• Title/Summary/Keyword: normal plate

Search Result 682, Processing Time 0.027 seconds

Mechanical behaviour of FGM sandwich plates using a quasi-3D higher order shear and normal deformation theory

  • Daouadj, Tahar Hassaine;Adim, Belkacem
    • Structural Engineering and Mechanics
    • /
    • v.61 no.1
    • /
    • pp.49-63
    • /
    • 2017
  • This paper presents an original hyperbolic (first present model) and parabolic (second present model) shear and normal deformation theory for the bending analysis to account for the effect of thickness stretching in functionally graded sandwich plates. Indeed, the number of unknown functions involved in these presents theories is only five, as opposed to six or even greater numbers in the case of other shear and normal deformation theories. The present theory accounts for both shear deformation and thickness stretching effects by a hyperbolic variation of ail displacements across the thickness and satisfies the stress-free boundary conditions on the upper and lower surfaces of the plate without requiring any shear correction factor. It is evident from the present analyses; the thickness stretching effect is more pronounced for thick plates and it needs to be taken into consideration in more physically realistic simulations. The numerical results are compared with 3D exact solution, quasi-3-dimensional solutions and with other higher-order shear deformation theories, and the superiority of the present theory can be noticed.

A Study of the Characteristics for Simile Comprehension of Children with Mental Retardation (정신지체 아동의 직유 이해에 관한 연구)

  • Shin, Hu-Nam;Park, Hee-Jung;Kwon, Do-Ha
    • MALSORI
    • /
    • no.60
    • /
    • pp.85-96
    • /
    • 2006
  • The aim of the present study was to investigate a simile comprehension of children with and without mental retardation. Thirteen children with mental retardation and ten normal children with matched receptive vocabulary ability participated in the study. They were between five and eight years old in the age of receptive vocabulary. Fourteen picture plates were used and each plate consisted of three pictures. The findings were as fellows. First, children with mental retardation made significantly more errors than normal children in the comprehension of simile. Second, mental retarded children and normal children did not have a significant correlation between receptive vocabulary development and comprehension of simile. Finally, on simile interpretation type, children with mental retardation were likely to think a tenor into a vehicle because they failed to recognize the syntactic structure of simile, 'A is like B'. Thus, It is important to teach mental retarded children the syntactic structures of simile and to provide them with a variety of experience as well as to let them know an exact meaning of words.

  • PDF

Wave Absorbing Characteristics of a Horizontal Submerged Punching Plate (수평형 타공판의 소파특성)

  • 조일형
    • Journal of Korean Society of Coastal and Ocean Engineers
    • /
    • v.14 no.4
    • /
    • pp.265-273
    • /
    • 2002
  • In this paper, wave absorbing characteristics of a horizontal submerged punching plate are investigated throughout the calculation and the experiment. The punching plate with the array of circular holes can force the flow to separate and to form eddies of high vorticity and cause significant energy loss. As an analytic tool, the linear water wave theory and the eigenfunction expansion method is applied. Darcy's law that the normal velocity of the fluid passing through the punching plate is linearly proportional to the pressure difference between two sides of the punching plate is assumed. The proportional constant called the porous coefficient is deeply dependent to the porosity. To obtain the relationship between the porosity and the porous coefficient the systematic model test for the punching plates with 6 different porosities is conducted at 2-dimensional wave tank. It is found that the porous coefficient is linearly proportional to the porosity(b=57.63P-0.9717). It is also noted that the optimal porosity value is near P=0.1 and the optimal range of submergence depth is $d/h\\leq0.2$ within entire frequency range.

The use of the strain approach to develop a new consistent triangular thin flat shell finite element with drilling rotation

  • Guenfoud, Hamza;Himeur, Mohamed;Ziou, Hassina;Guenfoud, Mohamed
    • Structural Engineering and Mechanics
    • /
    • v.68 no.4
    • /
    • pp.385-398
    • /
    • 2018
  • In the present paper, we offer a new flat shell finite element. It is the result of the combination of a membrane element and a bending element, both based on the strain-based formulation. It is known that $C^{\circ}$ plane membrane elements provide poor deflection and stress for problems where bending is dominant. In addition, they encounter continuity and compliance problems when they connect to C1 class plate elements. The reach of the present work is to surmount these problems when a membrane element is coupled with a thin plate element in order to construct a shell element. The membrane element used is a triangular element with four nodes, three nodes at the vertices of the triangle and the fourth one at its barycenter. Each node has three degrees of freedom, two translations and one rotation around the normal. The coefficients related to the degrees of freedom at the internal node are subsequently removed from the element stiffness matrix by using the static condensation technique. The interpolation functions of strain, displacements and stresses fields are developed from equilibrium conditions. The plate element used for the construction of the present shell element is a triangular four-node thin plate element based on Kirchhoff plate theory, the strain approach, the four fictitious node, the static condensation and the analytic integration. The shell element result of this combination is robust, competitive and efficient.

