• Title/Summary/Keyword: path integral

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동적(動的)에너지 방출율(放出率)의 수치해석(數値解析)을 위한 체적적분식(體積積分式) (Volume Integral Expressions for Numerical Computation of the Dynamic Energy Release Rate)

  • 고현무
    • 대한토목학회논문집
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    • 제9권3호
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    • pp.65-73
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    • 1989
  • 응력파의 영향을 받는 균열의 동적응력확대계수를 구하기 위해 동적에너지방출율에 관한 명시적인 표현식을 유도하고, 이를 이용하여 유한요소법에 적합한 수치계산방법을 제시한다. 새로운 운동학적 기술방법과 균열의 가상증분을 이용하여 균열선단의 유한한 영역에서 정의되는 체적적분식을 연속체 역학적인 정식화를 통하여 구하고, 이의 수치적분 유한영역의 모델링에 사용된 등매개변수특이요소 내에서 특이성을 만족하는 적합조건하에서 수행된다. 본 방법은 경로적분식을 이용하는 기존 방법들에 비해 보다 정확하고 안정된 결과를 제공하고 동시에 응력파의 영향을 적시에 조사할 수 있으며, 본 방법에 의해 개발된 유한요소모듈은 기존의 동적응력 해석프로그램에 용이하게 연결 설치할 수 있음을 보인다.

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AN EVALUATION OF THE APERIODIC AND FLUCTUATING INSTABILITIES FOR THE PASSIVE RESIDUAL HEAT REMOVAL SYSTEM OF AN INTEGRAL REACTOR

  • Kang Han-Ok;Lee Yong-Ho;Yoon Ju-Hyeon
    • Nuclear Engineering and Technology
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    • 제38권4호
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    • pp.343-352
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    • 2006
  • Convenient analytical tools for evaluation of the aperiodic and the fluctuating instabilities of the passive residual heat removal system (PRHRS) of an integral reactor are developed and results are discussed from the viewpoint of the system design. First, a static model for the aperiodic instability using the system hydraulic loss relation and the downcomer feedwater heating equations is developed. The calculated hydraulic relation between the pressure drop and the feedwater flow rate shows that several static states can exist with various numbers of water-mode feedwater module pipes. It is shown that the most probable state can exist by basic physical reasoning, that there is no flow rate through the steam-mode feedwater module pipes. Second, a dynamic model for the fluctuating instability due to steam generation retardation in the steam generator and the dynamic interaction of two compressible volumes, that is, the steam volume of the main steam pipe lines and the gas volume of the compensating tank is formulated and the D-decomposition method is applied after linearization of the governing equations. The results show that the PRHRS becomes stabilized with a smaller volume compensating tank, a larger volume steam space and higher hydraulic resistance of the path $a_{ct}$. Increasing the operating steam pressure has a stabilizing effect. The analytical model and the results obtained from this study will be utilized for PRHRS performance improvement.

시간영역법에 의한 강제동요시 동유체력 해석 (Linear Time Domain Analysis of Radiation Problems)

  • 공인영;이기표
    • 대한조선학회지
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    • 제24권4호
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    • pp.9-18
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    • 1987
  • The hydrodynamic radiation forces acting on a ship travelling in waves have been conventionally treated by strip theories or by direct three dimensional approaches, most of which have been formulated in frequency domain. If the forward speed of a ship varies with time, or if its path is not a straight line, conventional frequency domain analysis can no more be used, and for these cases time domain analysis may be used. In this paper, formulations are made in time domain with applications to some problems the results of which are known in frequency domain. And the results of both domains are compared to show the characteristics and validity of time domain solutions. The radiation forces acting on a three dimensional body within the framework of a linear theory. If the linearity of entire system is assumed, radiation forces due to arbitrary ship motions can be expressed by the convolution integral of the arbitrary motion velocity and the so called impulse response function. Numerical calculations are done for some bodies of simple shapes and Series-60[$C_B=0.7$] ship model. For all cases, integral equation techniques with transient Green's function are used, and velocity or acceleration potentials are obtained as the solution of the integral equations. In liner systems, time domain solutions are related with frequency domain solutions by Fourier transform. Therefore time domain solutions are Fourier transformed by suitable relations and the results are compared with various frequency domain solutions, which show good agreements.

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2차원 선형 탄성 이방성 재료에서 $J_k$-적분을 이용한 응력확대계수 계산 (Calculation of Stress Intensity Factor in 2-D Using $J_k$-Integral for a Rectilinear Elastic Anisotropic Body)

  • 안득만;최창연
    • 한국정밀공학회지
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    • 제18권7호
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    • pp.134-142
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    • 2001
  • The integrals $J_k$(k=1,2) in the rectilinear anisotropis body in 2-D were determined using Lekhnitskii formalism. The relationship between $J_k$ and stress intensity factors are implified by the important equation between elastic compliance. The numerical evaluation of stress intensity factor for the single edge crack in mixed mode is determined by superposing known exact solutions.

