• 제목/요약/키워드: fraction law

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고온에서 외부 가진력을 받는 회전하는 경사기능 박판 블레이드의 동적응답 해석 (Dynamic Response Analysis of Rotating Functionally Graded Thin-Walled Blades Exposed to Steady Temperature and External Excitation)

  • 오병영;나성수
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2004년도 추계학술대회
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    • pp.643-648
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    • 2004
  • This paper is dedicated to the thermoelastic modeling and dynamic response of the rotating blades made of functionally graded ceramic-metal based materials. The blades modeled as non-uniform thin walled beams fixed at the hub with various selected values of setting angles and pre-twisted angles. In this study, the blade is rotating with a constant angular velocity and exposed to a steady temperature field as well as external excitation. Moreover, the effect of the temperature gradient through the blade thickness is considered. Material properties are graded in the thickness direction of the blade according to the volume fraction power law distribution. The numerical results highlight the effects of the volume fraction, temperature gradient, taper ratio, setting angle and pre-twisted angle on the dynamic response of bending-bending coupled beam characteristics are provided for the case of a biconvex cross section and pertinent conclusions are outlined.

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Pyrochlore상의 부피분율에 따른 PMN-Pyrochlore 2상 혼합체의 유전율변화;General Effective Media식의 적용 (Variation of Dielectric Constant with the Volume Fraction of Pyrochlore Phae in the PMN-Polychlore Diphasic System ; Application of General Effective Media Equation)

  • 허강일;김정주;김남경;김진호;조상희
    • 한국세라믹학회지
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    • 제30권1호
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    • pp.78-84
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    • 1993
  • In PMN-pyrochlore phase mixtures, dielectric constant was measured as a function of the volume fraction of pyrochlore phase and considered with general effective media(GEM) equation. For the application of GEM equation to this system, the critical volume fraction(Vc) where connectivity between the perovskite PMN and pyrochlore phase changed from 0-3 to 3-3, was determined based on the each particle size ratio of two phases with microstructural observation. And then the t value was determined from modified percolation powder-law dependence ( K-Kc (V-Vc)t). In the case of applying such values of t and Vc to the GEM equation, which provided a reasonable fit to the measured dielectric constant within the experimental error range.

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고온에서 외부 가진력을 받는 회전하는 경사기능 박간 블레이드의 동적응답 해석 (Dynamic Response Analysis of Rotating Functionally Graded Thin-Walled Blades Exposed to Steady High Temperature and External Excitation)

  • 나성수;오병영
    • 대한기계학회논문집A
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    • 제29권7호
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    • pp.976-982
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    • 2005
  • This paper is dedicated to the thermoelastic modeling and dynamic response of the rotating blades made of functionally graded ceramic-metal based materials. The blades are modeled as non-uniform thin walled beams fixed at the hub with various selected values of setting angles and pre-twisted angles. In this study, the blade is rotating with a constant angular velocity and exposed to a steady temperature field as well as external excitation. Moreover, the effect of the temperature gradient through the blade thickness is considered. Material properties are graded in the thickness direction of the blade according to the volume fraction power law distribution. The numerical results highlight the effects of the volume fraction, temperature gradient, taper ratio, setting angle and pre-twisted angle on the dynamic response of bending-bending coupled beam characteristics and pertinent conclusions are outlined.

경사기능재료 사각평판의 정적 및 진동해석 (Statics and Free Vibration Characteristics of Rectangular Plates Made of Functionally Graded Materials)

  • 민준식;송오섭;이윤규;정남희;강호식
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2003년도 추계학술대회논문집
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    • pp.439-445
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    • 2003
  • In the recent years, functionally graded materials(FGM) have gained considerable attention in the high temperature environment applications. In the present work, study of the deflection and vibration of a functionally graded rectangular plate made of Ti-6Al-4V and Al$_2$O$_3$ is presented. Material properties are graded in the thickness direction of the plate according to volume fraction power law distribution Effects of volume fractions(power law exponent) on the deflection and natural frequency of FGM plate is studied. Also effects of temperature is studied. Wavier Solution is used to analyzed the FGM plate.

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테일러 반응기 내의 입자응집과 분해에 관한 수치 연구 (Numerical Study of Aggregation and Breakage of Particles in Taylor Reactor)

  • 이승훈;전동협
    • 대한기계학회논문집B
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    • 제40권6호
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    • pp.365-372
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    • 2016
  • 전산유체역학(CFD)을 이용하여 테일러 반응기 내 입자간 응집과 분해반응을 고려한 유동해석을 수행하였다. 입자크기분포를 파악하기 위하여 모멘트 적분법(QMOM)을 이용하여 집합체 균형방정식(Population Balance Equation)을 계산하였다. 초기 여섯 개의 모멘트를 이용하였으며, 응집커널은 Brownian kernel 과 turbulent kernel의 합을, 그리고 분해커널은 멱법칙 커널(power-law kernel)을 사용하였다. 입자의 초기 부피분율에 따른 최종 입자크기를 예측하였다. 그 결과, 초기 부피분율이 증가할수록 입자의 크기와 초기 성장속도가 증가하는 것을 확인하였다.

