• 제목/요약/키워드: Dirac analysis

검색결과 22건 처리시간 0.023초

집중 질량을 가진 회전하는 외팔 평판의 진동 해석 (Vibration Analysis of Rotating Cantilever Plates with a Concentrated Mass)

  • 양정식;유홍희
    • 소음진동
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    • 제8권6호
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    • pp.1130-1136
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    • 1998
  • A modelling method for the vibration analysis of rotating cantilever plates with a concentrated mass is presented. The equations of motion for the rotating plates with a concentrated mass located in an arbitrary position are derived and transformed into a dimensionless form. For the mathematical modelling of the concentrated mass. a mass density Dirac delta function is used. The effects of concentrated mass and its location. angular speed. plate aspect ratio. and hub radius of the rotating plate on the natural frequencies are studied. Particularly. mode shape variations due to some parameter variations are investigated.

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Schwinger Pair Production via Polons and the Origin of Stokes Phenomena

  • Kim, Sang Pyo
    • 새물리
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    • 제68권11호
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    • pp.1225-1230
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    • 2018
  • Schwinger pair production of electrons and positrons in a strong electric field is a prediction of nonperturbative quantum field theory, in which the out-vacuum is superposed of multi-particle states of the in-vacuum. Solving the Dirac or Klein-Gordon equation in the background field, though a linear wave equation, and finding the pair-production rate is a difficult or nontrivial job. The phase-integral method has recently been introduced to compute the pair production in space-dependent electric fields, and a complex analysis method has been employed to calculate the pair production in time-dependent electric fields. In this paper, we apply the complex analysis method to a Sauter-type electric field and other hyperbolic-type electric fields that vanish in the past and future and show that the Stokes phenomena in pair production occur when the time-dependent frequency for a given momentum has finite simple poles (polons) with pure imaginary residues.

다중 집중질량효과에 의한 탄성 회전 블레이드의 진동해석 (Vibration Analysis of A Rotating Cantilever Blade with Multiple Concentrated Masses with an Elastically Restrained Root)

  • 윤경재
    • 한국군사과학기술학회지
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    • 제7권4호
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    • pp.114-124
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    • 2004
  • In this paper, we have proposed a novel method which can analysis a rotating elastically restrained blade with concentrated masses located in an arbitrary position. 1:he equations of motion are derived and transformed into a dimensionless form to investigate general phenomena. For the modeling of the multi-concentrated masses, the Dirac delta function is used for the mass density function. Simulation results show that the vibration characteristics of elastic restrained blade of according to dimensionless variables for example, multiple masses magnitude and mass location ratio. This method can be applied to an practical rotating blade system required to more accurate results.

양단이 고정지지된 연속원통셸의 진동특성 해석 (Vibration Analysis of the Continuous Circular Cylindrical Shell with the Clamped-clamped Supports at Two End Edges)

  • 한창환;이영신
    • 한국소음진동공학회논문집
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    • 제12권2호
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    • pp.97-107
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    • 2002
  • The continuous circular cylindrical shells are widely used for the high performance structures of aircraft, spacecraft, missile, nuclear fuel rod shell and so on. In this paper, a method for the vibrational analysis of the continuous circular cylindrical shells with the clamped-clamped supports at two end edges is developed by using the modal expansion method. Forces and/or moments acting on the shell surface are expressed in terms of the Dirac Delta Function. Frequency equation of the continuous shell is also derided by the application of the equilibrium of forces and the continuity of displacements at the boundary. Natural frequencies of the continuous shell are calculated numerically with mathematica 3.0 and they are compared with FEM results from the ANSYS 5.3 to improve the reliability of analytic solutions. Mode shares obtained by the FEM are Presented in this paper.

