• 제목/요약/키워드: Differential Transformation Method

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The Effect of Grain Size and Cooling Rate on Phase Transformation for Mechanically Alloyed Ni-36at.%Al Alloy (기계적 합금화된 Ni-36at.%Al 합금의 상변태에 미치는 결정립 크기 및 냉각속도의 영향)

  • Kim, Seong-Uk;Kim, Dae-Geon;Kim, Ji-Sun;An, In-Seop;Kim, Yeong-Do
    • Korean Journal of Materials Research
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    • v.10 no.9
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    • pp.642-647
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    • 2000
  • Nanocrystalline NiAl alloy containing 36at.%Al was synthesized by mechanical alloying (MA). Synthesized powder was sintered by a pulse electric current sintering (PECS) facility. Effecting parameters on the phase transformation were discussed in terms of cooling rate and time spent on heat treatment. The behavior of phase transformation for sintered parts was examined by differential scanning calorimetry (DSC) and X-ray diffraction (XRD) method. Microstructure was observed by scanning electron microscopy (SEM). Martensitic lattice parameter and volume fraction was calculated by direct comparison method in X-ray diffraction analysis.

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On Extending JPEG Compression Method Using Line-based Differential Coding (행/열 단위 증분 부호화를 이용한 JPEG 압축 기법 확장에 관한 연구)

  • Park, Dae-Hyun;Ahn, Young-Hoon;Shin, Hyun-Joon;Wee, Young-Cheul
    • Journal of the Korea Computer Graphics Society
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    • v.15 no.3
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    • pp.11-18
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    • 2009
  • In this paper, we introduce a novel method to extend the JPEG standard, which is the most widely used for lossy image compression, in order to improve compression ratio. To employ two of the most successful methodologies for the data compression: differential coding and quantization simultaneously, we propose a line-based approach. For each line in a block, we apply one-dimensional discrete cosine transformation to the increments instead of the pixel values. Those values are quantized and entropy-coded similarly to the JPEG standard. To further increase compression ratio, the proposed method is plugged into the JPEG standard to form a new compression method, in which the proposed method are applied to only selected JPEG blocks. In our experiment, we found that the proposed method outperform the JPEG standard when the qualities of the coded images are set to be high. We believe the proposed method can be simply plugged into the standard to improve its compression ratio for higher quality images.

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Stochastic optimal control analysis of a piezoelectric shell subjected to stochastic boundary perturbations

  • Ying, Z.G.;Feng, J.;Zhu, W.Q.;Ni, Y.Q.
    • Smart Structures and Systems
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    • v.9 no.3
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    • pp.231-251
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    • 2012
  • The stochastic optimal control for a piezoelectric spherically symmetric shell subjected to stochastic boundary perturbations is constructed, analyzed and evaluated. The stochastic optimal control problem on the boundary stress output reduction of the piezoelectric shell subjected to stochastic boundary displacement perturbations is presented. The electric potential integral as a function of displacement is obtained to convert the differential equations for the piezoelectric shell with electrical and mechanical coupling into the equation only for displacement. The displacement transformation is constructed to convert the stochastic boundary conditions into homogeneous ones, and the transformed displacement is expanded in space to convert further the partial differential equation for displacement into ordinary differential equations by using the Galerkin method. Then the stochastic optimal control problem of the piezoelectric shell in partial differential equations is transformed into that of the multi-degree-of-freedom system. The optimal control law for electric potential is determined according to the stochastic dynamical programming principle. The frequency-response function matrix, power spectral density matrix and correlation function matrix of the controlled system response are derived based on the theory of random vibration. The expressions of mean-square stress, displacement and electric potential of the controlled piezoelectric shell are finally obtained to evaluate the control effectiveness. Numerical results are given to illustrate the high relative reduction in the root-mean-square boundary stress of the piezoelectric shell subjected to stochastic boundary displacement perturbations by the optimal electric potential control.

