• 제목/요약/키워드: Integral calculation

검색결과 275건 처리시간 0.024초

기기 건전성 평가를 위한 3차원 J-적분 계산 전산코드 응용평가 연구 (Development of 3-D J-Integral Calculation Method for Structural Integrity Evaluation)

  • 김영진
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1999년도 추계학술대회 논문집 학회본부 A
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    • pp.450-454
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    • 1999
  • In order to evaluate the integrity of nuclear power plants, J-integral calculation is crucial. For this purpose, finite element method is popularly used to obtain J-integral. However, high cost time consuming preprocess should be performed to design the finite element model of a cracked structure. Also, the J-integral should be verified by alternative method since it may differ depending on the calculation method. The objective of this paper is to develop a three-dimensional elastic-plastic J-integral analysis system which is named as EPAS. The EPAS program consists of an automatic mesh generator for a through-wall crack and a surface crack, a solver based on ABAQUS program, and a J-integral calculation program which provides DI(Domain Integral) and EDI(Equivalent Domain Integral) based J-integral calculation. Using the EPAS program, an optimized finite element model for a cracked structure can be generated and corresponding J-integral can be obtained subsequently.

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원자력발전소 주요기기의 건전성 평가를 위한 3차원 탄소성 해석 시스템의 개발 (Development of a Three Dimensional Elastic Plastic Analysis System for the Integrity Evaluation of Nuclear Power Plant Components)

  • 허남수;임창주;김영진;표창률;박치용
    • 대한기계학회논문집A
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    • 제24권8호
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    • pp.2015-2021
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    • 2000
  • In order to evaluate the integrity of nuclear power plant components, the analysis based on fracture mechanics is crucial. For this purpose, finite element method is popularly used to obtain J-integral. However, it is time consuming to design the finite element model of a cracked structure. Also, the J-integral should be verified by alternative methods since it may differ depending on the calculation method. The objective of this paper is to develop a three-dimensional elastic-plastic J-integral analysis system which is named as EPAS program. The EPAS program consists of an automatic mesh generator for a through-wall crack and a surface crack, a solver based on ABAQUS program, and a J-integral calculation program which provides DI (Domain Integral) and EDI (Equivalent Domain Integral) based J-integral calculation. Using the EPAS program, an optimized finite element model for a cracked structure can be generated and corresponding J-integral can be obtained subsequently.

A Simple Method for Identifying Mechanical Parameters Based on Integral Calculation

  • Han, Sang-Heon;Yoo, Anno;Yoon, Sang Won;Yoon, Young-Doo
    • Journal of Power Electronics
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    • 제16권4호
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    • pp.1387-1395
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    • 2016
  • A method for the identification of mechanical parameters based on integral calculation is presented. Both the moment of inertia and the friction constant are identified by the method developed here, which is based on well-known mechanical differential equations. The mechanical system under test is excited according to a pre-determined low-frequency sinusoidal motion, minimizing the distortion, and increasing the accuracy of the results. The parameters are identified using integral calculation, increasing the robustness of the results against measurement noise. Experimental data are supported by simulation, confirming the effectiveness of the proposed technique. The performance improvements shown here are of use in the design of speed and position controllers and observers. Owing to its simplicity, this method can be readily applied to commercial inverter products.

Steady-State Integral Proportional Integral Controller for PI Motor Speed Controllers

  • Hoo, Choon Lih;Haris, Sallehuddin Mohamed;Chung, Edwin Chin Yau;Mohamed, Nik Abdullah Nik
    • Journal of Power Electronics
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    • 제15권1호
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    • pp.177-189
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    • 2015
  • The output of the controller is said to exceed the input limits of the plant being controlled when a control system operates in a non-linear region. This process is called the windup phenomenon. The windup phenomenon is not preferable in the control system because it leads to performance degradation, such as overshoot and system instability. Many anti-windup strategies involve switching, where the integral component differently operates between the linear and the non-linear states. The range of state for the non-overshoot performance is better illustrated by the boundary integral error plane than the proportional-integral (PI) plane in windup inspection. This study proposes a PI controller with a separate closed-loop integral controller and reference value set with respect to the input command and external torque. The PI controller is compared with existing conventional proportional integral, conditional integration, tracking back calculation, and integral state prediction schemes by using ScicosLab simulations. The controller is also experimentally verified on a direct current motor under no-load and loading conditions. The proposed controller shows a promising potential with its ability to eliminate overshoot with short settling time using the decoupling mode in both conditions.

Penumbra Effect on Integral Absorbed Dose in Co-60 Teletherapy

  • Moon, Philip S.
    • Nuclear Engineering and Technology
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    • 제5권2호
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    • pp.87-93
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    • 1973
  • Co-60원격치료장치에 장진된 Co-60 선원의 크기 때문에 Co-60원격치료시 치료부위에 반영부분이 생기게 되어 불필요한 방사선조사를 받게된다. 반영부분에서의 흡수적 산선량을 계산할 수 있는 식을 실험적으로 유도하였고, 실재로 Co-60원격치료에서 사용되는 조건을 실험식에 대입하여 반영의 크기가 흡수적산선랑에 미치는 영향을 연구해 보았다. 선원과 표피간의 거리가 크면 클수록 반영부분의 흡수적산선량은 커지고, 선원의 직경이 크면 클수록 반영부분의 흡수적산선량이 커진다. 선원과 피부간의 거리가 커지는데 따라, 어떤 경우에는 반영부분의 흡수적산선량이 치료부분의 흡수적산선량의 수배가 될 때도 있음을 알았다. 따라서 Co-60원격치료시에는 반영효과를 고려에 넣어 불필요한 방사선조사를 피하도록 하여야 하겠다.