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균열을 내재한 회전체의 에너지방출률 (The Energy Release Rate for Cracks in a Rotating Continuum)

  • 이태원
    • 대한기계학회논문집
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    • 제19권2호
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    • pp.330-337
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    • 1995
  • For a rotating body with cracks, the new energy release rate equation is presented. The derived equation is different from the other researcher's results. It is a path-independent integral which excluded the derivatives of displacements near the crack tip, thereby improving the numerical accuracy of the energy release rate computation. Moreover, as the equation was derived on basis of the energy principle and non-linear elasticity without assumptions, it can applied to the cracked body with arbitrary shape under elastic-plastic deformation. Several examples are treated to demonstrate the efficiency and accuracy of the proposed method compared to existing methods.

Prediction of crack trajectory by the boundary element method

  • Bush, M.B.
    • Structural Engineering and Mechanics
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    • 제7권6호
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    • pp.575-588
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    • 1999
  • A boundary element method is applied to the analysis of crack trajectory in materials with complex microstructure, such as discontinuously reinforced composite materials, and systems subjected to complex loading, such as indentation. The path followed by the crack(s) has non-trivial geometry. A study of the stress intensity factors and fracture toughness of such systems must therefore be accompanied by an analysis of crack trajectory. The simulation is achieved using a dual boundary integral method in planar problems, and a single boundary integral method coupled with substructuring in axisymmetric problems. The direction of crack propagation is determined using the maximum mechanical energy release rate criterion. The method is demonstrated by application to (i) a composite material composed of components having the elastic properties of aluminium (matrix) and silicon carbide (reinforcement), and (ii) analysis of contact damage induced by the action of an indenter on brittle materials. The chief advantage of the method is the ease with which problems having complex geometry or loading (giving rise to complex crack trajectories) can be treated.

퍼지 기반 다기준 의사 결정을 이용한 휴머노이드 로봇 걸음새 계획기 (Humanoid Robot Footstep Planner with Fuzzy-Based Multi-Criteria Decision Making)

  • 이기백
    • 한국생산제조학회지
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    • 제24권4호
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    • pp.441-447
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    • 2015
  • This paper proposes a novel fuzzy-based multi-criteria decision making method and implements a footstep planner for humanoid robots with it. Humanoid robots require additional footstep planning process in addition to path planning for the autonomous navigation. Moreover, it is necessary to consider safety and energy consumption as well as path efficiency and multi-criteria decision making is indispensable. The proposed method can provide not only well- distributed and non-dominated, but also more preferable solutions for users. The planned footsteps by the proposed method were verified through simulation. The results indicate that the user's preference is properly reflected in optimized solutions maintaining solution quality.

Nonlinear ship rolling motion subjected to noise excitation

  • Jamnongpipatkul, Arada;Su, Zhiyong;Falzarano, Jeffrey M.
    • Ocean Systems Engineering
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    • 제1권3호
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    • pp.249-261
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    • 2011
  • The stochastic nonlinear dynamic behavior and probability density function of ship rolling are studied using the nonlinear dynamical systems approach and probability theory. The probability density function of the rolling response is evaluated through solving the Fokker Planck Equation using the path integral method based on a Gauss-Legendre interpolation scheme. The time-dependent probability of ship rolling restricted to within the safe domain is provided and capsizing is investigated from the probability point of view. The random differential equation of ships' rolling motion is established considering the nonlinear damping, nonlinear restoring moment, white noise and colored noise wave excitation.

스크류 잭 및 댐퍼를 이용한 가동질량 레일의 평형제어 (The Balancing Control of Moving Mass Rail by a Screw Jack and Damper)

  • 변정환;최명수
    • 동력기계공학회지
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    • 제11권1호
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    • pp.134-139
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    • 2007
  • A delivery ship is used to handle the cargo with the crane to/from the ships. The ship is inclined in the direction of a cargo which is hung on a crane. In this case, a arc shaped rail should be in the equilibrium state to get good anti-rolling performance. In this study, a device and control algorithm are developed to take accurate and quick equilibrium of the rail. The device is composed of a hinged immovable support, screw jack and damper. And the control system is based on I-PD control law to consider of control input saturation and overshoot. The controller is composed of integral controller of feedforward path and proportional-derivative controller of feedback path. The parameters of controller is designed to follow the reference signal and to remove overshoot. The simulation results show that the desirable control performance is achieved.

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이중비용 네트워크에서의 최소비용 극대방향 나무 해법 (A Polynomial Algorithm for the Minimum Spanning Arborescence in Transportation Networks with Bitype Arc Costs)

  • 심현택;박순달
    • 대한산업공학회지
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    • 제16권1호
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    • pp.17-25
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    • 1990
  • Most of the least cost transportation network design problems are frequently formulated as the minimum spanning arborescence problems in directed networks with bitype are costs. These costs are classified whether the arc is included in the path from the root to a specified node over a given spanning arborescence. We prove that this problem is NP-hard, and develop a polynomial time algorithm for acyclic networks. The probelm in acyclic networks is initially formulated as 0-1 integer programming. Next, we prove that the 0-1 relaxed linear programming has an integral optimum solution by complementary slackness conditions. In this paper, we present an $O(n^2)$ algorithm based on a shortest path algorithm.

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