• Title/Summary/Keyword: Fundamental Solution

Search Result 731, Processing Time 0.026 seconds

REPRESENTING SEQUENCES ON PARABOLIC BERGMAN SPACES

  • Hishikawa, Yosuke
    • Journal of the Korean Mathematical Society
    • /
    • v.48 no.5
    • /
    • pp.1017-1041
    • /
    • 2011
  • The parabolic Bergman space is the set of $L^p(\lambda)$-solution of the parabolic operator $L^{(\alpha)}$. In this paper, we study representin sequences on parabolic Bergman spaces. We establish a discrete version of the reproducing formula on parabolic Bergman spaces by using fractional derivatives of the fundamental solution of the parabolic operator.

Algorithms for Determining the Geostationary Satellite Orbital Positions (정지궤도 위성의 궤도 선정을 위한 알고리즘)

  • Kim Soo-Hyun
    • Journal of the Korean Operations Research and Management Science Society
    • /
    • v.30 no.1
    • /
    • pp.177-185
    • /
    • 2005
  • We consider the optimization problem of the geostationary satellite orbital positions. which is very fundamental and important in setting up the new satellite launching plan. We convert the problem into a discrete optimization problem. However, the converted problem is too complex to find an optimal solution. Therefore, we develope the solution procedures using simulated annealing technique. The results of applying our method to some examples are reported.

Electromagnetic Wave Scattering of the Perfect Conducting Body of Revolution (회전형 완전도체의 전자파 산란특성)

  • Kim, Jung-Ki
    • Journal of the Korean Institute of Telematics and Electronics
    • /
    • v.25 no.2
    • /
    • pp.130-138
    • /
    • 1988
  • The method of conjugate gradient (C.G.M.) is applied to the solution of current distribution from body of revolution(B.O.R.). Using the C.G.M., it is possible to analyze electrically large arbitratily oriented B.O.R.. The fundamental differencess between C.G.M. and moment are outlined. This method converge for any initial guess, and this techniqe guarantees a monotonic convegence. Numerical resulsts are presented for electromagnetic case which shows good agreements with moment solution.

  • PDF

Thick laminated circular plates on elastic foundation subjected to a concentrated load

  • Sheng, Hongyu
    • Structural Engineering and Mechanics
    • /
    • v.10 no.5
    • /
    • pp.441-449
    • /
    • 2000
  • In this study, the state equation for axisymmetric bending of laminated transversely isotropic circular plates on elastic foundation is established on the basis of three-dimensional elasticity. By using the expansions of Bessel functions, an analytical solution of the problem is presented. As a result, all the fundamental equations of three-dimensional elasticity can be satisfied exactly and all the independent elastic constants can be fully taken into account. Furthermore, the continuity conditions at the interfaces of plies can also be satisfied.

Modeling of Velocity Term in 3D Moving Conductor Problems by the Indirect BIEM (간접경계적분법에 의한 3차원 운동도체 문제에서의 속도항 모델링)

  • Kim, Dong-Hun;Park, Jin-Soo
    • Proceedings of the KIEE Conference
    • /
    • 1998.07a
    • /
    • pp.113-115
    • /
    • 1998
  • This paper presents the indirect boundary integral equation method(BIEM) to analyze 3D moving conductor problem. Instead of an artificial upwind algothm, the proposed method uses a fundamental Green's function which is a particular solution of diffusion equation. Therefore, this method yields a stable and accurate solution regardless of the Peclet number. The indirect BIEM is compared with 3D upwind FEM for a numerical model which has analytic solutions.

  • PDF

A Basic Study on the Continuous Purification of Zinc Chloride Plating Solution (전기아연도금조업에서 연화아합도금용술의 연질쟁액에 관한 공기연구)

  • 이선우;도만형
    • Journal of the Korean institute of surface engineering
    • /
    • v.25 no.3
    • /
    • pp.117-125
    • /
    • 1992
  • In the electrolysis process of zinc plating impurity ions must be removed from zinc chloride plating solution because it's harmful to the current efficiency and the purity of zinc plating. In this study using zinc ball as a prcipitant instead of zinc dust, the fundamental data for continuous cementation process was studied. Based upon two series of experiments that consist of batch experiment with cylindrical zinc specimen and continuous experiment with zinc balls, following results have been obtained. In the continuous experiment all impurity ions have been removed within 1 hour regardless of various experimental conditions.

