• Title/Summary/Keyword: Differential Transformation Method

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Vibration Analysis of Multi Cracked Nonuniform Nanobeam by using Differential Transformation Method (미분변환법을 이용한 다중 크랙을 갖는 비균일 나노빔의 진동해석)

  • Shin, Young-Jae;Park, Sung-Hyun;Kim, Jin-Hong;Yoo, Yeong-Chan
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.20 no.5
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    • pp.93-101
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    • 2016
  • In this study, the governing equations of motion for multi-cracked nonuniform nanobeam based on nonlocal elasticity theory and embedded in an elastic medium were derived. DTM(differential transformation method) was applied to vibration analysis of multi-cracked nonuniform nanobeam based on nonlocal elasticity theory and embedded in an elastic medium. The non-dimensional natural frequencies of this nanobeam were obtained for eoe, crack stiffness and elastic medium stiffness with various boundary conditions. The results obtained by this method was compared with previous works and showed the close agreement between two methods. The important conclusions obtained by this study are as follows : 1. As the length of nanobeam is shorter, the effect of scale coefficient is greater. 2. The locations of crack change non-dimensional natural frequency, In the case of fixed-fixed ends, the non-dimensional natural frequency is the biggest in the first crack location of 0.6L of nanobeam length, and the smallest in both ends. In the case of fixed-free ends, the closer the location of first crack go tho the free end, the bigger the non-dimensional natural frequency. 3. As the stiffness of crack is greater, the non-dimensional natural frequency is smaller, And the effect of crack stiffness is similar on both fixed-free ends and fixed-fixed ends. 4. The bigger the stiffness of elastic medium, the greater the non - dimensional natural frequency.

Improvement in Bottom Detection for Hydroacoustic Assessment of Demersal Fish (저서어자원량의 음향추정에 있어서 해저검출 알고리즘에 관한 연구)

  • 황두진
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.36 no.3
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    • pp.186-194
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    • 2000
  • bottom as a reference basis, some theoretical elements which form bottom echoes during acoustic survey of demersal fish were considered. A stable bottom detection method based on maximum voltage difference, which was not influenced by variable levels and waveform transformation. The method has been shown to be effective using in-situ bottom echo waveforms and computer simulation data. A comparison between near-bottom SV profiles acquired in Funka Bay, Hokkaido, of Japan, the East China Sea and the Yellow Sea, of Korea, with the threshold method and maximum differential voltage method, shows that the SV obtained with the maximum differential voltage method is 4-6 dB higher than those with threshold method within 2m from the bottom.

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Fault Line Detection Methodology for Four Parallel Lines on the Same Tower

  • Li, Botong;Li, Yongli;Yao, Chuang
    • Journal of Electrical Engineering and Technology
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    • v.9 no.4
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    • pp.1217-1228
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    • 2014
  • A method for faulted line detection of four parallel lines on the same tower is presented, based on four-summing and double-differential sequences of one terminal current. Four-summing and double-differential sequences of fault current can be calculated using a certain transformation matrix for parameter decoupling of four parallel transmission lines. According to fault boundary conditions, the amplitude and phase characteristics of four-summing and double-differential sequences of fault current is studied under conditions of different types of fault. Through the analysis of the relationship of terminal current and fault current, a novel methodology for fault line detection of four parallel transmission line on the same tower is put forward, which can pick out the fault lines no matter the fault occurs in single line or cross double lines. Simulation results validate that the methodology is correct and reliable under conditions of different load currents, transient resistances and fault locations.

EXISTENCE OF SOLUTION OF FINITE SYSTEM OF ORDINARY DIFFERENTIAL EQUATIONS

  • Ohm, Mi-Ray
    • Bulletin of the Korean Mathematical Society
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    • v.31 no.2
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    • pp.309-318
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    • 1994
  • The approach presented in this paper is based on the transformation of the Stefan problem in one space dimension to an initial-boundary value problem for the heat equation in a fixed domain. Of course, the problem is non-linear. The finite element approximation adopted here is the standared continuous Galerkin method in time. In this paper, only the regular case is discussed. This means the error analysis is based on the assumption that the solution is sufficiently smooth. The aim of this paper is the existence of the solution in a finite Galerkin system of ordinary equations.

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Embedding a Signature to Pictures under Wavelet Transformation (웨이브렛변환을 이용한 영상으로의 서명데이터 삽입)

  • Do, Jae-Su
    • Convergence Security Journal
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    • v.7 no.1
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    • pp.83-89
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    • 2007
  • This paper is to suggest the method of embedding a signature to pictures secretly under the orthogonal wavelet transform which represents pictures as multi-resolution representations. As it is focused upon the differential output under the multi-resolution representation of pictures, this method can embed bit series to pictures. In doing so, it can compound approximately 6K byte of information with gray-level image $256{\times}256$. The method can include not only the database which designates copyright of pictures but also the author and usage of pictures, and the information of the picture itself. Therefore, this method can easily discriminate the inspection of picture database.

