• Title/Summary/Keyword: differential transformation method

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The Effect of Milling Conditions on Microstructure and Phase Transformation Behavior of Ti-Ni Based Alloy Powders (Ti-Ni계 합금분말의 미세조직 및 상변태거동에 미치는 밀링조건의 영향)

  • 강상호;남태현
    • Journal of Powder Materials
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    • v.8 no.1
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    • pp.42-49
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    • 2001
  • Ti-50Ni(at%) and Ti-40Ni-10Cu(at%) alloy powders have been fabricated by ball milling method, and their microstructure and phase transformation behavior were investigated by means of scanning electron microscopy/energy dispersive spectrometry, differential scanning calorimetry (DSC), X-ray diffractions and transmission electron microscopy. In order to investigate the effect of ball milling conditions on transformation behavior, ball milling speed and time were varied. Ti-50Ni alloy powders fabricated with the milling speed more than 250 rpm were amorphous, while those done with the milling speed of 100rpm were crystalline. In contrast to Ti-50Ni alloy powders, Ti-40Ni-10Cu alloy powders were crystalline, irrespective of ball milling conditions. DSC peaks corresponding to martensitic transformation were almost discernable in alloy powders fabricated with the milling speed more than 250 rpm, while those were seen clearly in alloy powders fabricated with the milling speed of 100 rpm. This was attributed to the fact that a strain energy introduced during ball milling suppressed martensitic transformation.

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A Study on Control of Mobile Cranes (이동 CRANE의 제어에 관한 연구)

  • Kim, Sang-Bong;Shin, Min-Saeng;Kim, Hwan-Seong;Jeong, Yong-Gil
    • Journal of the Korean Society for Precision Engineering
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    • v.8 no.2
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    • pp.47-56
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    • 1991
  • The specifications needed for the mobile cranes are summarized as the following : 1) there may be not occured the oscillation of the cargo at unloading point. 2)the required time from departure point to destination point may be as short as possible. 3) there may be not a collapse of cargo caused by the oscillation in the course that the crago is mobilling. In this paper, the linear fractional transformation method is adopted as a method in order to improve the above mentioned problems. A design method of servo system is developed by modifying Davison's method for the case that the homogeneous differential equations of reference input and disturbance are different types. The real time control of a mobile crane system is implemented by 16bits microcomputer with A/D and D/A converters to illustrate the application of the adopted method. The experimental results for the three types of the design methods; linear fractional transformation method, servo system design method and optimal control method are shown for the comparison.

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An Analysis on Face Recognition system of Housdorff Distance and Hough Transform (Housdorff Distance 와 Hough Transform을 적용한 얼굴인식시스템의 분석)

  • Cho, Meen-Hwan
    • Journal of the Korea Computer Industry Society
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    • v.8 no.3
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    • pp.155-166
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    • 2007
  • In this paper, captured face-image was pre-processing, segmentation, and extracting features from thinning by differential operator and minute-delineation. A straight line in slope-intercept form was transformed at the $r-\theta$ domain using Hough Transform, instead of Housdorff distance are extract feature as length, rotation, displacement of lines from thinning line components by differentiation. This research proposed a new approach compare with Hough Transformation and Housdorff Distance for face recognition so that Hough transform is simple and fast processing of face recognition than processing by Housdorff Distance. Rcognition accuracy rate is that Housdorff method is higher than Hough transformation's method.

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The Haar Function Approach for the Unknown Input Observer Design (미지입력 관측기 설계를 위한 하알함수 접근법)

  • 김진태;이한석;임윤식;김종부;이명규
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.40 no.3
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    • pp.117-126
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    • 2003
  • This paper proposes a real-time application of Walsh functions which is based on the on-line Walsh transformation and on-line Walsh function's differential operation. In the existing method of orthogonal functions, a major disadvantage is that process signals need to be recorded prior to obtaining their expansions. This paper proposes a novel method of Walsh transformation to overcome this shortcoming. And the proposed method apply to the unknown inputs observer(UIO) design for linear time-invariant dynamical systems

An Upper Bound of the Longest Impossible Differentials of Several Block Ciphers

  • Han, Guoyong;Zhang, Wenying;Zhao, Hongluan
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.13 no.1
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    • pp.435-451
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    • 2019
  • Impossible differential cryptanalysis is an essential cryptanalytic technique and its key point is whether there is an impossible differential path. The main factor of influencing impossible differential cryptanalysis is the length of the rounds of the impossible differential trail because the attack will be more close to the real encryption algorithm with the number becoming longer. We provide the upper bound of the longest impossible differential trails of several important block ciphers. We first analyse the national standard of the Russian Federation in 2015, Kuznyechik, which utilizes the 16-byte LFSR to achieve the linear transformation. We conclude that there is no any 3-round impossible differential trail of the Kuznyechik without the consideration of the specific S-boxes. Then we ascertain the longest impossible differential paths of several other important block ciphers by using the matrix method which can be extended to many other block ciphers. As a result, we show that, unless considering the details of the S-boxes, there is no any more than or equal to 5-round, 7-round and 9-round impossible differential paths for KLEIN, Midori64 and MIBS respectively.

