• Title/Summary/Keyword: Differential analysis

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Vibration Analysis for Beams on Variable Two-Parameter Elastic Foundations Using Differetial Transformation (Differential Transformation에 의한 가변 2 파라미터 탄성기초에 설치된 보의 진동해석)

  • 신영재;김재호;황정기
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.11 no.8
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    • pp.357-363
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    • 2001
  • This paper presents the application of the technique Q( differential transformation to the vibration analysis of beams resting on variable two-parameter elastic foundations. The closed form series solutions for beams are obtained for various boundary conditions. Numerical calculations are carried out and compared with previously published results. The results obtained by the present method agree very well with those reported in the previous works. The present analysis shows the usefulness and validity of differential transformation in solving nonlinear problem of the free vibration.

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Analysis of Students' Use of Metaphor: The Case of a RME-Based Differential Equations Course

  • Ju, Mi-Kyung;Kwon, Oh-Nam
    • Research in Mathematical Education
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    • v.8 no.1
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    • pp.19-30
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    • 2004
  • This research applies the discursive approach to investigate the social transformation of students' conceptual model of differential equations. The analysis focuses on the students' use of metaphor in class in order to find kinds of metaphor used, their characteristics, and a pattern in the use of metaphor. Based on the analysis, it is concluded that the students' conceptual model of differential equations gradually becomes transformed with respect to the historical and cultural structure of the communal practice of mathematics. The findings suggest that through participating in the daily practice of mathematics as a historical and cultural product, a learner becomes socially transformed to a certain kind of a cultural being with historicity. This implies that mathematics education is concerned with the formation of historical and cultural identity at a fundamental level.

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Analysis of Differential Shortening of Reinforced Concrete High - Rise Building (철근콘크리트 고층 건물의 부등 수직변위 해석)

  • 신영수;성렬영;신성우
    • Proceedings of the Korea Concrete Institute Conference
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    • 1993.04a
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    • pp.142-147
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    • 1993
  • In the reinforced concrete structure, as the height of building structure increases, the accurate estimation of differential column shortening is important factor in the structural design. In this study, the analysis of column shortening is applied to 36-story building structure to be built in time. As a result, it may found that, as the difference of compressive stress become larger, differential shortening effect due to creep and shrinkage are more signicant factor to structural designer.

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A STUDY ON SINGULAR INTEGRO-DIFFERENTIAL EQUATION OF ABEL'S TYPE BY ITERATIVE METHODS

  • Behzadi, Sh.S.;Abbasbandy, S.;Allahviranloo, T.
    • Journal of applied mathematics & informatics
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    • v.31 no.3_4
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    • pp.499-511
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    • 2013
  • In this article, Adomian decomposition method (ADM), variation iteration method(VIM) and homotopy analysis method (HAM) for solving integro-differential equation with singular kernel have been investigated. Also,we study the existence and uniqueness of solutions and the convergence of present methods. The accuracy of the proposed method are illustrated with solving some numerical examples.

Analysis of Beam Resting on Hyperbolic Winkler Elastic Foundation by Differential Transformation (미분 변환법에 의한 쌍곡선형태 Winkler 탄성 지반상의 보 해석)

  • Shin, Yung-Jae;Yun, Jong-Hak;Jaun, Su-Ju
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.11b
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    • pp.1060-1065
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    • 2002
  • In this paper, the numerical analysis of beam rest ing on hyperbolic Winkler elastic foundation by differential transformation is performed. Accordig to the change of parameter of hyperbolic Winkler elastic foundation, beam deformation is computed when the boundary conditions are clamped-clamped, pined-pined and clamped-free.

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Analysis of Beam Resting on Hyperbolic Winkler Elastic Foundation by Differential Transformation (미분 변환법에 의한 쌍곡선형태 Winkler 탄성 지반상의 보 해석)

  • Shin, Young-Jae;Yun, Jong-Hak;Jaun, Su-Ju
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.11a
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    • pp.402.2-402
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    • 2002
  • In this paper, the numerical analysis of beam resting on hyperbolic Winkler elastic foundation by differential transformation is performed. Accordig to the change of parameter of hyperbolic Winkler elastic foundation, beam deformation is computed when the boundary conditions are clamped-clamped, pined-pined and clamped-free.

