• Title/Summary/Keyword: analytical properties

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Analytical investigation of bending response of FGM plate using a new quasi 3D shear deformation theory: Effect of the micromechanical models

  • Bouiadjra, Rabbab Bachir;Mahmoudi, Abdelkader;Benyoucef, Samir;Tounsi, Abdelouahed;Bernard, Fabrice
    • Structural Engineering and Mechanics
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    • v.66 no.3
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    • pp.317-328
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    • 2018
  • In this paper, a new refined quasi-three-dimensional (3D) shear deformation theory for the bending analysis of functionally graded plate is presented. The number of unknown functions involved in this theory is only four against five or more in the case of the other shear and normal deformation theories. Due to its quasi-3D nature, the stretching effect is taken into account in the formulation of governing equations. In addition, the effect of different micromechanical models on the bending response of these plates is studied. Various micromechanical models are used to evaluate the mechanical characteristics of the FG plates whose properties vary continuously across the thickness according to a simple power law. The present theory accounts for both shear deformation and thickness stretching effects by a parabolic variation of displacements across the thickness, and the zero traction boundary conditions on the top and bottom surfaces of the plate without using shear correction factors. The problem is solved for a plate simply supported on its edges and the Navier solution is used. The results of the present method are compared with others from the literature where a good agreement has been found. A detailed parametric study is presented to show the effect of different micromechanical models on the flexural response of a simply supported FG plates.

Bending behaviour of FGM plates via a simple quasi-3D and 2D shear deformation theories

  • Youcef, Ali;Bourada, Mohamed;Draiche, Kada;Boucham, Belhadj;Bourada, Fouad;Addou, Farouk Yahia
    • Coupled systems mechanics
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    • v.9 no.3
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    • pp.237-264
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    • 2020
  • This article investigates the static behaviour of functionally graded (FG) plates sometimes declared as advanced composite plates by using a simple and accurate quasi-3D and 2D hyperbolic higher-order shear deformation theories. The properties of functionally graded materials (FGMs) are assumed to vary continuously through the thickness direction according to exponential law distribution (E-FGM). The kinematics of the present theories is modeled with an undetermined integral component and satisfies the free transverse shear stress conditions on the top and bottom surfaces of the plate; therefore, it does not require the shear correction factor. The fundamental governing differential equations and boundary conditions of exponentially graded plates are derived by employing the static version of principle of virtual work. Analytical solutions for bending of EG plates subjected to sinusoidal distributed load are obtained for simply supported boundary conditions using Navier'is solution procedure developed in the double Fourier trigonometric series. The results for the displacements and stresses of geometrically different EG plates are presented and compared with 3D exact solution and with other quasi-3D and 2D higher-order shear deformation theories to verify the accuracy of the present theory.

Vibration Analysis of Frame Structural Systems by the Receptance Method (Receptance 방법에 의한 골조구조계의 진동해석)

  • S.Y. Han;K.C. Kim
    • Journal of the Society of Naval Architects of Korea
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    • v.28 no.2
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    • pp.174-186
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    • 1991
  • There exist many frame structural systems which may be regarded as a combined structural system composed of beam/bar elements and attachments reducible to damped spring-mass systems. In this paper, analytical methods based on the receptance for the vibration analysis of such a system are presented. For the free vibration analysis and response calculations to point excitations, receptances of a uniform Timoshenko beam and a bar are derived in closed and spectral forms, and the method to obtain the system receptance by synthesizing the receptances of the elements and other subsystems is presented. The system damping property is also obtainable by sysnthesizing the components' damping properties. For calculations of the system responses to support motion, the Support Displacement Transfer Ratio(SDTR) of a uniform Timoshenko beam and a bar conceptually similar to the receptance is defined, and the method of synthesizing them with other subsystems' receptances is also presented. Such a method is very convenient especially in dynamic reanalysis subject to changes of some design variables.

