• 제목/요약/키워드: Finite Fourier series

검색결과 101건 처리시간 0.029초

Effective time-frequency characterization of Lamb wave dispersion in plate-like structures with non-reflecting boundaries

  • Wang, Zijian;Qiao, Pizhong;Shi, Binkai
    • Smart Structures and Systems
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    • 제21권2호
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    • pp.195-205
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    • 2018
  • Research on Lamb wave-based damage identification in plate-like structures depends on precise knowledge of dispersive wave velocity. However, boundary reflections with the same frequency of interest and greater amplitude contaminate direct waves and thus compromise measurement of Lamb wave dispersion in different materials. In this study, non-reflecting boundaries were proposed in both numerical and experimental cases to facilitate time-frequency characterization of Lamb wave dispersion. First, the Lamb wave equations in isotropic and laminated materials were analytically solved. Second, the non-reflecting boundaries were used as a series of frames with gradually increased damping coefficients in finite element models to absorb waves at boundaries while avoiding wave reflections due to abrupt property changes of each frame. Third, damping clay was sealed at plate edges to reduce the boundary reflection in experimental test. Finally, the direct waves were subjected to the slant-stack and short-time Fourier transformations to calculate the dispersion curves of phase and group velocities, respectively. Both the numerical and experimental results suggest that the boundary reflections are effectively alleviated, and the dispersion curves generated by the time-frequency analysis are consistent with the analytical solutions, demonstrating that the combination of non-reflecting boundary and time-frequency analysis is a feasible and reliable scheme for characterizing Lamb wave dispersion in plate-like structures.

접지된 유전체 평면위의 변하는 저항율을 갖는 저항띠 격자구조에 의한 H-분극 산란 : 한쪽 모서리에서 유한하고 다른쪽 모서리로 가면서 0인 경우 (H-Polarized Scattering by a Resistive Strip Grating with the Tapered Resistivity Over a Grounded Dielectric Plane : from Finite at One Strip-Edge to Zero at the Other Strip-Edge)

  • 윤의중
    • 한국항행학회논문지
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    • 제15권4호
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    • pp.543-548
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    • 2011
  • 본 논문에서는 스트립 폭과 격자주기, 유전체 층의 비유전율과 두께, 그리고 TE(transverse electric) 평면파의 입사각에 따른 접지된 유전체 평면위의 변하는 저항율을 갖는 저항띠 격자구조에 의한 H-분극 전자파 산란문제를 FGMM(Fourier-Galerkin Moment Method)를 이용하여 해석하였다. 저항띠의 변하는 저항율은 한쪽 모서리에서는 유한하고 다른쪽 모서리에서 0 저항율을 가지며, 이때 저항띠 위에서 유도되는 표면 전류밀도는 직교다항식의 일종인 차수가 ${\alpha}=1$, ${\beta}=0$인 Jacobi 다항식의 급수로 전개하였다. 정규화된 반사전력의 수치결과는 기존의 수치결과와 매우 일치하였다.

설계 변수에 따른 리니어 스위치드 릴럭턴스 전동기의 힘특성 해석 (Force Characteristic Analysis of Linear Switched Reluctance Motor according to Design Parameter)

  • 장석명;박지훈;최장영;유대준;고경진;성호경
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2008년도 춘계학술대회 논문집 전기기기 및 에너지변환시스템부문
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    • pp.77-79
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    • 2008
  • This paper deals with extraction of design parameters of Linear Switched Reluctance Motor (LSRM) based on force calculation using space harmonic analysis, 2D Finite Element Method (FEM) and experimental measurement. First, analytical solutions for flux density due to mover winding currents are derived in terms of magnetic vector potential and a 2D rectangular coordinate system, for the case when the mover is located at aligned and unaligned position. The analytical results are compared with those obtained from a 2D FEM Second, using Fourier series expansion, this paper predicts the force profile of LSRM analytically.

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자동차 부품용 BLDC 모터 내의 코깅 토크 저감을 위한 설계 변수의 민감도 해석 (Sensitivity Analysis of Design Parameters for Reduction of Cogging Torque in Brushless DC Motors used for Automobile Part)

  • 황상문
    • 한국자동차공학회논문집
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    • 제6권2호
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    • pp.235-243
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    • 1998
  • For motor operation at low speeds and loads, torque pulsation by the cogging torque is often a source of vibration and control difficulty. In this paper, the magnetic field of a motor is calculated by finite element method. The periodic cogging torque is determined using Maxwell stress method and time stepping method, and then decomposed using fourier series expansion, The purpose of this paper is to characterize design parameters on the cogging torque and to design a permanent magnet motor with a cogging torque less vulnerable to vibration, without sacrificing the motor performance. The design parameters include stator slot width, permanent magnet slot width, airgap length and magnetization direction. A new design with a less populated frequency spectrum of the cogging torque is proposed after characterizing individual effect of design parameters. Magnet pole edge shaping, by gradually increasing the cogging torque with reduced higher harmonics.

