa for dimensionless deflection and electrical potential function, because of the sandwich thick plate with considering FG core becomes more flexible; while these results are reverse for thickness ratio.

Design of Blank Support Structure for Large and Curved Thick Plate Forming (대면적 후곡판 성형을 위한 블랭크 지지구조 설계)

  • Kwak, B.S.;Yoon, M.J.;Jeon, J.Y.;Kang, B.S.;Ku, T.W.
    • Transactions of Materials Processing
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    • v.27 no.1
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    • pp.18-27
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    • 2018
  • As one of the functional metal parts in steam turbine diaphragm assembly, the hollow-partitioned turbine nozzle (stator) has large and thick geometries, as well as an asymmetric configuration. Therefore it is hard to support a metal blank in the die cavity. To ease this situation and control posture and position of metal blank (workpiece), a blank support structure is newly introduced. The blank support structure is basically composed of enlarged arms from the blank, guide pins and linear bearings. It can help to control the intermediate blank without a critical sliding phenomenon. The operation mechanism of this blank support structure, during thick plate forming for the hollow-partitioned turbine nozzle stator, is first evaluated. A series of FEM-based numerical simulations, with respect to the width of the guide arm as geometric design parameters, are carried out to investigate its applicable range. As the results, it is observed the blank support structure for this thick plate forming can guide the workpiece to have stable posture during the plate forming process.

Elastic Analysis of Orthotropic Thick Plates with Perforated Many Holes (직교 이방성 관통 다공 후판의 탄성 해석)

  • Kim, Woo-Sik;Kwun, Taek-Jin
    • Journal of Korean Association for Spatial Structures
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    • v.2 no.1 s.3
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    • pp.59-65
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    • 2002
  • The structures with many perforated openings are widely used as a load-carrying element in the fields of civil engineering works, top slab of prestressed concrete reactor vessel, petrochemical industries and the like. Perforated concrete plates are usually thick. Therefore, the effect of transverse shear deformation is not negligible. This paper describes a new analytical method of perforated plates combining both the finite element method for effective elastic constants and the usual method in solving orthotropic plate with transverse shear deformation.

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