A FREQUENCY-DOMAIN METE10D FOR FINITE ELEMENT SOLUTIONS OF PARABOLIC PROBLEMS

  • Lee, Chang-Ock;Lee, Jongwoo;Sheen, Dongwoo
    • Bulletin of the Korean Mathematical Society
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    • v.39 no.4
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    • pp.589-606
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    • 2002
  • We introduce and analyze a frequency-domain method for parabolic partial differential equations. The method is naturally parallelizable. After taking the Fourier transformation of given equations in the space-time domain into the space-frequency domain, we propose to solve an indefinite, complex elliptic problem for each frequency. Fourier inversion will then recover the solution in the space-time domain. Existence and uniqueness as well as error estimates are given. Fourier invertibility is also examined. Numerical experiments are presented.

Nonlinear forced vibration of sandwich plate with considering FG core and CNTs reinforced nano-composite face sheets

  • Rostami, Rasoul;Rahaghi, Mohsen Irani;Mohammadimehr, Mehdi
    • Smart Structures and Systems
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    • v.26 no.2
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    • pp.185-193
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    • 2020
  • Nonlinear vibration of sandwich plate with functionally graded material (FGM) core and carbon nano tubes reinforced (CNTs) nano-composite layers by considering temperature-dependent material properties are studied in this paper. Base on Classical plate theory (CPT), the governing partial differential equations of motion for sandwich plate are derived using Hamilton principle. The Galerkin procedure and multiple scales perturbation method are used to find relation between nonlinear frequency and amplitude of vibration response. The dynamic responses of the sandwich plate are also investigated in both time and frequency domains. Then, the effects of nonlinearity, excitation, power law index of FG core, volume fraction of carbon nanotube, the function of material variations of FG core, temperature changes, scale transformation parameter and damping factor on the frequency responses are investigated.

Evaluation on the Applicability as Filler materials of Ni-Based Super Alloying Nano Size Powder by Pulsed Wire Evaporation(PWE) Method (전기폭발법으로 제조된 니켈기 초내열합금 나노분말의 용가재로의 응용가능성에 관한 평가)

  • Kim, Gyeong-Ho;Lee, Min-Gu;Kim, Gwang-Ho;Lee, Chang-Gyu;Kim, Heung-Hui
    • Proceedings of the KWS Conference
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    • 2005.11a
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    • pp.168-170
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    • 2005
  • Nickel base brazes containing boron and silicon as melting point depressants are used extensively in the joining and repair of hot-section components in next generation nuclear reactor and aero-engine. Therefore, the present study has investigated the preliminary applicability of nickel based alloying nano powders. Nano Ni-based alloying powders synthesized by Pulsed Wire Evaporation (PWE) method. It's powder morphology and phase transformation temperature were analyzed by scanning electron microscopy, transmission electron microscopy, and differential scanning calorimeter(DSC). The powder particle size was approximately 10${\sim}$100nm and exhibits a quite even equiaxed shape. The results of DSC measurement show that both the nano Inconel 625 nano powder and Inconel 718 nano powder presents similar liquidus temperatures approximately $1373^{\circ}C$ and $1380^{\circ}C$ respectively.

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Utilization of the bar gene to develop an efficient method for detection of the pollen-mediated gene flow in Chinese cabbage (Brassica rapa spp. pekinensis)

  • Lim, Chaewan;Kim, Sunggil;Choi, Yeonok;Park, Young-doo;Kim, Sung Uk;Sung, Soon-Kee
    • Plant Biotechnology Reports
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    • v.1 no.1
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    • pp.19-25
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    • 2007
  • To develop an efficient screening method for detection of the transgene in Chinese cabbage (Brassica rapa spp. pekinensis) utilizing Basta spray, optimal conditions for Basta application were examined in this study. Two transgenic Chinese cabbage lines were obtained through Agrobacterium-mediated transformation and used as transgenic positive controls in the Basta screening experiment. Differential concentrations of glufosinate-ammonium were sprayed into three different growth stages of 12 commercial Chinese cabbage cultivars. The results showed that no plants could survive higher than 0.05% glufosinate-ammonium, and plants at the 2-3 leaf stage were most vulnerable to glufosinate-ammonium. On the other hand, no damage was observed in the transgenic control plants. Reliability of the Basta spray method was proven by showing perfect co-segregation of the tolerance to glufosinate-ammonium and the presence of the bar gene in T1 segregating populations of the transgenic lines, as revealed by both PCR and Southern blot analyses. Using the developed Basta screening method, we tried to investigate the transgene flow through pollen dispersal, but failed to detect any transgene-containing non-transgenic Chinese cabbages whose parents had been planted adjacent to transgenic Chinese cabbages in field conditions. However, the transgene was successfully detected using Basta spray from the non-transgenic plants bearing the transgene introduced by hand-pollination. Since the Basta spray method developed in this study is easy to apply and economical, it will be a valuable tool for understanding the mechanism of gene flow through pollen transfer and for establishing a biosafety test protocol for genetically modified (GM) Chinese cabbage cultivars.

