• Title/Summary/Keyword: Time differential method

검색결과 875건 처리시간 0.022초

The dynamic stability of a nonhomogeneous orthotropic elastic truncated conical shell under a time dependent external pressure

  • Sofiyev, A.H.;Aksogan, O.
    • Structural Engineering and Mechanics
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    • 제13권3호
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    • pp.329-343
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    • 2002
  • In this research, the dynamic stability of an orthotropic elastic conical shell, with elasticity moduli and density varying in the thickness direction, subject to a uniform external pressure which is a power function of time, has been studied. After giving the fundamental relations, the dynamic stability and compatibility equations of a nonhomogeneous elastic orthotropic conical shell, subject to a uniform external pressure, have been derived. Applying Galerkin's method, these equations have been transformed to a pair of time dependent differential equations with variable coefficients. These differential equations are solved using the method given by Sachenkov and Baktieva (1978). Thus, general formulas have been obtained for the dynamic and static critical external pressures and the pertinent wave numbers, critical time, critical pressure impulse and dynamic factor. Finally, carrying out some computations, the effects of the nonhomogeneity, the loading speed, the variation of the semi-vertex angle and the power of time in the external pressure expression on the critical parameters have been studied.

Transient linear elastodynamic analysis in time domain based on the integro-differential equations

  • Sim, Woo-Jin;Lee, Sung-Hee
    • Structural Engineering and Mechanics
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    • 제14권1호
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    • pp.71-84
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    • 2002
  • A finite element formulation for the time-domain analysis of linear transient elastodynamic problems is presented based on the weak form obtained by applying the Galerkin's method to the integro-differential equations which contain the initial conditions implicitly and does not include the inertia terms. The weak form is extended temporally under the assumptions of the constant and linear time variations of field variables, since the time-stepping algorithms such as the Newmark method and the Wilson ${\theta}$-method are not necessary, obtaining two kinds of implicit finite element equations which are tested for numerical accuracy and convergency. Three classical examples having finite and infinite domains are solved and numerical results are compared with the other analytical and numerical solutions to show the versatility and accuracy of the presented formulation.

Differential Mobility Analyzer(DMA)와 Condensation Nuclei Counter(CNC)를 이용한 입자크기 분포 측정에서 샘플링 튜브와 CNC에서의 혼합 효과가 입자 크기 분포 측정에 미치는 영향에 관한 연구 (Study on the Contribution of Mixing Effects in Sampling Tube and Condensation Nuclei Counter(CNC) to the measurement of size distribution obtained using Differential Mobility Analyzer and CNC)

  • 이윤수;안강호
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집D
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    • pp.104-109
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    • 2001
  • The time to measure the size distribution using Condensation Nuclei Counter(CNC) and Differential Mobility Analyzer(DMA) can be shortened by classifying particles ramping the DMA voltage exponentially and continuously. In measurement, particles sampled at different time are mixed together going through sampling tube and CNC. Because the size distribution is inversed by using detector responses to sampling time intervals in this accelerated method, the mixing effects give inversion errors to the size distribution. The mixing effects can be considered by appling the transfer function with mixing effects to the data inversion. The inversion considering this effects gives birth to the size distribution shifted to the opposite direction of the size scanning.

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Differential Demodulation of GMSK in Rayleigh fading Channels

  • Choi, Joong-Ho;Han, Young-Yeul
    • 한국통신학회논문지
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    • 제16권2호
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    • pp.137-144
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    • 1991
  • A new demodulation scheeme for differentially encoded GMSK signal is introduced and described. In the proposed differential detection method, the signal is sampled at the center of the time slot, at which the effect of the intersymbol interference is relatively smaller than the edge of the time slot. The proposed differential detector takes this adbantate. The error rate performance of the differential detector has been numerically calculated in the fast fading encountered in the land mobile radio channels. A comparison of performance with the differential detector for MSK signal is given. Finally the possibility of improving performance employing nonredudant error correction is studied.

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Model Reference Adaptive Control of a Time-Varying Parabolic System

  • Hong, Keum-Shik;Yang, Kyung-Jinn;Kang, Dong-Hunn
    • Journal of Mechanical Science and Technology
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    • 제14권2호
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    • pp.168-176
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    • 2000
  • Related to the error dynamics of an adaptive system, averaging theorems are developed for coupled differential equations which consist of ordinary differential equations and a parabolic partial differential equation. The results are then applied to the convergence analysis of the parameter estimate errors in the model reference adaptive control of a nonautonomous parabolic partial differential equation with lowly time-varying parameters.