${Hg}_{1-x}{Cd}_{x}$Te MIS 소자의 C-V 특성 계산 (A Calculation of C-V Characteristics for ${Hg}_{1-x}{Cd}_{x}$Te MIS Device)

  • 이상돈;김봉흡;강형부
    • 대한전기학회논문지
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    • 제43권3호
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    • pp.420-431
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    • 1994
  • The HgCdTe material, which is II-VI compound semiconductor, is important materials for the fabrication of the infrared detectros. To suggest the model of accurate MIS C-V calculation for narrow band gap semiconductors such as HgCdTe, non-parabolicity from k.p theory and degeneracy effect are considered. And partially ionized effect and compensation effect which are material's properties are also considerd. Especially, degenerated material C-V characteristics from Fermi-Dirac statistics and exact charge theory are presented to get more accurate analysis of the experimental results. Also the comparison with calculation results between the general MIS theory from Boltzmann appoximation method and this model which is considered the narrow band gap semiconductor properties, show that this model is more useful theory to determination of accurate low and high frequency C-V characteristics.

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집중방향의 영향을 고려한 회전 외팔보의 진동해석 (Vibration Analysis of Rotating Cantilever Beams Considering Concentrated Mass Effect)

  • 유홍희
    • 대한기계학회논문집A
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    • 제20권8호
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    • pp.2516-2523
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    • 1996
  • The equations of motion for rotating contilever beams with a concentrated mass loated in an arbitrary position are derived. For the modeling of the concentrated mass the Dirac delta function is used for the mass density function. Parametric studies are performed with five dimensionless variables ; natural frequencies, angular velocity, hub radius, concentrated mass, and the mass location. The concentrated mass, whereverit may locate, lowers the natural frequencies of a stationaly beam. However, when the beam rotates, the natural frequencies(if they increase or decrease) are dictated by the location of the concentrated mass.

AuCl3를 도핑하여 제작한 p형 그래핀의 도핑농도에 따른 구조적, 광학적, 및 전기적 특성 연구 (Structural, Optical, and Electrical Characterization of p-type Graphene for Various AuCl3 Doping Concentrations)

  • 김성;신동희;최석호
    • 한국진공학회지
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    • 제22권5호
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    • pp.270-275
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    • 2013
  • 화학 기상 증착법에 의해 제작한 단층 그래핀을 300 nm $SiO_2$/Si와 석영기판 위에 전사한 후 도핑하기 위해 그래핀 표면에 $AuCl_3$ 용액의 농도를 1에서 10 mM까지 변화시키면서 스핀코팅 하였다. 도핑농도에 따른 그래핀의 특성을 여러 구조적, 광학적, 및 전기적 실험기법으로 분석한 결과, 도핑 농도가 증가함에 따라 그래핀의 p형 특성이 더욱 강해진다는 것을 라만 주파수/최고점 세기 비율, 면저항, 일함수, 및 디락점 등의 변화로 확인할 수 있었다. 특히, 그래핀 전계효과 트랜지스터의 드레인 전류-게이트 전압 곡선 측정을 통해 처음으로 도핑농도의 증가에 따라 전하 이동도를 자세히 측정한 결과, 도핑농도가 증가할 때 전자의 이동도는 크게 감소한 것에 비해 정공의 이동도는 매우 적게 변화하였다. 이 결과는 $AuCl_3$가 그래핀의 p형 도핑 불순물로서 매우 우수하다는 것을 의미하여 향후 도핑된 그래핀의 소자활용에 있어 매우 유용할 것으로 전망된다.

Analysis of Nutrient Dynamics and Development of Model for Estimating Nutrient Loading from Paddy Field

