• 제목/요약/키워드: theory of vectors

검색결과 96건 처리시간 0.024초

Waviness가 존재하며 볼의 원심력과 자이로스코픽 모멘트가 작용하는 볼베어링으로 지지된 5 자유도 회전계의 진동해석 (Vibration Analysis of 5-DOF Rotor System Supported by Two or More Ball Bearings Considering Centrifugal Force and Gyroscopic Moment of Ball)

  • 정성원;장건희
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2001년도 추계학술대회논문집 I
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    • pp.297-303
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    • 2001
  • This research presents an analytical model to characterize the ball bearing vibration due to the waviness in a rigid rotor supported by multi-row ball bearings considering centrifugal force and gyroscopic moment of ball. The effects of centrifugal force and gyroscopic moment are introduced to the kinematic constraints and force equilibrium equations. The waviness of ball and races is modeled by the superposition of sinusoidal function and it is introduced to position vectors of race curvature center to use the Hertzian contact theory in order to calculate the elastic deflection and nonlinear contact force resulting from the waviness while the rotor has translational and angular motion. They can be determined by solving the nonlinear equations of motion with five degrees of freedom by using the Runge-Kutta-Fehlberg algorithm. The accuracy of this research is validated by comparing with the results of the prior researches. It characterizes the vibration frequencies resulting from the various kinds of waviness in rolling elements, the harmonic frequencies resulting from the nonlinear load-deflection characteristics of ball bearing resulting from the waviness interaction.

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관측기를 이용한 강인한 디지털 로보트제어 (Design of a Digital Robust Control Using Observer for Manipulator)

  • 이보희;김진걸
    • 한국통신학회논문지
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    • 제19권12호
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    • pp.2353-2363
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    • 1994
  • 본 논문에서는 외란이 존재하는 로보트 시스템에 대하여, 축소차수관측기를 사용하여 강인한 디지털 제어기의 설계방법을 다루었다. 대부분의 로보트 매니퓰레이터 경우는 상태변수 모두를 측정할 수 없기 때문에 측정할 수 없는 상태변수들은 추정되거나 재구성되어야 한다. 또 다른 문제점들은 미분불가능한 쿨롱마찰력과 같은 비선형 성분, 중력에 의한 외란, 그리고 구동모터와 매니퓰레이터 사이에 존재하는 뒤틀림 스프링 효과이다. 제어기의 설계는 측정가능한 상태변수와 축소차수 관측기에 의하여 추정한 상태변수들을 궤환시키고 출력 쪽에 이산적분기를 첨가하여 구성하였다. 제어기의 궤환이득은 우선 최적제어이론에 의해 구하고, 만약 시스템 응답이 리미트싸이클을 가지면 혼성시스템에 대한 기술함수법을 적용해서 제어기의 이득을 재조정하여 리미트싸이클을 제거하였다.

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Emergent damage pattern recognition using immune network theory

  • Chen, Bo;Zang, Chuanzhi
    • Smart Structures and Systems
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    • 제8권1호
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    • pp.69-92
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    • 2011
  • This paper presents an emergent pattern recognition approach based on the immune network theory and hierarchical clustering algorithms. The immune network allows its components to change and learn patterns by changing the strength of connections between individual components. The presented immune-network-based approach achieves emergent pattern recognition by dynamically generating an internal image for the input data patterns. The members (feature vectors for each data pattern) of the internal image are produced by an immune network model to form a network of antibody memory cells. To classify antibody memory cells to different data patterns, hierarchical clustering algorithms are used to create an antibody memory cell clustering. In addition, evaluation graphs and L method are used to determine the best number of clusters for the antibody memory cell clustering. The presented immune-network-based emergent pattern recognition (INEPR) algorithm can automatically generate an internal image mapping to the input data patterns without the need of specifying the number of patterns in advance. The INEPR algorithm has been tested using a benchmark civil structure. The test results show that the INEPR algorithm is able to recognize new structural damage patterns.

