• 제목/요약/키워드: power series expansion

검색결과 71건 처리시간 0.026초

직렬 궤환을 이용한 아날로그 전치왜곡 선형화기 (An Analog Predistortion Linearizer using Series Feedback Structure)

  • 김일규;전기경;김영;윤영철
    • 한국항행학회논문지
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    • 제10권3호
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    • pp.256-262
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    • 2006
  • 본 논문에서는 증폭기의 비선형 특성인 AM/AM 과 AM/PM 현상을 보상해주는 새로운 형태의 선형화기를 제안하였다. 이 선형화기는 공통 이미터 증폭기와 쇼트키 다이오드를 이미터와 접지 사이에 연결한 형태로 구성되어 있어, 쇼트키 다이오드의 접합 저항 값이 변화함에 따라 이득 증가 와 위상 확장 특성을 얻을 수 있다. 이러한 결과를 이용하여 증폭기의 비선형 특성을 개선시킬 수 있으며, 셀룰라 기지국 주파수 밴드의 증폭기를 제작하여 증폭기의 비선형 특성 개선을 확인하였다. 반송파 2톤 신호를 인가하였을 때, 주파수 간격이 1MHz에서 3차 혼변조 신호는 10.4dB 개선되었고, IS-95 CDMA 1FA 신호에서는 인접채널 전력비가 9.6dB 개선됨을 확인하였다.

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안전주입탱크의 재충수 단계 유동에 대한 이론해석 (Theoretical Study on the Flow of Refilling Stage in a Safety Injection Tank)

  • 박준상
    • 대한기계학회논문집B
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    • 제41권10호
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    • pp.675-683
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    • 2017
  • 본 연구에서 원자력 발전용 비상노심냉각 장치인 안전주입탱크의 재충수 단계에 대한 유량에 대한 이론해석을 수행했다. 이론해석을 통해 재충수 단계 유동에 대한 이론 모형을 정립하고 재충수 단계에 대한 비선형 유량방정식을 구하고, 테일러 급수 전개법을 통해 근사유량방정식과 냉각수의 자유표면 높이변화와 유량변화를 예측할 수 있는 이론해들을 구했다. 기존연구에 나와 있는 실험과 비교하여 이론해의 유용성을 검증했다.

Effects of Misalignment of High Speed Flexible Coupling on the Fighter Aircraft Transmission Characteristics

  • Samikkanu, Nagesh;Basha, Abu Muhammed Junaid
    • International Journal of Fluid Machinery and Systems
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    • 제5권2호
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    • pp.91-99
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    • 2012
  • The Fighter aircraft transmission system consists of a light weight, High Speed Flexible Coupling (HSFC) known as Power Take-Off shaft (PTO) for connecting Engine gearbox (EGB) with Accessory Gear Box (AGB). The HSFC transmits the power through series of specially contoured metallic annular thin flexible plates whose planes are normal to the torque axis. The HSFC operates at high speed ranging from 10,000 to 18,000 rpm. The HSFC is also catered for accommodating larger lateral and axial misalignment resulting from differential thermal expansion of the aircraft engine and mounting arrangement. The contoured titanium alloy flexible plates are designed with a thin cross sectional profile to accommodate axial and parallel misalignment by the elastic material flexure. This paper investigates the effect of misalignment on the transmission characteristics of the HSFC couplings. A mathematical model for the HSFC coupling with misalignment has been developed for analyzing the torque transmission and force interaction characteristics. An extensive testing has been conducted for validating characteristics of the designed coupling under various misalignment conditions. With this the suitability of the model adapted for the design iteration of HSFC development is validated. This method will reduce the design iteration cycles of HSFC and can be extended for the similar development of flexible couplings.

