• 제목/요약/키워드: Fourier series

검색결과 624건 처리시간 0.031초

고분자 압전센서 신호를 이용한 스마트 복합적층판의 충격 손상 규명 (Identification of Impact Damage in Smart Composite Laminates Using PVDF Sensor Signals)

  • 이홍영;김인걸;박찬익
    • 한국항공우주학회지
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    • 제32권7호
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    • pp.51-59
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    • 2004
  • 저속충격에 의한 복합재의 파손 모드를 규명하기 위하여 PVDF 센서를 이용한 신호취득 방법과 측정된 PVDF 센서 신호를 시간-주파수 분석법 (time-frequency analysis)인 국소 퓨 리에 변환 및 웨이블렛 변환을 적용하여 분석할 수 있는 실험적 전차에 대하여 고찰하였다. 고분자 암전센서를 이용하여 저속충격시 발생할 수 있는 여러 충격손상 형태 모재균열, 층간분리, 섬유파단에 의한 응력파 측정 가능성을 고찰하기 위하여 일련의 저속충격 시험을 수행하였다. 충격 시험 후, 저속 충격을 받은 적층판에 대하여 C-scan 과 단면 검사를 통하여 센서 신호, 손상 모드 및 크기에 대한 상관관계를 고찰하였다. 센서신호의 취득과 신호분석을 통하여 저속충격의 발생/진행과정을 알 수 있는 많은 중요한 정보가 PVDF 센서신호에도 내재되어 있음을 알 수 있으며 PVDF 센서 신호를 주의 깊게 분석함으로써 저속 충격에 의한 복합재료의 손상 모드 규명이 가능하며 저속충격 위협에 대한 복합재 구조물의 건전성 모니터링에 활용할 수 있는 가능성을 제시하였다.

FLUID-STRUCTURE INTERACTION IN A U-TUBE WITH SURFACE ROUGHNESS AND PRESSURE DROP

  • Gim, Gyun-Ho;Chang, Se-Myoung;Lee, Sinyoung;Jang, Gangwon
    • Nuclear Engineering and Technology
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    • 제46권5호
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    • pp.633-640
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    • 2014
  • In this research, the surface roughness affecting the pressure drop in a pipe used as the steam generator of a PWR was studied. Based on the CFD (Computational Fluid Dynamics) technique using a commercial code named ANSYS-FLUENT, a straight pipe was modeled to obtain the Darcy frictional coefficient, changed with a range of various surface roughness ratios as well as Reynolds numbers. The result is validated by the comparison with a Moody chart to set the appropriate size of grids at the wall for the correct consideration of surface roughness. The pressure drop in a full-scale U-shaped pipe is measured with the same code, correlated with the surface roughness ratio. In the next stage, we studied a reduced scale model of a U-shaped heat pipe with experiment and analysis of the investigation into fluid-structure interaction (FSI). The material of the pipe was cut from the real heat pipe of a material named Inconel 690 alloy, now used in steam generators. The accelerations at the fixed stations on the outer surface of the pipe model are measured in the series of time history, and Fourier transformed to the frequency domain. The natural frequency of three leading modes were traced from the FFT data, and compared with the result of a numerical analysis for unsteady, incompressible flow. The corresponding mode shapes and maximum displacement are obtained numerically from the FSI simulation with the coupling of the commercial codes, ANSYS-FLUENT and TRANSIENT_STRUCTURAL. The primary frequencies for the model system consist of three parts: structural vibration, BPF(blade pass frequency) of pump, and fluid-structure interaction.

Effects of diffraction in regular head waves on added resistance and wake using CFD

  • Lee, Cheol-Min;Park, Sung-Chul;Yu, Jin-Won;Choi, Jung-Eun;Lee, Inwon
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제11권2호
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    • pp.736-749
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    • 2019
  • This paper employs computational tools to investigate the diffraction effects in regular head waves on the added resistance and wake on the propeller plane. The objective ships are a 66,000 DWT bulk carrier and a 3,600 TEU container ship. Fixed and free to heave and pitch conditions at design speed have been taken into account. Two-phase unsteady Reynolds averaged Navier-Stokes equations have been solved using the finite volume method; and a realizable k-ε model has been applied for the turbulent closure. The free surface is obtained by solving a VOF equation. The computations are carried out at the same scale of the model tests. Grid and numerical wave damping zones are applied to remove unwanted wave reflection at the boundaries. The computational results are analyzed using the Fourier series. The added resistances in waves at the free condition are higher than those at the fixed condition, which are nearly constant for all wavelengths. The wake velocity in waves is higher than that in calm water, and is accelerated where the wave crest locates on the propeller plane. When the vertical motion at the stern goes upward, the wake velocity also accelerated.

