• Title/Summary/Keyword: infinite case

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FUNDAMENTAL UNITS AND REGULATORS OF AN INFINITE FAMILY OF CYCLIC QUARTIC FUNCTION FIELDS

  • Lee, Jungyun;Lee, Yoonjin
    • 대한수학회지
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    • 제54권2호
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    • pp.417-426
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    • 2017
  • We explicitly determine fundamental units and regulators of an infinite family of cyclic quartic function fields $L_h$ of unit rank 3 with a parameter h in a polynomial ring $\mathbb{F}_q[t]$, where $\mathbb{F}_q$ is the finite field of order q with characteristic not equal to 2. This result resolves the second part of Lehmer's project for the function field case.

Output-feedback H_infinite Control of Discrete-time LPV Systems

  • Park, Doo-Jin;Park, Poo-Gyeon
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2002년도 ICCAS
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    • pp.44.2-44
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    • 2002
  • $\textbullet$ We propose a new H_infinite LPV output-feedback controller associated with a new PQLF $\textbullet$ The LPV controller employs not only the current-time but also the one-step-past information $\textbullet$ The controller is formulated with parameterized linear matrix inequalities $\textbullet$ We propose the new controller for discrete-time LPV systems $\textbullet$ As a conservative case, we suggest another controller associated with CQLF

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The Infinite Hyper Order of Solutions of Differential Equation Related to Brück Conjecture

  • Zhang, Guowei;Qi, Jianming
    • Kyungpook Mathematical Journal
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    • 제60권4호
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    • pp.797-803
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    • 2020
  • The Brück conjecture is still open for an entire function f with hyper order of no less than 1/2, which is not an integer. In this paper, it is proved that the hyper order of solutions of a linear complex differential equation that is related to the Brüuck Conjecture is infinite. The results show that the conjecture holds in a special case when the hyper order of f is 1/2.

구형석출물을 갖는 무한 고체에 전수압이 가해지는 경우에 대한 탄소성해 (An elasto-plastic solution for infinite solid containing a spherical precipitate under hydrostatic pressure)

  • 최병익;엄윤용
    • 대한기계학회논문집
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    • 제5권2호
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    • pp.122-130
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    • 1981
  • Equation of equilibrium is derived and solved for an infinite isotropic solid under applied hydrostatic stress which is uniform at large distance, and disturbed by a spherical precipitate which has isotropoc elastic constants dirrerent form those of the matrix. A linear strain hardening behavior of the matrix is assumed, and an elasto-plastic sloution is obtained. The difference of the total strain energy stored inthe infinite solid with and without a precipitate is computed, and compared with that for purely elastic case. Finally the effect of the ratio of the bulk modulus of the precipitate to that of the matrix and the effct of linear strain hardening rate on the plastic zone size and the energy difference are discussed.

양무한평판의 두 원공비렬이 응력집중에 미치는 영향 (The Effect of Two Circular Holes Arrangement on the Stress Concentration Factor in a Semi-infinite Plate)

  • 오세욱;박영철;김준영
    • 한국해양공학회지
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    • 제4권1호
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    • pp.110-119
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    • 1990
  • This study is concerned about the stress concentration factor measurement by photoelastic method, for the case of two circular holes arrangement in 3mm semi-infinite plate under tensile load, the ratio of those two circular holes diameter, the ratio of distance apart from circular holes to breadth and the two holes arrangement angle with loading direction were varied. Besides, the measured stress concentration by photoelastic method around one circular hole was compared with that by strain-gage method.