선전류에 의해 발생되는 자장의 해석을 위한 유한요소법과 해석해의 결합 기법 (Analysis of Magnetic Fields Induced by Line Currents using Coupling of FEM and Analytical Solution)

  • 김영선;조대훈;이기식
    • 전기학회논문지P
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    • 제55권3호
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    • pp.141-145
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    • 2006
  • The line current problem(2-dimensional space : point source) is not easy to analyze the magnetic field using the standard finite element method(FEM), such as overhead trolley line or transmission line. To supplement such a defect this paper is proposed the coupling scheme of analytical solution and FEM. In analysis of the magnetic field using the standard FEM. If the current region is a relatively small compared to the whole region. Therefore the current region must be finely divided using a large number of elements. And the large number of elements increase the number of unknown variables and the use of computer memories. In this paper, an analytical solution is suggested to supplement this weak points. When source is line current and the part of interest is far from line current, the analytical solution can be coupling with FEM at the boundary. Analytical solution can be described by the multiplication of two functions. One is power function of radius, the other is a trigonometric function of angle in the cylindrical coordinate system. There are integral constants of two types which can be established by fourier series expansion. Also fourier series is represented as the factor to apply the continuity of the magnetic vector potential and magnetic field intensity with tangential component at the boundary. To verify the proposed algorithm, we chose simplified model existing magnetic material in FE region. The results are compared with standard FE solution. And it is good agreed by increasing harmonic order.

ANALYTICAL AND NUMERICAL SOLUTIONS OF A CLASS OF GENERALISED LANE-EMDEN EQUATIONS

  • RICHARD OLU, AWONUSIKA;PETER OLUWAFEMI, OLATUNJI
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제26권4호
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    • pp.185-223
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    • 2022
  • The classical equation of Jonathan Homer Lane and Robert Emden, a nonlinear second-order ordinary differential equation, models the isothermal spherical clouded gases under the influence of the mutual attractive interaction between the gases' molecules. In this paper, the Adomian decomposition method (ADM) is presented to obtain highly accurate and reliable analytical solutions of a class of generalised Lane-Emden equations with strong nonlinearities. The nonlinear term f(y(x)) of the proposed problem is given by the integer powers of a continuous real-valued function h(y(x)), that is, f(y(x)) = hm(y(x)), for integer m ≥ 0, real x > 0. In the end, numerical comparisons are presented between the analytical results obtained using the ADM and numerical solutions using the eighth-order nested second derivative two-step Runge-Kutta method (NSDTSRKM) to illustrate the reliability, accuracy, effectiveness and convenience of the proposed methods. The special cases h(y) = sin y(x), cos y(x); h(y) = sinh y(x), cosh y(x) are considered explicitly using both methods. Interestingly, in each of these methods, a unified result is presented for an integer power of any continuous real-valued function - compared with the case by case computations for the nonlinear functions f(y). The results presented in this paper are a generalisation of several published results. Several examples are given to illustrate the proposed methods. Tables of expansion coefficients of the series solutions of some special Lane-Emden type equations are presented. Comparisons of the two results indicate that both methods are reliably and accurately efficient in solving a class of singular strongly nonlinear ordinary differential equations.

승용차용 세라믹 촉매 담체의 열적 내구성의 실험적 평가 (Experimental Estimation of Thermal Durability in Ceramic Catalyst Supports for Passenger Car)

  • 백석흠;김성용;승삼선;양협;주원식;조석수
    • 대한기계학회논문집A
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    • 제31권12호
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    • pp.1157-1164
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    • 2007
  • Ceramic honeycomb structures have performed successfully as catalyst supports for meeting hydrocarbon, carbon monoxide and nitrous emissions standards for gasoline-powered vehicles. Three-way catalyst converter has to withstand high temperature and thermal stress due to pressure fluctuations and vibrations. Thermal stress constitutes a major portion of the total stress which the ceramic catalyst support experiences in service. In this study, temperature distribution was measured at ceramic catalyst supports. Thermal durability was evaluated by power series dynamic fatigue damage model. Radial temperature gradient was higher than axial temperature gradient. Thermal stresses depended on direction of elastic modulus. Axial stresses are higher than tangential stresses. Tangential and axial stresses remained below thermal fatigue threshold in all engine operation ranges.

