• Title/Summary/Keyword: plate thickness

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A new 3-unknowns non-polynomial plate theory for buckling and vibration of functionally graded sandwich plate

  • Tounsi, Abdelouahed;Houari, Mohammed Sid Ahmed;Bessaim, Aicha
    • Structural Engineering and Mechanics
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    • v.60 no.4
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    • pp.547-565
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    • 2016
  • In this work a new 3-unknown non-polynomial shear deformation theory for the buckling and vibration analyses of functionally graded material (FGM) sandwich plates is presented. The present theory accounts for non-linear in plane displacement and constant transverse displacement through the plate thickness, complies with plate surface boundary conditions, and in this manner a shear correction factor is not required. The main advantage of this theory is that, in addition to including the shear deformation effect, the displacement field is modelled with only 3 unknowns as the case of the classical plate theory (CPT) and which is even less than the first order shear deformation theory (FSDT). The plate properties are assumed to vary according to a power law distribution of the volume fraction of the constituents. Equations of motion are derived from the Hamilton's principle. Analytical solutions of natural frequency and critical buckling load for functionally graded sandwich plates are obtained using the Navier solution. The results obtained for plate with various thickness ratios using the present non-polynomial plate theory are not only substantially more accurate than those obtained using the classical plate theory, but are almost comparable to those obtained using higher order theories with more number of unknown functions.

A Method to Reduce Flow Depth of a Plate Heat Exchanger without a Loss of Heat Transfer Performance (판형 열교환기의 열전달성능 손실 없이 유동방향 길이를 축소하는 방법)

  • Song Gwi-Eun;Lee Dae-Young
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.18 no.2
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    • pp.129-136
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    • 2006
  • Optimal design of an air-to-liquid finned plate heat exchanger is considered theoretically in this study. Based on existing correlations for the pressure loss and the heat transfer in channel flows, the optimal configuration of the plate heat exchanger including the optimal plate pitch and the optimal fin pitch is obtained to maximize the heat transfer within the limit of the pressure drop for a given flow depth of the plate heat exchanger. It is found that the optimal fin pitch is about one ninth of the optimal plate pitch. In the optimal configuration, the flow and thermal condition in the channels is just at the boundary between the laminar developing and laminar fully developed states. It is also found when reducing the flow depth of plate heat exchangers for compactness, the heat transfer performance can be maintained exactly the same if the geometric parameters such as the plate thickness, plate pitch, fin thickness, and fin pitch are reduced proportional to the square root of the flow depth as long as the flow keeps laminar within the heat exchangers.

Minimum Thickness of Temporary Steel Plate to Prevent Pile Driver Overturning (항타기 전도예방을 위한 임시 철판의 두께에 관한 연구)

  • Bang, Daepyung;Park, Jongyil;Kee, Junghun
    • Journal of the Korean GEO-environmental Society
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    • v.21 no.11
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    • pp.5-10
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    • 2020
  • Although pile driver overturning accidents at construction site are not frequent, most leads to serious disasters. The main cause of accidents is uneven settlement of the ground. To prevent this, related guidelines such as KOSHA-C-101-2014, KOSH-A-GUIDE-71-2012, Occupational Safety and Health Standards, and NCS stipulate the installation of steel plates over ground. However, since the required steel plate thickness considering the self-weight of pile drivers and the underlying ground condition is not quantitatively presented, it is randomly applied in the field. In this study, the required minimum steel plate thickness was analyzed based on a numerical analysis (Plaxis 2D). Settlements and soil failure were calculated according to the different type of soils (sand, clay), load distribution and steel plate thickness (10mm, 20mm, 30mm, 40mm). Under all conditions, 10mm steel plate causes soil collapse. From thickness 20mm, the ground uneven subsidence is within 2° of the allowable leader angle.