Free vibration analysis of bidirectional functionally graded annular plates resting on elastic foundations using differential quadrature method

  • Tahouneh, Vahid
    • Structural Engineering and Mechanics
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    • 제52권4호
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    • pp.663-686
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    • 2014
  • This paper deals with free vibration analysis of bidirectional functionally graded annular plates resting on a two-parameter elastic foundation. The formulations are based on the three-dimensional elasticity theory. This study presents a novel 2-D six-parameter power-law distribution for ceramic volume fraction of 2-D functionally graded materials that gives designers a powerful tool for flexible designing of structures under multi-functional requirements. Various material profiles along the thickness and in the in-plane directions are illustrated by using the 2-D power-law distribution. The effective material properties at a point are determined in terms of the local volume fractions and the material properties by the Mori-Tanaka scheme. The 2-D differential quadrature method as an efficient and accurate numerical tool is used to discretize the governing equations and to implement the boundary conditions. The fast rate of convergence of the method is shown and the results are compared against existing results in literature. Some new results for natural frequencies of the plates are prepared, which include the effects of elastic coefficients of foundation, boundary conditions, material and geometrical parameters. The interesting results indicate that a graded ceramic volume fraction in two directions has a higher capability to reduce the natural frequency than conventional 1-D functionally graded materials.

Free vibration analysis of a rotating non-uniform functionally graded beam

  • Ebrahimi, Farzad;Dashti, Samaneh
    • Steel and Composite Structures
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    • 제19권5호
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    • pp.1279-1298
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    • 2015
  • In this paper, free vibration characteristics of a rotating double tapered functionally graded beam is investigated. Material properties of the beam vary continuously through thickness direction according to the power-law distribution of the volume fraction of the constituents. The governing differential equations of motion are derived using the Hamilton's principle and solved utilizing an efficient and semi-analytical technique called the Differential Transform Method (DTM). Several important aspects such as taper ratios, rotational speed, hub radius, as well as the material volume fraction index which have impacts on natural frequencies of such beams are investigated and discussed in detail. Numerical results are tabulated in several tables and figures. In order to demonstrate the validity and accuracy of the current analysis, some of present results are compared with previous results in the literature and an excellent agreement is observed. It is showed that the natural frequencies of an FG rotating double tapered beam can be obtained with high accuracy by using DTM. It is also observed that nondimensional rotational speed, height taper ratio, power-law exponent significantly affect the natural frequencies of the FG double tapered beam while the effects of hub radius and breadth taper ratio are negligible.

온도 변동하의 A1 7075 합금의 크리이프 및 파단수명 (Creep and Rupture Life of Al 7075 alloy under step-wise temperature cycling)

  • 김창건;강대민;구양;박경동;백남주
    • 한국안전학회지
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    • 제4권1호
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    • pp.25-39
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    • 1989
  • Cyclic temperature creep tests were carried out an AS 7075 alloy specimens were subjected to a constant load and stepwise temperature cycles in which temperature was fluctuated between 30$0^{\circ}C$ and 25$0^{\circ}C$ with three different cycle ratios. The highest frequency of cycling was 1 cycle per 10 hr and the lowest one was 1 cycle per 12 hr. From the creep experimental results with the above conditions the creep strain under cyclic temperature can be predicted easily by introd ucing the equivalent steady temperature because defined by Eq.(16), but the rupture life is 1.1 time than those of constant temperature because of effect of temperature history at tertiary creep range. Besides thlis result, the results of the creep test under cyclic temperature conditions are respectively compayiea with calculated rupture lives using the life fraction law and Eq.(18). The agreement between the obseried rupture times and calculated ones is fairly good. So creep rupture lives can be respectively predicted using life fraction law and Eq.(18).

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Thermo-mechanical vibration analysis of functionally graded micro/nanoscale beams with porosities based on modified couple stress theory

  • Ebrahimi, Farzad;Mahmoodi, Fateme;Barati, Mohammad Reza
    • Advances in materials Research
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    • 제6권3호
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    • pp.279-301
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    • 2017
  • Thermo-mechanical vibration characteristics of in homogeneousporous functionally graded (FG) micro/nanobeam subjected to various types of thermal loadings are investigated in the present paper based on modified couple stress theory with consideration of the exact position of neutral axis. The FG micro/nanobeam is modeled via a refined hyperbolic beam theory in which shear deformation effect is verified needless of shear correction factor. A modified power-law distribution which contains porosity volume fraction is used to describe the graded material properties of FG micro/nanobeam. Temperature field has uniform, linear and nonlinear distributions across the thickness. The governing equations and the related boundary conditions are derived by Extended Hamilton's principle and they are solved applying an analytical solution which satisfies various boundary conditions. A comparison study is performed to verify the present formulation with the known data in the literature and a good agreement is observed. The parametric study covered in this paper includes several parameters such as thermal loadings, porosity volume fraction, power-law exponents, slenderness ratio, scale parameter and various boundary conditions on natural frequencies of porous FG micro/nanobeams in detail.

Air horizontal jets into quiescent water

  • Weichao Li ;Zhaoming Meng;Jianchuang Sun;Weihua Cai ;Yandong Hou
    • Nuclear Engineering and Technology
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    • 제55권6호
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    • pp.2011-2017
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    • 2023
  • Gas submerged jet is an outstanding thermohydraulic phenomenon in pool scrubbing of fission products during a severe nuclear accident. Experiments were performed on the hydraulic characteristics in the ranges of air mass flux 0.1-1400 kg/m2s and nozzle diameter 10-80 mm. The results showed that the dependence of inlet pressure on the mass flux follows a power law in subsonic jets and a linear law in sonic jets. The effect of nozzle submerged depth was negligible. The isolated bubbling regime, continuous bubbling regime, transition regime, and jetting regime were observed in turn, as the mass flux increased. In the bubbling regime and jetting regime, the air volume fraction distribution was approximately symmetric in space. Themelis model could capture the jet trajectory well. In the transition regime, the air volume fraction distribution loses symmetry due to the bifurcated secondary plume. The Li correlation and Themelis model showed sufficient accuracy for the prediction of jet penetration length.