• Title/Summary/Keyword: Mindlin-Reissner Plate

Search Result 51, Processing Time 0.238 seconds

A Four-Node Assumed Strain Plate Element for Explicit Dynamic Transient Analysis (명시적인 동적 시간이력해석을 한 사절점 가변형도 평판요소)

  • 이상진
    • Journal of the Computational Structural Engineering Institute of Korea
    • /
    • v.14 no.3
    • /
    • pp.349-359
    • /
    • 2001
  • An enhanced four-node plate element, which has been developed for explicit dynamic analysis of plate, is described in this paper. Reissner-Mind1in(RM) assumptions are adopted to consider transverse shear deformation effects in the present plate element. RM plate element produces a shear locking phenomena in thin plate so that the substitute natural strains based on assumed strain method are explicitly derived. The present plate element is applied into the explicit transient algorithm and the mass matrix of plate is formulated by using special lumping method proposed by Hinton et al. The performance of the element is verified with numerical examples.

  • PDF

Analytical Study on Punching Shear of Reinforced Concrete Flat Plates (철근콘크리트 플랫 플레이트의 뚫림전단 거동에 관한 해석적 연구)

  • Kim, Min-Sook;Lee, Young-Hak;Kim, Hee-Cheul
    • Journal of the Computational Structural Engineering Institute of Korea
    • /
    • v.23 no.4
    • /
    • pp.409-415
    • /
    • 2010
  • A finite element model for punching shear of flat plate structures is presented. A parametric study also has been conducted to verification of influence of several parameters in terms of the flexural reinforcement ratio, slab thickness. Reisnner-Mindlin assumptions are adopted to consider of shear deformation. Layered shell element is considered for the material non-linearities. The finite element model of this study was verified comparing with existing experimental results. The model is able to predict the capacity of the flat plate structures. The punching shear of flat plate structures varied depending on the flexural reinforcement ratio, slab thickness.

Simulation of Woody Leaf Netted Venation Based on Optimization Technique (최적화기법에 의한 나뭇잎 그물맥 시뮬레이션)

  • Chen, Lei;Li, Weizheng;Jang, Gang Won;Baek, Tae Hyun
    • Transactions of the Korean Society of Mechanical Engineers B
    • /
    • v.37 no.4
    • /
    • pp.323-329
    • /
    • 2013
  • This study attempts to simulate the structure of a woody leaf netted venation system by using topology optimization techniques. Based on finite element method (FEM) analysis of an incompressible fluid, a topology optimal design is applied to those woody leaf netted venation models. To solve the transverse shear locking problem of a thin plate caused by the Mindlin-Reissner plate model where a leaf netted venation is assumed to be a thin plate, a P1-nonconforming element and selective reduced integration are employed. Topology optimal design is applied to multiple physical domains. Combined with the Darcy-Stokes flow problems and extended to the optimal design of fluid channels, the multiple physical models of the flow system are analyzed and venation patterns of leafs are simulated. The calculated optimal shapes are compared with the natural shapes of woody leaf venation patterns. This interdisciplinary approach may improve our understanding of the leaf venation system.

Closed form solutions for element equilibrium and flexibility matrices of eight node rectangular plate bending element using integrated force method

  • Dhananjaya, H.R.;Pandey, P.C.;Nagabhushanam, J.;Othamon, Ismail
    • Structural Engineering and Mechanics
    • /
    • v.40 no.1
    • /
    • pp.121-148
    • /
    • 2011
  • Closed form solutions for equilibrium and flexibility matrices of the Mindlin-Reissner theory based eight-node rectangular plate bending element (MRP8) using Integrated Force Method (IFM) are presented in this paper. Though these closed form solutions of equilibrium and flexibility matrices are applicable to plate bending problems with square/rectangular boundaries, they reduce the computational time significantly and give more exact solutions. Presented closed form solutions are validated by solving large number of standard square/rectangular plate bending benchmark problems for deflections and moments and the results are compared with those of similar displacement-based eight-node quadrilateral plate bending elements available in the literature. The results are also compared with the exact solutions.