수산화마그네슘의 합성과 솔비톨계 계면활성제를 이용한 표면개질 (Synthesis of Magnesium Hydroxide and Surface Modification by Sorbitol Surfactants)

  • 강국현;현미호;유건성;이동규
    • 한국응용과학기술학회지
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    • 제31권1호
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    • pp.92-100
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    • 2014
  • 비이온계면활성제 가운데 솔비톨계 계면활성제인 Span을 이용해 수열합성법으로 수산화마그네슘을 합성하였다. 수산화마그네슘 합성의 전구체는 염화마그네슘과 수산화나트륨을 사용하였다. 비이온 계면활성제는 안정제와 분산제 그리고 표면 개질제로 적용하였다. 비이온 계면활성제를 첨가하였을 경우 수산화마그네슘 입자는 좀 더 작고 균일한 크기와 좋은 분산성을 나타내었으며, 소수성 성질을 나타내었다. 합성된 입자의 특성은 PSA, SEM, EDS, XRD 그리고 FT-IR을 통해 확인하였다. 기기 분석을 통해 개질 전과 후의 수산화마그네슘의 소수성, 분산성 특성을 비교하였다. 또한 실험조건에 따라 수산화마그네슘 입자의 표면 개질 특성 변화를 확인하였다.

분포하중(分布荷重)을 받는 구형판(矩形板)의 탄성해석(彈性解析) (Analysis of Rectangular Plates under Distributed Loads of Various Intensity with Interior Supports at Arbitrary Positions)

  • 장석윤
    • 대한조선학회지
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    • 제13권1호
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    • pp.17-23
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    • 1976
  • Some methods of analysis of rectangular plates under distributed load of various intensity with interior supports are presented herein. Analysis of many structures such as bottom, side shell, and deck plate of ship hull and flat slab, with or without internal supports, Floor systems of bridges, included crthotropic bridges is a problem of plate with elastic supports or continuous edges. When the four edges of rectangular plate is simply supported, the double Fourier series solution developed by Navier can represent an exact result of this problem. If two opposite edges are simply supported, Levy's method is available to give an "exact" solution. When the loading condition and supporting condition of a plate does not fall into these cases, no simple analytic method seems to be feasible. Analysis of a simply supported rectangular plate under irregularly distributed loads of various intensity with internal supports is carried out by applying Navier solution well as the "Principle of Superposition." Finite difference technique is used to solve plates under irregularly distributed loads of various intensity with internal supports and with various boundary conditions. When finite difference technique is applied to the Lagrange's plate bending equation, any of fourth order derivative term in this equation produces at least five pivotal points leading to some troubles when the resulting linear algebraic equations are to be solved. This problem was solved by reducing the order of the derivatives to two: the fourth order partial differential equation with one dependent variable, namely deflection, is changed to an equivalent pair of second order partial differential equations with two dependent variables. Finite difference technique is then applied to transform these equations to a set of simultaneous linear algebraic equations. Principle of Superposition is then applied to handle the problems caused by concentrated loads and interior supports. This method can be used for the cases of plates under irregularly distributed loads of various intensity with arbitrary conditions such as elastic supports, or continuous edges with or without interior supports, and this method can also be solve the influence values of deflection, moment and etc. at arbitrary position of plates under the live load.