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무한 탄성 평판상의 기준점에 전달되는 진동인텐시티의 능동제어 (Active Control of Vibrational Intensity at a Reference Point in an Infinite, Elastic Plate)

  • 김기만
    • 한국소음진동공학회논문집
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    • 제11권4호
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    • pp.22-30
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    • 2001
  • In this paper, active control of vibrational intensity at a reference point in an infinite, elastic plate was discussed. The plate is excised harmonically by a vibrating source, which has a vertical point force. The optimal condition of controller was investigated to minimize the vibrational intensity being transmitted from the vibrating source to a reference point. Hence the method of feedforward control was employed for the control strategy and then the cost function was evaluated to find the optimal control force. Three types of control force (Vertical force, Moment, and Coupling force (a set of vertical force and moment) ) and controller's positions were examined to define the optimal condition of the controller. The vibrational intensity at a reference point was found to be reduced down to a zero level, compared with the uncontrolled case. Especially maximum reduction of vibrational intensity was achieved when the controller was collinearly positioned between a vibrating source and a reference point.

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스파크 음원을 이용한 장벽의 회절음장에 관한 실험 연구 (Experimental Study on Sound Diffraction over Barrier Using a Spark Discharge Sound Source)

  • 주진수
    • 소음진동
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    • 제9권3호
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    • pp.466-471
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    • 1999
  • The prediction methods of diffraction field in barrier has beenreported much about the infinite length barrier and it is very few work that reasonable sound source was used in experiment. This study, however, has worked about the several model barrier with acoustic scale model experiment. In the case of scale model experiment, it is difficult to use the kind of source with sufficiently characteristics. A spark discharge sound source with the high repeatability, broad band spectra, small size and omnidirectivity has veen used for the prediction of diffraction field. Several model barriers with different length on the ground were considered for the experiment and compared with the the results calculated by the approximation.

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Effects of Drilling Degrees of Freedom in the Finite Element Modeling of P- and SV-wave Scattering Problems

  • Kim, Jae-Hwan
    • The Journal of the Acoustical Society of Korea
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    • 제18권1E호
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    • pp.37-43
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    • 1999
  • This paper deals with a hybrid finite element method for wave scattering problems in infinite domains. Scattering of waves involving complex geometries, in conjunction with infinite domains is modeled by introducing a mathematical boundary within which a finite element representation is employed. On the mathematical boundary, the finite element representation is matched with a known analytical solution in the infinite domain in terms of fields and their derivatives. The derivative continuity is implemented by using a slope constraint. Drilling degrees of freedom at each node of the finite element model are introduced to make the numerical model more sensitive to the transverse component of the elastodynamic field. To verify the effects of drilling degrees freedom and slope constraints individually, reflection of normally incident P and SV waves on a traction free half spaces is considered. For the P-wave incidence, the results indicate that the use of slope constraint is more effective because it suppresses artificial reflection at the mathematical boundary. For the SV-wave case, the use of drilling degrees freedom is more effective by reducing numerical error at irregular frequencies.

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전력계통의 미소신호안정도에 미치는 무효전력보상기의 영향에 관한연구 (A Study on the Effect of SVC in One machine infinite bus system)

  • 권세혁;김덕영;노규민;유광용
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1995년도 하계학술대회 논문집 B
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    • pp.497-499
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    • 1995
  • The effect of static var compensator(SVC) in one machine infinite bus system is investigated. SVC is installed in generator terminal and the structure of state matrix including SVC is represented. Eigenvalue analysis is performed in changing the value of SVC parameter to show the effect of SVC. The effect of SVC in eigenvalue analysis is small in the case of one machine infinite bus system.

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수직 균일 열유동하에 있는 접합 경계면 균열의 열응력세기계수 결정 (Determination of Thermal Dtress Intensity Factors for the Interface Crack under Vertical Uniform Heat Flow)

  • 이강용;설창원
    • 대한기계학회논문집
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    • 제15권1호
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    • pp.201-208
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    • 1991
  • 본 연구에서는 균일 열유동이 접합면에 수직으로 흐르고 접합 경계면 균열의 열경계조건이 단열되어 있는 경우에 균질 및 접합재료 모두에 적용될 수 있는 열응세 기계수를 복소해석방법을 이용하여 구하고자 한다.