• Title/Summary/Keyword: Double Fourier

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The Vibration Analysis for the Metal-Piezoceramic Composite Thin Plates (금속-압전세라믹 복합 평판의 진동해석)

  • Go Young-Jun;Nam Hyo-Duk;Chang Ho-Gyeong
    • Proceedings of the Acoustical Society of Korea Conference
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    • spring
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    • pp.307-310
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    • 1999
  • An analysis of the free vibration for the metal-piezoceramic composite thin plates is described. The purpose of this study is to develop a equivalent method for the free vibration analysis of metal-piezoceramic composite thin plates which are not symmetrically about the adhered layer and the piezoelectric effect. In order to confirm the validity of the vibration analysis, double Fourier sine series is used as a modal displacement function of a metal-piezoceramic composite thin plate and applied to the free vibration analysis of the plate under various boundary conditions.

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Back-EMF Characteristic Comparison of Vertical and Halbach Permanent Magnet Linear Generator (수직 및 할박자화를 갖는 영구자석 선형발전기의 역기전력 특성비교)

  • Seo, Sung-Won;Koo, Min-Mo;Choi, Jang-Young;Kim, Kyong-Hwan
    • Proceedings of the KIEE Conference
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    • 2015.07a
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    • pp.794-795
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    • 2015
  • This paper deals with back-EMF characteristic comparison of Vertical and Halbach array double-sided linear generator with coreless type. On the basis of a magnetic vector potential and Maxwell's equations, governing equations are obtained, and magnetic modeling is predicting characteristic analysis by using the Fourier series expansion. And then, we obtained magnetic field solutions and calculated resistance, back-EMF constant. The analytical results used by 2-D cylindrical coordinate system. The analytical method used in this paper is confirmed by comparing with finite element analysis results.

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Transient Response of Composite Cylindrical Shells with Ring Stiffeners (링보강 복합재료 원통셸의 과도응답)

  • Kim, Young-Wann;Chung, Kang;Park, Kyung-Jo
    • Proceedings of the KSME Conference
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    • 2001.06a
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    • pp.883-888
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    • 2001
  • The theoretical method is developed to investigate the effects of ring stiffeners on free vibration characteristics and transient response for the ring stiffened composite cylindrical shells subjected to the impulse pressure loading. In the theoretical procedure, the Love's thin shell theory combined with the discrete stiffener theory to consider the ring stiffening effect is adopted to formulate the theoretical model. The concentric or eccentric ring stiffeners are laminated with composite and have the uniform rectangular cross section. The modal analysis technique is used to develop the analytical solutions of the transient problem. The analysis is based on an expansion of the loads, displacements in the double Fourier series that satisfy the boundary conditions. The effect of stiffener's eccentricity, number, size, and position on transient response of the shells is examined. The theoretical results are verified by comparison with FEM results.

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Selection of pulse number and modulation index for minimum speed ripple in trapezoidal CSI-PWM (Trapezoidal PWM 전류원 인버터에서 최소 Speed Ripple을 위한 펄스 수 및 변조도의 결정)

  • Kwon, Woo-Hyeon;Goo, Bon-Ho;Lee, Chi-Hwan;Lee, Chang-Hwa
    • Proceedings of the KIEE Conference
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    • 1988.07a
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    • pp.127-129
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    • 1988
  • Square-wave current source inverter drives suffer from torque pulsation and speed variation at low speed. Attempts to minimize these problems, CSI PWM strategies have been reported. It is shown that these PWM strategies are based on unnecessarily restrictive modulation laws. In this paper, trapezoidal PWM strategy for CSI is investigated theoratically by double fourier series and we proposed Harmonic Speed ripple Factor(HSF) that is independent of motor parameters and load conditions. Speed ripple are considered in T-PWM and square wave inverter by HSF. We obtain modulation index(M) and carrier ratio (CR) for minimum speed ripple.

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An Electrical Effect Analysis of Asynchronous Phenomena in Parallel Operation of Synchronous Generator (동기발전기(同期發電機)의 병열혼전(竝列渾轉)시 비동기현상(非同期現象)에서 발생(發生)하는 전기현상해석(電氣現象解析))

  • Lee, Eun-Woong;Lim, Jae-Il;Lee, Dong-Ju;Kim, Jong-Gyeum;Jo, Sung-Bae
    • Proceedings of the KIEE Conference
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    • 1997.07a
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    • pp.234-237
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    • 1997
  • In the Closing time in order to operate synchronous generators parallely, it is generated the asynchronous phenomena. These asynchronous phenomena give rise of the eddy current on the rotor. These eddy current are solved analytically for the Laplace' Equ. ${\nabla}^2{\widetilde{H}}=0$ in free space and for the Bullard's Equ. ${\nabla}^2{\widetilde{H}}$+${\sigma}_r{\mu}_r{\nabla}$${\times}$${\widetilde{\nu}}_r$${\times}$${\widetilde{H}}^{III}$=${\sigma}_r{\mu}_r{\frac{{\partial}H}{{\partial}t}}$ for the rotor by using each double Fourier series component of the 3D H-field

