• Title/Summary/Keyword: Matrix coefficients

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General Coupling Matrix Synthesis Method for Microwave Resonator Filters of Arbitrary Topology

  • Uhm, Man-Seok;Lee, Ju-Seop;Yom, In-Bok;Kim, Jeong-Phill
    • ETRI Journal
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    • v.28 no.2
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    • pp.223-226
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    • 2006
  • This letter presents a new approach to synthesize the resonator filters of an arbitrary topology. This method employs an optimization method based on the relation between the polynomial coefficients of the transfer function and those of the $S_{21}$ from the coupling matrix. Therefore, this new method can also be applied to self-equalized filters that were not considered in the conventional optimization methods. Two microwave filters, a symmetric 4-pole filter with four transmission zeros (TZs) and an asymmetric 8-pole filter with seven TZs, are synthesized using the present method for validation. Excellent agreement between the response of the transfer function and that of the synthesized $S_{21}$ from the coupling matrix is shown.

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Condensation of independent variables in free vibration analysis of curved beams

  • Mochida, Yusuke;Ilanko, Sinniah
    • Advances in aircraft and spacecraft science
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    • v.3 no.1
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    • pp.45-59
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    • 2016
  • In this paper, the condensation method which is based on the Rayleigh-Ritz method, is described for the free vibration analysis of axially loaded slightly curved beams subject to partial axial restraints. If the longitudinal inertia is neglected, some of the Rayleigh-Ritz minimization equations are independent of the frequency. These equations can be used to formulate a relationship between the weighting coefficients associated with the lateral and longitudinal displacements, which leads to "connection coefficient matrix". Once this matrix is formed, it is then substituted into the remaining Rayleigh-Ritz equations to obtain an eigenvalue equation with a reduced matrix size. This method has been applied to simply supported and partially clamped beams with three different shapes of imperfection. The results indicate that for small imperfections resembling the fundamental vibration mode, the sum of the square of the fundamental natural and a non-dimensional axial load ratio normalized with respect to the fundamental critical load is approximately proportional to the square of the central displacement.

Wavelet analysis based damage localization in steel frames with bolted connections

  • Pnevmatikos, Nikos G.;Blachowski, Bartlomiej;Hatzigeorgiou, George D.;Swiercz, Andrzej
    • Smart Structures and Systems
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    • v.18 no.6
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    • pp.1189-1202
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    • 2016
  • This paper describes an application of wavelet analysis for damage detection of a steel frame structure with bolted connections. The wavelet coefficients of the acceleration response for the healthy and loosened connection structure were calculated at each measurement point. The difference of the wavelet coefficients of the response of the healthy and loosened connection structure is selected as an indicator of the damage. At each node of structure the norm of the difference of the wavelet coefficients matrix is then calculated. The point for which the norm has the higher value is a candidate for location of the damage. The above procedure was experimentally verified on a laboratory-scale 2-meter-long steel frame. The structure consists of 11 steel beams forming a four-bay frame, which is subjected to impact loads using a modal hammer. The accelerations are measured at 20 different locations on the frame, including joints and beam elements. Two states of the structure are considered: healthy and damaged one. The damage is introduced by means of loosening two out of three bolts at one of the frame connections. Calculating the norm of the difference of the wavelet coefficients matrix at each node the higher value was found to be at the same location where the bolts were loosened. The presented experiment showed the effectiveness of the wavelet approach to damage detection of frame structures assembled using bolted connections.

A Portmanteau Test Based on the Discrete Cosine Transform (이산코사인변환을 기반으로 한 포트맨토 검정)

  • Oh, Sung-Un;Cho, Hye-Min;Yeo, In-Kwon
    • The Korean Journal of Applied Statistics
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    • v.20 no.2
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    • pp.323-332
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    • 2007
  • We present a new type of portmanteau test in the frequency domain which is derived from the discrete cosine transform(DCT). For the stationary time series, DCT coefficients are asymptotically independent and their variances are expressed by linear combinations of autocovariances. The covariance matrix of DCT coefficients for white noises is diagonal matrix whose diagonal elements is the variance of time series. A simple way to test the independence of time series is that we divide DCT coefficients into two or three parts and then compare sample variances. We also do this by testing the slope in the linear regression model of which the response variables are absolute values or squares of coefficients. Simulation results show that the proposed tests has much higher powers than Ljung-Box test in most cases of our experiments.

