• Title/Summary/Keyword: Geometric asymmetric

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On the Geometric Equivalence of Asymmetric Factorial Designs

  • Park, Dong-Kwon;Park, Eun-Hye
    • Communications for Statistical Applications and Methods
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    • v.13 no.3
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    • pp.777-786
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    • 2006
  • Two factorial designs with quantitative factors are called geometrically equivalent if the design matrix of one can be transformed into the design matrix of the other by row and column permutations, and reversal of symbol order in one or more columns. Clark and Dean (2001) gave a sufficient and necessary condition (which we call the 'gCD condition') for two symmetric factorial designs with quantitative factors to be geometrically equivalent. This condition is based on the absolute value of the Euclidean(or Hamming) distance between pairs of design points. In this paper we extend the gCD condition to asymmetric designs. In addition, a modified algorithm is applied for checking the equivalence of two designs.

Nonlinear dynamic buckling of laminated angle-ply composite spherical caps

  • Gupta, S.S.;Patel, B.P.;Ganapathi, M.
    • Structural Engineering and Mechanics
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    • v.15 no.4
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    • pp.463-476
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    • 2003
  • This paper deals with nonlinear asymmetric dynamic buckling of clamped laminated angle-ply composite spherical shells under suddenly applied pressure loads. The formulation is based on first-order shear deformation theory and Lagrange's equation of motion. The nonlinearity due to finite deformation of the shell considering von Karman's assumptions is included in the formulation. The buckling loads are obtained through dynamic response history using Newmark's numerical integration scheme coupled with a Newton-Raphson iteration technique. An axisymmetric curved shell element is used to investigate the dynamic characteristics of the spherical caps. The pressure value beyond which the maximum average displacement response shows significant growth rate in the time history of the shell structure is considered as critical dynamic load. Detailed numerical results are presented to highlight the influence of ply-angle, shell geometric parameter and asymmetric mode on the critical load of spherical caps.

The influence of nonlinear damping on the response of a piezoelectric cantilever sensor in a symmetric or asymmetric configuration

  • Habib, Giuseppe;Fainshtein, Emanuel;Wolf, Kai-Dietrich;Gottlieb, Oded
    • Smart Structures and Systems
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    • v.30 no.3
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    • pp.239-243
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    • 2022
  • We investigate the influence of nonlinear viscoelastic damping on the response of a cantilever sensor covered by piezoelectric layers in a symmetric or asymmetric configuration. We formulate an initial-boundary-value problem which consistently incorporates both geometric and material nonlinearities including the effect of viscoelastic damping which cannot be ignored for micro- and nano-mechanical sensor operation in a vacuum environment. We employ an asymptotic multiple-scales methodology to yield the system nonlinear frequency response near its primary resonance and employ a model-based estimation procedure to deduce the system damping backone curve from controlled experiments in vacuum. We discuss the effect of nonlinear damping on sensor applications for scanning probe microscopy.

Performance Study of Supersonic Nozzle with Asymmetric Entrance Shape (유입부 비대칭 노즐의 성능연구)

  • Lee Ji-Hyung;Kim Joug-Keun;Lee Do-Hyung
    • Journal of the Korean Society of Propulsion Engineers
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    • v.10 no.2
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    • pp.46-52
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    • 2006
  • Techniques used for thrust vector control in rocket motors are mainly classified nozzles installed mechanical interference on the expansive region of nozzle(such as jet tabs and jet vanes) and movable nozzles(such as ball&socket and flexible seal). Using the numerical analysis and cold-flow test, this paper evaluates the performance of supersonic nozzle with asymmetric entrance shape when the test nozzle, especially ball&socket, is tilted. Numerical result shows that the effect of the asymmetric entrance shape on the flow field is suddenly diminished at the nozzle throat and downstream is mostly free from the effect of asymmetric entrance shape. Although the calculated thrust and lateral force are less than those of cold-flow test, two results show a fairly good agreement. But the cold-flow test results indicate the effective angles calculated from measured forces are not agreement with the geometric angles.

Asymmetric Directionality of Broadband Ship Radiation Noise at Bow-Stern Aspect (광대역 선박방사소음의 선수-선미 비대칭 방향성)

  • Lee, Keunhwa;Kim, Minkyu;Seong, Woojae
    • The Journal of the Acoustical Society of Korea
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    • v.34 no.5
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    • pp.343-350
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    • 2015
  • In this paper, we perform a study on the directionality of broadband ship radiation noise, mainly resulting from propeller cavitation. By examining a few foreign studies for ship radiation noise and domestic data measured in Korean waters, it is reconfirmed that the asymmetric directionality of the ship radiation noise at bow and stern aspect is observed commonly. In order to explore the reason of this asymmetric directionality, a numerical analysis, based on the acoustic boundary element method, is applied into the geometric form equal to the commercial ship used in the domestic experiment. The numerical result demonstrates that the diffraction of the propeller cavitation noise by ship is a primary cause of the bow-stern asymmetry in the directionality of ship radiation noise.

