• Title/Summary/Keyword: 푸리에 해석

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Eigen-Analysis of Engine mount system with Hydraulic Mount (하이드로릭 마운트가 장착된 지지계의 고유치 해석)

  • 고강호;김영호
    • Journal of KSNVE
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    • v.10 no.5
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    • pp.800-805
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    • 2000
  • To determine the modal matrix and modal frequency of engine mount system, we most solve so-called eigen-value problem. However eigen-value problem of engine mount system with hydraulic mount can not be solved by general eigne-analysis algorithm because the properties of hydraulic mount vary with frequency. so in this paper the method for modal analysis of rigid body motions of an engine supported by hydraulic mount is proposed. Natural frequencies and mode shapes of this nonlinear system are obtained by using complex exponential method and Laplace transformation method. In time domain, impulse response functions are calculated by (two-sided) discrete inverse Fourier Transformation of forced frequency response functions achieved by Laplace transformation of the differential equation of motion. Considering the fact that frequency response functions synthesized by modal parameters form proposed method are in good agreement with original FRFs, it is proved that the proposed method is very efficient and useful for the analysis of eigne-value problem of hydraulic engine mount system.

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Fractal calculus for water pollutant diffusion modeling (하천 오염물질 이송확산 모의에서의 프랙탈 계산기법)

  • Kim, Sangdan;Song, Mee Young
    • Proceedings of the Korea Water Resources Association Conference
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    • 2004.05b
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    • pp.552-556
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    • 2004
  • 프랙탈 이송확산방정식은 정수 차수의 미분연산자로 구성된 고전적인 이송확산방정식과 비교하여 프랙탈 차수의 미분연산자로 구성된 보다 상위개념의 방정식으로써 정의된다. 지금까지의 프랙탈 이송확산방정식은 추계학적인 기법을 동원하여 푸리에-라플라스 공간에서 주로 해석되었으나, 본 연구에서는 실제 공간에서 유한차분개념을 도입하여 보다 직접적으희 하천에서의 오염물 이송확산에 관한 지배방정식을 유도하였다. 이러한 개념의 유도방법은 프랙탈 차수 및 관련 확산계수의 물리적인 추정에 관한 실마리를 제공할 수 있다. 고전적인 이송확산방정식과는 달리 프랙탈 이송확산방정식은 실제 하천에서 관측되는 오염물의 시간-농도 분포곡선의 왜곡현상과 분포곡선의 전후방부 농도를 보다 실제에 가깝게 모의할 수 있을 것으로 기대되어진다.

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Transient Analysis of Magnetodynamic Systems Using Fourier Transform and Frequency Sensitivity (푸리에 변환과 주파수 민감도를 이용한 시변자장 시스템에서의 과도상태 해석)

  • Choi, Myung-Jun;Kim, Chang-Hyun;Park, Il-Han
    • Proceedings of the KIEE Conference
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    • 1998.07a
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    • pp.64-66
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    • 1998
  • This paper presents a new efficient method for transient analysis in magnetodynamic systems of linear eddy current problems. This mehtod employs the Fourier transform and the high-order frequency sensitivity of harmonic finite element method. By taking into account the time-constant of magnetodynamic system, the Fourier integral of continuous frequency is converted into the Fourier series of discrete frequency. And with the results of Fourier series expansion of converted input wave form, the responses of each sinusoids is superposed to give the total response of the magnetodynamic systems. But, if the frequency band of input wave form is broad, it takes long computational time since all responses for each sinusoids must be calculated. Therefore, the high-order frequency sensitivity method is employed to estimate the response variation to frequency. The proposed algorithm is applied to an induction heating system to validate its numerical efficiency.

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Dynamic Analysis of Engine Response to Throttle Tip-in/Tip-out (Tip-in/Tip-out 시의 엔진의 동적 거동 해석)

  • Ko, Kang-Ho;Kook, Hyung-Seok
    • Proceedings of the KSME Conference
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    • 2001.06b
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    • pp.540-545
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    • 2001
  • In this paper dynamic responses of an engine, which is supported by hydraulic mount, to throttle tip-in/tip out are analyzed. Because the hydraulic mounts have non-linearity which the characteristics of stiffness and damping vary with frequencies, it is difficult to analyze the dynamic behavior of an engine using general integral algorithms. Convolution integrals and relationships between unit impulse response functions and frequency response functions are therefore used to simulate the transient behavior of an engine indirectly. In time domain, impulse response functions are calculated by two-side discrete inverse Fourier transform of frequency response function achieved by Laplace transform of equations of motion. Considering the fact that the shapes of behavior of an engine simulated by the proposed method are in good agreement with test results, it is confirmed that the proposed method is very effective for the analysis of transient response to throttle tip-in/out of an engine with hydraulic mounts.

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A SPECTRAL ANALYSIS METHOD FOR SPECTRAL ELEMENT MODELS (스펙트럴 요소 모델을 이용한 스펙트럴 해석법)

  • Cho J.;Yoon D.;Hwang I.;Lee U.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2005.10a
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    • pp.409-414
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    • 2005
  • In the literatures, the FFT-based SAM has been well applied to the computation of the steady-state responses of discrete dynamic systems. In this paper, a fast fourier transforms (FFT)-based spectral analysis method (SAM) is proposed fur the dynamic analysis of spectral element models subjected to the non-zero initial conditions. However, the FFT-based SAM has not yet been developed for the continuous systems represented by the spectral element model.