A Coupled Analysis of Smart Plate Under Electro-Mechanical Loading Using Enhanced Lower-Order Shear Deformation Theory (개선된 저차 전단 변형 이론을 이용한 전기, 기계 하중을 받는 스마트 복합재 구조물의 연성 해석)

  • Oh, Jin-Ho;Cho, Maeng-Hyo;Kim, Jun-Sik
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.31 no.1 s.256
    • /
    • pp.121-128
    • /
    • 2007
  • Enhanced lower order shear deformation theory is developed in this study. Generally, lower order theories are not adequate to predict accurate deformation and stress distribution through the thickness of laminated plate. For the accurate prediction of detailed stress and deformation distributions through the thickness, higher order zigzag theories have been proposed. However, in most cases, simplified zigzag higher order theory requires $C_1$, shape functions in finite element implementation. In commercial FE softwares, $C_1$, shape functions are not so common in plate and shell analysis. Thus zigzag theories are useful for the highly accurate prediction of thick composite behaviors but they are not practical in the sense that they cannot be used conveniently in the commercial package. In practice, iso-parametric $C_0$ plate model is the standard model for the analysis and design of composite laminated plates and shells. Thus in the present study, an enhanced lower order shear deformation theory is developed. The proposed theory requires only $C_0$ shape function in FE implementation. The least-squared energy error between the lower order theory and higher order theory is minimized. An enhanced lower order shear deformation theory(ELSDT) in this paper is proposed for smart structure under complex loadings. The ELSDT is constructed by the strain energy transformation and fully coupled mechanical, electric loading cases are studied. In order to obtain accurate prediction, zigzag in-plane displacement and transverse normal deformation are considered in the deformation Held. In the electric behavior, open-circuit condition as well as closed-circuit condition is considered. Through the numerous examples, the accuracy and robustness of present theory are demonstrated.

Impact of viscoelastic foundation on bending behavior of FG plate subjected to hygro-thermo-mechanical loads

  • Ismail M. Mudhaffar;Abdelbaki Chikh;Abdelouahed Tounsi;Mohammed A. Al-Osta;Mesfer M. Al-Zahrani;Salah U. Al-Dulaijan
    • Structural Engineering and Mechanics
    • /
    • v.86 no.2
    • /
    • pp.167-180
    • /
    • 2023
  • This work applies a four-known quasi-3D shear deformation theory to investigate the bending behavior of a functionally graded plate resting on a viscoelastic foundation and subjected to hygro-thermo-mechanical loading. The theory utilizes a hyperbolic shape function to predict the transverse shear stress, and the transverse stretching effect of the plate is considered. The principle of virtual displacement is applied to obtain the governing differential equations, and the Navier method, which comprises an exponential term, is used to obtain the solution. Novel to the current study, the impact of the viscoelastic foundation model, which includes a time-dependent viscosity parameter in addition to Winkler's and Pasternak parameters, is carefully investigated. Numerical examples are presented to validate the theory. A parametric study is conducted to study the effect of the damping coefficient, the linear and nonlinear loadings, the power-law index, and the plate width-tothickness ratio on the plate bending response. The results show that the presence of the viscoelastic foundation causes an 18% decrease in the plate deflection and about a 10% increase in transverse shear stresses under both linear and nonlinear loading conditions. Additionally, nonlinear loading causes a one-and-a-half times increase in horizontal stresses and a nearly two-times increase in normal transverse stresses compared to linear loading. Based on the article's findings, it can be concluded that the viscosity effect plays a significant role in the bending response of plates in hygrothermal environments. Hence it shall be considered in the design.

Response characteristics and suppression of torsional vibration of rectangular prisms with various width-to-depth ratios

  • Takai, Kazunori;Sakamoto, Hiroshi
    • Wind and Structures
    • /
    • v.9 no.1
    • /
    • pp.1-22
    • /
    • 2006
  • The response characteristics and suppression of flow-induced vibrations of rectangular prisms with various width-to-depth ratios were experimentally investigated. The prisms were rigid and elastically mounted at both ends to enable constrained torsional vibrations only. The present study focused on torsional vibrations, one of the three types of flow-induced vibrations generated in a rectangular prism. First, the response characteristics of torsional vibrations generated in rectangular prisms were investigated by free-vibration tests. It was found that the response characteristics of torsional vibrations generated in rectangular prisms could be classified into six patterns depending on the width-to-depth ratio. Next, the response characteristics of torsional vibrations observed in the free-vibration tests were reproduced by forced-vibration tests, and the mechanisms by which the three types of flow-induced vibrations, low-speed torsional flutter, vortex excitation and high-speed torsional flutter, are generated in the rectangular prisms were elucidated on the basis of characteristics of fluid forces and visualized flow patterns. Experiments were also carried out to establish an effective method for suppressing flow-induced vibrations generated in the rectangular prisms, and it was found that low-speed torsional flutter and high-speed torsional flutter could be suppressed by placing a small normal plate upstream of the prism, which results in suppression of the alternating rolling-up of the shear layers separating from the leading edges of the prism. It was also found that vortex excitation could be suppressed by placing a splitter plate downstream of the prism, which results in suppression of the generation of wake vortices.

