• 제목/요약/키워드: Moment Singularities

검색결과 14건 처리시간 0.017초

특이점이 제거된 2 차원 단일매질 주기구조에 대한 그린함수의 제안 (Proposal of Singularity-Circumvented Green's Functions for 2D Periodic Structures in Homogeneous Medium)

  • 강승택;김형석
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2006년도 추계학술대회 논문집 전기물성,응용부문
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    • pp.133-134
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    • 2006
  • In this paper, a novel method is presented for efficient calculation of the spatial-domain Green's functions of 2D electromagnetic problems. This method combines spectral and spatial domain calculation schemes and prevents the Green's functions from diverging at the singularities that complicate the process of the Method of Moment(MoM) application. For the validation of this proposed method, fields will be evaluated along the spatial distance including zero distance for 2D free-space and periodic homogeneous geometry. The numerical results show the validity of the prosed method and correspondng physics.

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수정된 선택적 확장 기법을 이용한 불연속 요소의 효율적 해석 (Efficient Analysis of Discontinuous Elements Using a Modified Selective Enrichment Technique)

  • 이세민;강태훈;정하영
    • 한국전산구조공학회논문집
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    • 제35권5호
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    • pp.267-275
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    • 2022
  • Non-conforming mesh를 이용해 구조적인 불연속성을 해석 시 요소 내 함수 불연속성과 특이점이 존재하며, 이로 인해 계산의 효율성이 저하된다. 본 연구에서는 이 문제를 해결하기 위해 모멘트 피팅법을 응용한 선택적 확장기법(Duster and Allix, 2020)을 토대로 새로운 고효율 확장 기법을 제시하였다. 특히, 적분과정에서의 비효율성에 초점을 두고 두가지 개선 방안을 제안하고 이를 수치 예제를 통해 검증하였다. 첫째로 음함수-모멘트간 효율적 계산을 위해 인공신경망을 도입하였으며, 기존 확장 기법에 비해 해의 정확성이 유지되면서도 효율적인 계산이 가능함을 확인하였다. 더불어, 구조 해석과 형상 표상용 격자를 분리, 낮은 밀도의 구조 해석 격자에서도 정확성이 향상되었음을 보였다.

2-dimensional Hydrodynamic Forces of Heaving, Swaying and Rolling Cylinders on a Free Surface of a Water of Finite Depth

  • Rhee, K.P.
    • 대한조선학회지
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    • 제14권3호
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    • pp.13-22
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    • 1977
  • The hydrodynamic forces acting on a forced oscillating 2-dimensional cylinder on a free surface of a fluid of a finite depth are calculated by distributing singularities on the immersed body surface. And the Haskind-Newman relation in a fluid of a finite depth is derived. The wave exciting force of the cylinder to an oscillation is also calculated by using the above relation. The method is applied to a circular cylinder swaying in a water of finite depth, and then, to a rectangular cylinder heaving, swaying, and rolling. The results of above cases give a good agreement with those by earlier investigators such as Bai, Keil, and Yeung. Also, this method is applied to a Lewis form cylinder with a half beam-to-draft ratio of 1.0 and a sectional area coefficient of 0.941, and to a bulbous section cylinder which is hard to represent by a mapping function. The results reveal that the hydrodynamic forces in heave increase as the depth of a water decrease, but in sway or roll, the tendency of the hydrodynamic forces is difficult to say in a few words. The exciting force to heave for a bulbous section cylinder becomes zero at two frequencies. The added mass moment of inertia for roll is seemed to mainly depend on the sectional shape than the water depth.

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A study on the modeling of a hexacopter

  • Le, Dang-Khanh;Nam, Taek-Kun
    • Journal of Advanced Marine Engineering and Technology
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    • 제39권10호
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    • pp.1023-1030
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    • 2015
  • The purpose of this paper is to present the basic mathematical modeling of a hexacopter, which could be used to develop proper methods for stabilization and trajectory control. A hexacopter consists of six rotors with three pairs of counter-rotating fixed-pitch blades. This mechanism is an under-actuated, dynamically unstable, six-degrees-of-freedom system. The whole motion of this object consists of translational and rotational motion in three dimensions, where the translational motion is created by changing the direction and magnitude of the upward propeller thrust. The hexacopter is controlled by adjusting the angular velocities of the rotors, which are spun by electric motors. It is assumed to be a rigid body; thus, the differential equation of the hexacopter dynamics can be derived from the Newton-Euler equation. The Euler-angle parametrization of the three-dimensional rotations contains singular points in the coordinate space that can cause failure of both the dynamical model and control. In order to avoid singularities, the rotations of the hexacopter are parametrized in terms of quaternions. This choice has been made considering the linearity of the quaternion formulation and their stability and efficiency. Further, control simulation of a hexacopter applying cascaded-PID control is also presented in this paper.