REVIEW AND COMPILATION OF DATA ON RADIONUCLIDE MIGRATION AND RETARDATION FOR THE PERFORMANCE ASSESSMENT OF A HLW REPOSITORY IN KOREA

  • Baik, Min-Hoon;Lee, Seung-Yeop;Lee, Jae-Kwang;Kim, Seung-Soo;Park, Chung-Kyun;Choi, Jong-Won
    • Nuclear Engineering and Technology
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    • v.40 no.7
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    • pp.593-606
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    • 2008
  • In this study, data on radionuclide migration and retardation processes in the engineered and natural barriers of High-Level Radioactive Waste (HLW) repository have been reviewed and compiled for use in the performance assessment of a HLW disposal system in Korea. The status of the database on radionuclide migration and retardation that is being developed in Korea is investigated and summarized in this study. The solubilities of major actinides such as D, Th, Am, Np, and Pu both in Korean bentonite porewater and in deep Korean groundwater are calculated by using the geochemical code PHREEQC (Ver. 2.0) based on the KAERI-TDB(Korea Atomic Energy Research Institute-Thermochemical Database), which is under development. Databases for the diffusion coefficients ($D^b_e$ values) and distribution coefficients ($K^b_d$ values) of some radionuclides in the compacted Korean Ca-bentonite are developed based upon domestic experimental results. Databases for the rock matrix diffusion coefficients ($D^r_e$ values) and distribution coefficients ($K^r_d$ values) of some radionuclides for Korean granite rock and deep groundwater are also developed based upon domestic experimental results. Finally, data related to colloids such as the characteristics of natural groundwater colloids and the pseudo-colloid formation constants ($K_{pc}$ values) are provided for the consideration of colloid effects in the performance assessment.

Prediction of the Natural Frequency of a Soil-Pile-Structure System during an earthquake (지진하중을 받는 말뚝 시스템의 고유 진동수 예측)

  • Yang, Eui-Kyu;Kwon, Seon-Yong;Choi, Jung-In;Kim, Myoung-Mo
    • Proceedings of the Korean Geotechical Society Conference
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    • 2009.09a
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    • pp.976-984
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    • 2009
  • This study proposes a simple method that uses a simple mass-spring model to predict the natural frequency of a soil-pile-structure system in sandy soil. This model includes a pair of matrixes, i.e., a mass matrix and a stiffness matrix. The mass matrix is comprised of the masses of the pile and superstructure, and the stiffness matrix is comprised of the stiffness of the pile and the spring coefficients between the pile and soil. The key issue in the evaluation of the natural frequency of a soil-pile system is the determination of the spring coefficient between the pile and soil. To determine the reasonable spring coefficient, subgrade reaction modulus, nonlinear p-y curves and elastic modulus of the soil were utilized. The location of the spring was also varied with consideration of the infinite depth of the pile. The natural frequencies calculated by using the mass-spring model were compared with those obtained from 1-g shaking table model pile tests. The comparison showed that the calculated natural frequencies match well with the results of the 1-g shaking table tests within the range of computational error when the three springs, whose coefficients were calculated using Reese's(1974) subgrade reaction modulus and Yang's (2009) dynamic p-y backbone curves, were located above the infinite depth of the pile.