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A TWO-DIMENSIONAL FINITE VOLUME METHOD FOR TRANSIENT SIMULATION OF TIME- AND SCALE-DEPENDENT TRANSPORT IN HETEROGENEOUS AQUIFER SYSTEMS

  • Liu, F.;Turner, I.;Ahn, V.;Su, N.
    • Journal of applied mathematics & informatics
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    • 제11권1_2호
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    • pp.215-241
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    • 2003
  • In this paper, solute transport in heterogeneous aquifers using a modified Fokker-Planck equation (MFPE) is investigated. This newly developed mathematical model is characterised with a time-, scale-dependent dispersivity. A two-dimensional finite volume quadrilateral mesh method (FVQMM) based on a quadrilateral background interpolation mesh is developed for analysing the model. The FVQMM transforms the coupled non-linear partial differential equations into a system of differential equations, which is solved using backward differentiation formulae of order one through five in order to advance the solution in time. Three examples are presented to demonstrate the model verification and utility. Henry's classic benchmark problem is used to show that the MFPE captures significant features of transport phenomena in heterogeneous porous media including enhanced transport of salt in the upper layer due to its parameters that represent the dependence of transport processes on scale and time. The time and scale effects are investigated. Numerical results are compared with published results on the some problems.

의미분석법에 의한 과학자 이미지 측정도구 개발 및 적용 (Development and Application of a Tool for Measuring on a Scientist Image by the Semantic Differential Method)

  • 송영욱;최혁준
    • 과학교육연구지
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    • 제48권1호
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    • pp.63-73
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    • 2024
  • 학습자들이 가지고 있는 교과관련 직업에 대한 이미지를 아는 것은 교사의 교수·학습의 방향성을 결정하는 좋은 자료가 된다. 기존의 그리기 이미지 분석도구는 과학자의 외형적인 이미지 및 그림을 분석하는 데 오랜 시간이 소요된다는 한계점이 있었다. 의미분석법은 특정 대상의 이미지를 분석하는데 널리 사용되는 방법이다. 그러나 의미분석법을 활용한 연구는 초창기 연구에서 사용한 형용사쌍을 연구 내용에 맞추어 그대로 사용함으로써 시대 변화에 따른 용어나 요인들을 반영하지 못하는 한계점이 있었다. 이 연구에서는 의미분석법을 활용하여 중등학생의 과학자에 대한 이미지 측정도구를 개발하고, 이를 중학생에게 적용하여 과학자 이미지 측정도구 활용의 유용성에 대한 교육적 시사점을 논의한다.

회전쉘의 동적 특성에 관한 연구 (Dynamic Characteristics of Revolution Shells)

  • Park, Sung-Jin
    • 한국재난정보학회 논문집
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    • 제10권1호
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    • pp.123-140
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    • 2014
  • 회전쉘의 정적문제 및 동적문제에 대해서 선점법에 의한 공간영역의 이산화에 대한 유효성을 비교 검토하였고, 정식화에 있어서 이산화 후의 연립방정식 및 시간에 관한 연립상미분방정식의 계수행렬에 대한 영향을 검토하였다. 수치해석법에는 동적특성의 문제를 간단하고 효과적인 방법을 위하여 선점법을 제안하였으며, 수치해석예로서 평균2승잔차법과의 비교검토로 고정도의 해석을 위한 정확성을 검증하였다.

On a new fourth order self-adaptive time integration algorithm

  • Zhong, Wanxie;Zhu, Jianping
    • Structural Engineering and Mechanics
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    • 제4권6호
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    • pp.589-600
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    • 1996
  • An explicit 4th order time integration scheme for solving the convection-diffusion equation is discussed in this paper. A system of ordinary differential equations are derived first by discretizing the spatial derivatives of the relevant PDE using the finite difference method. The integration of the ODEs is then carried out using a 4th order scheme and a self-adaptive technique based on the spatial grid spacing. For a non-uniform spatial grid, different time step sizes are used for the integration of the ODEs defined at different spatial points, which improves the computational efficiency significantly. A numerical example is also discussed in the paper to demonstrate the implementation and effectiveness of the method.

154 kV 변압기 보호용 비율차동계전기 오동작 방지를 위한 2고조파 억제 방식의 적용방법 및 정정값에 관한 연구 (A Study on the 2nd Harmonic Blocking Scheme and Setting Value of a Current Differential Relay for 154 kV Transformers to Prevent Maloperation)

  • 손용범;강상희
    • 전기학회논문지
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    • 제67권1호
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    • pp.29-37
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    • 2018
  • Inrush current and fault current in a transformer need to be distinguished from one another. In order to do this, KEPCO uses a 2nd harmonic restraint/block method. We use two setting values for 2nd harmonic restraint; 15% and 10%. We also apply per-phase blocking method among various harmonic restraint methods. If the transformer is located at the radial system, we adjust 10% in the 2nd harmonic restraint, but this method is not enough to prevent mal-operations of the current differential relay and let us spend more time to change setting value again as the power system changes. In this paper, a more reasonable setting value for a 2nd harmonic blocking scheme in KEPCO is proposed. To present a proposed method, the fault data of the current differential relays which have occurred since 2009 are analyzed. To evaluate the performance of the proposed method, the results of the RTDS test for the current differential relay of the transformer by KEPCO are analyzed.