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Differential quadrature method for free vibration analysis of coupled shear walls

  • Bozdogan, K.B.
    • Structural Engineering and Mechanics
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    • v.41 no.1
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    • pp.67-81
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    • 2012
  • Differential Quadrature Method (DQM) is a powerful method which can be used to solve numerical problems in the analysis of structural and dynamical systems. In this study the governing equation which represents the free vibration of coupled shear walls is solved using the DQM method. A one-dimensional model has been used in this study. At the end of study various examples are presented to verify the accuracy of the method.

Minimization of differential column shortening and sequential analysis of RC 3D-frames using ANN

  • Njomo, Wilfried W.;Ozay, Giray
    • Structural Engineering and Mechanics
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    • v.51 no.6
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    • pp.989-1003
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    • 2014
  • In the preliminary design stage of an RC 3D-frame, repeated sequential analyses to determine optimal members' sizes and the investigation of the parameters required to minimize the differential column shortening are computational effort consuming, especially when considering various types of loads such as dead load, temperature action, time dependent effects, construction and live loads. Because the desired accuracy at this stage does not justify such luxury, two backpropagation feedforward artificial neural networks have been proposed in order to approximate this information. Instead of using a commercial software package, many references providing advanced principles have been considered to code a program and generate these neural networks. The first one predicts the typical amount of time between two phases, needed to achieve the minimum maximorum differential column shortening. The other network aims to prognosticate sequential analysis results from those of the simultaneous analysis. After the training stages, testing procedures have been carried out in order to ensure the generalization ability of these respective systems. Numerical cases are studied in order to find out how good these ANN match with the sequential finite element analysis. Comparison reveals an acceptable fit, enabling these systems to be safely used in the preliminary design stage.

Differential Fault Analysis on AES by Recovering of Intermediate Ciphertext (중간 암호문 복구 방법을 이용한 AES 차분오류공격)

  • Baek, Yi-Roo;Gil, Kwang-Eun;Park, Jea-Hoon;Moon, Sang-Jae;Ha, Jae-Cheol
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.19 no.5
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    • pp.167-174
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    • 2009
  • Recently, Li et al. proposed a new differential fault analysis(DFA) attack on the block cipher ARIA using about 45 ciphertexts. In this paper, we apply their DFA skill on AES and improve attack method and its analysis. The basic idea of our DFA method is that we recover intermediate ciphertexts in last round using final faulty ciphertexts and find out last round secret key. In addition, we present detail DFA procedure on AES and analysis of complexity. Furthermore computer simulation result shows that we can recover its 128-bit secret key by introducing a correct ciphertext and 2 faulty ciphertexts.

Automatic Velocity Analysis by using an High-resolution Bootstrapped Differential Semblance Method (고해상도 Bootstrapped Differential Semblance를 이용한 자동 속도분석)

  • Choi, Hyungwook;Byun, Joongmoo
    • Geophysics and Geophysical Exploration
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    • v.16 no.4
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    • pp.225-233
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    • 2013
  • The accuracy of the automatic NMO velocity analysis, which is used for an effective and objective NMO velocity analysis, is highly affected by the velocity resolution of the velocity spectrum. In this study, we have developed an automatic NMO velocity algorithm, where the velocity spectra are created using high-resolution bootstrapped differential semblance (BDS), and the velocity analysis on CMP gathers is performed in parallel with MPI. We also compared the velocity models from the developed automatic NMO velocity algorithm with high-resolution BDS to those from BDS. To verify the developed automatic velocity analysis module we created synthetic seismic data from a velocity model including horizon layers. We confirmed that the developed automatic velocity analysis module estimated velocity more accurately. In addition, NMO velocity which yielded a CMP stacked section, where the coherency of the events were improved, was estimated when the developed module was applied to a marine field data set.