• 제목/요약/키워드: Physical decomposition

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NONNEGATIVE INTEGRAL MATRICES HAVING GENERALIZED INVERSES

  • Kang, Kyung-Tae;Beasley, LeRoy B.;Encinas, Luis Hernandez;Song, Seok-Zun
    • 대한수학회논문집
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    • 제29권2호
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    • pp.227-237
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    • 2014
  • For an $m{\times}n$ nonnegative integral matrix A, a generalized inverse of A is an $n{\times}m$ nonnegative integral matrix G satisfying AGA = A. In this paper, we characterize nonnegative integral matrices having generalized inverses using the structure of nonnegative integral idempotent matrices. We also define a space decomposition of a nonnegative integral matrix, and prove that a nonnegative integral matrix has a generalized inverse if and only if it has a space decomposition. Using this decomposition, we characterize nonnegative integral matrices having reflexive generalized inverses. And we obtain conditions to have various types of generalized inverses.

Aspects of the use of proper orthogonal decomposition of surface pressure fields

  • Baker, C.J.
    • Wind and Structures
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    • 제3권2호
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    • pp.97-115
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    • 2000
  • The technique of proper orthogonal decomposition is potentially useful in specifying the fluctuating surface pressure field around structures. However there has been a degree of controversy over whether or not the calculated modes have physical meanings. This paper addresses this issue through consideration of the results of full scale experiments, and through an analytical investigation. It is concluded that the lower, most energetic modes are likely to reflect different fluctuating flow mechanisms, although no mode is likely to be associated with just one flow mechanism or vice versa. The higher, less energetic modes are likely to represent interactions between different flow mechanisms, and to be significantly affected by the number of measurement points and measurement errors. The paper concludes with a brief description of the application of POD to the problem of building ventilation, and the calculation of cladding pressures.

Modal transformation tools in structural dynamics and wind engineering

  • Solari, Giovanni;Carassale, Luigi
    • Wind and Structures
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    • 제3권4호
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    • pp.221-241
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    • 2000
  • Structural dynamics usually applies modal transformation rules aimed at de-coupling and/or minimizing the equations of motion. Proper orthogonal decomposition provides mathematical and conceptual tools to define suitable transformed spaces where a multi-variate and/or multi-dimensional random process is represented as a linear combination of one-variate and one-dimensional uncorrelated processes. Double modal transformation is the joint application of modal analysis and proper orthogonal decomposition applied to the loading process. By adopting this method the structural response is expressed as a double series expansion in which structural and loading mode contributions are superimposed. The simultaneous use of the structural modal truncation, the loading modal truncation and the cross-modal orthogonality property leads to efficient solutions that take into account only a few structural and loading modes. In addition the physical mechanisms of the dynamic response are clarified and interpreted.

Strain Decomposition Method in Hull Stress Monitoring System for Container Ship

  • Park, Jae-Woong;Kang, Yun-Tae
    • Journal of Ship and Ocean Technology
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    • 제7권3호
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    • pp.56-65
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    • 2003
  • The hull monitoring systems of container ships with four long-base gages give enough information for identifying the hull girder loads such as bending and torsional moments. But such a load-identification for container ships has not been known. In this paper, a load-identification method is suggested in terms of a linear matrix equation that the measured strain vector equals to the multiplication of the transformation matrix and the desired strain component vector. The equation is proved to be mathematically complete by the property of positive-definite determinant of the transformation matrix. The method is applied to a hull stress monitoring system for 8100TED container ship during sea trial, and the estimated external loads illustrate reasonable results in comparison with the pre-estimated results. This moment decomposition concept has also been tested in real operation conditions. The typical phenomena over the Suez Canal illustrated very suitable results comparing with the physical understandings. Henceforth, one can effectively use the proposed concept to monitor the hull girder loads such as bending and torsional moments.

Processing of dynamic wind pressure loads for temporal simulations

  • Hemon, Pascal
    • Wind and Structures
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    • 제21권4호
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    • pp.425-442
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    • 2015
  • This paper discusses the processing of the wind loads measured in wind tunnel tests by means of multi-channel pressure scanners, in order to compute the response of 3D structures to atmospheric turbulence in the time domain. Data compression and the resulting computational savings are still a challenge in industrial contexts due to the multiple trial configurations during the construction stages. The advantage and robustness of the bi-orthogonal decomposition (BOD) is demonstrated through an example, a sail glass of the Fondation Louis Vuitton, independently from any tentative physical interpretation of the spatio-temporal decomposition terms. We show however that the energy criterion for the BOD has to be more rigorous than commonly admitted. We find a level of 99.95 % to be necessary in order to recover the extreme values of the loads. Moreover, frequency limitations of wind tunnel experiments are sometimes encountered in passing from the scaled model to the full scale structure. These can be alleviated using a spectral extension of the temporal function terms of the BOD.

Development Status of Iridium Catalyst for Hydrazine Decomposition

  • Kim, S.K.;Lee, K.H.;Yu, M.J.;Cho, S.J.;Lee, J.W.
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 2008년 영문 학술대회
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    • pp.272-274
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    • 2008
  • A development of hydrazine decomposition catalyst for monopropellant thruster has been performed by Korea Aerospace Research Institute(KARI). The goal of this development is to product a catalyst showing the equivalent performance with space-proven catalysts. Catalyst production and physical/chemical analysis were conducted by Chonnam National University and the analysis result was compared with the result of other catalysts and our own specification. Using the developed prototype catalyst, short firing test was performed in a reactor to verify basic performance of catalyst. After the successful reactor test, hot firing tests were carried out in atmospheric and vacuum condition using 5N thruster to verify durability and safety of catalyst. In this paper, the catalyst development status will be presented.