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Microwave Synthesis of Hydrotalcite by Urea Hydrolysis

  • Yang, Zhiqiang;Choi, Kwang-Min;Jiang, Nanzhe;Park, Sang-Eon
    • Bulletin of the Korean Chemical Society
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    • v.28 no.11
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    • pp.2029-2033
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    • 2007
  • Hydrotalcite, layered double hydroxides (LDH), with hexagonal morphology has been rapidly synthesized by microwave reaction within 1 hour by urea hydrolysis from homogeneous solution. Different synthesis parameters, Mg/Al molar ratio, microwave reaction temperature and microwave power were systematically investigated. Pure hydrotalcite phase was obtained for Mg/Al ratios of 2:1 and 3:1, and higher reaction temperature gave higher crystallinity. The hydrotalcite synthesized at 600W power shows the highest crystallinity and more homogeneous crystal size distribution. The hydrotalcite samples were characterized by powder X-ray diffraction (XRD), simultaneous thermogravimetric/differential thermal analysis (TG/DTA), Fourier Transform Infrared (FT-IR) and Scanning electron micrograph (SEM).

On the Dynamic Response of Laminated Circular Cylindrical Shells under Dynamic Loads (동하중을 받는 복합재료 원통셸의 동적거동 해석)

  • 이영신;이기두
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.11
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    • pp.2684-2693
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    • 1993
  • The free vibration and dynamic response of cross-ply for CFRP and GFRP laminated circular cylindrical shells under dynamic loadings are investigated by using the first-order shear deformation shell theory. The modal analysis technique is used to develop the analytical solutions of simply supported cylindrical shells under dynamic load. The analysis is based on an expansion of the loads, displacements and rotations in a double Fourier series which satisfies the and boundary conditions of simply support. Analytical solution is assumed to be separable into a function of time and a function of position. In this paper, the considered load forces are step pulse, sine pulse, triangular(1, 2, 3) pulse and exponential pulse. The solution for a given loading pulse can be found by involving the convolution integral. The results show that the dynamic response are governed primarily by the natural period of the structure.

The Effect of Wedges and the Electrical Characteristics of the Turbo-Generator Rotor of SSR Phenomena (자동기 공진 현상에서 터어보발전기 회전자의 전기적 특성과 Wedge의 영향)

  • 이은웅;이민명;김일중
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.40 no.4
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    • pp.407-416
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    • 1991
  • A turbogenertor without damper cage is divided into five regions according to compoding materials in the radial direcrion. And the electric and magnetic field of each region in the subsynchronous resonance (SSR) phenomena is analyzed in this paper. The analytical method is based on solving a boundary value problem involving a three-dimensional magnetic diffrsion equation and the basic function consists of the double Fourier series. And the electrical characteristics of the material and kthickness of the wedges inserted in slot of the region III, which is dependent on frequency, is to be investigated.

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FT-IR Studies of Molybdena Supported on Titania

  • Kim, Kwan;Lee,, Soon-Bo
    • Bulletin of the Korean Chemical Society
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    • v.12 no.1
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    • pp.17-22
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    • 1991
  • Fourier transform infrared spectroscopy has been applied to the characterization of titania supported molybdena. The equilibrium adsorption method seemed to produce molybdena species homogeneously dispersed on the support. Even under an oxidizing environment, molybdena species appeared to be able to possess coordinatively unsaturated $Mo^{5+}$ ions owing to the natures of TiO$_2$, i.e. oxygen deficiency and permeability toward oxygen diffusion. At the initial stage of reduction, the terminal double bond oxygen ( Mo=O ) seemed to be removed, generating presumably $Mo^{4+}$. The carbonyl bands at 2198 and 2190 $cm^{-1}$ observed after CO exposure were attributed to the $Mo^{5+}{\cdots}CO\;and\;Mo^{4+}\;{\cdots}CO$ complexes, respectively, while the band pair at 2136 and 2076 $cm^{-1}$ to $Mo^{4+}(CO)_2$.

Novel FFT Acquisition Scheme with Baseband Resampling for Multi-GNSS Receivers

  • Jinseok, Kim;Sunyong, Lee;Hung Seok, Seo
    • Journal of Positioning, Navigation, and Timing
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    • v.12 no.1
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    • pp.59-65
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    • 2023
  • A GNSS receiver must perform signal acquisition to estimate the code phase and Doppler frequency of the incoming satellite signals, which are essential information for baseband signal processing. Modernized GNSS signals have different modulation schemes and long PRN code lengths from legacy signals, which makes it difficult to acquire the signals and increases the computational complexity and time. This paper proposes a novel FFT/Inverse-FFT with baseband resampling to resolve the aforementioned challenges. The suggested algorithm uses a single block only for the FFT and thereby requires less hardware resources than conventional structures such as Double Block Zero Padding (DBZP). Experimental results based on a MATLAB simulation show this algorithm can successfully acquire GPS L1C/A, GPS L2C, Galileo E1OS, and GPS L5.