• 제목/요약/키워드: Parabolic

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The Radiation Spot Size due to Wiggler Errors in a Free-Electron Laser Oscillator

  • Nam, Soon-Kwon;Park, Y.S.
    • Journal of the Korean Physical Society
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    • 제73권10호
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    • pp.1495-1501
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    • 2018
  • We have developed an extended three-dimensional free-electron laser (3D FEL) code with source-dependent expansion to calculate the intensity of the radiation field and the spot size in a free-electron laser oscillator. The effect of the wiggler field errors was evaluated for the case of a planar wiggler generated by a magnet stack with parabolic shaped pole faces by using the extended three-dimensional equations in a free-electron laser oscillator based on the proposed FEL facility which is to be operated in the far-infrared and the infrared regions. The radiation spot size due to the wiggler field errors also have been analyzed for wiggler errors of ${\Delta}B/B=0.0$, 0.03, 0.06 and 0.09% at z = 1 m and z = 2 m. The effect of the diffraction of radiation field due to the wiggler field errors of ${\Delta}B/B=0.0$ and ${\Delta}B/B=0.09%$ at 200 passes was evaluated by using the extended 3D code that we developed. The variation of the curvature of the phase front and the effect of the radiation field intensity due to the wiggler field errors were also evaluated for B = 0.5 T and B = 0.7 T with the wiggler error of ${\Delta}B/B=0.09%$ at 200 passes and the results were compared to those of without errors. The intensity of the radiation, behavior of the radiation spot size and the variation of the curvature of the phase were highly sensitive to the wiggler error of ${\Delta}B/B$ > 0.09%, but were less sensitive to the wiggler errors for ${\Delta}B/B$ < 0.09% in a free-electron laser (FEL) oscillator based on the proposed FEL facility.

반도체 재료의 격자열전도도 분석 (Characterization of Lattice Thermal Conductivity in Semiconducting Materials)

  • 임종찬;양희선;김현식
    • 마이크로전자및패키징학회지
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    • 제27권4호
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    • pp.61-65
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    • 2020
  • 열전소재의 격자열전도도 저감은 열전성능 증대를 위해 가장 빈번하게 사용되는 방법이다. 하지만 전체 열전도도에서 다른 열전도도 기여분을 제외하는 방법으로만 격자열전도도를 구할 수 있기 때문에 격자열전도도를 정확하게 분석하는 것을 간단한 작업이 아니다. 본 연구에서는 먼저 전자/홀에 의한 열전도도 기여분 (모든 소재 적용)과 쌍극 전도에 의한 기여분 (작은 밴드 갭 소재 적용)을 정확하게 계산해야만 격자열전도도를 정확하게 분석할 수 있음을 설명한다. 전자/홀에 의한 기여분을 계산하기 위해 필수적인 로렌츠 숫자 계산법 (싱글 파라볼릭 모델링 및 간단한 식 이용)과 쌍극 전도에 의한 기여분 계산법 (투 밴드 모델링) 또한 소개한다. 격자열전도도의 정확한 분석은 격자열전도도 저감을 위한 여러 결함 제어 전략의 효과를 객관적으로 평가할 수 있는 강력한 분석 도구로 사용될 수 있다.

Investigation on the dynamic response of porous FGM beams resting on variable foundation using a new higher order shear deformation theory

  • Atmane, Redhwane Ait;Mahmoudi, Noureddine;Bennai, Riadh;Atmane, Hassen Ait;Tounsi, Abdelouahed
    • Steel and Composite Structures
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    • 제39권1호
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    • pp.95-107
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    • 2021
  • In this work, the dynamic response of functionally graded beams on variable elastic foundations is studied using a novel higher-order shear deformation theory (HSDT). Unlike the conventional HSDT, the present one has a new displacement field which introduces undetermined integral variables. The FG beams were assumed to be supported on Winkler-Pasternak type foundations in which the Winkler modulus is supposed to be variable in the length of the beam. The variable rigidity of the elastic foundation is assumed to be linear, parabolic and sinusoidal along the length of the beam. The material properties of the FG porous beam vary according to a power law distribution in terms of the volume fraction of the constituents. The equations of motion are determined using the virtual working principle. For the analytical solution, Navier method is used to solve the governing equations for simply supported porous FG beams. Numerical results of the present theory for the free vibration of FG beams resting on elastic foundations are presented and compared to existing solutions in the literature. A parametric study will be detailed to investigate the effects of several parameters such as gradient index, thickness ratio, porosity factor and foundation parameters on the frequency response of porous FG beams.