B-스플라인 곡면과 스칼라장 이론을 이용한 임의의 형상의 압출금형 곡면의 자동생성 (Automatic Surface Generation for Extrusion Die of Arbitrarily Shaped Section using B-spline Surfaces and Scalar Field Theory)

  • 임종훈;김광혁;유동진;양동열
    • 소성∙가공
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    • 제13권1호
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    • pp.33-38
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    • 2004
  • A new approach for the design of extrusion die surface of arbitrarily shaped section is presented. In order to generate the extrusion die surface. an automatic surface construction method based on B-spline surface and scalar field theory is proposed. The isothermal lines and stream lines designed in the scalar field are introduced to find the control points which are used in constructing B-spline surfaces. Intersected points between the isothermal lines and stream lines are used to construct B-spline surfaces. The inlet and outlet profiles are precisely described with B-spline curves by using the centripetal method for uniform parameterization. The extrusion die surface is generated by using the cubic curve interpolation in the u- and v-directions. A quantitative measure for the control of surface is suggested by introducing the tangential vectors at the inlet and outlet sections. To verify the validity and effectiveness of the proposed method, automatic surface generation is carried out for extrusion dies of arbitrarily shaped sections.

이동 보상과 분류 벡터 양자화기를 이용한 영상 부호화에 관한 연구 (Ⅰ: 이론및 모의실험) (A Study on the Interframe Image Coding Using Motion Compensated and Classified Vector Quantizer (Ⅰ: Theory and Computer Simulation))

  • 김중남;최성남;박규태
    • 대한전자공학회논문지
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    • 제27권3호
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    • pp.13-20
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    • 1990
  • 본 논문에서는 이동보상과 분류 벡터양자화기를 이용한 화면각 부호화방법을 제안하였다. 이동보상벡터양자화방식에서는 중요화소를 포함하는 블록을 효과적으로 부호화하는 것이 중요하다. 이러한 관점에서, 이동보상후에 나타나는 화면간 예측오차에 적합한 분류법을 갖는 새로운 CVQ 알고리듬을 제안하였다. 본 연구에서는 저 전송율에서 영상을 효과적으로 부호화하기 위하여 이동보상에서 처리단위인 블록을 4개의 크기가 같은 벡터로 나누고, 각 벡터들을 벡터내의 중요화소의 위치에 따라 15부류로 분류하여 각기 독립적으로 제작된 부호책에 따라 벡터양자화기로 부호화하였다. 컴퓨터 모의실험 결과에서 영상회의와 영상전화와 같은 상대적으로 움직임이 적은 영상에 대하여, 평균 비트율이 0.2~0.25 bit/pel에서 35~37dB의 신호대 잡음비를 얻었다.

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Novel Switching Table for Direct Torque Controlled Permanent Magnet Synchronous Motors to Reduce Torque Ripple

  • Arumugam, Sivaprakasam;Thathan, Manigandan
    • Journal of Power Electronics
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    • 제13권6호
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    • pp.939-954
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    • 2013
  • The Direct Torque Control (DTC) technique for Permanent Magnet Synchronous Motors (PMSM) is receiving increased attention due to its simplicity and robust dynamic response when compared with other control techniques. The classical switching table based DTC results in large flux and torque ripples in the motors. Several studies have been reported in the literature on classical DTC. However, there are only limited studies that actually discuss or evaluate the classical DTC. This paper proposes, novel switching table / DTC methods for PMSMs to reduce torque ripples. In this paper, two DTC schemes are proposed. The six sector and twelve sector methodology is considered in DTC scheme I and DTC scheme II, respectively. In both DTC schemes a simple modification is made to the classical DTC structure. The two level inverter available in the classical DTC is eliminated by replacing it with a three level Neutral Point Clamped (NPC) inverter. To further improve the performance of the proposed DTC scheme I, the available 27 voltage vectors are allowed to form different groups of voltage vectors such as Large - Zero (LZ), Medium - Zero (MZ) and Small - Zero (SZ), where as in DTC scheme II, all of the voltage vectors are considered to form a switching table. Based on these groups, a novel switching table is proposed. The proposed DTC schemes are comparatively investigated with the classical DTC and existing literatures through theory analysis and computer simulations. The superiority of the proposed DTC method is also confirmed by experimental results. It can be observed that the proposed techniques can significantly reduces the torque ripples and improves the quality of current waveform when compared with traditional and existing methods.

