• 제목/요약/키워드: matrix geometric

검색결과 270건 처리시간 0.025초

공분산형 ARMA 고속 Transversal 필터에 관한 연구 (A Covariance Type ARMA Fast Transversal Filter)

  • 이철희;장영수
    • 한국음향학회지
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    • 제11권1호
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    • pp.67-79
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    • 1992
  • 적응방식이나 실시간 처리에 적합한 온라인 ARMA 계수추정을 위하여 공분산형 ARMA 고속 transversal 필터 알고리즘을 제안하였다. 제안된 알고리즘은 ARMA 모델의 경우 상관함수 행렬의 이동불변 특성이 각 블록 별로 만족함을 이용하여 ELS(Extended Least Squares)를 공분산형의 경우에 대해 고속 시갱신 알고리즘으로 구현한 것으로서, 알고리즘의 유도에는 사영연산자를 이용한 기하학적 접근방식을 사용하였다. 제안된 알고리즘은 13N+37 MADPR의 연산량을 필요로 하며, AR부분과 MA부분의 차수를 달리할 수 있다.

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Prediction of Resonance Frequency rind Mode Shape of Rotor in Switched Reluctance Motor

  • Ha, Kyung-Ho;Jeong, Seung-Kyu;Hong, Jung-Pyo;Kang, Do-Hyun
    • KIEE International Transaction on Electrical Machinery and Energy Conversion Systems
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    • 제12B권1호
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    • pp.19-23
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    • 2002
  • This paper investigates the influence of various stator pole shapes and yoke structures in Switched Reluctance Motors (SRM) on the mechanical behavior caused by the electromagnetic farce. The stator part in SRM produces most vibration. The geometric design of the stator is therefore necessary to reduce the vibration. Based on electromagnetic and structural Finite Element Method (FEM), the free and farced vibrations for the various structures of SRM with 6/4 poles are analyzed. Then a less vibration stator structure is proposed. Some of numerical computations for a prototype motor are verified by experimental results.

Pade근사를 이용한 준해석 구조 민감도의 해석 (The Semi-Analytic Structural Sensitivity Using Pade Approximation)

  • 단호진;이병채
    • 대한기계학회논문집A
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    • 제26권12호
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    • pp.2631-2635
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    • 2002
  • The semi-analytic sensitivity analysis using Pade approximation is presented for linear elastic structures. Although the semi-analytic method has several advantages, accuracy of the method prevents it from practical application. One of promising remedies is the use of geometric series for the matrix inversion. Though series expansion of order three has been successfully applied to the calculation of the structural sensitivity in the most range of the design perturbation, it is prone to have a slow convergence for large perturbation. To overcome this shortage, Pade approximation is introduced so that it can broaden the trust region of the perturbation without adding expansion terms. Numerical results show that the confident sensitivity can be obtained with tiny expenses of computation effort.

평면 프레임 구조물의 유한요소 비선형 해석을 위한 효율적인 수치해석 방법에 관한 연구 (A study on improving efficiency in computational procedure of finite element nonlinear analysis of plane frame structures)

  • 구정서;이병채;곽병만
    • 대한기계학회논문집
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    • 제12권4호
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    • pp.631-641
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    • 1988
  • 본 연구에서는 선형 탄성 해석의 결과를 이용하여 초기 하중 증분량을 결정하 는 방법을 제안한다. 또 Crisfield의 방법에서 부분적으로 발생하는 수치적 불안정 을 개선하고 수치 해석의 효율을 제고시키기 위하여 하중 증감의 판정 방법과 변위 증 분 길이의 예측 방법을 제안한다.

스트랩다운 관성항법시스템의 초기 개략정렬 알고리즘 개발 (Development of an Initial Coarse Alignment Algorithm for Strapdown Inertial Navigation System)

  • 박찬국;김광진;박흥원;이장규
    • 제어로봇시스템학회논문지
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    • 제4권5호
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    • pp.674-679
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    • 1998
  • In this paper, a new coarse alignment algorithm is proposed for roughly determining the initial attitude of the vehicle. The algorithm, referred as two-step coarse alignment algorithm, computes roll and pitch angle of the vehicle using accelerometer outputs, and then determines yaw angle with gyro outputs. With the geometric relation between sensor outputs and attitude angles, the algorithm error is analytically derived and compared with the previous coarse alignment algorithm that computes a transformation matrix using accelerometer md gyro outputs simultaneously. The simulation is also performed by varying the sensor errors. The results show that the proposed two-step coarse alignment algorithm has better performance for east tilt angle.