Asymmetric Creep Behavior of Ceramics (세라믹의 비대칭 크리프 거동)

  • Lim, H.J.;Jung, J.W.;Han, D.B.;Kim, K.T.
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.10
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    • pp.3105-3112
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    • 1996
  • Asymmetric creep behaviors of ceramics under high temperature were investigated. Based on the Norton's power-low creep equation, multidirectional creep equations were proposed for general geometric loading conditions. The proposed equations were implemented into finite element program (ABAQUS) to simulate creep behaviors of ceramics in complicated loading conditions. The calculated results were compared with experimental data for uniaxial compression of Si-SiC C-ring and flexure of Si-SiC and $Al_2O_3$ in the literature. The finite element results agreed well with experimental data when the principal stresses are smaller than the threshold stress for creep damage. A good agreement was also obtained for damage zone in Si-SiC bending creep specimen compared with experimental data.

An Analysis of Herringbone Groove Journal Bearing Considering Groove Shape (그루브형상을 고려한 빗살무늬저널베어링의 유한요소해석)

  • 신동우;임윤철
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 1999.06a
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    • pp.162-169
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    • 1999
  • Herringbone groove journal bearing (HGJB) is developed to improve the static and dynamic performances of hydrodynamic journal bearing. Conventional studies on HGJB were based on the Narrow Groove theory assuming that the number of grooves approaches infinity. In this study, an oil lubricated HGJB is analyzed using Finite Element Method. Load carrying capacity, attitude angle, stiffness and damping coefficients are obtained numerically for various bearing configurations especially for the inclined width ratio and asymmetric ratio and compared with the results obtained using Finite Volume Method. The bearing load and stability characteristics are dependent on geometric parameters such as inclined width ratio, asymmetric ratio, groove depth ratio, groove width ratio, groove angle.

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An Analysis of Herringbone Groove Journal Bearing Considering Groove Shape (그루브형상을 고려한 빗살무늬저널베어링의 유한요소해석)

  • 신동우;임윤철
    • Tribology and Lubricants
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    • v.16 no.6
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    • pp.425-431
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    • 2000
  • Herringbone groove journal bearing (HGJB) is developed to improve the static and dynamic performances of hydrodynamic journal bearing. Conventional studies on HGJB were based on the Narrow Groove theory assuming that the number of grooves approaches infinity. In this study, an oil lubricated HGJB is analyzed using Finite Element Method. Load carrying capacity, attitude angle, stiffness and damping coefficients are obtained numerically for various bearing configurations especially for the inclined width ratio and asymmetric ratio and compared with the results obtained using Finite Volume Method. The bearing load and stability characteristics are dependent on geometric parameters such as inclined width ratio, asymmetric ratio, groove depth ratio, groove width ratio, and groove angle.

Numerical Simulation of Asymmetric Vortical Flows on a Slender Body at High Incidence (큰 받음각을 갖는 세장형 물체 주위의 점성 유동장 수치 모사)

  • Rho Oh Hyun;Hwang Soo Jung
    • Journal of computational fluids engineering
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    • v.1 no.1
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    • pp.98-111
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    • 1996
  • The compressible laminar and turbulent viscous flows on a slender body in supersonic speed as well as subsonic speed have been numerically simulated at high angle of attack. The steady and time-accurate compressible thin-layer Navier-Stokes code based on an implicit upwind-biased LU-SGS algorithm has been developed and specifically applied at angles of attack of 20, 30 and 40 dog, respectively. The modified eddy-viscosity turbulence model suggested by Degani and Schiff was used to simulate the case of turbulent flow. Any geometric asymmetry and numerical perturbation have not been intentionally or artificially imposed in the process of computation. The purely numerical results for laminar and turbulent cases, however, show clear asymmetric formation of vortices which were observed experimentally. Contrary to the subsonic results, the supersonic case shows the symmetric formation of vortices as indicated by the earlier experiments.

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An Analysis of Load Characteristics of Air-Lubricated Herringbone Groove Journal Bearing By Finite Element Method (공기윤활 빗살무늬 저널베어링의 부하특성에 대한 유한요소해석)

  • 박신욱;임윤철
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 2000.11a
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    • pp.353-362
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    • 2000
  • Herringbone groove journal bearing (HGJB) is developed to improve the static and dynamic performances of hydrodynamic journal bearing. In this study, static and dynamic compressible isothermal lubrication problems are analyzed by the finite element method together with the Newton-Raphson iterative procedure. This analysis is introduced for prediction of the static and dynamic characteristics of air lubricated HGJB for various bearing configurations. The bearing load characteristics and dynamic characteristics are dependent on geometric parameters such as asymmetric ratio, groove depth ratio, groove width ratio and groove angle.

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