  • PDF

Physical and Chemical Effects on the Sonication Treatment of Chitosan Solution

  • LEE Keun-Tai;PARK Seong-Min;PARK Chan-Kyu;KIM Sang-Moo
    • Korean Journal of Fisheries and Aquatic Sciences
    • /
    • v.29 no.6
    • /
    • pp.843-848
    • /
    • 1996
  • As the first step of studies related to production of chitooligosaccharides by physical methods, chitosan solution were sonicated with 20 kHz and various treatment effects were examined to present fundamental data of sonicated chitosan solution. Intrinsic viscosity of chitosan solution sharply decreased from 3.76 dl/g to 2.90 dl/g until 5 minutes of sonication and then slowly decreased. With low volume of chitosan solution, sonication was very effective and temperature of chitosan solution slightly affected the efficiency of sonication. In case of changing the solvent, no significant differences were observed on the effect of sonication, however, acetate buffer had highest sonication effect among various solvents. The sonication effect was increased as the increasement of the value of pH, on the contrary, ionic strength and type of counterions showed no effect on sonication. With these results, we assumed that optimal sonication treatment would be as follows, solution volume was $10\~20\;ml$, temperature range was $20\~30^{\circ}C$, pH value of solution was 4.5 and type of solvent was acetate buffer.

  • PDF

Prestress force effect on fundamental frequency and deflection shape of PCI beams

  • Bonopera, Marco;Chang, Kuo-Chun;Chen, Chun-Chung;Sung, Yu-Chi;Tullini, Nerio
    • Structural Engineering and Mechanics
    • /
    • v.67 no.3
    • /
    • pp.255-265
    • /
    • 2018
  • The prestress force effect on the fundamental frequency and deflection shape of Prestressed Concrete I (PCI) beams was studied in this paper. Currently, due to the conflicts among existing theories, the analytical solution for properly considering the structural behavior of these prestressed members is not clear. A series of experiments were conducted on a large-scale PCI beam of high strength concrete with an eccentric straight unbonded tendon. Specifically, the simply supported PCI beam was subjected to free vibration and three-point bending tests with different prestress forces. Subsequently, the experimental data were compared with analytical results based on the Euler-Bernoulli beam theory. It was proved that the fundamental frequency of PCI beams is unaffected by the increasing applied prestress force, if the variation of the initial elastic modulus of concrete with time is considered. Vice versa, the relationship between the deflection shape and prestress force is well described by the magnification factor formula of the compression-softening theory assuming the secant elastic modulus.

Calculation of Stress Intensity Factors Using Single-Layer Potential and Weight Function (Single-Layer 포텐셜과 가중함수를 이용한 응력강도계수의 계산)

  • 이형연;홍창선
    • Transactions of the Korean Society of Mechanical Engineers
    • /
    • v.19 no.4
    • /
    • pp.981-989
    • /
    • 1995
  • A new weight function approach to determine SIF(stress intensity factor) using single-layer potential has been presented. The crack surface displacement field was represented by one boundary integral term whose kernel was modified from Kelvin's fundamental solution. The proposed method enables the calculation of SIF using only one SIF solution without any modification for the crack geometries symmetric in two-dimensional plane such as a center crack in a plate with or without an internal hole, double edge cracks, circumferential crack or radial cracks in a pipe. The application procedure to those crack problems is very simple and straightforward with only one SIF solution. The necessary information in the analysis is two reference SIFs. The analysis results using present closed-form solution were in good agreement with those of the literature.

Theoretical Derivation of the Optimum Rotation Speed of a Desiccant Rotor (이론적 방법에 의한 제습로터 최적 회전속도의 결정)

  • Lee, Dae-Young;Song, Gwi-Eun
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
    • /
    • v.21 no.10
    • /
    • pp.575-582
    • /
    • 2009
  • The optimum rotation speed of a desiccant rotor is studied theoretically based on a theoretical solution to the heat and mass transfer processes in the desiccant rotor. A simple correlation equation for the optimum rotation speed is derived to show the effects of various parameters including the thermo-physical properties, the geometric dimension, and the operating condition of the desiccant rotor. The theoretical result is compared with existing experimental data to validate the linearization and simplification included in the solution procedure. Based on the theoretical solution, the effects of major parameters on the optimum rotation speed are studied and the fundamental mechanism of the influences is investigated.