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The Study on Scattered Far-Field Analysis of Ultrasonic SH-Wave Using Boundary Element Method (경계요소법을 이용한 SH형 초음파 원거리 산란장 해석에 관한 연구)

  • Lee, Joon-Hyun;Lee, Seo-Il
    • Journal of the Korean Society for Nondestructive Testing
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    • v.19 no.5
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    • pp.333-339
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    • 1999
  • It is well recognized that ultrasonic technique is one of the most common and reliable nondestructive evaluation techniques for quantitative estimation of defects in structures. For the quantitative and accurate estimation of internal defects. the characteristics of scattered ultrasonic wavefields must be understood. In this study. the scattered near-field and far-field due to a circular cavity embedded in infinite media subjected to incident SH-waves were calculated by the boundary element method. The frequency response of the scattered ultrasonic far-field was transformed into the time-domain signal by obtaining its inverse Fourier transform. It was found that the amplitude of time-domain signal decreases and its time delay increases as the distance between the detecting point of ultrasonic scattered field and the center of internal cavity increases.

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Transient Response of a Crack in a Functionally Graded Piezoelectric Strip between Two Dissimilar Piezoelectric Strip (두 개의 서로 다른 압전재료층 사이의 기능경사압전재료 접합층 내부 균열에 대한 과도응답 해석)

  • Shin, Jeong Woo;Lee, Young-Shin;Kim, Sung Joon
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2013.10a
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    • pp.206-213
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    • 2013
  • Transient response of a crack in a functionally graded piezoelectric material (FGPM) interface layer between two dissimilar homogeneous piezoelectric layers under anti-plane shear is analyzed using integral transform approaches. The properties of the FGPM layer vary continuously along the thickness. Laplace and Fourier transforms are used to reduce the problem to two sets of dual integral equations, which are then expressed to the Fredholm integral equations of the second kind. Numerical values on the dynamic energy release rate (DERR) are presented for the FGPM to show the effects on electric loading, gradient of the material properties, and thickness of the layers. Computed results yield following conclusions: (a) the DERR increases with the increase of the gradient of the material properties of the FGPM layer; (b) certain direction and magnitude of the electric impact loading impedes crack extension; (c) increase of the thickness of the FGPM layer and the homogeneous piezoelectric layer which has larger material properties than those of the crack plane are beneficial to increase of the resistance of transient fracture of the FGPM layer.

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Vibration and Impact Transmission for each Variable of Woodpile Metamaterial (우드파일 메타물질의 변수 별 진동 및 충격에 끼치는 영향)

  • Ha, Young sun;Hwang, Hui Y.;Cheon, Seong S.
    • Composites Research
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    • v.34 no.3
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    • pp.155-160
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    • 2021
  • Metamaterials are complexes of elements that can create properties not found in naturally occurring materials, such as changing the direction of forces, creating negative stiffness, or altering vibration and impact properties. In the case of wood pile metamaterials that are easy to manufacture and have excellent performance in reducing vibration and shock in the vertical direction, basic research on variables affecting shock transmission is needed to reduce shock. Although research on impact reduction according to geometrical factors is being conducted recently, studies on the effect of material variables on impact reduction are insufficient. In this paper, finite element analysis was carried out by variablizing the geometrical properties (lamination angle, diameter, length) and material properties (modulus of elasticity, specific gravity, Poisson's ratio) of wood pile cylinders. Through finite element analysis, the shape of the wooden pile cylinder delivering impact was confirmed, and the effect of each variable on the reduction of impact force and energy was considered through main effect diagram analysis, and frequency band analysis was performed through fast Fourier transform. proceeded In order to reduce the impact force and vibration, it was found that the variables affecting the contact area of t he cylinder have a significant effect.

A New Microwave Imaging Technique Using a Coherent Tomographic Scheme in Space Domain (공간영역에서 코히어런트 단층촬영 기법을 이용한 새로운 초고주파 영상방법)

  • Seo, Kyoung-Whoan;Kim, Se-Yun;Ra, Jung-Woong
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.27 no.2
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    • pp.16-30
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    • 1990
  • The microwave imaging technique which is mostly analyzed in the spectral domain has been exploited the image reconstruction of object using the 2-dimensional inverse Fourier transform so far. In this paper, a new method of microwave imaging corresponding to a coherent tomographic scheme in the space domain is presented for the conducting objects. Also, it is shown that image reconstruction for lines targets and conducting circular cylinder is per-formed by computer simulation using the filtered-backprojection which is the reconstruction algorithm widely used in X-ray CT. The proposed method analyzed in the space domain can reconstruct the image without any problems such as interpolation and image artifact which results from the reconstruction in the spectral domain for the symmetric conducting objects located in the origin. The image reconstructed by the filtered-backprojection in the space domain has given the superior quality compared with that produced by 2-dimensional IFFT using the interpolation scheme in the spectral domain. Finally, the image of line targets using the moment-method in the space domain which does not require the wide-band signal as the spectral domain has shown a possibility of super-resolution in the microwave imaging.

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Numerical Analysis on the Signal Characteristics for Scattered Far-field of Ultrasonic SH-Wave by the Internal Cavity (재료내 기공결함에 의한 SH형 초음파 원거리 산란장의 신호특성에 대한 수치해석)

  • Lee, Jun-Hyeon;Lee, Seo-Il;Park, Yun-Won
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.1 s.173
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    • pp.163-172
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    • 2000
  • In this study, the scattered far-field due to a cavity embedded in infinite media subjected to the incident SH-wave was calculated by the boundary element method. The effects of cavity shape and distance between internal cavity and internal point in infinite media were considered. The scattered far-field of the frequency domain was transformed into the signal of the time domain by using the Inverse Fast Fourier Transform(IFFT). It was found that the amplitude of scattered signal in time domain decreased with the increase of the distance between the detecting points of ultrasonic scattered field and the center of internal cavity in media. In addition, the time delay was clearly found in time domain waveform as the distance between the detecting points of ultrasonic scattered field and the center of internal cavity was gradually increased.