• Title/Summary/Keyword: Relaxation Method

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GLOBAL EXISTENCE AND STABILITY FOR EULER-BERNOULLI BEAM EQUATION WITH MEMORY CONDITION AT THE BOUNDARY

  • Park, Jong-Yeoul;Kim, Joung-Ae
    • Journal of the Korean Mathematical Society
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    • v.42 no.6
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    • pp.1137-1152
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    • 2005
  • In this article we prove the existence of the solution to the mixed problem for Euler-Bernoulli beam equation with memory condition at the boundary and we study the asymptotic behavior of the corresponding solutions. We proved that the energy decay with the same rate of decay of the relaxation function, that is, the energy decays exponentially when the relaxation function decay exponentially and polynomially when the relaxation function decay polynomially.

A New Lagrangian Stochastic Model for Prediction of Particle Dispersion in Turbulent Boundary Layer Flow (경계층 유동에서 입자확산의 예측을 위한 라그랑지안 확률모델)

  • Kim, Byung-Gu;Lee, Chang-Hoon
    • Proceedings of the KSME Conference
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    • 2003.04a
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    • pp.1851-1856
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    • 2003
  • A new Lagrangian stochastic dispersion model is developed by combining the GLM(generalized Langevin model) and the elliptic relaxation method. Under the physically plausible assumptions a simple analytical solution of elliptic relaxation is obtained. To compare the performance of our model with other model, the statistics of particle velocity as well as concentration are investigated. Numerical simulation results show good agreement with available experimental data.

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Post-buckling analysis using a load-displacement control (하중과 변위의 동시제어에 의한 좌굴후 현상해석)

  • Kwon, Y.D.;Lim, B.S.;Park, C.;Choi, J.M.
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.11
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    • pp.1931-1942
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    • 1997
  • A new load/displacement parameter method is developed for the cases that loads are applied to one or more points, and displacements of a structure are controlled at one or more points sinultaneously. The procedure exploits a generalized Riks method, which utilizes load/displacement parameters as scaling factors in order to analyze the post-buckling phenomena including snap-through or snap-back. A convergence characteristic is improved by employing new relaxation factors in incremental displacement parameter, particularly at the region where exhibits severe numerical instability. The improved performance is illustrated by means of numerical example.

Error Correction of the Activation Energy of Thermally Stimulated Current by using a Asymptotic Estimation Method (접근해법을 이용한 열자격전류의 활성화에너지 오차 보정)

  • Kim, Ki-Joon;Park, Seung-Hyub;Kim, Chung-Hyeok;Lee, Joon-Ung
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 1992.11a
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    • pp.118-122
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    • 1992
  • In this paper, the properties of Thermally Stimulated Current was studied to understand carrier's behavior of $PVF_2$ film, to be regarded as the excellent piezo and pyroelectricity. The complex relaxation curve of Thermally Stimulated Current was divided into single relaxation style using Thermal Cleaning method. As a result of Applying the numerical method of asymtotic estimation to the divided single relaxation peak, we could calculated the physical factors related to charged particles of the specimen, more accurately.

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A Study of Shape Finding of Equally Stressed Surface for Membrane Structures by Dynamic Relaxation Method (동적이완법에 의한 막구조의 등장력곡면 형태해석에 관한 연구)

  • 한상을;이경수
    • Computational Structural Engineering
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    • v.11 no.4
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    • pp.321-330
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    • 1998
  • 막구조의 초기형상을 결정하기 위하여 막요소의 기하학적 비선형을 고려한 평형방정식을 유도하고, 등장력곡면(equally stressed surface)을 결정하기 위한 알고리즘을 정식화한다. 막구조는 대변형에 의한 기하학적 비선형성을 포함하고, 막구조의 특성상 초기장력에 의한 초기변형을 고려해야 하므로, 본 논문에서는 막구조와 같은 인장구조물의 비선형 수치해석을 수행하기 위한 해석기법으로써, 동적이완법(Dynamic Relaxation Method)에 대한 해석알고리즘을 적용하고, 이 방법에 의해 수행한 해석결과를 검토함으로써 막구조 해석에 적용 가능한 수치해석기법을 제시하고, 수치해석에 대한 예를 통해 본 해석법의 타당성을 검증한다.

