• 제목/요약/키워드: Bessel's function

검색결과 65건 처리시간 0.021초

Local stress field for torsion of a penny-shaped crack in a transversely isotropic functionally graded strip

  • Feng, W.J.;Su, R.K.L.
    • Structural Engineering and Mechanics
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    • 제18권6호
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    • pp.759-768
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    • 2004
  • The torsion of a penny-shaped crack in a transversely isotropic strip is investigated in this paper. The shear moduli are functionally graded in such a way that the mathematics is tractable. Hankel transform is used to reduce the problem to solving a Fredholm integral equation. The crack tip stress field is obtained by taking the asymptotic behavior of Bessel function into account. The effects of material property parameters and geometry criterion on the stress intensity factor are investigated. Numerical results show that increasing the shear moduli's gradient and/or increasing the shear modulus in a direction perpendicular to the crack surface can suppress crack initiation and growth, and that the stress intensity factor varies little with the increasing of the strip's height.

원형단순확장관의 입$\cdot$출구 위치와 단면 크기를 고려한 음향해석법 (Acoustic Analysis of Circular Simple Expansion Chamber with Arbitrary Location and Cross-Section Area of Inlet/Outlet)

  • 김봉준;정의봉;황상문
    • 소음진동
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    • 제9권5호
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    • pp.914-921
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    • 1999
  • There are many theoretical investigations to analyze higher order mode of reactive type single expansion chambers with offset inlet/outlet locations. But the conventional method has the restriction that the ratio between the area of inlet(or outlet) pipe and that of chamber must be natural number. In the paper, a new method was suggested to apply the Kim's method to silencer with circular cross-section. Not only the offset location but also the magnitude of cross-section area of inlet/outlet pipe can be considered by the suggested method. The predictions by this new method also compared with those by the finite element method and Munjal's method in order to verify the accuracy of the suggested method presented here.

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속응성을 고려한 자기부상열차용 DC-DC 컨버터 제어 (DC-DC Converter Control of Maglev Considering a fast response)

  • 조정민;성호경;정병수;김봉섭;전기영;한경희
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2004년도 하계학술대회 논문집 B
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    • pp.1217-1219
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    • 2004
  • This paper presents a modified PI control algorithm using pole placement for DC-to-DC converter of a magnetic levitation system(MAGLEV). The gains of the control algorithm were selected based on pole locations formulated from a prototype Bessel transfer function model. The design incorporate tradeoffs in DC-to-DC converter hardware parameters and pole locations. In order to confirm the superiority of the proposed pole selection and controller, simulation and experiment results are presented.

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극배치 제어기법을 이용한 자기부상열차용 전원장치에 관한 연구 (A Study on the Power Supply of a magnetic levitation system(MAGLEV) using pole placement technique)

  • 정춘병;이상현;김은기;조정민;전기영;강승욱;김용주;한경희
    • 전력전자학회:학술대회논문집
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    • 전력전자학회 2007년도 하계학술대회 논문집
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    • pp.418-420
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    • 2007
  • When the magnetic levitation system(MAGLEV) initially rise, The MAGLEV has a weak point that is very large variation of the electric current. In this paper, The author applied the multi-loop-control to stably control the magnetic levitation system(MAGLEV). The gains of the control algorithm were selected based on pole locations formulated from a prototype Bessel transfer function model. The design incorporate tradeoffs in DC-to-DC converter hard-ware para-meters and pole locations. In order to confirm the superiority of the proposed pole selection and controller, MATLAB simulation and experiment results are presented.

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레이어가 있는 하프스페이스에서 페라이트코아가 있는 와류탐침에 대한 연구 (A Study on Eddy-current Probe with Ferrite Cores over a Layered Half-Space)

  • 김태원;변기량;최재훈;강유석;황호정
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 1998년도 추계종합학술대회 논문집
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    • pp.613-616
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    • 1998
  • In this paper, a model of a Eddy-current probe coil with a ferrite core in the presence of a half-space with a layer is developed. The half-space with a layer is accounted for by computing the appropriate Green's function by using Bessel transforms. Upon introducing equivalent Amperian currents within a core to explain effect to a impedance change in the coil due to a (ferrite) core, we derive a volume integral equation, The integral equation is transformed via the method of moments into a vector-matrix equation, which is then solved using a linear equation solver. Through the above processing, we computed impedance value in a Eddy-current probe coil due to a conductivity change of layer.