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신경회로망을 이용한 냉연 표면흠 분류를 위한 계층적 분류기의 설계 (Design of Hierarchical Classifier for Classifying Defects of Cold Mill Strip using Neural Networks)

  • 김경민;류경;정우용;박귀태;박중조
    • 제어로봇시스템학회논문지
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    • 제4권4호
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    • pp.499-505
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    • 1998
  • In developing an automated surface inspect algorithm, we have designed a hierarchical classifier using neural network. The defects which exist on the surface of cold mill strip have a scattering or singular distribution. We have considered three major problems, that is preprocessing, feature extraction and defect classification. In preprocessing, Top-hit transform, adaptive thresholding, thinning and noise rejection are used Especially, Top-hit transform using local minimax operation diminishes the effect of bad lighting. In feature extraction, geometric, moment, co-occurrence matrix, and histogram ratio features are calculated. The histogram ratio feature is taken from the gray-level image. For defect classification, we suggest a hierarchical structure of which nodes are multilayer neural network classifiers. The proposed algorithm reduced error rate by comparing to one-stage structure.

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밀링용 칩 브레이커 인서트의 절삭력 예측 (Prediction of Cutting Forces for the Chip Breaker Insert in Milling)

  • 김국원;이우영;신효철
    • 대한기계학회논문집
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    • 제17권11호
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    • pp.2664-2675
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    • 1993
  • In this paper, the effects of chip breaker configuration on cutting forces for various cutting conditions are investigated and a method for predicting cutting forces effectively for chip breaker insert in milling is described. Based on the shear plane model and the relevant equations already existing for the relation among the parameters, the method makes use of the analytic geometric approach considering the configuration of cutting too by a 3-dimensional coordinate transformation matrix. The groove type chip breaker insert is modeled to be a double rake insert, represented by the first radial rake angle, the second radial rake angle and the length of land, and the program analyzing the cutting forces is developed. The program capability is verified by comparing the results with the experimental ones for a single cutter; and in case of primary cutting forces, the results of simulation and experiments agree very well showing 2%~16.7% difference within the feed rate range investigated.

A TOPOLOGICAL PROOF OF THE PERRON-FROBENIUS THEOREM

  • Ghoe, Geon H.
    • 대한수학회논문집
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    • 제9권3호
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    • pp.565-570
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    • 1994
  • In this article we prove a version of the Perron-Frobenius Theorem in linear algebra using the Brouwer's Fixed Point Theorem in topology. We will mostly concentrate on he qualitative aspect of the Perron-Frobenius Theorem rather than quantitative formulas, which would be enough for theoretical investigations in ergodic theory. By the nature of the method of the proof, we do not expect to obtain a numerical estimate. But we may regard it worthwhile to see why a certain type of result should be true from a topological and geometrical viewpoint. However, a geometric argument alone would give us a sharp numerical bounds on the size of the eigenvalue as shown in Section 2. Eigenvectors of a matrix A will be fixed points of a certain mapping defined in terms of A. We shall modify an existing proof of Frobenius Theorem and that will do the trick for Perron-Frobenius Theorem.

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EXPLICIT EQUATIONS FOR MIRROR FAMILIES TO LOG CALABI-YAU SURFACES

  • Barrott, Lawrence Jack
    • 대한수학회보
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    • 제57권1호
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    • pp.139-165
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    • 2020
  • Mirror symmetry for del Pezzo surfaces was studied in [3] where they suggested that the mirror should take the form of a Landau-Ginzburg model with a particular type of elliptic fibration. This argument came from symplectic considerations of the derived categories involved. This problem was then considered again but from an algebro-geometric perspective by Gross, Hacking and Keel in [8]. Their construction allows one to construct a formal mirror family to a pair (S, D) where S is a smooth rational projective surface and D a certain type of Weil divisor supporting an ample or anti-ample class. In the case where the self intersection matrix for D is not negative semi-definite it was shown in [8] that this family may be lifted to an algebraic family over an affine base. In this paper we perform this construction for all smooth del Pezzo surfaces of degree at least two and obtain explicit equations for the mirror families and present the mirror to dP2 as a double cover of ℙ2.

보강된 구조물의 기하학적 비선형 해석을 위한 편심 응축 셸 요소 (An Eccentric Degenerated Shell Element for the Geometrically Nonlinear Analysis of Stiffened Structures)

  • 이원재;이병채
    • 대한기계학회논문집A
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    • 제24권7호
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    • pp.1721-1730
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    • 2000
  • An eccentric degenerated shell element with geometric non-linearity for the precise and efficient analysis of stiffened shell structures is developed. To deal with the eccentricity, we define the e ccentric shell and the master shell that constitute one combined shell. It is assumed that the sections remain plane after deformation. The internal force vector and the tangent stiffness matrix based on the virtual work principle in the natural coordinate system are derived. To enhance the robustness of the element, assumed strain method for transverse shear and membrane strains is used. Through numerical experiments the effectiveness of the proposed element is demonstrated.