두께가 變化하는 有限幅板材에서의 모우드 I 龜裂 應力擴大係數 解析 (Analysis of th estress intensity factor of mode I crack in a finite width plate with variable thickness)

  • 양원호;방시항
    • 대한기계학회논문집
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    • 제11권1호
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    • pp.132-144
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    • 1987
  • 본 논문에서는 Isida의 이론해석 방법을 참고로 하여 유한한한 폭을 갖는 두 께가 변화하는 판재에서의 응력확대계수를 2차원 이론해석한 것이다.

Temperature effect on spherical Couette flow of Oldroyd-B fluid

  • Hassan, A. Abu-El;Zidan, M.;Moussa, M.M.
    • Korea-Australia Rheology Journal
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    • 제19권4호
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    • pp.201-209
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    • 2007
  • The present paper is concerned with non-isothermal spherical Couette flow of Oldroyd-B fluid in the annular region between two concentric spheres. The inner sphere rotates with a uniform angular velocity while the outer sphere is kept at rest. Moreover, the two spherical boundaries are maintained at fixed temperature values. Hence, the fluid is effect by two heat sources; namely, the viscous heating and the temperature gradient between the two spheres. The viscoelasticity of the fluid is assumed to dominate the inertia such that the latter can be neglected. An approximate analytical solution of the energy and momentum equations is obtained through the expansion of the dynamical fields in power series of Nahme number. The analysis show that, the temperature variation due to the external source appears in the zero order solution and its effect extends to the fluid velocity distribution up to present second order. Viscous heating contributes in the first and second order solutions. In contrast to isothermal case, a first order axial velocity and a second order stream function fields has been appeared. Moreover, at higher orders the temperature distribution depends on the gap width between the two spheres. Finally, there exist a thermal distribution of positive and negative values depend on their positions in the domain region between the two spheres.

비동질 탄성 무한공간에 대한 비례경계유한요소법의 동적강도행렬 (Dynamic Stiffness of the Scaled Boundary Finite Element Method for Non-Homogeneous Elastic Space)

  • 이계희
    • 한국전산구조공학회논문집
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    • 제23권2호
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    • pp.165-173
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    • 2010
  • 본 논문에서는 비동질 탄성무한공간에 대한 비례경계유한요소법의 동적강도행렬을 해석적으로 유도하였다. 해석영역의 비동질성은 비동질파라메터를 지수로 하는 멱함수로 고려하였다. 동적강도행렬은 진동수영역에서 다항식으로 점근전개한 후, 방사조건을 만족시키도록 하여 각 다항식의 계수를 구하는 과정을 통하여 유도되었다. 얻어진 동적강도행렬의 타당성을 검증하기 위해 정확해가 알려져 있는 대표적인 문제에 대하여 비동질파라메터의 값을 변화시키면서 수치해석을 수행하였다. 그 결과 유도된 동적강도행렬이 비동질공간에 대한 특성을 적절하게 반영하는 것으로 나타났다.

Combination resonances in forced vibration of spar-type floating substructure with nonlinear coupled system in heave and pitch motion

  • Choi, Eung-Young;Jeong, Weui-Bong;Cho, Jin-Rae
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제8권3호
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    • pp.252-261
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    • 2016
  • A spar-type floating substructure that is being widely used for offshore wind power generation is vulnerable to resonance in the heave direction because of its small water plane area. For this reason, the stable dynamic response of this floating structure should be ensured by accurately identifying the resonance characteristics. The purpose of this study is to analyze the characteristics of the combination resonance between the excitation frequency of a regular wave and natural frequencies of the floating substructure. First, the nonlinear equations of motion with two degrees of freedom are derived by assuming that the floating substructure is a rigid body, where the heaving motion and pitching motions are coupled. Moreover, to identify the characteristics of the combination resonance, the nonlinear term in the nonlinear equations is approximated up to the second order using the Taylor series expansion. Furthermore, the validity of the approximate model is confirmed through a comparison with the results of a numerical analysis which is made by applying the commercial software ANSYS AQWA to the full model. The result indicates that the combination resonance occurs at the frequencies of ${\omega}{\pm}{\omega}_5$ and $2{\omega}_{n5}$ between the excitation frequency (${\omega}$) of a regular wave and the natural frequency of the pitching motion (${\omega}_{n5}$) of the floating substructure.