  • Jeon, Ji-Hong;Yoon, Chun-G.;Hwang, Ha-Sun;Jung, Kwang-Wook
    • 한국농공학회지
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    • 제45권7호
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    • pp.57-69
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    • 2003
  • To evaluate nutrient dynamics with different fertilization in paddy field and develop water quality model, mass balance analysis was performed during growing season of 2001-2002 in field experimental plots irrigated with groundwater. As a result of water balance analysis, most of outflow was surface drainage as about half of total outflow and about 500mm was lost by evapotranspiration. The water budget was well balanced. The runoff from paddy field was influenced by rainfall and forced drain. Especially runoff during early cultural periods more depends on the forced drain. As a result of mass balance analysis, most of nutrient was input by fertilization and lost by plant uptake. Significant amount of nitrogen were supplied by precipitation and input from upper paddy field, comprising 12%∼28% of total inflow. Nutrient loading by surface drainage was occurred showing about 15%∼29% for T-N and 6%∼13% for T-P. The response of rice yield with different fertilization was not significant in this study. Water quality model for paddy field developed using Dirac delta function and continuous source was calibrated and validated to surface water quality monitoring data. It demonstrates good agreement between observed and simulated. The nutrient concentration of surface water at paddy field was significantly influenced by fertilization. During early cultural periods when significant amount of fertilizer was applied, surface drainage from paddy field can cause serious water quality problem. Therefore, reducing surface drainage during fertilization period can reduce nutrient loading from paddy fields. Shallow irrigation, raising the weir height in diked rice fields, and minimizing forced surface drainage are suggested to reduce surface drainage outflow.

Critical earthquake input energy to connected building structures using impulse input

  • Fukumoto, Yoshiyuki;Takewaki, Izuru
    • Earthquakes and Structures
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    • 제9권6호
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    • pp.1133-1152
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    • 2015
  • A frequency-domain method is developed for evaluating the earthquake input energy to two building structures connected by viscous dampers. It is shown that the earthquake input energies to respective building structures and viscous connecting dampers can be defined as works done by the boundary forces between the subsystems on their corresponding displacements. It is demonstrated that the proposed energy transfer function is very useful for clear understanding of dependence of energy consumption ratios in respective buildings and connecting viscous dampers on their properties. It can be shown that the area of the energy transfer function for the total system is constant regardless of natural period and damping ratio because the constant Fourier amplitude of the input acceleration, relating directly the area of the energy transfer function to the input energy, indicates the Dirac delta function and only an initial velocity (kinetic energy) is given in this case. Owing to the constant area property of the energy transfer functions, the total input energy to the overall system including both buildings and connecting viscous dampers is approximately constant regardless of the quantity of connecting viscous dampers. This property leads to an advantageous feature that, if the energy consumption in the connecting viscous dampers increases, the input energies to the buildings can be reduced drastically. For the worst case analysis, critical excitation problems with respect to the impulse interval for double impulse (simplification of pulse-type impulsive ground motion) and multiple impulses (simplification of long-duration ground motion) are considered and their solutions are provided.

Numerical study on the mitigation of rain-wind induced vibrations of stay cables with dampers

  • Li, Shouying;Wu, Teng;Li, Shouke;Gu, Ming
    • Wind and Structures
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    • 제23권6호
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    • pp.615-639
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    • 2016
  • Although the underlying mechanism of rain-wind induced vibrations (RWIVs) of stay cables has not been fully understood, some countermeasures have been successfully applied to mitigating this kind of vibration. Among these, installing dampers near the bridge deck was widely adopted, and several field observations have shown its effectiveness. In this study, the effectiveness of dampers to RWIVs of stay cables is numerically investigated comprehensively by means of finite difference method (FDM). Based on the free vibration analysis of a taut string, it is found that the 3-points triangle scheme, which can be easily implemented in FDM, can offer an excellent approximation of the concentrated damping coefficient (expressed as a Dirac delta function) at the location where the damper is installed. Then, free vibration analysis of a 3-D continuous stay cable attached with two dampers is carried out to study the relationship of modal damping ratio and damping coefficient of the dampers. The effects of orientation of the dampers and cable sag on the modal damping ratio are investigated in detail. Finally, the RWIV response of a 3-D continuous stay cable attached with two dampers is examined. The results indicate that 0.5% of damping ratio is sufficient to reduce the RWIV vibration of the Cable A20 on the No.2 Nanjing Bridge over Yangtze River.