Classes of exact solutions for several static and dynamic problems of non-uniform beams

  • Li, Q.S.
    • Structural Engineering and Mechanics
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    • v.12 no.1
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    • pp.85-100
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    • 2001
  • In this paper, an analytical procedure for solving several static and dynamic problems of non-uniform beams is proposed. It is shown that the governing differential equations for several stability, free vibration and static problems of non-uniform beams can be written in the from of a unified self-conjugate differential equation of the second-order. There are two functions in the unified equation, unlike most previous researches dealing with this problem, one of the functions is selected as an arbitrary expression in this paper, while the other one is expressed as a functional relation with the arbitrary function. Using appropriate functional transformation, the self-conjugate equation is reduced to Bessel's equation or to other solvable ordinary differential equations for several cases that are important in engineering practice. Thus, classes of exact solutions of the self-conjugate equation for several static and dynamic problems are derived. Numerical examples demonstrate that the results calculated by the proposed method and solutions are in good agreement with the corresponding experimental data, and the proposed procedure is a simple, efficient and exact method.

The Integration of GIS with LANDSAT TM Data for Ground Water Potential Area Mapping (I) - Extraction of the Ground Water Potential Area using LANDSAT TM Data - (지하수 부존 가능지역 추출을 위한 LANDSAT TM 자료와 GIS의 통합(I) - LANDSAT TM 자료에 의한 지하수 부존 가능지역 추출 -)

  • 지종훈
    • Korean Journal of Remote Sensing
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    • v.7 no.1
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    • pp.29-43
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    • 1991
  • The study was performed to extraction the ground water potential area using LANDSAT TM data. The image processing techniques developed for the study are contrast transformation, differential filtering and pseudo stereoscopic image methods. These were examined for lineament extraction, lineament interpretation and the integration of vertor data with LANDSAT data. The differential filtering method is much usefull for lineament extraction, and all direction lineaments are clearly shown on the band 5 image of LANDSAT TM. The pseudo stereoscopic image are made in which color differential method is adopted, the pair images are usefull for the lineament interpretation. The results of the analysis are as follows. 1) there is a close correlation between lineament and cased well in the study area, because 33 wells of the developed 45 cased wells coincide with the lineaments. 2) 21 sites in the study area were selected for pumping test, and as a result 11 sites of them produces over than 200 ton/day.

Unsteady Groundwater Flow in Aquifer (대수층의 부정류에 관한 연구)

  • 이정규
    • Water for future
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    • v.22 no.2
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    • pp.233-239
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    • 1989
  • The partial differential equation of the groundwater flow was reduced to an ordinary differential equation by the Boltzmann transformation. Its numerical solutions were obtained by the finite difference method and the new method to get the initial missing slope using the Richardson method and the finite difference equation was proposed. The solutions computed by the newly proposed method were compared with investigator's computations and they showed a satisfactory agreement and that the proposed method is easy and simple to get solutions.

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Vibration and Buckling of the Rectangular Plate Loaded by Varying In-plane Stress (변분포 평면응력을 받는 직사각형 판의 진동과 좌굴 해석)

  • 신영재;윤종학;황기섭;지영철;로엘
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2004.05a
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    • pp.651-656
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    • 2004
  • This paper presents the application of Differential Transformation to the bucking load and the vibration problem of the rectangular plate loaded by varying in-plane stress. Numerical calculations are carried out and compared with previously published results to validate the results of the resent method. The results obtained by this method agree well with those reported in the Devious works. The results obtained by the present method are presented for various non-uniform loads.

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Dynamic characteristics of hygro-magneto-thermo-electrical nanobeam with non-ideal boundary conditions

  • Ebrahimi, Farzad;Kokaba, Mohammadreza;Shaghaghi, Gholamreza;Selvamani, Rajendran
    • Advances in nano research
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    • v.8 no.2
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    • pp.169-182
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    • 2020
  • This study presents the hygro-thermo-electromagnetic mechanical vibration attributes of elastically restrained piezoelectric nanobeam considering effects of beam surface for various elastic non-ideal boundary conditions. The nonlocal Eringen theory besides the surface effects containing surface stress, surface elasticity and surface density are employed to incorporate size-dependent effects in the whole of the model and the corresponding governing equations are derived using Hamilton principle. The natural frequencies are derived with the help of differential transformation method (DTM) as a semi-analytical-numerical method. Some validations are presented between differential transform method results and peer-reviewed literature to show the accuracy and the convergence of this method. Finally, the effects of spring constants, changing nonlocal parameter, imposed electric potential, temperature rise, magnetic potential and moisture concentration are explored. These results can be beneficial to design nanostructures in diverse environments.