• Title/Summary/Keyword: work plate

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Finite Element Analysis for Free Vibration of Laminated Plates Containing Multi-Delamination (다층 층간분리된 적층 판의 유한요소 자유진동해석)

  • Taehyo Park;Seokoh Ma
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2003.10a
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    • pp.37-44
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    • 2003
  • In this proposed work, computational, finite element model far multi-delaminated plates will be developed. In the current analysis procedures of multi-delaminated plates, different elements are used at delaminated and undelaminated region separately. In the undelaminated region, plate element based on Mindlin plate theory is used in order to obtain accurate results of out-of-plane displacement of thick plate. And for delaminated region, plate element based on Kirchhoff plate theory is considered. To satisfy the displacement continuity conditions, displacement vector based on Kirchhoff theory is transformed to displacement of transition element. Element mass and stiffness matrices of each region (delaminated, undelaminated and transition region) will be assembled for global matrix.

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Nondestructive Evaluation of plate structures using the Ultrasonic Transducer OPMT (OPMT 초음파 트랜스듀서를 이용한 평판구조 이상진단)

  • Kim, Yoon-Young;Cho, Seung-Hyun;Lee, Ju-Seung;Sun, Kyung-Ho
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2004.11a
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    • pp.423-427
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    • 2004
  • In this work, we propose a new ultrasonic damage inspection method in plate structures. The proposed method employs an OPMT (Orientation-adjustable Patch-type Magnetostrictive Transducer) in order to make the ultrasonic waves focused on the specific target point. For experiments, virtual grid points were set up at every 50 mm in an aluminum plate and two OPMTs were used for inspection. If there exists a crack in a plate, the reflected Lamb wave from the crack is measured in addition to the direct waves from the transmitting transducer to the receiving transducer.

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Towards a reduced order model of battery systems: Approximation of the cooling plate

  • Szardenings, Anna;Hoefer, Nathalie;Fassbender, Heike
    • Coupled systems mechanics
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    • v.11 no.1
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    • pp.43-54
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    • 2022
  • In order to analyse the thermal performance of battery systems in electric vehicles complex simulation models with high computational cost are necessary. Using reduced order methods, real-time applicable model can be developed and used for on-board monitoring. In this work a data driven model of the cooling plate as part of the battery system is built and derived from a computational fluid dynamics (CFD) model. The aim of this paper is to create a meta model of the cooling plate that estimates the temperature at the boundary for different heat flow rates, mass flows and inlet temperatures of the cooling fluid. In order to do so, the cooling plate is simulated in a CFD software (ANSYS Fluent ®). A data driven model is built using the design of experiment (DOE) and various approximation methods in Optimus ®. The model can later be combined with a reduced model of the thermal battery system. The assumption and simplification introduced in this paper enable an accurate representation of the cooling plate with a real-time applicable model.

A Study on Plate Bending Analysis Using Boundary Element Method

  • Son, Jae-hyeon;Kim, Yooil
    • Journal of Ocean Engineering and Technology
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    • v.36 no.4
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    • pp.232-242
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    • 2022
  • This study presents a method for level ice-structure interaction analysis to estimate the fatigue damage of arctic structures by applying plate theory to the behavior of level ice. The boundary element method (BEM), which incurs a lower computational cost than the finite element method (FEM), was introduced to solve the plate bending problem. The BEM formulation was performed by applying the BEM to plate theory. Finally, to check the validity of the proposed method, the BEM results and FEM results obtained using the ABAQUS commercial software were compared. The response results of the BEM analysis agreed well with those of the FEM analysis. Based on the results of the analysis, the BEM approach is considered to be very powerful in level ice-structure interaction analysis for estimating level ice-induced fatigue damage. Further work is being conducted to perform level ice fracture analysis based on the stress field calculated using the boundary element method.

Analysis of laminated composite plates based on different shear deformation plate theories

  • Tanzadeh, Hojat;Amoushahi, Hossein
    • Structural Engineering and Mechanics
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    • v.75 no.2
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    • pp.247-269
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    • 2020
  • A finite strip formulation was developed for buckling and free vibration analysis of laminated composite plates based on different shear deformation plate theories. The different shear deformation theories such as Zigzag higher order, Refined Plate Theory (RPT) and other higher order plate theories by variation of transverse shear strains through plate thickness in the parabolic form, sine and exponential were adopted here. The two loaded opposite edges of the plate were assumed to be simply supported and remaining edges were assumed to have arbitrary boundary conditions. The polynomial shape functions are applied to assess the in-plane and out-of-plane deflection and rotation of the normal cross-section of plates in the transverse direction. The finite strip procedure based on the virtual work principle was applied to derive the stiffness, geometric and mass matrices. Numerical results were obtained based on various shear deformation plate theories to verify the proposed formulation. The effects of length to thickness ratios, modulus ratios, boundary conditions, the number of layers and fiber orientation of cross-ply and angle-ply laminates were determined. The additional results on the same effects in the interaction of biaxial in-plane loadings on the critical buckling load were determined as well.

