• Title/Summary/Keyword: Direct integral method

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A more efficient numerical evaluation of the green function in finite water depth

  • Xie, Zhitian;Liu, Yujie;Falzarano, Jeffrey
    • Ocean Systems Engineering
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    • v.7 no.4
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    • pp.399-412
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    • 2017
  • The Gauss-Legendre integral method is applied to numerically evaluate the Green function and its derivatives in finite water depth. In this method, the singular point of the function in the traditional integral equation can be avoided. Moreover, based on the improved Gauss-Laguerre integral method proposed in the previous research, a new methodology is developed through the Gauss-Legendre integral. Using this new methodology, the Green function with the field and source points near the water surface can be obtained, which is less mentioned in the previous research. The accuracy and efficiency of this new method is investigated. The numerical results using a Gauss-Legendre integral method show good agreements with other numerical results of direct calculations and series form in the far field. Furthermore, the cases with the field and source points near the water surface are also considered. Considering the computational efficiency, the method using the Gauss-Legendre integral proposed in this paper could obtain the accurate numerical results of the Green function and its derivatives in finite water depth and can be adopted in the near field.

Resolution Enhancement for Far Objects by Using Direct Pixel Mapping Method in Curving-Effective Integral Imaging (커브형 집적영상에서 다이렉트 픽셀매핑 방법을 이용한 먼 거리 물체의 해상도 향상)

  • Chung, Han-Gu;Kim, Eun-Soo
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.15 no.12
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    • pp.2664-2669
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    • 2011
  • We proposed a new method to improve the resolution of far object image in curving effective integral imaging system. Basically, the curving effective integral imaging(CEII) system can improve the resolution of the reconstructed images with an increased sampling rate of elemental images. However, in the case when an object located far from the lenslet array is picked up, the low resolution of the reconstructed images of the far object has been a primary problem because the sampling rate is very low. In order to solve this drawback, by using the direct pixel mapping(DPM) method the EIA picked up from a far object is transformed into a new EIA that virtually looks like the EIA picked up from the object originally located close to the lenslet array. From this new EIA, highly resolution-enhanced images of far object could be reconstructed in the CEII system. To show the feasibility of the proposed method, simulation results are compared with the conventional method.

Spring Modeling for the Passive Earth Pressure Acting on the Integral Abutment Bridge (일체식교대 교량에 작용하는 수동토압의 스프링 모델링)

  • 정재호;홍정희;유성근;윤순종
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2002.10a
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    • pp.420-427
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    • 2002
  • In this paper, a simplified structural spring model of integral abutment bridge is proposed to account for the passive earth pressure due to the change of temperature. The magnitude of earth pressure acting on integral bridge abutment mainly depends on the amount and shape of displacement of abutment according to the thermal expansion of superstructure. The proposed simplified model is developed based on the possible displacement shape of integral abutment bridge. Performing the direct stiffness method, the analysis is done by using the proposed method and the results of new model is compared with those of conventional design approach. The study show that it may be possible to obtain more rational and economical design values for integral abutment bridge by applying the proposed design method.

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AN INTEGRAL EQUATION FOR KINKED CRACKS APPLIED TO MODE III IN FINITE PLANE BODIES (유한영역에서의 모드 III 꺾인균열 해석을 위한 적분방정식 적용연구)

  • Sur, Ukhwan
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.2 no.1
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    • pp.111-129
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    • 1998
  • An integral equation representation of cracks was presented, which differs from well-known "dislocation layer" representation. In this new representation, an integral equation representation of cracks was developed and coupled to the direct boundary-element method for treatment of cracks in plane finite bodies. The method was developed for in-plane(modes I and II) loadings only. In this paper, the method is formulated and applied to mode III problems involving smooth or kinked cracks in finite region. The results are compared to exact solutions where available and the method is shown to be very accurate despite of its simplicity.