Teaching Linear Algebra to High School Students

  • Choe, Young-Han
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제8권2호
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    • pp.107-114
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    • 2004
  • University teachers of linear algebra often feel annoyed and disarmed when faced with the inability of their students to cope with concepts that they consider to be very simple. Usually, they lay the blame on the impossibility for the students to use geometrical intuition or the lack of practice in basic logic and set theory. J.-L. Dorier [(2002): Teaching Linear Algebra at University. In: T. Li (Ed.), Proceedings of the International Congress of Mathematicians (Beijing: August 20-28, 2002), Vol. III: Invited Lectures (pp. 875-884). Beijing: Higher Education Press] mentioned that the situation could not be improved substantially with the teaching of Cartesian geometry or/and logic and set theory prior to the linear algebra. In East Asian countries, science-orientated mathematics curricula of the high schools consist of calculus with many other materials. To understand differential and integral calculus efficiently or for other reasons, students have to learn a lot of content (and concepts) in linear algebra, such as ordered pairs, n-tuple numbers, planar and spatial coordinates, vectors, polynomials, matrices, etc., from an early age. The content of linear algebra is spread out from grades 7 to 12. When the high school teachers teach the content of linear algebra, however, they do not concern much about the concepts of content. With small effort, teachers can help the students to build concepts of vocabularies and languages of linear algebra.

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정량적 궤환이론을 이용한 PID 제어기 설계 및 터빈 속도제어 (A Design of PID Controller using Quantitative Feedback Theory and Turbine Speed Control)

  • 김주식
    • 조명전기설비학회논문지
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    • 제16권4호
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    • pp.1-7
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    • 2002
  • 정량적 궤환이론(Quantitative Feedback Theory : QFT)은 플랜트 불확실성과 외란에도 불구하고 요구된 시스템의 제어성능을 성취하기 위해서 궤환의 사용을 강조하는 매우 실제적인 설계기법이다. 이 QFT의 루프형성과정은 요구된 경계조건이 만족될 때까지 강인한 제어기를 설계하는 것을 허용한다. 본 논문에서는 QFT의 루프형성을 이용한 PID 제어기의 최적 설계방법을 제안한다. 제안된 방법은 QFT 경계조건에 의해 얻어진 2차원의 시스템 행렬과 출력 벡터를 재배열하는 것으로부터 전개된 선형 연립방정식으로부터 PID 제어기의 파라미터 벡터를 식별하는 방식이다. 제안된 방법의 유용성은 터빈의 속도제어 문제에 의해 검증하였다.

Finding Effective Ways to Teach Foreign Languages

  • Fabian, Myroslava;Shtefanyuk, Nataliya;Budz, Iryna;Smutchenko, Olha;Drapak, Halyna;Leshchenko, Hanna
    • International Journal of Computer Science & Network Security
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    • 제21권7호
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    • pp.77-81
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    • 2021
  • The article is devoted to the consideration of the methodological and general theoretical foundations of a rational methodology for teaching foreign language communicative competence of students of a non-linguistic university. The analysis of the vectors of research of problems of increasing the efficiency of the process of mastering foreign language communicative competence of non-linguistic students is presented. As a methodological basis for a rational methodology for teaching a foreign language communicative competence, the key aspects of the philosophy of rationality are considered, the basic principles of a rational methodology are formulated, linguo-didactic means of its implementation are determined, indicators of rationality are identified.

POLYNOMIALLY DEMICOMPACT OPERATORS AND SPECTRAL THEORY FOR OPERATOR MATRICES INVOLVING DEMICOMPACTNESS CLASSES

  • Brahim, Fatma Ben;Jeribi, Aref;Krichen, Bilel
    • 대한수학회보
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    • 제55권5호
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    • pp.1351-1370
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    • 2018
  • In the first part of this paper we show that, under some conditions, a polynomially demicompact operator can be demicompact. An example involving the Caputo fractional derivative of order ${\alpha}$ is provided. Furthermore, we give a refinement of the left and the right Weyl essential spectra of a closed linear operator involving the class of demicompact ones. In the second part of this work we provide some sufficient conditions on the inputs of a closable block operator matrix, with domain consisting of vectors which satisfy certain conditions, to ensure the demicompactness of its closure. Moreover, we apply the obtained results to determine the essential spectra of this operator.