• Title/Summary/Keyword: moment matrix

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SLOPE ROTATABLE DESIGNS FOR SECOND ORDER RESPONSE SURFACE MODELS WITH BLOCK EFFECTS

  • Park, Sung-Hyun;Park, Bong-Gyun;Park, Hee-Jin
    • Journal of the Korean Statistical Society
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    • v.36 no.1
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    • pp.157-173
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    • 2007
  • In this article it is considered that how the slope-rotatability property of a second order design for response surface model is affected by block effects and how the design points are assigned into the blocks so that the blocked design may have the property of slope-rotatability. If an unblocked design is blocked properly, it could be a slope-rotatable design with block effects and this property is named as block slope-rotatability. We approach this problem from the moment matrix of the blocked design, which plays an important role to get the variances of the estimates, and suggest conditions of block slope-rotatability.

Tutorial: Methodologies for sufficient dimension reduction in regression

  • Yoo, Jae Keun
    • Communications for Statistical Applications and Methods
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    • v.23 no.2
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    • pp.105-117
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    • 2016
  • In the paper, as a sequence of the first tutorial, we discuss sufficient dimension reduction methodologies used to estimate central subspace (sliced inverse regression, sliced average variance estimation), central mean subspace (ordinary least square, principal Hessian direction, iterative Hessian transformation), and central $k^{th}$-moment subspace (covariance method). Large-sample tests to determine the structural dimensions of the three target subspaces are well derived in most of the methodologies; however, a permutation test (which does not require large-sample distributions) is introduced. The test can be applied to the methodologies discussed in the paper. Theoretical relationships among the sufficient dimension reduction methodologies are also investigated and real data analysis is presented for illustration purposes. A seeded dimension reduction approach is then introduced for the methodologies to apply to large p small n regressions.

Analysis of aperture coupled stacked microstrip array antenna (슬롯결합 적층 마이크로스트립 배열 안테나 해석)

  • 장병준;이용국;문호원;윤영중;박한규
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.21 no.3
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    • pp.753-762
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    • 1996
  • In this paper, aperture coupled stacked microstrip array antennas are proposed and their operating characteristics are analyzed based on analytical. In order to evaluate mutual coupling between slot-coupled microstrip patches in finite array, analysis uses the reciprocity theorem and the spectral domain Green's functions for dielectric slab in a moment method solution for the unknown patches and solts current distrbution. By introducing an N-port equivalent network, the impedance matrix of an affay of N-element slot-coupled patches is evaluated directly from its network current matix of order N$^{2}$, and it can be programmed to be run on a PC. Numerical results show mutual coupling, radiation pattern, active reflection coefficient versus scan angle, radiation efficiency and active element gain pattern.

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Scattering of TE Waves by a Dielectric Cylinder with Arbitrary Cross Section Paritially Covered by Conductors (부분적으로 도체가 덮인 임의단면의 유전체시린더에 의한 TE파의 산람현상)

  • 이상설;장대석
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.25 no.2
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    • pp.125-129
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    • 1988
  • The acattering characteristics by the TE incident wave are analysed for its dielectric cylinder with arbitrary cross section partially covered by thin conductors. The integro differential equations consistent with boundary conditions of conductors and dielectric boundaries are derived by the equivalence principle. They are transformed into matrix equations by moment method. The rectangular dielectric ctlinder partially coverd by conductors at the upper and bottom side of the cylinder is chosen for the numerical example. Current distributions on conductors and sacttring cross sections by the cylinder are computed for the TE incident perpendicular to the conductor plane.

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In Situ Observation of Slow Crack Growth in a Whisker-Reinforced Alumina Matrix Composite (SiC 휘스커 보강 알루미나 복합재료에서 Slow Crack Growth 현상의 직접관찰 연구)

  • 손기선;김우상;이성학
    • Journal of the Korean Ceramic Society
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    • v.33 no.2
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    • pp.203-213
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    • 1996
  • In this study the subcritical crack growth behavior in an Al2O3-SiCw composite has been investigated using in situ fracture technique of applied moment double cantilever beam (AMDCB) specimens indside an SEM. This technique allows the detailed observation of whisker and grain bridging in the crack wake region. The experimental results indicated that the KI-a curve was deviated from the conventional powder law form and that the existed a region where the rate of microcrack growth was decreased with increasing the externally applied stress intensity factor. This behavior could be explained by arising crack growth resistance i.e. R-curve behavior which was associated with crack shielding due to whisker and grain bridging. The R-curve was also analyzed from the KI-a curve data in order to quantify the bridging effect in the Al2O3-SiCw composite.

