• Title/Summary/Keyword: integral point

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A Study on Robustness of a Servosystem with Nonlinear Type Uncertainty (I) - A Synthesis of 2DOF Servosystem (비선형 불확실성에 대한 서보계의 강인성에 관한 고찰(I) - 직달항을 고려한 2자유도 서보계의 구성)

  • Kim, Young-Bok
    • Journal of Ocean Engineering and Technology
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    • v.13 no.3B
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    • pp.91-98
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    • 1999
  • In order to reject the steady-state tracking error, it is common to introduce integral compensators in servosystems for constant reference signals. However, if the mathematical model of the plant is exact and no disturbance input exists, the integral compensation is not necessary. From this point of view, a two-degree-of-freedom(2DOF) servosystem has been proposed, in which the integral compensation is effective only when there is a modeling error or a disturbance input. The present paper considers a synthesis problems of this 32DOF servosystem with direct transfer term in the system representation. And, a method how we may obtain a gain such that desirable transient response is achieved, is proposed in the presence of the modelling error and disturbance input.

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A study on the J-integral and the fracture behavior of concrete (J-적분과 콘크리트 파괴거동에 관한 연구)

  • 최신호;윤요현;계해주;전철송;김화중
    • Proceedings of the Korea Concrete Institute Conference
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    • 2000.10a
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    • pp.185-190
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    • 2000
  • The effect of specimen thickness and notch's depth and the validity of J-integral analysis were studied on the fracture behavior of concrete. Through the 3-point bending test, the stress-deformation curves were experimentally measured. Concrete fracture toughness is calculated from stress-displacement curves. Concrete fracture toughness decreases when notch's depth is longer. So, Gf is less sensitive than JIc and Gf is more useful factor as concrete fracture toughness parameter. The values of J-integral and fracture energy increase when the breadth of concrete specimen get longer from 75mm to 150mm. Therefore, the breadth effect of specimen has to be considered in determining the concrete fracture toughness.

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Application of the Expansion Method for Spherical Harmonics for Computation of Overlap Integrals in Molecular System (분자계의 Overlap Integral의 계산의 Spherical Harmonics 전개방법의 응용)

  • Sangwoon Ahn
    • Journal of the Korean Chemical Society
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    • v.22 no.3
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    • pp.117-127
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    • 1978
  • Slater type orbitals, located at two different points A and B, are expressed in a common coordinate system by expanding the spherical harmonics and the radial part of these orbitals in terms of the reference point A. Master formulas for two center overlap integrals are derived, using the general expansion formulas of slater type atomic orbitals. Two center overlap integrals for $CH_4,\;H_2O,\;NH_3,\;C_2H_6\;and\;PH_3$molecules are evaluated, using master formulas for two center overlap integrals. The results are in agreement with those of two center overlap integrals of Mulliken.

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ON CERTAIN GENERALIZED q-INTEGRAL OPERATORS OF ANALYTIC FUNCTIONS

  • PUROHIT, SUNIL DUTT;SELVAKUMARAN, KUPPATHAI APPASAMY
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.6
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    • pp.1805-1818
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    • 2015
  • In this article, we first consider a linear multiplier fractional q-differintegral operator and then use it to define new subclasses of p-valent analytic functions in the open unit disk U. An attempt has also been made to obtain two new q-integral operators and study their sufficient conditions on some classes of analytic functions. We also point out that the operators and classes presented here, being of general character, are easily reducible to yield many diverse new and known operators and function classes.

Viewing Angle Enhancement of Light Direction Controllable Integral Imaging Three-dimensional Display System by Moving Aperture in 4-f Illumination Optics

  • Shin, Min-Young;Park, Jae-Hyeung;Kim, Nam
    • 한국정보디스플레이학회:학술대회논문집
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    • 2009.10a
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    • pp.1341-1344
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    • 2009
  • A novel method to control the viewing direction by moving aperture location in 4-f illumination optics to control light direction is proposed. Based on integral imaging principle, the relayed point light sources by 4-f optics are modulated by a spatial light modulator, displaying three-dimensional images. In the proposed method, we locate the aperture, which acts as a band pass filter, around an optic axis to control the light direction. Resultantly, assuming that we know the viewer position by a tracking system, we can display appropriate three-dimensional images over large viewing angle.