A computational investigation on flexural response of laminated composite plates using a simple quasi-3D HSDT

  • Draiche, Kada;Selim, Mahmoud M.;Bousahla, Abdelmoumen Anis;Tounsi, Abdelouahed;Bourada, Fouad;Tounsi, Abdeldjebbar;Mahmoud, S.R.
    • Steel and Composite Structures
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    • 제41권5호
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    • pp.697-711
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    • 2021
  • In this work, a simple quasi 3-D parabolic shear deformation theory is developed to examine the bending response of antisymmetric cross-ply laminated composite plates under different types of mechanical loading. The main feature of this theory is that, in addition to including the transverse shear deformation and thickness stretching effects, it has only five-unknown variables in the displacement field modeling like Mindlin's theory (FSDT), yet satisfies the zero shear stress conditions on the top and bottom surfaces of the plate without requiring a shear correction factor. The static version of principle of virtual work was employed to derive the governing equations, while the bending problem for simply supported antisymmetric cross-ply laminated plates was solved by a Navier-type closed-form solution procedure. The adequacy of the proposed model is handled by considering the impact of side-to-thickness ratio on bending response of plate through several illustrative examples. Comparison of the obtained numerical results with the other shear deformation theories leads to the conclusion that the present model is more accurate and efficient in predicting the displacements and stresses of laminated composite plates.

이중막 구조를 적용한 우주용 전개형 메쉬 안테나의 열적 특성 분석 (Thermal Characteristics Investigation of Spaceborne Mesh Antenna with Dual-parabolic Surfaces)

  • 김혜인;채봉건;오현웅
    • 항공우주시스템공학회지
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    • 제16권5호
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    • pp.86-93
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    • 2022
  • 우주용 전개형 메쉬 안테나는 궤도 운용 시 RF 성능을 보장하기 위해 극한의 궤도 열 환경 하에서 극심한 온도변화에 의한 열변형을 최소화할 수 있는 열설계가 필수적이다. 일반적으로 궤도 상에서 전력 생성을 위해 전개형 태양전지판이 주로 적용되고 있으나, 태양전지판으로 인한 그림자로 인해 안테나 표면에 극심한 온도구배가 발생할 수 있다. 본 논문에서는 전개형 메쉬 안테나 후면부에 멤브레인 시트를 적용하고, 시트 후면부에 유연 태양전지셀을 부착하여 전개형 태양전지판으로 인한 온도구배를 최소화할 수 있는 이중막 구조의 설계 방식을 제안하였다. 제안된 안테나 열설계의 유효성을 검증하기 위해 궤도 열해석을 통해 안테나 표면에서 발생하는 온도구배 분석을 수행하였다.

Bending of axially functionally graded carbon nanotubes reinforced composite nanobeams

  • Ahmed Drai;Ahmed Amine Daikh;Mohamed Oujedi Belarbi;Mohammed Sid Ahmed Houari;Benoumer Aour;Amin Hamdi;Mohamed A. Eltaher
    • Advances in nano research
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    • 제14권3호
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    • pp.211-224
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    • 2023
  • This work presents a modified analytical model for the bending behavior of axially functionally graded (AFG) carbon nanotubes reinforced composite (CNTRC) nanobeams. New higher order shear deformation beam theory is exploited to satisfy parabolic variation of shear through thickness direction and zero shears at the bottom and top surfaces.A Modified continuum nonlocal strain gradient theoryis employed to include the microstructure and the geometrical nano-size length scales. The extended rule of the mixture and the molecular dynamics simulations are exploited to evaluate the equivalent mechanical properties of FG-CNTRC beams. Carbon nanotubes reinforcements are distributed axially through the beam length direction with a new power graded function with two parameters. The equilibrium equations are derived with associated nonclassical boundary conditions, and Navier's procedure are used to solve the obtained differential equation and get the response of nanobeam under uniform, linear, or sinusoidal mechanical loadings. Numerical results are carried out to investigate the impact of inhomogeneity parameters, geometrical parameters, loadings type, nonlocal and length scale parameters on deflections and stresses of the AFG CNTRC nanobeams. The proposed model can be used in the design and analysis of MEMS and NEMS systems fabricated from carbon nanotubes reinforced composite nanobeam.

Non-Gaussian feature of fluctuating wind pressures on rectangular high-rise buildings with different side ratios

  • Jia-hui Yuan;Shui-fu Chen;Yi Liu
    • Wind and Structures
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    • 제37권3호
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    • pp.211-227
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    • 2023
  • To investigate the non-Gaussian feature of fluctuating wind pressures on rectangular high-rise buildings, wind tunnel tests were conducted on scale models with side ratios ranging from 1/9~9 in an open exposure for various wind directions. The high-order statistical moments, time histories, probability density distributions, and peak factors of pressure fluctuations are analyzed. The mixed normal-Weibull distribution, Gumbel-Weibull distribution, and lognormal-Weibull distribution are adopted to fit the probability density distribution of different non-Gaussian wind pressures. Zones of Gaussian and non-Gaussian are classified for rectangular buildings with various side ratios. The results indicate that on the side wall, the non-Gaussian wind pressures are related to the distance from the leading edge. Apart from the non-Gaussianity in the separated flow regions noted by some literature, wind pressures behind the area where reattachment happens present non-Gaussian nature as well. There is a new probability density distribution type of non-Gaussian wind pressure which has both long positive and negative tail found behind the reattachment regions. The correlation coefficient of wind pressures is proved to reflect the non-Gaussianity and a new method to estimate the mean reattachment length of rectangular high-rise building side wall is proposed by evaluating the correlation coefficient. For rectangular high-rise buildings, the mean reattachment length calculated by the correlation coefficient method along the height changes in a parabolic shape. Distributions of Gaussian and non-Gaussian wind pressures vary with side ratios. It is inappropriate to estimate the extreme loads of wind pressures using a fixed peak factor. The trend of the peak factor with side ratios on different walls is given.