Optimum Design for Longitudinal Strength Members of Double Hull Tankers with Central Long'l Bulkhead considering Buckling Thickness Requirement of Plate Panels based on Common Structural Rules (CSR기반 좌굴 두께 요건을 고려한 이중선체유조선의 종방향 구조부재의 최적설계 연구)

  • Jo, Young-Chun;Lee, Jung-Chul;Lee, Sang-Bock;Shin, Sung-Kwang;Jang, Chang-Doo
    • Special Issue of the Society of Naval Architects of Korea
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    • 2011.09a
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    • pp.117-126
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    • 2011
  • The buckling assessment of plate panels described in common structural rules (CSR) is to be determined according to the buckling utilization factor with hull girder stresses calculated on net hull girder sectional properties. As the thickness requirement for the buckling assessment of plate panels is not explicitly given in CSR, a lot of time is spent to find the proper thickness of plate panels until reaching to an allowable buckling utilization factor. In this study, in order to reduce time and cost, the thickness requirement of plate panels satisfying buckling assessment was derived. The structural design system included with the thickness requirement for buckling assessment was developed. The system is called as Oil-tanker Automated Structural Investigation System (OASIS). The design result of longitudinal strength members using OASIS was verified by Nauticus Hull which is the rule scantling software of DNV. Finally, optimum design of a double hull tanker for the minimum weight using OASIS was presented.

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Thermal stability of functionally graded sandwich plates using a simple shear deformation theory

  • Bouderba, Bachir;Houari, Mohammed Sid Ahmed;Tounsi, Abdelouahed;Mahmoud, S.R.
    • Structural Engineering and Mechanics
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    • v.58 no.3
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    • pp.397-422
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    • 2016
  • In the present work, a simple first-order shear deformation theory is developed and validated for a variety of numerical examples of the thermal buckling response of functionally graded sandwich plates with various boundary conditions. Contrary to the conventional first-order shear deformation theory, the present first-order shear deformation theory involves only four unknowns and has strong similarities with the classical plate theory in many aspects such as governing equations of motion, and stress resultant expressions. Material properties and thermal expansion coefficient of the sandwich plate faces are assumed to be graded in the thickness direction according to a simple power-law distribution in terms of the volume fractions of the constituents. The core layer is still homogeneous and made of an isotropic material. The thermal loads are considered as uniform, linear and non-linear temperature rises within the thickness direction. The results reveal that the volume fraction index, loading type and functionally graded layers thickness have significant influence on the thermal buckling of functionally graded sandwich plates. Moreover, numerical results prove that the present simple first-order shear deformation theory can achieve the same accuracy of the existing conventional first-order shear deformation theory which has more number of unknowns.

Application of Narrow Steel Box Girder Bridge of Light Rail Transit with HR Plate (HR Plate의 경량전철 협폭박스거더교 적용)

  • Park, Dae-Su;Hwang, Nak-Yuen;Jung, Kyoung-Sup;Lee, Seong-Haeng
    • Proceedings of the KSR Conference
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    • 2006.11b
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    • pp.365-375
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    • 2006
  • The HR Plates made hot rolled coils is lower than general structural steel plates in price. No difference between general steel plates and HR Plates with thickness up to 22mm are found in most characters such as cutting operation, fabrication and even welding. It can be concluded that HR Plates with thickness up to 22mm can be applied to flanges and webs of any girders as well as longitudinal ribs, longitudinal and vertical stiffeners of steel bridges appropriately. To increase the demand of HR Plates with thickness up to 22mm, it is necessary that HR Plates is applicable to full member in steel bridge including main girder.In this study, availabilities of the narrow steel box girder of light railway transit with HR Plate width as a main member are discussed. For application of HR Plate to steel bridge with 50m span or more, new support systems in three types are presented. Computational analysis is performed in 15 bridge models of light railway transit with beam element and plate element. As a analysis results, three models in light railway transit are presented. We finally come to the conclusion that HR Plates can be apply to narrow steel box girder in the light railway transit.

