• Title/Summary/Keyword: Fourier Basis

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Eigenvalue Analysis of Circular Mindlin Plates Using the Pseudospectral Method (의사스펙트럴법을 이용한 원형 Mindlin 평판의 동적특성 해석)

  • Lee, Jin-Hee
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.6
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    • pp.1169-1177
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    • 2002
  • A study of fee vibration of circular Mindlin plates is presented. The analysis is based on the pseudospctral method, which uses Chebyshev polynomials and Fourier series as basis functions. It Is demonstrated that rapid convergence and accuracy as well as the conceptual simplicity could be achieved when the pseudospectral method was apt)lied to the solution of eigenvalue problems. Numerical examples of circular Mindlin plates with clamped and simply supported boundary conditions are provided for various thickness-to-radius ratios.

Analysis on Eddy Current Losses of High Speed Permanent Magnet Synchronous Motor for Turbo Compressor according to Voltage Source Driving (전압 구동 방법에 따른 터보 압축기용 초고속 영구자석 동기 전동기의 회전자 손실 해석)

  • Jang, Seok-Myeong;Kim, Hyun-Kyu;Ko, Kyoung-Jin;Lee, Sung-Ho;Hong, Young-Hee
    • Proceedings of the KIEE Conference
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    • 2009.07a
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    • pp.712_713
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    • 2009
  • This paper deals with the analysis on eddy current looses of high speed permanent magnet synchronous motor (PMSM) for turbo compressor according to voltage source driving. This paper presents analytical procedures for calculation of the eddy current losses using Poynting theorem. On the basis of the magnetic vector potential and a two-dimensional (2-D) cylindrical coordinate system, this paper derived analytical solutions of the eddy current looses using phase current analysis. The eddy current losses of each harmonic obtained by fast Fourier transform (FFT) analysis of phase current are with results obtained from finite-element method (FEM).

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Early Detection Technique in IPM-type Motor with Stator-Turn Fault using Impedance Parameter (임피던스 성분을 이용한 매입형 영구자석 전동기의 고정자 절연파괴 고장의 초기 검출 기법)

  • Jeong, Chae-Lim;Kim, Kyung-Tae;Hur, Jin
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.62 no.5
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    • pp.612-619
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    • 2013
  • This paper proposes an early diagnosis technique for the stator-turn fault (STF) in an interior permanent magnet (IPM)-type brushless DC (BLDC) motor using the impedance parameter. We have analyzed the varying characteristics owing to the STF through various experiments and the finite element method (FEM). As a result, we have presented a simple method for fault detection. This technique can be applied without requiring a fast Fourier transform (FFT) and the calculation of the negative-sequence impedance. The fault detection system works on the basis of the comparison the measured impedance with the database impedance. The variations in the characteristics owing to the STF as well as the proposed technique have been verified through the simulation and experiment.

Biomineralization of Calcium Carbonate Polymorphs by the Bacterial Strains Isolated from Calcareous Sites

  • Dhami, Navdeep Kaur;Reddy, M. Sudhakara;Mukherjee, Abhijit
    • Journal of Microbiology and Biotechnology
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    • v.23 no.5
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    • pp.707-714
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    • 2013
  • Microbially induced calcium carbonate precipitation (MICCP) is a naturally occurring biological process that has various applications in remediation and restoration of a range of building materials. In the present investigation, five ureolytic bacterial isolates capable of inducing calcium carbonate precipitation were isolated from calcareous soils on the basis of production of urease, carbonic anhydrase, extrapolymeric substances, and biofilm. Bacterial isolates were identified as Bacillus megaterium, B. cereus, B. thuringiensis, B. subtilis, and Lysinibacillus fusiformis based on 16S rRNA analysis. The calcium carbonate polymorphs produced by various bacterial isolates were analyzed by scanning electron microscopy, confocal laser scanning microscopy, X ray diffraction, and Fourier transmission infra red spectroscopy. A strain-specific precipitation of calcium carbonate forms was observed from different bacterial isolates. Based on the type of polymorph precipitated, the technology of MICCP can be applied for remediation of various building materials.

