• Title/Summary/Keyword: Rayleigh problem

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Free Vibration Analysis of Rectangular Plate with Multiple Rectangular Cutouts by Independent Coordinate Coupling Method (독립좌표연성법을 이용한 여러 개의 직사각형 구멍을 갖는 직사각형 평판의 자유진동해석)

  • Kwak, Moon-K.;Song, Myung-Ho
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.17 no.9
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    • pp.881-887
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    • 2007
  • This paper is concerned with the vibration analysis of a rectangular plate with multiple rectangular holes. Even though there have been many methods developed for the addressed problem, they suffer from computational time. In this paper, we applied the Independent Coordinate Coupling Method(ICCM) to the addressed problem, which was developed to compute natural vibration characteristics of the rectangular plate with a rectangular hole and proven to be computationally effective. The ICCM is based on Rayleigh-Ritz method but utilizes independent coordinates for each hole domain. By matching the deflection conditions for each hole imposed on the expressions, we can easily derive the reduced mass and stiffness matrices. The resulting equation is then used for the calculation of the eigenvalue problem. The numerical results show the efficacy of the Independent Coordinate Coupling Method.

Infinite Elements for Soil-Structure Interaction Anaysis (지반-구조물의 상호작용 해석을 위한 무한요소)

  • 양신추;윤정방
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1989.04a
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    • pp.22-27
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    • 1989
  • This paper presents a study of soil-structure interaction problems using infinite elements. The infinite elements are formulated for homogeneous and layered soil media, based on approximate expressions for three components of propagating waves, namely Rayleigh, compressive and shear waves. The integration scheme which was proposed for problems with single wave component by Zienkiewicz is expanded to the multi-wave problem. Verifications are carried out on rigid circular footings which are placed on and embedded in elastic half space. Numerical analysis is performed for a containment structure of a nuclear power plant subjected seismic excitation.

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AN ACCELERATED DEFLATION TECHNIQUE FOR LARGE SYMMETRIC GENERALIZED EIGENPROBLEMS

  • HYON, YUN-KYONG;JANG, HO-JONG
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.3 no.1
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    • pp.99-106
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    • 1999
  • An accelerated optimization technique combined with a stepwise deflation procedure is presented for the efficient evaluation of a few of the smallest eigenvalues and their corresponding eigenvectors of the generalized eigenproblems. The optimization is performed on the Rayleigh quotient of the deflated matrices by the aid of a preconditioned conjugate gradient scheme with the incomplete Cholesky factorization.

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Natural Frequency of L-type Folded Plate (L-형 절곡판의 고유진동수 해석)

  • Lee, Kil-Woo;Chung, Kang
    • Journal of the Korean Society for Precision Engineering
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    • v.6 no.3
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    • pp.100-108
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    • 1989
  • The frequency equation and numerical process of natural frequencies for several boundary conditions of L-type folded plate given to the different thickness and lenth are derived by using Rayleigh-Ritz method in this study. Those natural frequencies are attaind by choosing the proper eigenfunction for boundary conditions of x-direction and y-direfction beams, by considering the convergence of numerical results.

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Multipath Interference Cancellation Algorithm in WCDMA forward link (WCDMA 순방향 링크에서의 다중 경로 간섭 제거 알고리즘)

  • 유현규;권종형;류탁기;홍대식;강창언
    • Proceedings of the IEEK Conference
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    • 2001.06a
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    • pp.353-356
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    • 2001
  • In WCDMA systems, it is difficult to use high level modulation schemes in Rayleigh fading channel. Components of Multipath interference give signals much inteferences. Multipath interference cancellation is one of the method to overcome this problem. In this paper, multistage PIC algorithm is used to verify a performance of multipath interference cancellation. It is algorithm gradually canceling the multipath interferences as a stage number is increases. In computer simulations, it is verified that multipath interference cancelation is necessary and using its algorithm give much better performances than not using.

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The Comparative Study for Software Reliability Model Based on Finite and Infinite Failure Property using Rayleigh Distribution (레일리분포를 이용한 유한고장과 무한고장 소프트웨어 신뢰성 모형에 대한 비교연구)

  • Kim, Kyung-Soo;Kim, Hee-Cheul
    • Journal of Digital Convergence
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    • v.12 no.12
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    • pp.277-284
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    • 2014
  • The NHPP software reliability models for failure analysis can have, in the literature, exhibit either constant, monotonic increasing or monotonic decreasing failure occurrence rates per fault. In this paper, finite failure NHPP models that assuming the expected value of the defect and infinite failures NHPP models that repairing software failure point in time reflects the situation, were presented for comparing property. Commonly used in the field of software reliability based on Rayleigh distribution software reliability model finite failures and infinite failures were presented for comparison problem. As a result, infinite fault model is effectively finite fault models, respectively. The parameters estimation using maximum likelihood estimation was conducted. In this research, can be able to help software developers for considering software failure property some extent.