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Image Analysis using Transform domain-based Human Visual Parameter (변환영역 기반의 시각특성 파라미터를 이용한 영상 분석)

  • Kim, Yoon-Ho
    • Journal of Advanced Navigation Technology
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    • v.12 no.4
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    • pp.378-383
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    • 2008
  • This paper presents a method of image analysis based on discrete cosine transform (DCT) and fuzzy inference(Fl). It concentrated not only on the design of fuzzy inference algorithm but also on incorporating human visual parameter(HVP) into transform coefficients. In the first, HVP such as entropy, texture degree are calculated from the coefficients matrix of DCT. Secondly, using these parameters, fuzzy input variables are generated. Mamdani's operator as well as ${\alpha}$-cut function are involved to simulate the proposed approach, and consequently, experimental results are presented to testify the performance and applicability of the proposed scheme.

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ANNIHILATORS IN ONE-SIDED IDEALS GENERATED BY COEFFICIENTS OF ZERO-DIVIDING POLYNOMIALS

  • Kwak, Tai Keun;Lee, Dong Su;Lee, Yang
    • Journal of the Korean Mathematical Society
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    • v.51 no.3
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    • pp.495-507
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    • 2014
  • Nielsen and Rege-Chhawchharia called a ring R right McCoy if given nonzero polynomials f(x), g(x) over R with f(x)g(x) = 0, there exists a nonzero element r ${\in}$ R with f(x)r = 0. Hong et al. called a ring R strongly right McCoy if given nonzero polynomials f(x), g(x) over R with f(x)g(x) = 0, f(x)r = 0 for some nonzero r in the right ideal of R generated by the coefficients of g(x). Subsequently, Kim et al. observed similar conditions on linear polynomials by finding nonzero r's in various kinds of one-sided ideals generated by coefficients. But almost all results obtained by Kim et al. are concerned with the case of products of linear polynomials. In this paper we examine the nonzero annihilators in the products of general polynomials.

A New Block Pulse Operational Matrices Improved by The Second Order Lagrange Interpolation Polynomial (Lagrange 이차 보간 다항식을 이용한 새로운 일반형 블럭 펄스 적분 연산 행렬)

  • 심재선;김태훈
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.52 no.6
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    • pp.351-358
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    • 2003
  • This paper presents a new method for finding the Block Pulse series coefficients, deriving the Block Pulse integration operational matrices and generalizing the integration operational matrices which are necessary for the control fields using the Block Pulse functions. In order to apply the Block Pulse function technique to the problems of state estimation or parameter identification more efficiently, it is necessary to find the more exact value of the Block Pulse series coefficients and integral operational matrices. This paper presents the method for improving the accuracy of the Block Pulse series coefficients and derives the related integration operational matrices and generalized integration operational matrix by using the Lagrange second order interpolation polynomial.

A Study on the Validation of the "Korean Maternal Behavior Inventory" ("어머니의 양육행동 척도" 타당화를 위한 일 연구)

  • Lee, Sook
    • Journal of the Korean Home Economics Association
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    • v.29 no.1
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    • pp.189-201
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    • 1991
  • The purpose of this study was to validate the KMBI(Korean Maternal Behavior Inventory). Subjects were 1179 mothers of 4th-6th graders in the elementary schools from 5 small and medium cities and 5 urban cities in Korea. Pearson's γ, Cronbach's α, Cramer'sν, one-way ANOVA were conducted for the statistical analyses. The major findings were as follows. 1. The reliability coefficient of the scale (α) were ranged 0.62-0.79 and 0.70-0.82. 2. The discriminant coefficients(ν)of the item were ranged 0.40-0.83. 3. By the analysis of multitrait-multimethod matrix, convergent validity coefficients(γ) were ranged 0.28-0.66: and discriminant validity coefficients(γ) were ranged 0.28-0.66. 4. Significant sex differences were found in the scores of Affection, Overprotection, Achievement, and Achieve Involvement: significant SES differences were found in the scores of Reasoning Guidance, Affection, Overprotection, Achievement, & Active Involvement: and significant region differences were found in the scores of Authoritarian Control and Achievement.

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