Vibration and Buckling Analysis of Laminated Composite Plates using RM Isogeometric General Plate Element (RM 등기하 판요소를 이용한 적층판의 자유진동 및 선형좌굴 해석)

  • Kim, Ha-Ryong;Lee, Sang-Jin
    • Journal of Korean Association for Spatial Structures
    • /
    • v.14 no.2
    • /
    • pp.59-68
    • /
    • 2014
  • A study on the vibration and buckling analyses of laminated composite plates is described in this paper. In order to carry out the analyses of laminated composite plates, a NURBS-based isogeometric general plate element based on Reissner-Mindlin (RM) theory is developed. The non-uniform rational B-spline (NURBS) is used to represent the geometry of plate and the unknown displacement field and therefore, all terms required in this element formulation are consistently derived by using NURBS basis function. Numerical examples are conducted to investigate the accuracy and reliability of the present plate element. From numerical results, the present plate element can produce the isogeometric solutions with sufficient accuracy. Finally, the present isogeometric solutions are provided as future reference solutions.

Static and harmonic analysis of moderately thick square sandwich plate using FEM

  • Manoj Nawariya;Avadesh K. Sharma;Pankaj Sonia;Vijay Verma
    • Advances in materials Research
    • /
    • v.12 no.2
    • /
    • pp.83-100
    • /
    • 2023
  • In this paper, sandwich plate, constructed with orthotropic and isotropic composite materials, is analyzed to obtain the static and harmonic behavior. The analysis is done by using ANSYS APDL FEM tool. A solid-shell 190 and an 8-node solid 185 elements are employed for face and core material respectively to analyze the plate. Results was attained by using Reissner-Mindlin theory. Effect of increasing thickness ratio of face sheet to depth of the plate is presented on static, vibration and harmonic response on the sheet and the results are discussed briefly. Published work in open domain was used to validate the results and observed excellent agreement. It can be stated that proposed model presents results with remarkable accuracy. Results are obtained to reduce the weight of the plate and minimizing the vibration amplitudes.

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

  • Shen, Hui-Shen
    • Structural Engineering and Mechanics
    • /
    • v.4 no.2
    • /
    • pp.149-162
    • /
    • 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.

Theoretical equivalence and numerical performance of T3γs and MITC3 plate finite elements

  • Katili, Andi Makarim;Maknun, Imam Jauhari;Katili, Irwan
    • Structural Engineering and Mechanics
    • /
    • v.69 no.5
    • /
    • pp.527-536
    • /
    • 2019
  • This paper will compare $T3{\gamma}_s$ and MITC3 elements, both these two elements are three-node triangular plate bending elements with three degrees of freedom per node. The formulation of the $T3{\gamma}_s$ and MITC3 elements is rather simple and has already been widely used. This paper will prove that the shear strain formulation of these two elements is identical even though they are obtained from two different methods. A single element is used to test the formulation of shear strain matrices. Numerical tests for circular plate cases compared with the exact solutions and with DKMT element will complete this review to verify the performances and show the convergence of these two elements.

A study on transverse vibration characteristics of a sandwich plate with asymmetrical faces

  • Ahn, Namshik;Lee, Kangsu
    • Structural Engineering and Mechanics
    • /
    • v.40 no.4
    • /
    • pp.501-515
    • /
    • 2011
  • Sandwich elements have high flexural rigidity and high strength per density. They also have excellent anti-vibration and anti-noise characteristics. Therefore, they are used for structures of airplanes and high speed ships that must be light, as well as strong. In this paper, the Reissner-Mindlin's plate theory is studied from a Hamilton's principle point of view. This theory is modified to include the influence of shear deformation and rotary inertia, and the equation of motion is derived using energy relationships. The theory is applied to a rectangular sandwich model which has isotropic, asymmetrical faces and an isotropic core. Investigations are conducted for five different plate thicknesses. These plates are identical to the sandwich plates currently used in various structural elements of surface effect ships (SES). The boundary conditions are set to simple supports and fixed supports. The elastic and shear moduli are obtained from the four-point bending tests on the sandwich beams.

Buckling Analysis of Rectangular Plates using an Enhanced 9-node Element

  • LEE, Sang Jin
    • Architectural research
    • /
    • v.18 no.3
    • /
    • pp.113-120
    • /
    • 2016
  • The stability and resistance of the plates under in-plane loading is crucial in the design of structures. For the assessment of structural stability, it is necessarily required to have accurate finite element technologies. Therefore, the enhanced 9-node plate (Q9-ANS) element is introduced for the linear buckling analysis of plate where the critical buckling load has to be determined. The Q9-ANS is developed with the Reissner-Mindlin (RM) assumptions which consider transverse shear deformation of the plate. Assumed shear strain is used to alleviate the shear locking phenomenon. Numerical examples are carried out to verify the performance of the Q9-ANS element in calculation of critical buckling load of the plates.