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In situ cavity loss measurements of a mode-locked erbium-doped fiber ring laser by thed relaxation oscillation frequency method

  • Jhon, Young-Min;Kim, Bong-Kyu;Kim, Dong-Hwan;Kim, Myong-Wook;Kim, Sang-Kuk;Choi, Sang-Sam
    • Journal of the Optical Society of Korea
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    • v.4 no.1
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    • pp.11-13
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    • 2000
  • We experimentally measured the cold cavity loss of a mode-locked erbium-doped fiber ring laser in situ by using the relaxation oscillation frequency method. The relaxation oscillation frequency is measured for various pumping powers and the data is fitted by the least squares method with a theoretical curve of parameters including the cavity loss. We obtained a cavity loss of 15.3$\pm$0.5 dB which was found to agree with the results of direct transmission loss measurements.

Nonlinear analysis using load-displacement control

  • Kwon, Young-Doo;Kwon, Hyun-Wook;Lim, Beom-Soo
    • Structural Engineering and Mechanics
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    • v.19 no.2
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    • pp.153-172
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    • 2005
  • A new load/displacement parameter method is proposed for the simultaneous control of applied loads and structural displacements at one or more points. The procedure is based on a generalized Riks' method, which utilizes load/displacement parameters as scaling factors to analyze post-buckling phenomena including snap-through or snap-back. The convergence characteristics are improved by employing new relaxation factors through an incremental displacement parameter, particularly in a region that exhibits severe numerical instability. The improved performance is illustrated by means of a numerical example.

Stress Relaxation Test of Granite under Water-Saturated Triaxial Condition (화강암의 응력완화현상에 관한 수침삼축시험)

  • 서용석
    • The Journal of Engineering Geology
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    • v.10 no.3
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    • pp.217-223
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    • 2000
  • Microcracks that consist of quarry planes of granite are an essential factor affecting the long-term behavior of granite. In this paper, fine-grained granite distributed in the Tsukuba area of Japan was selected and microcracks were measured by using scanline method. In addition, a new relaxation testing equipment was developed to carry out stress relaxation test under water-saturated triaxial condition. Based on the relaxation test results with the initial stress level of 75%, the axial stress is decreased by 39%-49% just after the start of the tests, and the totally relaxed stress is 10∼24 MPa in 190 ERT (Elapsed relaxation time, hour). In addition, the relaxed stress is increased with the density of cracks which are parallel to axial load direction.

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A Theoretical Representation of Relaxation Processes in Complex Spin System Using Liouville Space Method

  • Kyunglae Park
    • Bulletin of the Korean Chemical Society
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    • v.14 no.1
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    • pp.21-29
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    • 1993
  • For the study of relaxation processes in complex spin system, a general master equation, which can be used to simulate a vast range of pulse experiments, has been formulated using the Liouville representation of quantum mechanics. The state of a nonequilibrium spin system in magnetic field is described by a density vector in Liouville space and the time evolution of the system is followed by the application of a linear master operator to the density vector in this Liouville space. In this master equation the nuclear spin relaxation due to intramolecular dipolar interaction or randomly fluctuating field interaction is explicitly implemented as a relaxation supermatrix for a strong coupled two-spin (1/2) system. The whole dynamic information inherent in the spin system is thus contained in the density vector and the master operator. The radiofrequency pulses are applied in the same space by corresponding unitary rotational supertransformations of the density vector. If the resulting FID is analytically Fourier transformed, it is possible to represent the final nonstationary spectrum using a frequency dependent spectral vector and intensity determining shape vector. The overall algorithm including relaxation interactions is then translated into an ANSIFORTRAN computer program, which can simulate a variety of two dimensional spectra. Furthermore a new strategy is tested by simulation of multiple quantum signals to differentiate the two relaxation interaction types.

Linear Detection Method Based on Semi-Definite Relaxation of 16-QAM in MIMO Systems (MIMO 시스템에서 16-QAM의 Semi-Definite Relaxation에 기반을 둔 선형 검출 기법)

  • Lee, Ki-Jun;Byun, Youn-Shik
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.23 no.6
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    • pp.700-705
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    • 2012
  • This paper suggests the detecting method in which it uses the candidate symbol obtained through PI-SDR, the little computational complexity is required. By using the candidate symbol matrices obtained through PI-SDR, ZF and MMSE method was applied and the received signal was detected. The linear detecting method using PI-SDR candidate symbol is out of the performance than ML detecting method but the complexity is low. Because of using the symbol come close to the solution of ML, the proposed method's performance is better than the existing ZF and MMSE method.