• 제목/요약/키워드: Rectangular distribution

검색결과 484건 처리시간 0.025초

Bending of FGM rectangular plates resting on non-uniform elastic foundations in thermal environment using an accurate theory

  • Bouderba, Bachir
    • Steel and Composite Structures
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    • 제27권3호
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    • pp.311-325
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    • 2018
  • This article presents the bending analysis of FGM rectangular plates resting on non-uniform elastic foundations in thermal environment. Theoretical formulations are based on a recently developed refined shear deformation theory. The displacement field of the present theory is chosen based on nonlinear variations in the in-plane displacements through the thickness of the plate. The present theory satisfies the free transverse shear stress conditions on the top and bottom surfaces of the plate without using shear correction factor. Unlike the conventional trigonometric shear deformation theory, the present refined shear deformation theory contains only four unknowns as against five in case of other shear deformation theories. The material properties of the functionally graded plates are assumed to vary continuously through the thickness, according to a simple power law distribution of the volume fraction of the constituents. The elastic foundation is modeled as non-uniform foundation. The results of the shear deformation theories are compared together. Numerical examples cover the effects of the gradient index, plate aspect ratio, side-to-thickness ratio and elastic foundation parameters on the thermo-mechanical behavior of functionally graded plates. Numerical results show that the present theory can archive accuracy comparable to the existing higher order shear deformation theories that contain more number of unknowns.

Spatial Frequency Filtering Characteristics of Annular Phase Gratings (고리형 위상 격자의 공간 주파수 필터 효과)

  • 김인길;고춘수;임성우;오용호;이재철
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • 제17권9호
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    • pp.994-1000
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    • 2004
  • We studied the characteristics of annular phase gratings as spatial frequency filters. We first calculated the Fraunhofer diffraction patterns of annular gratings and then got the modulation transfer function (MTF) from the zeroth order Hankel transform of the intensity distribution function. Binaryphase annular grating shows higher diffraction efficiency than binary phase rectangular grating. But the MTF decreases linearly in the low-frequency region as that of rectangular grating does. The diffraction pattern of 4-phase annular grating is similar to that of 2-phase grating and hence MTFs of the two are much alike. For 8-phase annular grating, the 7th order diffracted beam is the lowest one next to the first. Consequently, the diffraction efficiency is very high and the MTF graph is curved upward. The diffracted beams except the first order are negligible and hence the MTF characteristics are more improved in the case of 16-phase grating. But the degree of improvement becomes lowered c(Impaled with 8-phase grating. We made a 16-phase annular grating and measured its MTF. The experimental result agrees well with the calculated one.

Analysis of Thermal Response of Rectangular Plates Made of Functionally Graded Materials (경사.기능재료 사각평판의 열적거동 해석)

  • 민준식;강호식;정남희;송오섭
    • Composites Research
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    • 제17권5호
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    • pp.78-84
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    • 2004
  • In this paper, a study of thermal response of two types of functionally graded materials (FCM) plates composed of $\textrm{Al}_2\textrm{O}_3$ and Ti-6Al-4V is presented. The material properties of the functionally graded plates are assumed to vary continuously through the thickness of the plate according to a power law distribution of the volume fraction of the constituents. It is supposed that the top and bottom surfaces of the plate are heated and kept as constant thermal boundary conditions. The fundamental equations for rectangular plates of FGM are obtained using Hamilton's variational principles. The solution is obtained in terms of Navier Solution. The influence of volume fraction and temperature is studied on the static deflection and natural frequency of FCM plate.