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2차원 다층 반무한해를 이용한 지하구조계의 동적 경계요소 해석 (Dynamic Boundary Element Analysis of Underground Structures Using Multi-Layered Half-Plane Fundamental Solutions)

  • 김문겸;이종우;조성용
    • 한국지진공학회논문집
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    • 제1권4호
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    • pp.59-68
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    • 1997
  • 터널 등과 같은 지하구조계를 유한요소법 등의 수치적 방법으로 해석할 경우 인위적인 경제에서 파의 반사가 발생하게 되어 실제 결과의 큰 차이를 발생시킨다. 따라서 동역학적 하중을 받는 지하구조계는 실질적인 반무한 구조계로 고려되어야 한다. 특히 지하구조계는 실제 다층구조로 구성되어 있으므로 이러한 다층문제를 고려할 수 있어야 한다. 이를 위해 본 연구에서는 외부영역 경제적문제로 해석하기 위한 동적 수치기본해를 개발하였다. 주파수영역의 정적인 경우에 대한 엄밀 적분해와 Bessel 함수의 점근식을 이용한 적분을 통해 축대치문제를 2차원 문제로 보다 쉽게 적용할 수 있도록 하였다. 이와 같이 개발된 동적 수치기본해를 경제 적분 방정식에 적용하여 해석한 결과와 기존 해석결과와의 비교를 통해 그 효율성을 입증하였다. 또한 다층지반내 지하구조물에 대해 지반매체의 각 물성 및 공동의 깊이에 따른 민감도분석을 수해하여 지하구조계의 동적 거동특성 파악의 적용성을 다루었다.

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Bending behaviour of FGM plates via a simple quasi-3D and 2D shear deformation theories

  • Youcef, Ali;Bourada, Mohamed;Draiche, Kada;Boucham, Belhadj;Bourada, Fouad;Addou, Farouk Yahia
    • Coupled systems mechanics
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    • 제9권3호
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    • pp.237-264
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    • 2020
  • This article investigates the static behaviour of functionally graded (FG) plates sometimes declared as advanced composite plates by using a simple and accurate quasi-3D and 2D hyperbolic higher-order shear deformation theories. The properties of functionally graded materials (FGMs) are assumed to vary continuously through the thickness direction according to exponential law distribution (E-FGM). The kinematics of the present theories is modeled with an undetermined integral component and satisfies the free transverse shear stress conditions on the top and bottom surfaces of the plate; therefore, it does not require the shear correction factor. The fundamental governing differential equations and boundary conditions of exponentially graded plates are derived by employing the static version of principle of virtual work. Analytical solutions for bending of EG plates subjected to sinusoidal distributed load are obtained for simply supported boundary conditions using Navier'is solution procedure developed in the double Fourier trigonometric series. The results for the displacements and stresses of geometrically different EG plates are presented and compared with 3D exact solution and with other quasi-3D and 2D higher-order shear deformation theories to verify the accuracy of the present theory.

테이퍼 전송선 이론을 이용한 마이크로파 여파기 설계 (Microwave Filter Design using Tapered Transmission Line Theory)

  • 권진욱;최형석;장호성
    • 대한전자공학회논문지TC
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    • 제37권3호
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    • pp.28-34
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    • 2000
  • 본 논문에서는 선형화된 리카티(Riccati) 방정식에 후리에 변환을 적용하여 주파수 특성함수와 불균일 테이퍼 전송선상의 새로운 임피던스 분포를 구한다. 리카티 방정식을 선형화 함으로써 발생할 수 있는 오차를 보상하기 위해 임의의 Taylor 급수를 임피던스 항에 추가한다. 추가된 항은 불균일 전송선 양단의 임피던스 불연속을 제거하는 역할을 한다. 설계과정을 통해서 여파기의 과녁 주파수 특성에 접근해 가는 것을 축차법을 통해서 보이며, 위상함수의 역할을 예제를 통해서 보인다. 본 논문에서 제시한 설계법은 불균일 테이퍼 전송선의 설계에 뛰어난 융통성을 제공하므로, 임의의 주파수 대역특성을 만족시키는 여파기 및 임피던스 정합회로 설계에 응용할 수 있다.