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전력 증폭기의 왜곡해석 및 개선에 관한 연구 (A study on the high power amplifier Distortion analysis and Improving)

  • 하성재;홍의석
    • 한국통신학회논문지
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    • 제32권10A호
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    • pp.1072-1077
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    • 2007
  • 본 논문에서는 전력증폭기의 선형성을 개선하기위해서 전력증폭기에서 발생되는 왜곡을 해석하여 전력 증폭기의 선형성 개선 개념을 제시하고 검증하였다. 연구에서는 전력증폭기를 구동 증폭기와 종단 증폭기로 구분하여 종단 증폭기에서 발생되는 비선형 왜곡 성분을 구동증폭기의 왜곡성분으로 상쇄시키는 개념이 제시된다. 본 논문에서 전력증폭기의 AM to AM은 Power Series로 해석하였으며, AM to PM 왜곡은 Bessel 함수를 이용하여 해석하였다. 본 개념을 검증하기 위하여 셀룰라 대역의 30W 전력 증폭기를 구현하여 검증하였다. 설계 및 제작된 전력 증폭기는 z대역에서 30W@20FA 출력할 경우 스퓨리어스 특성이 51dBc @ 1FA,$20FA{\pm}1.98MHz$의 특성을 나타내었다. 이러한 결과는 10dE의 스퓨리어스 특성 개선을 보였다.

층상대지에서 수직공측루프에 대한 전자응답 (Electromagnetic Responses for a Vertical Coaxial Loop System over a Layered Earth)

  • 김희준
    • 자원환경지질
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    • 제19권4호
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    • pp.293-296
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    • 1986
  • 총상대지에서 수직공측루프에 대한 상호결합비의 새로운 관계식을 방정식 중의 0차 뱃셀함수를 1차로 변환함으로써 유도하였다. 이 관계식을 쓰면 $J_0$$J_1$ 두개의 필터대신 $J_1$필터만이 필요하게 되며, 계산시간이나 기억용량이 크게 절감된다. 본 논문에서는 3층구조 대지에 대한 상호결합비를 앤더슨의 필터로 구하였다.

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초소형 밀폐형 이상 써모싸이폰 기포의 거동에 관한 해석적인 연구 (Analytical Study on the Behavior of the Bubble in the Micro Two-Phase Closed Thermosyphon)

  • 이윤표;이영수;이영
    • 설비공학논문집
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    • 제5권2호
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    • pp.85-93
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    • 1993
  • The rise of a large gas bubble or slug in a Micro Two-Phase Closed Thermosyphon with a thin wire insert has been analiged by the potential flow theory. The effect of the interfacial surface tension is explicitly accounted by application of the Kelvin-Laplace equation and solved for the bubble shape. The solution is expressed in terms of the Stokes stream function which consists of an infinite series of Bessel functions. The conditions of the bubble movement in a Micro Two-Phase Closed Thermosyphon were theoretically ascertained.

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Stress state around cylindrical cavities in transversally isotropic rock mass

  • Lukic, Dragan C.;Prokic, Aleksandar D.;Brcic, Stanko V.
    • Geomechanics and Engineering
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    • 제6권3호
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    • pp.213-233
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    • 2014
  • The present paper is dealing with the investigation of the stress field around the infinitely long cylindrical cavity, of a circular cross section, contained in the transversally isotropic elastic continuum. Investigation is based upon the determination of the stress function that satisfies the biharmonic equation, for the given boundary conditions and for rotationaly symmetric loading. The solution of the partial differential equation of the problem is given in the form of infinite series of Bessel's functions. Determination of the stress-strain field around cavities is a common requirement for estimation of safety of underground rock excavations.

The submerged flexible membrane breakwaters in oblique seas

  • S.T.Kee
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2001년도 학술발표회 논문집(II)
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    • pp.1133-1138
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    • 2001
  • The focus of this paper is on the numerical investigation of obliquely incident wane interactions with a system composed of full submerged and floating dual buoy/vertical-flexible-membrane breakwaters placed in parallel with spacing. The fully submerged systems allow surface and bottom clearances to enable wave transmission over and under the system. The problem is formulated based on the two-dimensional multi-domain hydro-elastic linear wave-body interaction theory. The hydrodynamic interaction of oblique incident waves with the combination of the rigid and flexible bodies was solved by the distribution of the simple sources (modified Bessel function of fille second kind) tat satisfy the Helmholz governing equation. Using this computer program, the performance of various dual systems varying buoy radiuses and drafts, membrane lengths, clearances. spacing, mooring-lines stiffness, mooring types, water depth, and wave characteristics is thoroughly examined. It is found that the fully submerged and floating dual buoy/membrane breakwaters call, if it is properly tuned to the coming waves, have good performances ill reflecting the obliquely incident waves over a tilde range of wave frequency and headings.

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