Experimental Study on Non-Axisymmetric Rectangular Cup using Multi-Stage Deep Drawing Process (직사각 컵 성형을 위한 다단 디프드로잉 공정의 실험적 연구)

  • Ku, T.W.;Park, J.W.;Heo, S.C.;Kang, B.S.
    • Transactions of Materials Processing
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    • 제19권4호
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    • pp.253-262
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    • 2010
  • For multi-stage deep drawing process including ironing operation and biaxial forming in this study, tool developments are achieved, and the developed tool sets are applied to experimental investigations. In process and tool designs, a contact condition between intermediate blank and lower die is considered as the sequential one. In this study, the material used is cold-rolled thin sheet (SPCE) with the initial thickness of 0.4mm. From the experimental approaches, several failures such as tearing, localized thickening and thinning, are observed. To solve these failures, the contact surface on the lower die is modified. As the experimental results by applying the modified lower die, it is investigated that the failures are not occurred, and the excessive deformation behavior due to the thinning and thickening effects are decreased. Furthermore, the thickness distributions on the major axis and the minor axis of each intermediate blank are investigated to be already satisfied the target (ironing) thickness, respectively. By this systematic approach, it is confirmed that the experimental results show good agreements with the designed and required configuration of each deformed and final products.

The Design of Rectangular Microstrip Patch Array Antenna with Micorstrip Feed Line Network (마이크로스트립 급전 회로망을 갖는 구형 마이크로스트립패치어레이 안테나의 설계)

  • Park, Doo-Seok;Hong, Ui-Seok;Ko, Young-Hyuk
    • Journal of the Korean Institute of Telematics and Electronics
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    • 제27권2호
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    • pp.39-46
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    • 1990
  • In this paper, Rectangular microstrip patch array antenna. relative current of which is distributed to 1:2:2:1, is designed and fabricated by using Tschebyscheff's polynominal expression and is verified by theoretical analysis and experiment. Seeking for more accurate resonant frequency, an equivlent network, which is consisted including feed line and power distribution line, is analyzed by using the analysis method of transmission line mode. As a result of their comparison and examination, such as resonant frequency by fringing effects, by return loss, by experiment, it is conformed that errors are not barely and agreed with each other. is also agreed with a measured values.

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Numerical Study on Flow Patterns in a Stirred Tank with Impeller Types (혼합탱크 내의 임펠라 형태에 따른 유동 특성에 관한 수치해석)

  • Song, Gil-Sub;Oh, Sueg-Young;Oh, Jeong-Jin
    • The KSFM Journal of Fluid Machinery
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    • 제5권2호
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    • pp.29-35
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    • 2002
  • The present study is concerned with the flow patterns induced by various impellers in a rectangular tank. Impellers are FBT (Flat blade turbine), PBT (Pitched blade turbine), Shroud turbine, Rushton turbine, and Helical ribbon turbine types. The solutions of flows in moving reference frames require the use of 'moving' cell zone. The moving zone approaches are based on MRF (Multiple reference frame), which is a steady-state approximation and sliding method, which is an unsteady-state approximation. Numerical results using two moving zone approaches we compared with experiments by Ranade & Joshi, which have done extensive LDA measurements of the flow generated by a standard six-bladed Rushton turbine in a cylindrical baffled vessel. In this paper, we simulated the flow patterns with above-mentioned moving zone approaches and impellers. Turbulence model used is RNG $k-{\epsilon}$ model. Sliding-mesh method is more effective than MRF for simulating the rectangular tank with inlet and outlet. RNG $k-{\epsilon}$ model strongly underestimates the velocity of experimental data and velocity by Chen & Kim's model, but it seems to be correctly predicted in overall distribution.

Development of an Electrical Capacitance Tomography Code for Analysis of Two-Phase Flow in the Rectangular Pipe (사각관 이상유동 분석을 위한 전기적 캐패시턴스 토모그라피 코드 개발)