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Direct Energy Method of Power System Stability Analysis and its Application by using Energy Conservation Law (에너지보존법칙을 이용한 전력계통 안정도 직접 해석법에서의 응용)

  • Lee, Yong-Hoon;Cho, Byoung-Hoon;Ryu, Heon-Su;Moon, Young-Hyun
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.48 no.10
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    • pp.1207-1214
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    • 1999
  • Many papers have recently been presented to develop energy functions for power systems. However, earlier studies adopted case-by-case approaches, which failed to give a general approach to deal with various kinds of generator models. In this paper, two useful theorems are developed regarding the integral relationships of the generator power versus its phasor current and voltage. By using the proposed theorems, an exact energy conservation law can be derived from the complex integral. The proposed energy conservation law, which is free of the generator model, can be utilized to develop energy functions for various kinds of generator models including the speed governors and exciters. An illustrative example is given for a multimachine system with the Eq' model of generator. This thesis also shows a possibility of more accurate and fast stability analysis by using the proposed Energy Conservation Law.

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Energy Conservation Law and its application for Direct Energy method of Power System Stability (에너지 보존법칙과 전력계통 안정도 직접 해석법에서의 응용)

  • Moon, Young-Hyun;Lee, Yong-Hoon;Cho, Byoung-Hoon;Ryu, Heon-Su;Choi, Byoung-Kon
    • Proceedings of the KIEE Conference
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    • 1998.11a
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    • pp.263-268
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    • 1998
  • Many papers have recently been presented to develop energy functions for power systems. However, earlier studies adopted case-by-case approaches, which failed to give a general approach to deal with various kinds of generator models. In this paper, two useful theorems are developed regarding the integral relationships of the generator power versus its phasor current and voltage. By using the proposed theorems, an exact energy conservation law can be derived from the complex integral. The proposed energy conservation law, which is free of the generator model, can be utilized to develop energy functions for various kinds of generator models including the speed governors, and exciters. An illustrative example is given for a multimachine system with the Eq' model of generator. This thesis also shows a possibility of more accurate and fast stability analysis by using the proposed Energy Conservation Law.

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Application of the Boundary Element Method to Finite Deflection of Elastic Bending Plates

  • Kim, Chi Kyung
    • International Journal of Safety
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    • v.2 no.1
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    • pp.39-44
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    • 2003
  • The present study deals with an approximate integral equation approach to finite deflection of elastic plates with arbitrary plane form. An integral formulation leads to a system of boundary integral equations involving values of deflection, slope, bending moment and transverse shear force along the edge. The basic principles of the development of boundary element technique are reviewed. A computer program for solving for stresses and deflections in a isotropic, homogeneous, linear and elastic bending plate is developed. The fundamental solution of deflection and moment is employed in this program. The deflections and moments are assumed constant within the quadrilateral element. Numerical solutions for sample problems, obtained by the direct boundary element method, are presented and results are compared with known solutions.

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 Mode III Kinked Crack Analysis Using Displacement-Discontinuity Method (변위 불연속 방법에 의한 모드 III 꺾인 균열 해석 연구)

  • 서욱환
    • Journal of Welding and Joining
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    • v.18 no.4
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    • pp.104-110
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    • 2000
  • An integral equation representation of cracks was presented, which differs from well-known "dislocation layer" representation. In this new representation, an integral equation representation of cracks was developed and coupled to the direct boundary-element method for treatment of cracks in plane finite bodies. The method was developed for in-plane (modes I and II) loadings only. In this paper, the method is formulated and applied to mode III problems involving smooth or kinked cracks in finite region. The results are compared to exact solutions where available and the method is shown to be very accurate despite of its simplicity.implicity.

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Development of the direct boundary element method for thin bodies with general boundary conditions (일반 경계 조건을 가진 얇은 물체에 대한 직접 경계 요소법의 개발)

  • 이강덕;이덕주
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1997.04a
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    • pp.701-708
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    • 1997
  • A direct boundary element method(DBEM) is developed for thin bodies whose surfaces are rigid or compliant. Th eHelmholtz integral equation and its normal derivative integral equation are adopted simultaneously to calculate the pressure on both sides of the thin body, instead of the jump values across it, to account for the different surface conditions of each side. Unlike the usual assumption, the normal velocity is assumed to be discontinuous across the thin body. In this approach, only the neutral surface of the thin body has to be discontinuous across the thin body. In this approach, only the neural surface of the thin body has to be discretized. The method is validated by comparison with analytic and/or numerical results for acoustic scattering and radiation from several surface conditions of the thin body; the surfaces are rigid when stationary or vibrating, and part of the interior surface is lined with a sound-absorbing material.

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