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System Development and Fundamental Study of CCD Camera Based Electronic Portal Imaging Device (CCD Camera 기반 실시간 방사선치료조사면 검증 시스템 개발 및 화질개선을 위한 기초연구)

  • Jang, Gi-Won;Park, Ji-Koon;Lee, Dong-Gil;Kim, Jin-Yeong;Nam, Sang-Hee;Ha, Sung-Whan
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2003.11a
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    • pp.380-383
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    • 2003
  • The purpose of this study is to develope prototype EPID system and improve image quality of radiation therapy field imaging system using CCD camera. For this research we used Linac(Clinac 4/100), Copper metal plate, $Gd_2O_2S_2$ phosphor and CCD camera(Photronic). In this study we find best thickness of buil-up metal plate and acquired projection image of humanoid head phantom. Also we enhanced raw image data using superposition and histogram stretching method. Through the thickness optimized of metal plate and image processing, we confirmed of an improved image quality of an EPID system using CCD camera. As result, highest quality image was acquired at 1mm thickness of Copper metal plate and improved image quality by image processing methods.

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Dynamic and wave propagation investigation of FGM plates with porosities using a four variable plate theory

  • Bennai, Riadh;Fourn, Hocine;Atmane, Hassen Ait;Tounsi, Abdelouahed;Bessaim, Aicha
    • Wind and Structures
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    • v.28 no.1
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    • pp.49-62
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    • 2019
  • In this paper, an analytical analysis for the study of vibratory behavior and wave propagation of functionally graded plates (FGM) is presented based on a high order shear deformation theory. The manufacture of these plates' defects can appear in the form of porosity. This latter can question and modify the global behavior of such plates. A new shape of the distribution of porosity according to the thickness of the plate was used. The field of displacement of this theory is present of indeterminate integral variables. The modulus of elasticity and the mass density of these plates are assumed to vary according to the thickness of the plate. Equations of motion are derived by the principle of minimization of energies. Analytical solutions of free vibration and wave propagation are obtained for FGM plates simply supported by integrating the analytic dispersion relation. Illustrative examples are given also to show the effects of variation of various parameters such as(porosity parameter, material graduation, thickness-length ratio, porosity distribution) on vibration and wave propagation of FGM plates.

Investigation on thermal buckling of porous FG plate resting on elastic foundation via quasi 3D solution

  • Mekerbi, Mohamed;Benyoucef, Samir;Mahmoudi, Abdelkader;Bourada, Fouad;Tounsi, Abdelouahed
    • Structural Engineering and Mechanics
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    • v.72 no.4
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    • pp.513-524
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    • 2019
  • The present article deals with thermal buckling of functionally graded plates with porosity and resting on elastic foundation. The basic formulation is based on quasi 3D theory. The present theory contains only four unknowns and also accommodates the thickness stretching effect. Porosity-dependent material coefficients of the plate are compositionally graded throughout the thickness according to a modified micromechanical model. Different patterns of porosity distributions are considered. The thermal loads are assumed to be uniform, linear and non-linear temperature rises through the thickness direction. The plate is assumed to be simply supported on all edges. Various numerical examples are given to check the accuracy and reliability of the present solution, in which both the present results and those reported in the literature are provided. In addition, several numerous new results for thick FG plates with porosity are also presented.

Buckling and free vibration analysis of multi-directional functionally graded sandwich plates

  • Ali, Alnujaie;Atteshamuddin S., Sayyad;Lazreg, Hadji;Abdelouahed, Tounsi
    • Structural Engineering and Mechanics
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    • v.84 no.6
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    • pp.813-822
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    • 2022
  • In this article, the buckling and free vibration of multi-directional FGM sandwich plates are investigated. The material properties of FGM sandwich plates are assumed to be varying continuously in the in the longitudinal, transverse and thickness directions. The material properties are evaluated based on Voigt's micro-mechanical model considering power law distribution method with arbitrary power index. Equations of motion for the buckling and vibration analysis of multi-directional FGM sandwich plate are obtained based on refined shear deformation theory. Analytical solution for simply supported multidirectional FGM sandwich plate is carried out using Navier's solution technique. The FGM sandwich plate considered in this work has a homogeneous ceramic core and two functionally graded face sheets. Influence of volume fraction index in the longitudinal, transverse and thickness direction, layer thickness, and geometrical parameter over natural frequency and critical buckling load of multi-directional FGM sandwich plate is investigated. The finding shows a multi-directional functionally graded structures perform better compared to uni-directional gradation. Hence, critical grading parameters have been identified which will guide researchers in selecting fabrication routes for improving the performance of such structures.