  • Lee, Kyoung-Hwang;Lee, Jae-Young
    • Transactions of the Korean Society of Mechanical Engineers B
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    • 제29권1호
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    • pp.87-94
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    • 2005
  • A computer code for Electrical Capacitance Tomography (ECT) is developed to sense the cross sectional phase distribution of two-phase flow in the rectangular pipe in which the tomography sensor furnished by the insulated wall, electrodes, and electric field screen. The computer code had two steps for the image reconstruction. In the forward projection step, the sensitivity matrix was constructed based on the electric field calculated by the finite difference method. In the backward projection step, the sensitivity matrix and the measured capacitances were used to reconstruct the cross sectional image. Several algorithms including LBP, TR, ITR, and PLI were employed to find the proper one for the two-phase flow analysis. Since the dielectric constant of the water in two-phase flow is sensitive to the thermal parameter such as, temperature and pressure, the developed code was evaluated to find their accuracy, speed of calculation, and sensitivity to the variation of the dielectric constant. It was found that the iterative methods are superior to the direct methods for the image reconstruction, and the PLI method was the best in the variation of the dielectric constants.

The study on optimum design for shear stress integrated pressure sensor (전단응력형 집적화 압력센서의 최적설계)

  • 주리아;도태성;이종녕;서희돈
    • Journal of the Korean Institute of Telematics and Electronics T
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    • 제35T권1호
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    • pp.75-81
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    • 1998
  • This paper is to optimize single-element piezoresistor shear stress strain gauge related to aspect ratio of rectangular diaphragm. The shear stress distribution on diaphragm has been simulated by finite-element method(FEM). As simulation results, the maximum sensitivity for strain gauge was appeared at the center of diaphragm with aspect ratio 3, and in along to long edge with the ratio 2. The diaphragm with ratio 2 is not acceptable due to the yield of mask alignment in IC process technology. The optimum condition of diaphragm with respect to good sensitivity was realized in the case of ratio 3. In this case, the area by gauge was 8% of overall size of rectangular diaphragm.

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Electromagnetic Field Distribution Analysis on Reverberation Chamber using Electromagnetic Diffusion Method (전자파 확산방식을 이용한 잔향실 내부의 필드 분포 해석)

  • 이광순;이중근;정삼영
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • 제11권5호
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    • pp.839-848
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    • 2000
  • This paper presents the results of an electromagnetic field analysis for a reverberation chamber that is an alternative method of a shielded anechoic chamber, which is widely used for the analysis and measurement of electromagnetic interference and immunity test. Inside the defined test volume of the rectangular and triangular type, the Schroeder Quadratic Residue Diffuser was employed. FDTD(Finite-Difference Time-Domain) simulation method was applied to produce the field characteristics inside those reverberation chambers. According to the results, field uniformities on the aforementioned two types of reverberation chambers were correlated within $\pm$3dB, and $\pm$4.4dB tolerances, and rectangular type reverberation chamber shows an independent polarization result.

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An Application of K-$\varepsilon$ Turbulence Model for Predicting Effect of a Rectanguler Obstacle with Heat Flux in a Solt-Ventilated Enclosure on Air Flow

  • 최홍림;김현태;김우중
    • Magazine of the Korean Society of Agricultural Engineers
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    • 제34권E호
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    • pp.30-44
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    • 1992
  • A modification of the TEACH-like computer program based on the k-$\varepsilon$ turbulence transport was applied for predicting air mixing patterns and temperature distributions in a rectangular, slot-ventilated enclosure having obstructions ; a rectangular obstacle with heat flux, solid walls separates the passage and the pig pens, and purlins beneath the ceiling. Air flow patterns were calculated for the cases with and without the purlin, extending 300mm beneath the ceiling. Comparisons of prediction data of Randall & Battams(1976) showed air flow pattern predicted well for the case without the purlin. Heat was accumulated at the corner of the left side of the solid wall and the right-upper region of the simulated pigs. However the air distribution pattern was completely different from data for the case with the purlin. The deviation from the observation may be attributed to the difference of the geometric configuation. Exploring the cause of the deviation should be conducted in a further study. Temperature stratification was also observed due to incomplete mixing. The obstruction in the route of the inlet air jet at inlet should be avoided since most of kinetic energy dissipates at the abstacle duet to impingement.

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