Wave propagation in functionally graded plates with porosities using various higher-order shear deformation plate theories

  • Yahia, Sihame Ait;Atmane, Hassen Ait;Houari, Mohammed Sid Ahmed;Tounsi, Abdelouahed
    • Structural Engineering and Mechanics
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    • v.53 no.6
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    • pp.1143-1165
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    • 2015
  • In this work, various higher-order shear deformation plate theories for wave propagation in functionally graded plates are developed. Due to porosities, possibly occurring inside functionally graded materials (FGMs) during fabrication, it is therefore necessary to consider the wave propagation in plates having porosities in this study. The developed refined plate theories have fewer number of unknowns and equations of motion than the first-order shear deformation theory, but accounts for the transverse shear deformation effects without requiring shear correction factors. The rule of mixture is modified to describe and approximate material properties of the functionally graded plates with porosity phases. The governing equations of the wave propagation in the functionally graded plate are derived by employing the Hamilton's principle. The analytic dispersion relation of the functionally graded plate is obtained by solving an eigenvalue problem. The effects of the volume fraction distributions and porosity volume fraction on wave propagation of functionally graded plate are discussed in detail. The results carried out can be used in the ultrasonic inspection techniques and structural health monitoring.

Free vibration and buckling analyses of functionally graded annular thin sector plate in-plane loads using GDQM

  • Mohammadimehr, Mehdi;Afshari, Hasan;Salemi, M.;Torabi, K.;Mehrabi, Mojtaba
    • Structural Engineering and Mechanics
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    • v.71 no.5
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    • pp.525-544
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    • 2019
  • In the present study, buckling and free vibration analyses of annular thin sector plate made of functionally graded materials (FGMs) resting on visco-elastic Pasternak foundation, subjected to external radial, circumferential and shear in-plane loads is investigated. Material properties are assumed to vary along the thickness according to an power law with Poisson's ratio held constant. First, based on the classical plate theory (CPT), the governing equation of motion is derived using Hamilton's principle and then is solved using the generalized differential quadrature method (GDQM). Numerical results are compared to those available in the literature to validate the convergence and accuracy of the present approach. Finally, the effects of power-law exponent, ratio of radii, thickness of the plate, sector angle, and coefficients of foundation on the fundamental and higher natural frequencies of transverse vibration and critical buckling loads are considered for various boundary conditions. Also, vibration and buckling mode shapes of functionally graded (FG) sector plate have been shown in this research. One of the important obtained results from this work show that ratio of the frequency of FG annular sector plate to the corresponding values of homogeneous plate are independent from boundary conditions and frequency number.

A Fatigue Related Equation with Shape and Loading Factors Representing Effect of Thickness in Al 2024-T3 Alloy Sheet (판재 Al 2024-T3 합금재료의 두께효과를 나타내는 형상인자 및 하중인자에 의한 피로관계식)

  • Kim, Seung-Gwon;Lee, Ouk-Sub;Jang, Joo-Sup
    • Transactions of the Korean Society of Automotive Engineers
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    • v.20 no.1
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    • pp.141-146
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    • 2012
  • Aluminum alloys have been used with various thicknesses suitable for light weight of structure. It is known that the thickness effect of material is an important factor affecting fatigue crack propagation under constant fatigue stress condition. In this work, we presented the behavior of fatigue crack propagation in thin plate compared to thick plate Al 2024-T3 alloy with referred thickness effect in a correlative equation determined by the shape factor and the loading factor. We chose two factors that are used in the correlative equation with considering that the experiments were carried out under a constant fatigue stress condition. The thickness ratio of thin plate compared to thick plate and the equivalent effective stress intensity factor ratio depending on thickness were chosen as shape and loading factors. A correlative equation is utilized to determine the equivalent effective stress intensity factor range of thin plate and identify the degree of increasing phenomenon of fatigue life in thin plate compared to thick plate.

Low Velocity Impact Behavior of Metallic Sandwich Plate with a Truss Core (트러스형 내부구조를 가지는 샌드위치 판재의 저속 충격 특성 연구)

  • Jung, Chang-Gyun;Seong, Dae-Yong;Yang, Dong-Yol;Kim, Jin-Suck;Ahn, Dong-Gyu
    • Journal of the Korean Society for Precision Engineering
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    • v.23 no.10
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    • pp.80-87
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    • 2006
  • Metallic sandwich plate with a truss core has metallic inner structures which have low relative density between a pair of metal skin sheets or face sheets. In this work, low impact tests have been carried out to examine the behavior of sandwich plates with a pyramidal truss core. For the low velocity impact, the impact apparatus of drop weight type has been fabricated. From the results of the experiments, maximum energy absorption is found to happen when the upper sheet fails. The sandwich plate loses its absorption ability as soon as the inner structures have been crashed completely and optimal core thickness has existed to maximize energy absorption. Comparing the metallic sandwich plate with the monocoque plate, the absorbed energy has been improved up to 160 % and the deflection decreased by up to 76%. As a result, the metallic sandwich plate with a truss core is shown to have good material for impact resistance and energy absorption.

Porosity-dependent mechanical behaviors of FG plate using refined trigonometric shear deformation theory

  • Bekkaye, Tahar Hacen Lamine;Fahsi, Bouazza;Bousahla, Abdelmoumen Anis;Bourada, Fouad;Tounsi, Abdeldjebbar;Benrahou, Kouider Halim;Tounsi, Abdelouahed;Al-Zahrani, Mesfer Mohammad
    • Computers and Concrete
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    • v.26 no.5
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    • pp.439-450
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    • 2020
  • In this research, bending and buckling analyses of porous functionally graded (FG) plate under mechanical load are presented. The properties of the FG plate vary gradually across the thickness according to power-law and exponential functions. The material imperfection is considered to vary depending to a logarithmic function. The plate is modeled by a refined trigonometric shear deformation theory where the use of the shear correction factor is unnecessary. The governing equations of the FG plate are derived via virtual work principle and resolved via Navier solutions. The accuracy of the present model is checked by comparing the obtained results with those found in the literature. The various effects influencing the stresses, displacements and critical buckling loads of the plate are also examined and discussed in detail.