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Generating the Array of Elemental Image efficiently by using Look-Up Table in Integral Imaging System (집적영상 시스템에서 룩업테이블을 사용한 요소영상 배열의 효과적인 생성)

  • Kwon, Young-Man;Kim, Seung-Chul;Kim, Eun-Soo
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.33 no.12C
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    • pp.1068-1074
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    • 2008
  • In this paper, we propose the algorithm for generating the array of elemental image by using look-up table (L UT) in a computer generated integral imaging system. It makes the LUT independently for the projection point of x and y. The algorithm using LUT to the existing ones needs less computing time to generate the array of elemental image. By comparing the computing time of proposed algorithm with that of the existing algorithms e xperimently, we proved the efficiency of proposed algorithm.

Control of the pressurized water nuclear reactors power using optimized proportional-integral-derivative controller with particle swarm optimization algorithm

  • Mousakazemi, Seyed Mohammad Hossein;Ayoobian, Navid;Ansarifar, Gholam Reza
    • Nuclear Engineering and Technology
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    • v.50 no.6
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    • pp.877-885
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    • 2018
  • Various controllers such as proportional-integral-derivative (PID) controllers have been designed and optimized for load-following issues in nuclear reactors. To achieve high performance, gain tuning is of great importance in PID controllers. In this work, gains of a PID controller are optimized for power-level control of a typical pressurized water reactor using particle swarm optimization (PSO) algorithm. The point kinetic is used as a reactor power model. In PSO, the objective (cost) function defined by decision variables including overshoot, settling time, and stabilization time (stability condition) must be minimized (optimized). Stability condition is guaranteed by Lyapunov synthesis. The simulation results demonstrated good stability and high performance of the closed-loop PSO-PID controller to response power demand.

Pathway Fractional Integral Formulas Involving Extended Mittag-Leffler Functions in the Kernel

  • Rahman, Gauhar;Nisar, Kottakkaran Sooppy;Choi, Junesang;Mubeen, Shahid;Arshad, Muhammad
    • Kyungpook Mathematical Journal
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    • v.59 no.1
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    • pp.125-134
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    • 2019
  • Since the Mittag-Leffler function was introduced in 1903, a variety of extensions and generalizations with diverse applications have been presented and investigated. In this paper, we aim to introduce some presumably new and remarkably different extensions of the Mittag-Leffler function, and use these to present the pathway fractional integral formulas. We point out relevant connections of some particular cases of our main results with known results.

APPROXIMATION OF FIXED POINTS AND THE SOLUTION OF A NONLINEAR INTEGRAL EQUATION

  • Ali, Faeem;Ali, Javid;Rodriguez-Lopez, Rosana
    • Nonlinear Functional Analysis and Applications
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    • v.26 no.5
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    • pp.869-885
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    • 2021
  • In this article, we define Picard's three-step iteration process for the approximation of fixed points of Zamfirescu operators in an arbitrary Banach space. We prove a convergence result for Zamfirescu operator using the proposed iteration process. Further, we prove that Picard's three-step iteration process is almost T-stable and converges faster than all the known and leading iteration processes. To support our results, we furnish an illustrative numerical example. Finally, we apply the proposed iteration process to approximate the solution of a mixed Volterra-Fredholm functional nonlinear integral equation.

Relation between J and CMOD in dynamic loaded 3-point bend specimens (동적 하중을 받는 3점 굽힘 시험편들에서의 J와 CMOD와의 관계)

  • Lee, Ouk-S.;Cha, Il-Nam;Cho, Jae-Ung
    • Journal of the Korean Society for Precision Engineering
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    • v.11 no.2
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    • pp.134-140
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    • 1994
  • Numerical caiculations are made in order to find a possible relation between the J-integral and the crack mouth opening displacement(CMOD) in dynamic nonlinear fracture experiments. Both elastic-plastic and elastic-viscoplastic materials are considered at different impact velocities. The J-integral may be estimated from the crack mouth opening displacement which can be measured directiy from photographs taken during dynamic experiments.

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