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메모리 크기에 효율적인 적분영상 하드웨어 설계 연구 (A Study of Integral Image Hardware Design for Memory Size Efficiency)

  • 이수현;정용진
    • 전자공학회논문지
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    • 제51권9호
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    • pp.75-81
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    • 2014
  • 적분영상은 입력영상의 픽셀 값을 기준좌표부터 순차적으로 누적하여 만든 영상으로, Haar-like features와 같은 네모난 박스 모양의 필터 연산을 효율적으로 처리하기 위하여 사용된다. 그러나 적분영상은 입력영상보다 3배 이상 많은 메모리를 소모하기 때문에, 메모리 자원이 제한적인 하드웨어 설계 환경에서는 사용이 어렵다. 본 논문에서는 효율적인 메모리 사용을 위한 적분영상 하드웨어 설계 방법을 제안한다. 해당 방법은 적분영상 이외에 세로적분영상과 가로적분영상을 생성하고, 입력영상을 재사용 하는 방법을 사용한다. 그리고 박스 필터의 크기에 따라 modulo 연산을 적용하여 적분영상의 데이터 크기를 줄이는 방법을 함께 적용하였다. 적분 영상 데이터를 읽기 위해 나누어진 영상 데이터를 다시 덧셈해야하는 연산 오버헤드가 발생하지만, 4개의 데이터를 단순히 더하는 연산이므로 병렬처리가 가능한 하드웨어 환경에서는 큰 영향을 미치지 않는다. Xilinx사의 Virtex5-LX330T를 대상으로 실험한 결과 $640{\times}480$ 크기의 8bit gray-scale 입력영상에서 최대 $32{\times}32$ 크기의 필터사용을 기준으로 50%의 적분영상 메모리를 감소시킬 수 있다.

Comparison of Force Calculation Methods in 2D and 3D Finite Element Method

  • Yan Xiuke;Koh, Chang-Seop;Ryu, Jae-Seop;Xie Dexin
    • KIEE International Transaction on Electrical Machinery and Energy Conversion Systems
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    • 제11B권4호
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    • pp.137-145
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    • 2001
  • The magnetic force calculation methods, the Maxwell's stress tensor method, virtual work method, and nodal force method, are reviewed and the equivalence of them are theoretically proved. The methods are applied to the magnetic force calculation of 2D linear and nonlinear problems, and 3D nonlinear problem. As the results, the convergence of the methods as the number of elements increases, accuracy of the methods, and integral path dependence of the methods are discussed. Finally some recommendations on the usage of the methods, including the determination of the integral path, are given.

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Flapwise and non-local bending vibration of the rotating beams

  • Mohammadnejad, Mehrdad;Saffari, Hamed
    • Structural Engineering and Mechanics
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    • 제72권2호
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    • pp.229-244
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    • 2019
  • Weak form integral equations are developed to investigate the flapwise bending vibration of the rotating beams. Rayleigh and Eringen nonlocal elasticity theories are used to investigate the rotatory inertia and Size-dependency effects on the flapwise bending vibration of the rotating cantilever beams, respectively. Through repetitive integrations, the governing partial differential equations are converted into weak form integral equations. The novelty of the presented approach is the approximation of the mode shape function by a power series which converts the equations into solvable one. Substitution of the power series into weak form integral equations results in a system of linear algebraic equations. The natural frequencies are determined by calculation of the non-trivial solution for resulting system of equations. Accuracy of the proposed method is verified through several numerical examples, in which the influence of the geometry properties, rotatory inertia, rotational speed, taper ratio and size-dependency are investigated on the natural frequencies of the rotating beam. Application of the weak form integral equations has made the solution simpler and shorter in the mathematical process. Presented relations can be used to obtain a close-form solution for quick calculation of the first five natural frequencies of the beams with flapwise vibration and non-local effects. The analysis results are compared with those obtained from other available published references.

The calculation of stress intensity factors by the surface integral method

  • Jin, Chi-Sub;Jang, Heui-Suk;Choi, Hyun-Tae
    • Structural Engineering and Mechanics
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    • 제3권6호
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    • pp.541-553
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    • 1995
  • The determination of the stress intensity factors is investigated by using the surface integral defined around the crack tip of the structure. In this work, the integral method is derived naturally from the standard path integral J. But the use of the surface integral is also extended to the case where body forces act. Computer program for obtaining the stress intensity factors $K_I$ and $K_{II}$ is developed, which prepares input variables from the result of the conventional finite element analysis. This paper provides a parabolic smooth curve function. By the use of the function and conventional element meshes in which the aspect ratio (element length at the crack tip/crack length) is about 25 percent, relatively accurate $K_I$ and K_{II}$ values can be obtained for the outer integral radius ranging from 1/3 to 1 of the crack length and for inner one zero.

J-integral calculation by domain integral technique using adaptive finite element method

  • Phongthanapanich, Sutthisak;Potjananapasiri, Kobsak;Dechaumphai, Pramote
    • Structural Engineering and Mechanics
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    • 제28권4호
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    • pp.461-477
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    • 2008
  • An adaptive finite element method for analyzing two-dimensional and axisymmetric nonlinear elastic fracture mechanics problems with cracks is presented. The J-integral is used as a parameter to characterize the severity of stresses and deformation near crack tips. The domain integral technique, for which all relevant quantities are integrated over any arbitrary element areas around the crack tips, is utilized as the J-integral solution scheme with 9-node degenerated crack tip elements. The solution accuracy is further improved by incorporating an error estimation procedure onto a remeshing algorithm with a solution mapping scheme to resume the analysis at a particular load level after the adaptive remeshing technique has been applied. Several benchmark problems are analyzed to evaluate the efficiency of the combined domain integral technique and the adaptive finite element method.