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Central Crack in a Piezoelectric Disc

  • Kwon, Jong-Ho
    • Journal of Mechanical Science and Technology
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    • 제18권9호
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    • pp.1549-1558
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    • 2004
  • This study is concerned with the general solution of the field intensity factors and energy release rate for a Griffith crack in a piezoelectric ceramic of finite radius under combined anti-plane mechanical and in-plane electrical loading. Both electrically continuous and impermeable crack surface conditions are considered. Employing Mellin transforms and Fourier series, the problem is reduced to dual integral forms. The solution to the resulting expressions is expressed in terms of Fredholm integral equation of the second kind. The solutions are provided to study the influence of the crack length, the crack surface boundary conditions on the intensity factors and the energy release rate.

이론 해를 이용한 층간 분리된 적층판의 충격거동 해석 (Impact response analysis of delaminated composite laminates using analytical solution)

  • 김성준;신정우;채동철
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2007년도 춘계학술대회A
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    • pp.315-320
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    • 2007
  • An analytical solution has been developed for the impact response of delaminated composite plates. The analysis is based on an expansion of loads, displacements, and rotations in a Fourier series which satisfies the end boundary conditions of simply-supported. The analytical formulation adopts the Laplace transformation technique, requiring a linearization of contact deformation. In this paper, the nonlinear contact stiffness is replaced by a linearized stiffness, to provide an estimate of the additional compliance due to contact area deformation effects. It has been shown that defects such as delaminations may be modeled as spring stiffness. The change in the impact characteristics as this spring stiffness has been investigated theoretically. Predicted impact responses using analytical solution are compared with the numerical ones from the 3-D non-linear finite element model. From the results, it is shown that analytical solution was found to be reliable for predicting the impact response.

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공간 고조파를 고려한 L.I.M.의 특성해석에 관한 연구 (A study on the characteristics analysis of L.I.M. considering space harmonics)

  • 임달호;김규탁;김윤현
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1988년도 추계학술대회 논문집 학회본부
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    • pp.325-328
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    • 1988
  • Until now to analysis of LIM first winding current distribution is assumed to be finite sinusoidal current. But this method have demerits to learn the difference of LIM's characteristics which is produced by difference of winding method. So in this paper amodel of which period is the length core and air gap mmf of this winding current developed to fourier series, then mmf which contain air gap mmf is obtained this mmf is transformed to current sheet and the analysis result which are obtained by using sinusoidal first current and proposed method are compared.

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3차원 공간고조파법을 이용한 슬롯리스형 영구자석 선형 동기전동기의 자계 및 추력특성 해석 (Analysis of Magnetic Field and Thrust in Slotless Permanent Magnet Linear Synchronous Motor using 3D Space Harmonic Analysis Method)

  • 이주민;강규홍;홍정표;김규탁
    • 대한전기학회논문지:전기기기및에너지변환시스템부문B
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    • 제50권6호
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    • pp.255-262
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    • 2001
  • This paper deals with characteristic analysis method of the slotless type Permanent Magnet Linear Synchronous Motor(PMLSM) using the space harmonic method. Analysis models of the PM and the armature current are described by the magnetization configurations taking into account the 2D and 3D distribution. In 3D analysis, the thrust and normal force can be calculated more accurately, because it can consider the z component flux density which is impossible in 2D analysis. In order to verify the validity of the proposed method, the results of the analytic method are compared with not only the experimental ones but ones of Finite Element Method(FEM).

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3상 집중권 권선을 갖는 코어리스/코어드 타입 리니어 발전기의 공간고조파 해석법을 이용한 전기자 반작용 자계특성 해석 (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)

  • 서성원;구민모;강한빛;최장영
    • 전기학회논문지
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    • 제64권1호
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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.

PVDF 센서신호를 이용한 Gr/Ep 적층판의 저속충격 손상탐지 (Low-Velocity Impact Damage Detection for Gr/Ep Laminates Using PVDF Sensor Signals)

  • 박찬익;김인걸;이영신
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2003년도 추계학술발표대회 논문집
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    • pp.158-162
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    • 2003
  • The PVDF(polyvinylidene fluoride) film sensor as one of smart sensors has good characteristics to detect the impact damages of composite structures. The capabilities of the PVDF film sensor for evaluating impact behaviors and damages of Gr/Ep laminates subjected to low-velocity impact were examined. From sensor signals, the specific wave-forms implying the damage were detected. The wavelet transform(WT) and Short Time Fourier Transform(STFT) were used to decompose the piezoelectric sensor signals in this study. The impact behaviors of Gr/Ep laminates were simulated and the impact forces were reconstructed using the sensor signals. Finally, the impact damages were predicted by finite element analysis with the reconstructed forces. For experimental verification, a series of low-velocity impact tests from low energy to damage-induced energy were carried-out. The extent of damage in each case was examined by means of ultrasonic C-scan and the measured damage areas were agreed well with the predicted areas by the F.E.A.

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