• 제목/요약/키워드: $\delta$- integration

검색결과 52건 처리시간 0.028초

Point interpolation method based on local residual formulation using radial basis functions

  • Liu, G.R.;Yan, L.;Wang, J.G.;Gu, Y.T.
    • Structural Engineering and Mechanics
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    • 제14권6호
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    • pp.713-732
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    • 2002
  • A local radial point interpolation method (LRPIM) based on local residual formulation is presented and applied to solid mechanics in this paper. In LRPIM, the trial function is constructed by the radial point interpolation method (PIM) and establishes discrete equations through a local residual formulation, which can be carried out nodes by nodes. Therefore, element connectivity for trial function and background mesh for integration is not necessary. Radial PIM is used for interpolation so that singularity in polynomial PIM may be avoided. Essential boundary conditions can be imposed by a straightforward and effective manner due to its Delta properties. Moreover, the approximation quality of the radial PIM is evaluated by the surface fitting of given functions. Numerical performance for this LRPIM method is further studied through several numerical examples of solid mechanics.

선형제차조절법을 이용한 정지궤도 위성의 위치보존 궤도조정 (STATION-KEEPING MANEUVERS FOR A GEOSTATIONARY SATELLITE USING LINEAR QUADRATIC REGULATOR)

  • 이선익;최규홍;이상욱
    • Journal of Astronomy and Space Sciences
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    • 제14권1호
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    • pp.142-149
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    • 1997
  • 잘 알려진 최적제어 이론의 선형제차조절법을 정지궤도 위성의 위치보존 궤도조정 문제에 적용하였다. 정지궤도 위성의 운동에 가장 큰 영향을 미치는 섭동향을 선택하여 동서방향과 남북방향 궤도조정의 경우 각각 14일간 지구비대칭 중력장의 영향, 28일간 태양과 달의 영향을 예측한 결과로 궤도조정할 경계조건을 적절하게 설정하였다. 비선형방정식을 선형화하여 리카티 방정식(Riccati Equation)을 두 번 적분함으로써 최적궤도와 이에 상응하는 추진 가속도를 알아내었다. 선형제차조절법으로 구한 속도변화량과 기하학적으로 계산한 ${\Delta}V$(속도변화량)을 비교해 봄으로써 제어이론을 통한 궤도조정 방법이 실제상황에 거의 근사한 해를 제공할 수 있는가와 제어이론을 위치보존 궤도조정 문제에 적용한 방법이 경제적인 측면에서의 연료최적화와 이에 따른 정지궤도 위성의 수명연장에 기여할 수 있는가에 대한 해석을 시도하였다.

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Gaussian Apodization이 되어 있는 X-선 결상계의 초분해능 (Gaussian apodization and superresolution optical imaging system for soft X-ray region)

  • 송영란;이민희;이상수
    • 한국광학회지
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    • 제7권2호
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    • pp.89-95
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    • 1996
  • Gauss pupil를 이용하는 초분해능 광학계가 .lambda.=0.013.mu.m인 연 X-선영역에서 정밀하게 취급되었다. 회절상의 적분에서 허수축방향의 선적분치가 작은 값이 된다는 것을 증명하고 이것을 무시하여 실수축 위의 선적분 만으로서 회절상을 구하였다. 이 광학게에서 회절상이 분해능에 대한 구경의 공간주파수대폭(2.omega. $_{o}$ )의 제약 조건이 없다. .omega..rarw..inf.일 때의 회절상의 중심의 강도의 e$^{-2}$ 배의 강도를 초분해능 광학계가 지니고 있어야 한다는 추가적인 조건에서 부터 .omega.$_{o}$ .geq.1/2.sigma.(.omega.$_{o}$ =12*$10^{5}$ , 1/2.sigma.=5.0*$10^{5}$ )의 조건을 얻고, 이 조건에서부터 .DELTA.x=1/2(FWHM).geq. 0.26.lambda.=0.0034.mu.의 관계식을 얻었다 (단, NA=0.25, Rayleigh resolution limit=2.lambda.). 본 연구에서 .DELTA.x=0.008.mu.m인 초분해능 연X-선 결상계를 제시하였으며 이 분해능은 Rayleigh의 분해한계 2.lambda.=0.026.mu.m보다 작다.