Superresolution of Optical Imaging System (광결상계의 초분해능)

  • 조영민;김종태;이상수
    • Korean Journal of Optics and Photonics
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    • v.5 no.3
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    • pp.349-355
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    • 1994
  • Superrsolution of an optical imaging system, which resolves $\epsilon_O$ (half width of the square top amplitude impulse function) less than the Rayleigh's resolution limit $\epsilon_R$, is theoretically treated by using the diffraction theory, and an experimental system is proposed. Initially superresolution is stated as an inverse problem, and an integral equation is derived as a function of parameter $\beta$, which is positive. The integration is numerically carried out for the given aperture and those given values of $\beta$, which is 1, 5, 10, 15, and 20. 1/2$\times$FWHM's of the amplitude impulse functions are meassured for the cases of diffrent value of {J and in the case of $\beta=5$, the half-width already approaches to $\epsilon_O=0.1$,urn, which is, in the case of the present work, one fifth of the Rayleigh's resolution limit. It is found both the pupil function and the phase of the Huygens wave are to be modified, and theories of the pupil function modulation plate and the phase modulation hologram plate are also presented. The result obtained may be useful in ultrafine optical lithography.graphy.

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Vibration Analysis of Symmetrically Laminated Composite Rectangular Plates (대칭 복합적층 직사각형 판의 진동해석)

  • T.Y. Chung;J.H. Chung
    • Journal of the Society of Naval Architects of Korea
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    • v.29 no.3
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    • pp.140-148
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    • 1992
  • The free vibration problem of symmetrically laminated composite rectangular plates is formulated based on anisotropic thick plate theory including the effects of shear deformation and rotary inertia. Considering the difficulty of obtaining closed-form solutions, Rayleigh-Ritz analysis using polynomials having the property of Timoshenko beam functions as trial functions is adopted. The boundary conditions elastically restrained against rotation are accomodated as well as classical boundary conditions. From the results of numerical studies, the validity of the present method is verified. And it is also found that the adoption of thick plate theory for the vibration analysis of laminated composite plates is essential because of the relatively large shear deformation effect, and that the convergence of the Rayleigh quotient to the stationary value is less rapid in anisotropic composite plates than that in the orthotropic ones due to more complicated mode shapes of the former.

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A Study on Blind Adaptive Interference Suppression for DS-CDMA systems (DS-CDMA 시스템을 위한 블라인드 적응 간섭 억제에 관한 연구)

  • 우대호;윤태성;변윤식
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.24 no.10B
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    • pp.1995-2003
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    • 1999
  • Since the cross-correlation function which is due to communication channel distortion or interference is not orthogonal, near far problem and multi-user interference are generated in the DS-CDMA system. Those problems degrade performance of the system so that the efficient algorithm to suppress the interference in the DS-CDMA system is required. In this paper, a blind adaptive interference suppressor using constant modulus algorithm is proposed. Simulation results present that the gain of SIR for the blind adaptive receiver is about 7[dB] at steady state over Gaussian channel in forward channel. The gain of noise to interference ration is about 4[dB] over Rayleigh fading channel, is about 11[dB] over multipath channels. Thus the proposed receiver has higher performance than a conventional receiver in the DS-CDMA system.

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Bending analysis of bi-directional functionally graded Euler-Bernoulli nano-beams using integral form of Eringen's non-local elasticity theory

  • Nejad, Mohammad Zamani;Hadi, Amin;Omidvari, Arash;Rastgoo, Abbas
    • Structural Engineering and Mechanics
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    • v.67 no.4
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    • pp.417-425
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    • 2018
  • The main aim of this paper is to investigate the bending of Euler-Bernouilli nano-beams made of bi-directional functionally graded materials (BDFGMs) using Eringen's non-local elasticity theory in the integral form with compare the differential form. To the best of the researchers' knowledge, in the literature, there is no study carried out into integral form of Eringen's non-local elasticity theory for bending analysis of BDFGM Euler-Bernoulli nano-beams with arbitrary functions. Material properties of nano-beam are assumed to change along the thickness and length directions according to arbitrary function. The approximate analytical solutions to the bending analysis of the BDFG nano-beam are derived by using the Rayleigh-Ritz method. The differential form of Eringen's non-local elasticity theory reveals with increasing size effect parameter, the flexibility of the nano-beam decreases, that this is unreasonable. This problem has been resolved in the integral form of the Eringen's model. For all boundary conditions, it is clearly seen that the integral form of Eringen's model predicts the softening effect of the non-local parameter as expected. Finally, the effects of changes of some important parameters such as material length scale, BDFG index on the values of deflection of nano-beam are studied.