Free vibration investigation of functionally graded plates with temperature-dependent properties resting on a viscoelastic foundation

  • Abdeldjebbar Tounsi;Adda Hadj Mostefa;Amina Attia;Abdelmoumen Anis Bousahla;Fouad Bourada;Abdelouahed Tounsi;Mohammed A. Al-Osta
    • Structural Engineering and Mechanics
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    • 제86권1호
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    • pp.1-16
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    • 2023
  • The free vibration of temperature-dependent functionally graded plates (FGPs) resting on a viscoelastic foundation is investigated in this paper using a newly developed simple first-order shear deformation theory (FSDT). Unlike other first order shear deformation (FSDT) theories, the proposed model contains only four variables' unknowns in which the transverse shear stress and strain follow a parabolic distribution along the plates' thickness, and they vanish at the top and bottom surfaces of the plate by considering a new shape function. For this reason, the present theory requires no shear correction factor. Linear steady-state thermal loads and power-law material properties are supposed to be graded across the plate's thickness. Uniform, linear, non-linear, and sinusoidal thermal rises are applied at the two surfaces for simply supported FGP. Hamilton's principle and Navier's approach are utilized to develop motion equations and analytical solutions. The developed theory shows progress in predicting the frequencies of temperature-dependent FGP. Numerical research is conducted to explain the effect of the power law index, temperature fields, and damping coefficient on the dynamic behavior of temperature-dependent FGPs. It can be concluded that the equation and transformation of the proposed model are as simple as the FSDT.

동해 연안에서 관측된 용승현상과 수동 음탐환경의 변화 (Coastal upwelling observed off the East coast of Korea and variability of passive sound detection environment)

  • 변상신;조창봉
    • 한국음향학회지
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    • 제41권6호
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    • pp.601-609
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    • 2022
  • 2007년 8월 동해 연안에서 연안용승 현상이 발생 되었고, 이에 따른 수직적인 수온과 염분 자료가 실시간 해양관측부이를 통해 획득되었다. 시계열 관측자료를 기반으로 연안용승 발생 전·중·후의 수직적인 음속구조를 산출하였고, 연안용승의 수평적인 규모와 실제 해저지형 등을 고려한 음향모델링을 통해 연안용승이 수중의 음파 전달과 탐지환경에 어떠한 영향을 미치는지 분석하였다. 포물선 방정식 모델을 이용한 저주파(500 Hz) 음파 전달손실과 심도별 표적 탐지거리를 비교·분석한 결과, 동해 연안에서 용승이 발생하면 그렇지 않은 일반적인 음탐환경에 비해 최대 약 10 dB의 탐지이득을 기대할 수 있는 것으로 분석되었다. 또한, 이번 연구를 통해 용승 전·후 약 2 ~ 3일의 짧은 기간 내에서도 음파전달 특성이 크게 달라질 수 있음을 확인하였다.

Confocal off-axis optical system with freeform mirror, application to Photon Simulator (PhoSim)

  • Kim, Dohoon;Lee, Sunwoo;Han, Jimin;Park, Woojin;Pak, Soojong;Yoo, Jaewon;Ko, Jongwan;Lee, Dae-Hee;Chang, Seunghyuk;Kim, Geon-Hee;Valls-Gabaud, David;Kim, Daewook
    • 천문학회보
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    • 제46권2호
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    • pp.75.2-76
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    • 2021
  • MESSIER is a science satellite project to observe the Low Surface Brightness (LSB) sky at UV and optical wavelengths. The wide-field, optical system of MESSIER is optimized minimizing optical aberrations through the use of a Linear Astigmatism Free - Three Mirror System (LAF-TMS) combined with freeform mirrors. One of the key factors in observations of the LSB is the shape and spatial variability of the Point Spread Function (PSF) produced by scatterings and diffraction effects within the optical system and beyond (baffle). To assess the various factors affecting the PSF in this design, we use PhoSim, the Photon simulator, which is a fast photon Monte Carlo code designed to include all these effects, and also atmospheric effects (for ground-based telescopes) and phenomena occurring inside of the sensor. PhoSim provides very realistic simulations results and is suitable for simulations of very weak signals. Before the application to the MESSIER optics system, PhoSim had not been validated for confocal off-axis reflective optics (LAF-TMS). As a verification study for the LAF-TMS design, we apply Phosim sequentially. First, we use a single parabolic mirror system and compare the PSF results of the central field with the results from Zemax, CODE V, and the theoretical Airy pattern. We then test a confocal off-axis Cassegrain system and check PhoSim through cross-validation with CODE V. At the same time, we describe the shapes of the freeform mirrors with XY and Zernike polynomials. Finally, we will analyze the LAF-TMS design for the MESSIER optical system.

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