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Structure Analysis of Liquid Crystal Emulsions Using X-ray Scattering Analysis (X선 산란분석법을 이용한 액정에멀젼 구조분석)

  • Park, So Hyun;Kim, Su Ji;Noh, Min Joo;Lee, Jun Bae;Park, Soo Nam
    • Journal of the Society of Cosmetic Scientists of Korea
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    • v.42 no.3
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    • pp.297-302
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    • 2016
  • In this study, we prepared liquid crystal emulsions composed of $C_{12-20}$ alkyl glucoside, $C_{14-22}$ alcohol, and behenyl alcohol and performed structure analysis using various analytical equipment. First, as an important characteristic of liquid crystal emulsions, maltese cross patterns and multi-layer structure were observed by a polarized microscope and cryo-SEM. Also, formation of liquid crystal phase was confirmed by DSC and multi-layer lamellar structure having an interlayer spacing approximately $305{\AA}$ was confirmed by small angle x-ray scattering (SAXS). The alkyl chain arrangement formed orthorhombic structure of a lamellar structure of the liquid crystal emulsion was confirmed by wide angle x-ray scattering (WAXS). These results suggest that information on the various physical properties obtained through the research of liquid crystal emulsion structure is expected to be widely used in cosmetics development in the future.

A Novel Acid-Base Catalyzed Sol-Gel Synthesis of Highly Active Mesoporous TiO2 Photocatalysts

  • Khan, Romana;Kim, Sun-Woo;Kim, Tae-Jeong;Lee, Hyo-Sun
    • Bulletin of the Korean Chemical Society
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    • v.28 no.11
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    • pp.1951-1957
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    • 2007
  • A new synthetic strategy based on the acid-base catalyzed sol-gel method was developed for the preparation of a series of mesoporous TiO2 nanoparticles. A key feature of the method involves a gradual change in pH (0.8- 9) during the sol-gel transition, which guarantees easy introduction of mesoporosity without relying on the well-established sonochemical or template approach. In addition, this method leads to the exclusive formation of the anatase phase stable enough to the calcination temperature up to 600 oC. The physicochemical properties of the particles in the series were characterized by various spectroscopic and analytical techniques such as wide-angle XRD, SAXRD, BET surface area, FE-SEM, TEM, FT-IR, TGA, and XPS. The photocatalytic efficiency of these materials was investigated for the oxidation of toluene under UV-irradiation. All but T-ad in the series exhibited high photocatalytic activity pushing the reaction into completion within 3 h. The reaction followed the first order kinetics, and the rate reaches as high as 3.9 × 10?2/min which exceeds the one with the commercially available Degussa P-25 by a factor of 3.2. When comparison is made among the catalysts, the reactivity increases with increase in the calcination temperature which in turn increases the crystallinity of the anatase phase, thus revealing the following rate orders: T-3 < T-4 < T-5 < T-6.

Numerical Simulation for the Variation of the Fiber Orientation Distribution according to the Flow of High-Flow Steel-Fiber Reinforced Mortar (고유동 강섬유보강 모르타르의 유동에 따른 섬유의 방향성 분포특성 변화의 예측)

  • Kang, Su-Tae;Kim, Jin-Keun
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.22 no.6
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    • pp.639-646
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    • 2009
  • High-flow steel-fiber reinforced mortar may induce a certain fiber orientation distribution in the process of placing and thus have an influence on the tensile properties. In this paper, the variation of the fiber orientation distribution according to the flow of high-flow steel-fiber reinforced mortar was estimated in numerical simulation. The analytical results present that the major variation of fiber orientation distribution is made within 150mm of flow distance, thereafter the tendency of the fiber orientation distribution is not noticeable even though the peak of distribution density in the orientation parallel to the flow direction get bigger along the distance. Considering the close relation between the fiber orientation and the tensile behavior of composite, prediction of fiber orientation distribution make it possible to predict the variation in the tensile behavior of high-flow steel-fiber reinforced mortar according to the flow.