Finite Element Analysis on the Motion Accuracy of Double-sides Hydrostatic Table (양면지지형 유정압테이블 운동정밀도의 유한요소 해석)

  • 박천홍;정재훈;이후상;이찬홍
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2000.11a
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    • pp.188-192
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    • 2000
  • An analysjs model for calculation the motion accuarcy of double sides hydrostatic table is proposed in thn paper. For the analysis of motion accuracy, profiles of each rails are assumed as periodic function, and represented using Fourier coefficients. Variahon of bearing clearance is represented as the vanation of linear, angular displacement of table and profiles of rails. Motion accuracy is calculated in the basis of finite element analysis on the pressure dutributmn of table. In order to improve calculating time in the analysis of motion accuracy, The proposed modeling method converts double sides table to single side table equivalently Results by the proposed method 1s compared with directly caculated results mdyhcally, and also compared wlth experimental results. From the theoretical and experimental analysis, it is confirmed that the proposed modeling mothod is very effective to analyze the motion accuracy of dauble sides hydrostatic table.

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Comparison and Analysis of Armature Reaction Magnetic Field of Linear Generator with Coreless/Cored Type Three Phases Concentrated Winding by using Space Harmonic Analytical Method (3상 집중권 권선을 갖는 코어리스/코어드 타입 리니어 발전기의 공간고조파 해석법을 이용한 전기자 반작용 자계특성 해석)

  • Seo, Sung-Won;Koo, Min-Mo;Kang, Han-Bit;Choi, Jang-Young
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.64 no.1
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    • pp.64-71
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    • 2015
  • This paper deals with analysis of armature reaction magnetic field of linear generator with three phases coreless/cored type concentrated winding. On the basis of a magnetic vector potential and Maxwell's equations, governing equations to predict armature reaction field are derived, and current density modeling is also performed analytically by using the Fourier series expansion. The analytical method used in this paper is confirmed by comparing with finite element analysis results.

Analysis of scattering fields by conductors with arbitrary cross-section in parallel-plate waveguide (평행판 도파관내의 산란 도체에 의한 산란파 해석)

  • 정봉식;김현정;김응수;조규완
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.32A no.12
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    • pp.65-73
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    • 1995
  • In this paper, new algorithm which calculates transmission coefficient of electromagnetic wave by numerical analysis of scattered field by conductors with arbitrary cross-sections in parallel-plate waveguide is proposed. Proposed algorithm assumes magnetic current distribution on the boundary of scattering conductors, and applies Image theorem to perfect conductor surfaces of parallel-plate waveguide. Integral equations for fictitious magnetic currents on conducting boundary are set up. Magnetic current distributions on conducting boundary are expanded as exponential basis function, and using Galerkin method matrix equations are set wp. To compute matrix elements this method utilizes Fourier transform which is faster than numerical integration. Finally, frequency and incidence-angle characteristic of transmission coefficient are calculated and compared with experimental results.

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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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GENERALIZED THERMOELASTICITY WITH TEMPERATURE DEPENDENT MODULUS OF ELASTICITY UNDER THREE THEORIES

  • Ezzat, M.;Zakaria, M.;Abdel-Bary, A.
    • Journal of applied mathematics & informatics
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    • v.14 no.1_2
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    • pp.193-212
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    • 2004
  • A new model of generalized thermoelasticity equations for isotropic media with temperature-dependent mechanical properties is established. The modulus of elasticity is taken as a linear function of reference temperature. The present model is described both generalizations, Lord Shulman (L-S) theory with one relaxation time and Green-Lindsay (G-L) with two relaxation times, as well as the coupled theory, instantaneously. The method of the matrix exponential, which constitutes the basis of the state space approach of modern control theory, applied to two-dimensional equations. Laplace and Fourier integral transforms are used. The resulting formulation is applied to a problem of a thick plate subject to heating on parts of the upper and lower surfaces of the plate that varies exponentially with time. Numerical results are given and illustrated graphically for the problem considered. A comparison was made with the results obtained in case of temperature-independent modulus of elasticity in each theory.

Dynamic Response of an Anti-plane Shear Crack in a Functionally Graded Piezoelectric Strip

  • Kwon, Soon-Man;Lee, Kang-Yong
    • Journal of Mechanical Science and Technology
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    • v.18 no.3
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    • pp.419-431
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    • 2004
  • The dynamic response of a cracked functionally graded piezoelectric material (FGPM) under transient anti-plane shear mechanical and in-plane electrical loads is investigated in the present paper. It is assumed that the electroelastic material properties of the FGPM vary smoothly in the form of an exponential function along the thickness of the strip. The analysis is conducted on the basis of the unified (or natural) crack boundary condition which is related to the ellipsoidal crack parameters. By using the Laplace and Fourier transforms, the problem is reduced to the solutions of Fredholm integral equations of the second kind. Numerical results for the stress intensity factor and crack sliding displacement are presented to show the influences of the elliptic crack parameters, the electric field, FGPM gradation, crack length, and electromechanical coupling coefficient.