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멕시코만 코어 퇴적물(ODP 625B)의 식물왁스 탄화수소(n-alkanes)와 지방산(n-alkanoic acids)의 생성기원 비교 연구 (Contrasting Sources of Plant Wax n-alkanes and n-alkanoic Acids in Gulf of Mexico Sediments (ODP 625B))

  • 서연지
    • Ocean and Polar Research
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    • 제41권2호
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    • pp.89-97
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    • 2019
  • Long chain plant waxes (n-alkanes, n-alkanoic acids, and n-alcohols) and their carbon isotopic compositions (${\delta}^{13}C$) in geologic archives are valuable tools for paleovegetation reconstruction. However, the sensitivity of different plant wax constituents to vegetation shift is not well understood. This study explores controls on the variation in ${\delta}^{13}C$ values of long-chain n-alkanes ($C_{27}$ to $C_{33}$) and n-alkanoic acids ($C_{26}-C_{30}$) in the Gulf of Mexico core sediments (ODP 625B) near the Mississippi River delta. n-Alkanoic acids' ${\delta}^{13}C$ values were higher than those of n-alkanes by 1-2‰ on average and such a pattern is the opposite from their isotope fractionation observed in living plants: 1-2‰ smaller in n-alkanes than n-alkanoic acids. We attribute this offset to contributions from aquatic plants or microbes that produce high concentrations of $^{13}C-enriched$ long-chain n-alkanoic acids. The sensitivity of n-alkanes and n-alkanoic acids to vegetation and climate varied among chain lengths. The $n-C_{33}$ alkanes were most sensitive to $C_4$ grassland expansion among n-alkane homologues, while no specific trend was observed in n-alkanoic acids. This is due to the similarity in n-alkanoic acid concentrations between $C_3$ and $C_4$ plants by homologues and low terrestrial plant-derived n-alkanoic acid contributions to the sediments. The results of this study suggest that long chain n-alkanoic acids' ${\delta}^{13}C$ values in sediments may be influenced by contributions from different sources such as aquatic plants or microbial inputs and therefore interpretations regarding this matter should be cautiously formulated. We suggest that there is a need for further studies on characterizing long-chain n-alkanoic acids ($C_{26}-C_{34}$) in aquatic plants and microbes from various climates and environments in order to investigate their production and integration into sedimentary archives.

A local point interpolation method for stress analysis of two-dimensional solids

  • Liu, G.R.;Gu, Y.T.
    • Structural Engineering and Mechanics
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    • 제11권2호
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    • pp.221-236
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    • 2001
  • A local point interpolation method (LPIM) is presented for the stress analysis of two-dimensional solids. A local weak form is developed using the weighted residual method locally in two-dimensional solids. The polynomial interpolation, which is based only on a group of arbitrarily distributed nodes, is used to obtain shape functions. The LPIM equations are derived, based on the local weak form and point interpolation. Since the shape functions possess the Kronecker delta function property, the essential boundary condition can be implemented with ease as in the conventional finite element method (FEM). The presented LPIM method is a truly meshless method, as it does not need any element or mesh for both field interpolation and background integration. The implementation procedure is as simple as strong form formulation methods. The LPIM has been coded in FORTRAN. The validity and efficiency of the present LPIM formulation are demonstrated through example problems. It is found that the present LPIM is very easy to implement, and very robust for obtaining displacements and stresses of desired accuracy in solids.

A Low Power Multi-Function Digital Audio SoC

  • Lim, Chae-Duck;Lee, Kyo-Sik
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2004년도 하계종합학술대회 논문집(2)
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    • pp.399-402
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    • 2004
  • This paper presents a system-on-chip prototype implementing a full integration for a portable digital audio system. The chip is composed of a audio processor block to implements audio decoding and voice compression or decompression software, a system control block including 8-bit MCU core and Memory Management Unit (MMU) a low power 16-bit ${\Sigma}{\Delta}$ CODEC, two DC-to-BC converter, and a flash memory controller. In order to support other audio algorithms except Mask ROM type's fixed codes, a novel 16-bit fixed-point DSP core with the program-download architecture is proposed. Funker, an efficient power management technique such as task-based clock management is implemented to reduce power consumption for portable application. The proposed chip has been fabricated with a 4 metal 0.25um CMOS technology and the chip area is about 7.1 mm ${\times}$ 7.1mm with 100mW power dissipation at 2.5V power supply.