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A Theoretical Investigation on Shakedown Analysis of Framed Structures (강뼈대 구조물의 소성안정 해석에 관한 이론적 연구)

  • Lee, Jong-Seok
    • Journal of Ocean Engineering and Technology
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    • v.2 no.2
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    • pp.71-77
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    • 1988
  • For the collapse of structures due to the variable repeated load, two types of collapse mechanisms, i.e., incremental collapse and alternating plasticity, exist. Under the similar variable repeated loading conditions there exists shakedown state in the structures. In shakedown state, the number of plastic hinges are not increased and all further loading will be resulted in the elastic moment changes. Namely, under the shakedown state, structures do not collapse. In this investigation, shakedown analysis are performed by composing new computer programs. Basic theories employed to compose the programs are as follows. 1. Newton-Raphson methods are added to the existing matrix method for the plastic analysis. 2. An effort to construct the stiffness of axial and bending springs attached at both ends of the member has been made. By using the programs developed, it is possible to anticipate the collapse mechanisms (Incremental collapse, alternating plasticity). Lastly for the verification of performance of the program, demonstration examples have been solved and the results are compared with other sources.

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A Study on the Analysis of Coaxial Collinear Antennas for Base Station of Mobile Communications (이동통신 기지국용 동축 코리니아 안테나의 해석에 관한 연구)

  • 임성빈;최학근
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.30A no.11
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    • pp.40-47
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    • 1993
  • In this paper, a method for analyzing coaxial collinear antenna for base station of mobile communications using the moment method and the transmission line theory is presented. The excited voltages at the junctions between elements are expressed as the matrix with transmission parameters and these voltages are applied to the integral equation for calculating current distribution. Here, the current distributions, input admittances, radiation patterns and gains are calculated. Calculated values of the current distributions and the input admittances show good agreement with measured values. In case of beamtilted collinear antenna, radiation pattern is simialar to measured result except side lobe.

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Analysis of a Dipole Antenna Attached on a Dielectric Slab Using a Spectral-Domain Green's Function and the Method of Moments (주파수 영역 Green 함수와 모멘트법을 이용한 유전체 평판 부착 다이폴 안테나의 특성해석)

  • 오이석
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.21 no.10
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    • pp.2703-2709
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    • 1996
  • This paper proposes an exact numerical method for analyzing a dipole antenna attached on a dielectric slab. A Green's function for an infinitesimal current filament on a dielectric slab is derived and a field integral equation is formulated using a boundary condition. The moment Method is used to solve the field integral equation to otain current distribution on the antenna. Since an asymptotic function is used to compute the impedance matrix elements, the computataion time is significantly reduced. Using the computed current distributions, the input impedances, the resonance lengths and the resonant resistances of the antennas for various values of the thichnessandthe dielectric constant of the slab are obtained. It was found that the resonant length and the resonant resistance are decrease monotonically as the dielectric constant increases, however, those are changed up-and-down as the substrate thickness increases.

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Real-time Failure Detection of Composite Structures Using Optical Fiber Sensors (광섬유 센서를 이용한 복합재 구조물의 실시간 파손감지)

  • 방형준;강현규;류치영;김대현;강동훈;홍창선;김천곤
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2000.11a
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    • pp.128-133
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    • 2000
  • The objective of this research is to develop real-time failure detection techniques for damage assessment of composite materials using optical fiber sensors. Signals from matrix cracking or fiber fracture in composite laminates are treated by signal processing unit in real-time. This paper describes the implementation of time-frequency analysis such as the Short Time Fourier Transform(STFT) to determine the time of occurrence of failure. In order to verify the performance of the optical fiber sensor for stress wave detection, we performed pencil break test with EFPI sensor and compared it with that of PZT. The EFPI sensor was embedded in composite beam to sense the failure signals and a tensile test was performed. The signals of the fiber optic sensor when damage occurred were characterized using STFT and wavelet transform. Failure detection system detected the moment of failure accurately and showed good sensitivity with the infinitesimal failure signal.

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The Poisson effect on the curved beam analysis

  • Chiang, Yih-Cherng
    • Structural Engineering and Mechanics
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    • v.19 no.6
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    • pp.707-720
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    • 2005
  • The bending stress formula that taking into account the transverse deformation is developed for plane-curved, untwisted isotropic beams subjected to loadings that result in deformations in the plane of curvature. In order to account the transverse Poisson contraction effect, a new constitutive relation between force resultants, moment resultants, mid-plane strains and deformed curvatures for a curved plate is derived in a $6{\times}6$ matrix form. This constitutive relation will provide the fundamental basis to the analyses of curved structures composing of isotropic or anisotropic materials. Then, the bending stress formula of a curved isotropic beam can be deduced from this newly developed curved plate theory. The stress predictions by the present analysis are compared to those by the analysis that neglected the Poisson contraction effect. The results show that the Poisson effect becomes more significant as the Poisson ratio and the curvature are getting larger.