Language Development in Cleft Palate Infants (구개파열 영유아의 언어발달 특성 연구)

  • Kim, Hyo-Seon;Kim, Young-Tae;Kim, Seok-Wha
    • Speech Sciences
    • /
    • v.9 no.3
    • /
    • pp.121-131
    • /
    • 2002
  • The purpose of the present study was to investigate the characteristics of receptive and expressive language development of cleft palate infants aged under 3. Twenty-six cleft palate infants and 52 normal infants were grouped into 3 chronological age groups with 1 year intervals: less than 1, 1, and 2 years old. The cleft palate infants were divided into 2 groups: cleft palate only, and cleft lip & palate. Each mother of the infants was asked to complete the questionnaire, Sequenced Language Scale for Infants (SELSI). Receptive and Expressive language scores of SELSI were computed. The scores of receptive and expressive language were respectively analyzed into 4 categories of language: phonology/prosody, semantics, syntax, and pragmatics. The results, concerning the differences of language development between the cleft palate and the normal infants, were as follows: (1) expressive language scores were significantly different at age 2 between the cleft palate and the normal infants; (2) cleft plate groups aged less than 1 and 1 showed lower scores of phonology/prosody of expressive language than the normal groups; (3) cleft palate group aged 2 showed lower scores than the normal group in semantics, syntax, and pragmatics. The results, concerning the characteristics of language development between the cleft palate only and the cleft lip & palate infants, were as follows: (1) the scores of expressive and receptive language were not statistically different between the 2 groups; (2) both groups did not show any difference in .the scores of phonology/ prosody, semantics, syntax, and pragmatics of receptive and expressive language.

  • PDF

Insulation Characteristic of Waste Sawdust-mixing Concrete (폐톱밥 혼입 콘크리트의 단열특성에 관한 실험적 연구)

  • Hong, Seung-Ryul;Cho, Byung-Hun;Son, Ki-Sang
    • Journal of the Korean Society of Safety
    • /
    • v.20 no.2 s.70
    • /
    • pp.98-104
    • /
    • 2005
  • Saw dust concrete f3r finding out insulation characteristic was tested using test plate $30cm{\times}30cm{\times}5cm$. basically, molds f3r the test of compressive, tensile, normal without sawdust, $0.05\%,\;0.1\%,\;0.2\%,\; 0.4\%,\;0.6\%,\;0.8\%,\;1.0\%,\;1.2\%,\;1.4\%,\;1.6\%,\;1.5\%,\;2.0\%$, mixing proportion. heat conductivity of the saw dust concrete mixed with the above proportion was taken in this study. Thermal conduction of normal concrete depends on mixing proportion strength aggregate character, water content. all these items are specified here in fables. $1.8\%\~2.0\%$ saw-dust mising concrete shows as the faction as normal insulation material has its function. and the higher saw-dust mixing rate becomes, the thermal conduction becomes the less Then, the conclusions are that saw-dust using concrete has better insulation function than normal concrete.

Research on the longitudinal stress distribution in steel box girder with large cantilever

  • HONG, Yu;LI, ShengYu;WU, Yining;XU, Dailing;PU, QianHui
    • Steel and Composite Structures
    • /
    • v.44 no.5
    • /
    • pp.619-632
    • /
    • 2022
  • There are numerous structural details (Longitudinal beam, web plate, U-ribs and I-ribs) in the top and bottom plates of steel box girders, which have significant influences on the longitudinal stress (normal stress) distribution. Clarifying the influence of these structural details on the normal stress distribution is important. In this paper, the ultra-wide steel box girder with large cantilevers of the Jinhai Bridge in China, which is the widest cable-stayed bridge in the world, has been analyzed. A 1:4.5 scale laboratory model of the steel box girder has been manufactured, and the influence of structural details on the normal stress distribution in the top and bottom plates for four different load cases has been analyzed in detail. Furthermore, a three-dimensional finite element model has been established to further investigate the influence regularity of structural details on the normal stress. The experimental and finite element analysis (FEA) results have shown that different structural details of the top and bottom plates have varying effects on the normal stress distribution. Notably, the U-ribs and I-ribs of the top and bottom plates introduce periodicity to the normal stress distribution. The period of the influence of U-ribs on the normal stress distribution is the sum of the single U-rib width and the U-rib spacing, and that of the influence of I-ribs on the normal stress distribution is equal to the spacing of the I-ribs. Furthermore, the same structural details but located at different positions, will have a different effect on the normal stress distribution.