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Polystyrene-b-poly(oligo(ethylene oxide) Monomethyl Ether Methacrylate)-b-polystyrene Triblock Copolymers as Potential Carriers for Hydrophobic Drugs

  • You, Qianqian;Chang, Haibo;Guo, Qipeng;Zhang, Yudong;Zhang, Puyu
    • Bulletin of the Korean Chemical Society
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    • 제34권2호
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    • pp.558-564
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    • 2013
  • A simple and effective method is introduced to synthesize a series of polystyrene-b-poly(oligo(ethylene oxide) monomethyl ether methacrylate)-b-polystyrene (PSt-b-POEOMA-b-PSt) triblock copolymers. The structures of PSt-b-POEOMA-b-PSt copolymers were characterized by Fourier-transform infrared spectroscopy (FTIR) and nuclear magnetic resonance ($^1H$ NMR) spectroscopy. The molecular weight and molecular weight distribution of the copolymer were measured by gel permeation chromatography (GPC). Furthermore, the self-assembling and drug-loaded behaviours of three different ratios of PSt-b-POEOMA-b-PSt were studied. These copolymers could readily self-assemble into micelles in aqueous solution. The vitamin E-loaded copolymer micelles were produced by the dialysis method. The micelle size and core-shell structure of the block copolymer micelles and the drug-loaded micelles were confirmed by dynamic light scattering (DLS) and transmission electron microscopy (TEM). The thermal properties of the copolymer micelles before and after drug-loaded were investigated by different scanning calorimetry (DSC). The results show that the micelle size is slightly increased with increasing the content of hydrophobic segments and the micelles are still core-shell spherical structures after drug-loaded. Moreover, the glass transition temperature (Tg) of polystyrene is reduced after the drug loaded. The drug loading content (DLC) of the copolymer micelles is 70%-80% by ultraviolet (UV) photolithography analysis. These properties indicate the micelles self-assembled from PSt-b-POEOMA-b-PSt copolymers would have potential as carriers for the encapsulation of hydrophobic drugs.

DYNAMICAL CHARACTERISTICS OF SUNSPOT CHROMOSPHERES II. ANALYSIS OF CA II H, K AND ${\lambda}8498$ LINES OF A SUNSPOT (SPO 5007) FOR OSCILLATORY MOTIONS

  • Yoon, Tae-Sam;Yun, Hong-Sik;Kim, Jeong-Hoon
    • 천문학회지
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    • 제28권2호
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    • pp.245-253
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    • 1995
  • We have analyzed the time series of Ca II H,K and ${\lambda}8498$ line profiles taken for a sunspot (SPO 5007) with the Echelle spectrograph attached to Vacuum Tower Telescope at Sacramento Peak Solar Observatory. Each set of spectra was taken simultaneously for 20 minutes at a time interval of 30 seconds. A total of 40 photographic films for each line was scanned by a PDS at Korea Astronomy Observatory. The central peak intensity of Ca II H ($I_{max}$), the intensity measured at ${\Delta}{\lambda}=-0.1{\AA}$ from the line center of ${\lambda}8498(I_{{\lambda}8489})$, the radial velocity ($V_r$) and the Doppler width (${\Delta}{\lambda}_D$) estimated from Ca II H have been measured to study the dynamical behaviors of the sunspot chromosphere. Fourier analysis has been carried out for these measured quantities. Our main results are as follows: (1) We have confirmed the 3-minute oscillation being dominant throughout the umbra. The period of oscillations jumps from 180 sec in the umbra to 500 to 1000 sec in the penumbra. (2) The nonlinear character of the umbral oscillation is noted from the observed sawtooth shaped radial velocity fluctuations with amplitudes reaching up to $5{\sim}6\;km/sec$. (3) The spatial distribution of the maximum powers shows that the power of oscillations is stronger in the umbra than in the penumbra. (4) The spatial distributions of the time averaged < $I_{max}$ > and < $V_r$ > across the spot are found to be nearly axially symmetric, implying that the physical quantities derived from the line profiles of Ca II H and ${\lambda}8498$ are inherently associated with the geometry of the magnetic field distribution of the spot. (5) The central peaks of the CaII H emission core lead the upward motions of the umbral atmosphere by $90^{\circ}$, while no phase delay is found in intensities between $I_{max}$ and $I_{{\lambda}8498}$, suggesting that the umbral oscillation is of standing waves.

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