An overview of acoustic and vibration research activities for the structural development of Korean space launchers (위성 발사체 구조 개발을 위한 음향/진동 연구)

  • Park, Soon-Hong
    • The Journal of the Acoustical Society of Korea
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    • v.39 no.4
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    • pp.342-350
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    • 2020
  • Acoustic and vibration research activities for the structural development of Korean space launch vehicles are introduced in this paper. Various dynamic loads exerted on a launch vehicle during its operation are summarized. The acoustical design method of payload fairings which protect satellites from harsh launch environment was reviewed. Several acoustic research activities were performed to enhance the analytical prediction ability during the development period of the Naro and the Nuri launcher. Specifically, the following research activities are reviewed: a test and vibro-acoustic analysis of composite cylinders whose layup properties are varied, a research on low-frequency acoustic load reduction by an acoustic resonator array and an acoustic test on the cylinder part of the Naro payload fairing. A vibro-acoustic analysis result for the Nuri launcher was introduced and predicted acoustic and vibration levels and measured ones are shown to be in a good agreement.

Dynamic Characteristics of Ducted Fan: A Study (덕트 팬의 동특성 연구)

  • Baek, Sang Min;Kwon, Jae Ryong;Rhee, Wook
    • Journal of Aerospace System Engineering
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    • v.11 no.6
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    • pp.84-91
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    • 2017
  • The dynamic characteristics of a ducted fan in hovering condition were investigated. The section properties of the fan blade were calculated, and a simulation model was developed according to the rotor system components. Dynamic analyses were conducted relative to the rotational speed and the collective pitch. The proposed ducted fan system showed less aero-elastic instability within the designated operating ranges. To verify the analytical approach, a rotating test stand of the ducted fan was set up. A functional test of the assembly was carried out to determine the kinematics and interference between components. The non-rotating and rotating normal frequencies were measured by excitation of the collective pitch using hydraulic actuators. The results indicated a correlation between the test equipment and the simulation model.

Study of Structural Stability for H-section Beams Made of Fire Resistant Steels (FR 490) at High Temperatures by Analytical Method (건축용 내화강재(FR 490) 적용 H형강 보부재의 고온내력 연구)

  • Kwon, In-Kyu
    • Fire Science and Engineering
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    • v.28 no.5
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    • pp.52-57
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    • 2014
  • When structural elements of steel framed structures are exposed to fire situations, the structural stability begins to decrease due to dislocation of substantial. The increase of the beam length causes an additional stress and deflection. These can be serious factors to cause a severe failure of structures. To improve the fire resistance of beams, prevention of the heat from a fire by coating with fire protection material is essential for beams. The FR 490 was developed to enhance fire resistance compared with SM 490 steel. However, the fire resistance of FR 490 H-beams has not been evaluated by analysis method since it was developed. In this paper, materials properties in high temperature and a heat transfer and thermal stress theory were used in the evaluation of the fire resistance of FR490 H-beams. The fire resistance of FR490 steel beams was compared with that of SM490 beams. The comparison verified that the structural stability of FR490 beams at high temperature was superior to that of SM490 beams.

Statistical Convergence Properties of an Adaptive Normalized LMS Algorithm with Gaussian Signals (가우시안 신호를 갖는 적응 정규화 LMS 앨고리듬의 통계학적 수렴 성질)

  • Sung Ho CHO;Iickho SONG;Kwang Ho PARK
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.16 no.12
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    • pp.1274-1285
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    • 1991
  • This paper presents a statistical convergence analysis of the normalized least mean square(NLMS)algorithm that employs a single-pole lowpass filter, In this algorithm the lowpass filter is used to adjust its output towards the estimated value of the input signal power recursively. The estimated input signal power so obtained at each time is then used to normalize the convergence parameter. Under the assumption that the primary and reference inputs to the adaptive filter are zero mean wide sense stationary, and Gaussian random processes, and further making use of the independence assumption. we derive expressions that characterize the mean and maen squared behavior of the filter coefficients as well as the mean squared estimation error. Conditions for the mean and mean squared convergence are explored. Comparisons are also made between the performance of the NLMS algorithm and that of the popular least mean square(LMS) algorithm Finally, experimental results that show very good agreement between the analytical and emprincal results are presented.

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