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PS/SAN/ABS의 열분해특성과 생성물의 독성에 관한 연구 (A Study of Thermal Decomposition Characteristics and Toxicity of Product on PS/SAN/ABS)

  • 강윤진;이내우;설수덕
    • 한국가스학회지
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    • 제4권1호
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    • pp.16-25
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    • 2000
  • 스틸렌 공중합체의 열적특성과 독성인자를 평가하기 위하여 활성화 에너지, 물리적 특성 및 마취성 기체와 같은 독성물질의 발생가능성에 대하여 조사하였다 고온 분해시에 Kissinger법과 DSC법에 의해 계산된 활성화 에너지는 25${\~}$50 Kcal/mol이었다. 이것은 화재발생가능성에 대하여 좋은 정보가 될 것이다 FED계산으로부터 PS, SAN 및 ABS에 대한 $LC_{50}$의 값은 8,580, 265 및 308 $mg/m^3$이 되었다. FT-IR에 의해 분석한 열분해 반응의 메카니즘은 측쇄반응이 아니고 주쇄반응이었다.

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Sm이온이 도핑된 Ti-SBA-15 촉매에서의 메틸렌블루의 광촉매 분해 반응 (Photocatalytic Decomposition of Methylene Blue over Sm Ion Doped Ti-SBA-15 Catalysts)

  • 정원영;이성훈;홍성수
    • 한국환경과학회지
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    • 제20권4호
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    • pp.511-517
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    • 2011
  • Ti-SBA-15 catalysts doped with samarium ion were synthesized using conventional hydrothermal method. The physical properties of Sm/Ti-SBA-15 catalysts have been characterized by XRD, FT-IR, DRS and PL. In addition, we have also examined the activity of these materials on the photocatalytic decomposition of methylene blue. The Sm/ Ti-SBA-15 was shown to have the mesoporous structure regardless of Sm ion doping. With doping amount of 1% lanthanide ion, the pore size and pore volume of Sm(Er, Cs)/Ti-SBA-15 decreased and the surface area increased. For the purpose of vibration characteristics on the Ti-SBA-15 and Sm/Ti-SBA-15 photocatalysts, the IR absorption at 960 $cm^{-1}$ commonly accepted the characteristic vibration of Ti-O-Si bond. 1% of Sm/Ti-SBA-15 had the highest photocatalytic activity on the decomposition of methylene blue but the catalysts doped with Er ions had lower activity in comparison with pure Ti-SBA-15 catalyst.

Identification of nonlinear elastic structures using empirical mode decomposition and nonlinear normal modes

  • Poon, C.W.;Chang, C.C.
    • Smart Structures and Systems
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    • 제3권4호
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    • pp.423-437
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    • 2007
  • The empirical mode decomposition (EMD) method is well-known for its ability to decompose a multi-component signal into a set of intrinsic mode functions (IMFs). The method uses a sifting process in which local extrema of a signal are identified and followed by a spline fitting approximation for decomposition. This method provides an effective and robust approach for decomposing nonlinear and non-stationary signals. On the other hand, the IMF components do not automatically guarantee a well-defined physical meaning hence it is necessary to validate the IMF components carefully prior to any further processing and interpretation. In this paper, an attempt to use the EMD method to identify properties of nonlinear elastic multi-degree-of-freedom structures is explored. It is first shown that the IMF components of the displacement and velocity responses of a nonlinear elastic structure are numerically close to the nonlinear normal mode (NNM) responses obtained from two-dimensional invariant manifolds. The IMF components can then be used in the context of the NNM method to estimate the properties of the nonlinear elastic structure. A two-degree-of-freedom shear-beam building model is used as an example to illustrate the proposed technique. Numerical results show that combining the EMD and the NNM method provides a possible means for obtaining nonlinear properties in a structure.

피지컬 컴퓨팅을 기반으로 한 디지털 윷놀이 시스템 개발에 관한 연구 (A Study on the Development of Digital Yut Playing System Based on Physical Computing)

  • 고병오
    • 정보교육학회논문지
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    • 제21권3호
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    • pp.335-342
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    • 2017
  • 인간의 삶을 획기적으로 변환시키면서 부가가치를 창출하고 있는 인공지능, 로봇 기술, 사물인터넷, 그리고 생명과학 등이 이슈화되면서 차세대 산업혁명인 4차 산업혁명이 부각되고 있다. 이러한 4차 산업에 적응하도록 융합적사고와 컴퓨팅 사고력을 함양할 수 있는 교육이 필요한 실정이다. 따라서, 본 연구에서는 STEAM과 컴퓨팅 사고력의 구성요소인 분해, 패턴 인식, 추상화, 그리고 알고리즘 설계 등을 반영하여 피지컬 컴퓨팅을 기반으로 한 디지털 윷놀이 시스템을 개발한다. 개발한 시스템을 체험하고, 이를 교육에 활용함으로서 프로그래밍 교육에 대한 관심과 흥미를 고취시키고, 융합적사고와 컴퓨팅 사고력을 위한 프로그래밍 수업을 개선한다.