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Scaling laws for vibration response of anti-symmetrically laminated plates

  • Singhatanadgid, Pairod;Ungbhakorn, Variddhi
    • Structural Engineering and Mechanics
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    • v.14 no.3
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    • pp.345-364
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    • 2002
  • The scaling laws for vibration response of anti-symmetrically laminated plates are derived by applying the similitude transformation to the governing differential equations directly. With this approach, a closed-form solution of the governing equations is not required. This is a significant advantage over the method employed by other researchers where similitude transformation is applied to the closed-form solution. The scaling laws are tested by comparing the similitude fundamental frequencies to the theoretical fundamental frequencies determined from the available closed-form solutions. In case of complete similitude, similitude solutions from the scaling laws exactly agree with the theoretical solutions. Sometimes, it may not be feasible to select the model which obeys the similarity requirement completely, therefore partial similitude is theoretically investigated and approximate scaling laws are recommended. The distorted models in stacking sequences and laminated material properties demonstrate reasonable accuracy. On the contrary, a model with distortion in fiber angle is not recommended. The derived scaling laws are very useful to determine the vibration response of complex prototypes by performing the experiment on a model with required similarities.

The Detection of the Lane Curve using the Lane Model on the Image Coordinate Systems (이미지 좌표계상의 차선 모델을 이용한 차선 휨 검출)

  • 박종웅;이준웅;장경영;정지화;고광철
    • Transactions of the Korean Society of Automotive Engineers
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    • v.11 no.1
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    • pp.193-200
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    • 2003
  • This paper proposes a novel algorithm to recognize the curve of a structured road. The proposed algorithm uses an LCF (Lane Curve Function) obtained by the transformation of a parabolic function defined on world coordinate into image coordinate. Unlike other existing methods, the algorithm needs no transformation between world coordinate and image coordinate owing to the LCF. In order to search for an LCF describing the lane best, the differential comparison between the slope of an assumed LCF and the phase angle of edge pixels in the LROI (Lane Region Of Interest) constructed by the LCF is implemented. As finding the true LCF, the lane curve is determined. The proposed method is proved to be efficient through various kinds of images, providing the reliable curve direction and the valid curvature compared to the real road.

Design of robust servo systems and application to control of training simulator for radio-controlled helicopter (강인한 서보계설계와 R/C헬리콥터 트레이닝 시뮬레이터 제어에의 응용)

  • 김상봉;박순실
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.2
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    • pp.497-506
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    • 1991
  • In this paper, a new construction for training simulator of R/C helicopter based on two types of servo controller is proposed. Two modified algorithms (algorithm I and II) for servo controller design are presented. Algorithm I is developed by adopting Davison's method in the case that the expressions for the homogeneous differential equations of reference input and disturbance are different types, and algorithm II is done by considering error weighting function for the servo controller of algorithm I . The linear fractional transformation method is incorporated in both design methods in order to assign the closed loop poles of the servo system in a specified region. The helicopter simulator is composed by the gimbals with two freedom of rolling and pitching. The reliability and validity for the design methods of the proposed servo controller are investigated through the practical experiment for the simulator by using 16bits micro-computer with A/D and D/A converters. It can be observered from the experimental results that the proposed servo controller is applicable to practical plants since the simulator is robust for the arbitrary disturbance and it follows to the given reference input without significant steady state error.

Dynamic deflection monitoring of high-speed railway bridges with the optimal inclinometer sensor placement

  • Li, Shunlong;Wang, Xin;Liu, Hongzhan;Zhuo, Yi;Su, Wei;Di, Hao
    • Smart Structures and Systems
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    • v.26 no.5
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    • pp.591-603
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    • 2020
  • Dynamic deflection monitoring is an essential and critical part of structural health monitoring for high-speed railway bridges. Two critical problems need to be addressed when using inclinometer sensors for such applications. These include constructing a general representation model of inclination-deflection and addressing the ill-posed inverse problem to obtain the accurate dynamic deflection. This paper provides a dynamic deflection monitoring method with the placement of optimal inclinometer sensors for high-speed railway bridges. The deflection shapes are reconstructed using the inclination-deflection transformation model based on the differential relationship between the inclination and displacement mode shape matrix. The proposed optimal sensor configuration can be used to select inclination-deflection transformation models that meet the required accuracy and stability from all possible sensor locations. In this study, the condition number and information entropy are employed to measure the ill-condition of the selected mode shape matrix and evaluate the prediction performance of different sensor configurations. The particle swarm optimization algorithm, genetic algorithm, and artificial fish swarm algorithm are used to optimize the sensor position placement. Numerical simulation and experimental validation results of a 5-span high-speed railway bridge show that the reconstructed deflection shapes agree well with those of the real bridge.

On the Security of Rijndael-like Structures against Differential and Linear Cryptanalysis (Rijndael 유사 구조의 차분 공격과 선형 공격에 대한 안전성에 관한 연구)

  • 박상우;성수학;지성택;윤이중;임종인
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.12 no.5
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    • pp.3-14
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    • 2002
  • Rijndael-like structure is the special case of SPN structure. The linear transformation of Rijndael-like structure consisits of linear transformations of two types, the one is byte permutation $\pi$ and the other is linear tranformation $\theta$= ($\theta_1, \theta_2, \theta_3, \theta_4$), where each of $\theta_i$ separately operates on each of the four rows of a state. The block cipher, Rijndael is an example of Rijndael-like structures. In this paper. we present a new method for upper bounding the maximum differential probability and the maximum linear hull probability for Rijndael-like structures.