An Improved Poincaré-like Carleman Linearization Approach for Power System Nonlinear Analysis

  • Wang, Zhou-Qiang;Huang, Qi;Zhang, Chang-Hua
    • Journal of Electrical Engineering and Technology
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    • v.8 no.2
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    • pp.271-281
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    • 2013
  • In order to improve the performance of analysis, it is important to consider the nonlinearity in power system. The Carleman embedding technique (linearization procedure) provides an effective approach in reduction of nonlinear systems. In the approach, a group of differential equations in which the state variables are formed by the original state variables and the vector monomials one can build with products of positive integer powers of them, is constructed. In traditional Carleman linearization technique, the tensor matrix is truncated to form a square matrix, and then regular linear system theory is used to solve the truncated system directly. However, it is found that part of nonlinear information is neglected when truncating the Carleman model. This paper proposes a new approach to solve the problem, by combining the Poincar$\acute{e}$ transformation with the Carleman linearization. Case studies are presented to verify the proposed method. Modal analysis shows that, with traditional Carleman linearization, the calculated contribution factors are not symmetrical, while such problems are avoided in the improved approach.

Efficient analysis of SSI problems using infinite elements and wavelet theory

  • Bagheripour, Mohamad Hossein;Rahgozar, Reza;Malekinejad, Mohsen
    • Geomechanics and Engineering
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    • v.2 no.4
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    • pp.229-252
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    • 2010
  • In this paper, Soil-Structure Interaction (SSI) effect is investigated using a new and integrated approach. Faster solution of time dependant differential equation of motion is achieved using numerical representation of wavelet theory while dynamic Infinite Elements (IFE) concept is utilized to effectively model the unbounded soil domain. Combination of the wavelet theory with IFE concept lead to a robust, efficient and integrated technique for the solution of complex problems. A direct method for soil-structure interaction analysis in a two dimensional medium is also presented in time domain using the frequency dependent transformation matrix. This matrix which represents the far field region is constructed by assembling stiffness matrices of the frequency dependant infinite elements. It maps the problem into the time domain where the equations of motion are to be solved. Accuracy of results obtained in this study is compared to those obtained by other SSI analysis techniques. It is shown that the solution procedure discussed in this paper is reliable, efficient and less time consuming as compared to other existing concepts and procedures.

Toughness and Damping Properties of Nanostructured Ni-Al Alloys Produced by Mechanical Alloying Methods (기계적합금화법에 의해 제조된 NiAl 나노금속간화합물 소결체의 인성 및 제진특성)

  • 안인섭;김형범;김영도;김지순
    • Journal of Powder Materials
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    • v.7 no.3
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    • pp.143-148
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    • 2000
  • NiAl alloy powders were prepared by mechanical alloying method and bulk specimens were produced using hot isostatic pressing techniques. This study focused on the transformation behavior and properties of Ni-Al mechanically alloyed powders and bulk alloys. Transformation behavior was investigated by differential scanning calorimeter (DSC), XRD and TEM. Particle size distribution and microstructures of mechanically alloyed powders were studied by particle size analyzer and scanning electron microscope (SEM). After 10 hours milling, XRB peak broadening appeared at the alloyed powders with compositions of Ni-36at%Al to 40at%Al. The NiAl and $Ni_3Al$ intermetallic compounds were formed after water quenching of solution treated powders and bulk samples at $1200^{\circ}C$, but the martensite phase was observed after liquid nitrogen quenching of solution treated powders. However, the formation of $Ni_3Al$ intermetallic compounds were not restricted by fast quenching into liquid nitrogen. It is considered to be caused by fast diffusion of atoms for the formation of stable $\beta$(NiAl) phase and $Ni_3Al$ due to nano sized grains during quenching. Amounts of martensite phase increased as the composition of aluminium component decreased in the Ni-Al alloy, which resulted in the increasing damping properties.

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