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Growth and properties of LCMO/YBCO heterostructure

  • Kumar, Manish;Lee, Hyun Hwi
    • 한국진공학회:학술대회논문집
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    • 한국진공학회 2016년도 제50회 동계 정기학술대회 초록집
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    • pp.151.1-151.1
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    • 2016
  • Complex oxide heterointerfaces have been extensively explored in the past due to the novel phenomenon emerging at such interfaces that differ from their individual bulk counterparts. The integration of a ferromagnetic (FM) material with the superconducting (SC) material leading to proximity effect is one of the commonly studied phenomenon in these heterostructures. In continuation, we have stabilized the FM layer La0.7Ca0.3MnO3 (LCMO) on SC material YBa2Cu3O7-${\delta}$ (YBCO) using pulsed laser deposition technique and explored the structural, magnetic, electrical and magneto-transport properties of this heterostructure. ${\Phi}$-scan measurements confirm the epitaxial nature of LCMO/YBCO heterostructure grown on single crystalline SrTiO3 substrate. The FM transition of LCMO and SC transition of YBCO are observed in the magnetization measurements of the bilayer structure. Through electrical measurements, we understood that the proximity effect leads to lowering of the SC transition of YBCO. The role of interface in the bilayer structure is also realized through electrical transport measurements.

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쇄교자속비를 이용한 3권선 변압기 보호 (Three-Winning Transformer Protection Based on Flux Linkage Ratio)

  • 강용철;이병은;김은숙;원성호
    • 대한전기학회논문지:전력기술부문A
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    • 제53권7호
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    • pp.375-381
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    • 2004
  • This paper describes a three-winding transformer protective relaying algorithm based on the ratio of increments of flux linkages (RIFL). To minimize the approximation errors, the algorithm uses integration approximation. The RIFL of the two windings is equal to the turns ratio for all operating conditions except for an internal fault. For a single-phase and three-phase transformer containing the wye-connected windings, the increments of flux linkages (IFL) are calculated. For a three-phase transformer containing the delta-connected windings, the difference of IFL between the two phases are calculated to use the line currents, because the winding currents are practically unavailable. Their ratios are compared with the turns ratio. The comparative study between the proposed and differential approximation methods was conducted. The test results show that the algorithm can reduce the errors resulting from the conventional methods.

Digital Controller Candidate for Point-of-load Synchronous Buck Converter in Tri-mode Mechanism

  • Xiu, Li-Mei;Zhang, Wei-Ping;Li, Bo;Liu, Yuan-Sheng
    • Journal of Power Electronics
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    • 제14권4호
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    • pp.796-805
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    • 2014
  • A digital controller with a low-power approach for point-of-load synchronous buck converters is discussed and compared with its analog counterpart to confirm its feasibility for system integration. The tri-mode digital controller IC in $0.35{\mu}m$ CMOS process is presented to demonstrate solutions that include a PID, quarter PID, and robust RST compensators. These compensators address the steady-state, stand-by, and transient modes according to the system operating point. An idle-tone free condition for ${\Sigma}-{\Delta}$ DPWM reduces the inherent tone noise under DC-excitation. Compared with that of the traditional approach, this condition generates a quasi-pure modulation signal. Experimental results verify the closed-loop performances and confirm the power-saving mechanism of the proposed controller.

하구환경의 생태적 설계 (Ecological Design of Estuarine Environment)

  • 양홍모
    • 한국조경학회지
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    • 제23권2호
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    • pp.167-181
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    • 1995
  • An Ecocomplex is proposed for ecological design of the estuarine environment of Han River, which is designed upon an alternative mamagement concept of estuarine environment. The concept reveals interrelationships among estuary, delta region and urban inland with inputs/outputs and feedbacks among them. The Ecocomplex emphasizes an integration of wastewater treatment with aquaculture, agriculture and recreation, and carries out ecological treatment, recycling, and harvest processes. A module of wastewater treatment pond system is employed in the Ecocomplex, which treats a flow of 3,786 ㎥/day and is composed of a four-facultative-pond series. Treatment ponds stabilize wastewater discharged from the urban area, and concurrently produce algae for commercial or recreational fish farming. Effluent from treatment and fish ponds is reused for agricultural production. Through the waste-algae-fish-vegetable-recreation processes, wastewater from the urban settlement is recycled back to the urban ecosystem. This resource-conserving design approach can maintain a sustainable urban ecosystem, managing an estuarine environment more naturally, healthly, and economically.

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