• Title/Summary/Keyword: 직접적분법

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Optimal Positioning of Heating Lines in a Compression Molding Die Using the Boundary Element Method (경계요소법을 이용한 압축성형다이 가열선의 최적위치 설계)

  • 이부윤;조종래
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.6
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    • pp.1478-1485
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    • 1993
  • A shape optimization problem is formulated to determine the optimal position of heating lines in a compression molding die. The objective of the problem is that the cavity surface would be maintained by a prescribed uniform temperature. A boundary integral equation for the sensitivity of the temperature in terms of hole position is derived using the method of shape design sensitivity analysis. The boundary element method is employed to analyze the temperature and sensitivity field of the die. The sensitivity calculation algorithm is incorporated in an optimization routine. To demonstrate a numerical implementation, an example problem arising in thermal design of a compression molding die is dealt with, showing that the number of heating lines chosen for the die strongly affects the ultimate uniformity of the cavity surface temperature.

Simulation of Seismic Ground Accelerations and Seismic Analysis of Flexible Rotor-Bearing System Housed on the Rigid Base (지반가속도의 시뮬레이션과 강기반상(剛基盤上)에 설치된 회전측-베어링계의 지진해석)

  • Kim, Ki Bong
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.9 no.4
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    • pp.51-61
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    • 1989
  • The classical spectral analysis of random vibration is not applicable to the random vibration of nonlinear structures or the dynamic response of active mechanical systems whose governing equations contain random parametric and inhomogeneous excitations. If the random load is simulated, dynamic responses can be obtained with the application of numerical integration schemes to the governing equations of above problems. Thus, in this paper, efficient and practical methods of simulating nonstationary random seismic ground accelerations are presented by using the fast Fourier transform technique. Typical applications of the simulated ground accelerations are the simulations of the dynamic response of rotor-bearing systems under earthquake excitations. The study of accuracy is presented to determine the applicability and practicality of methods of simulation.

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Dynamic response analysis of vertical pumps (입형펌프의 동적 응답해석)

  • 양보석;김원철;임우섭;권명래
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.13 no.3
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    • pp.362-372
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    • 1989
  • It is important in design of vertical pumps to consider external excitation in addition to rotor vibration due to unbalance. In this study, a model of a vertical pump was developed for the analysis of its dynamic response. The vertical pump was modeled with lumped masses and springs which represent multi-cylindrical and rotor structure. A dynamic simulation program was developed and numerical calculation on the above mentioned problems were carried out.

Nonlinear Motion Analysis of FPSO with Turret Mooring System (터렛계류된 FPSO의 비선형 운동 해석)

  • Lim, Choon-Gyu;Lee, Ho-Young
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2002.10a
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    • pp.161-166
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    • 2002
  • As offshore oil fields move towards the deep ocean, the oil production systems such as FPSO are being built these days. Generally, the FPSO is moored by turret mooring lines to keep the position of FPSO. Thus nonlinear motion analysis of moored FPSO must be carried out in the initial design stage because sea environments affect motion of it. In this paper the mathematical model is based on the slow motion maneuvering equations in the horizontal plane considering wave, current and wind forces. The direct integration method is employed to estimate wave loads. The current forces are calculated by using mathematical model of MMG. The turret mooring forces are quasi-statically evaluated by using the catenary equation. The coefficients of a model for wind forces are calculated from Isherwood's experimental data and the variation of wind speed is estimated by wind spectrum according to the guidelines of API-RP2A. The nonlinear motions of FPSO are simulated under external forces due to wave, current, wind including mooring forces in time domain.

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Dynamic response of rotor-bearing systems under seismic excitations (지진 하중을 받고 있는 회전축-베어링 시스템의 동적 거동에 관한 연구)

  • 김기봉;김양한
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.12 no.5
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    • pp.992-1002
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    • 1988
  • The dynamic response of rotor-bearing systems subjected to six-component nonststionary earthquake ground accelerations is analyzed. The governing equations of motion for the rotor are derived using Lagrangian approach. The six-component earthquake inputs result in both inhomogeneous and parametric excitations, so that the conventional spectral analysis of random vibration is not applicable. The method of Monte Carlo simulation is utilized to simulate the six-component nonstationary earthquake ground motions and to determine the response statistics of rotor-bearing systems. The significant influences due to rotational motions of seismic base on the overall structural response is demonstrated by a numerical example.

Estimation of the Moving Load Velocity Using Micro Genetic Algorithm (마이크로 유전 알고리즘을 이용한 교통하중의 속도추정)

  • Tak, Moon-Ho;Noh, Myung-Hyun;Park, Tae-Hyo;Park, In-Young
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2009.04a
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    • pp.292-295
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    • 2009
  • 본 논문에서는 평판구조물의 정적 및 동적해석에 사용할 목적으로 성능이 향상된 평판유한요소를 제시하였다. 이 요소는 비적합변위형과 선택적 감차적분방법 그리고 대체전단변형률장을 복합적으로 적용하여 각각의 장점들을 포함하는 향상된 거동을 보여주고 있다. 또한 비적합변위형의 적용으로 발생되는 조각시험의 실패 문제점을 해결하기 위하여 직접수정법을 평판유한요소의 개선에 사용하였다. 대표적인 검증문제에 대한 수치해석작업을 통하여 본 연구에서 개발한 요소는 가상적인 제로에너지모드 및 전단잠김현상의 발생과 같은 문제를 나타내지 않음을 알 수 있었다. 특히 찌그러진 형상으로 모형화 한 경우에 있어서도 전단잠김현상이 발생하지 않았다. 본 연구에서 수행한 동적반응해석 시험에 있어서도 이론해와 잘 일치하는 결과를 보여주었다.

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Time Mean Drifting Forces on a Cylinder in Water of Finite Depths -Direct Pressure Integration Method- (유한(有限)깊이의 물에 떠있는 주상체(柱狀體)에 작용(作用)하는 시간평균표류력(時間平均漂流力) -직접압력(直接壓力) 적분법(積分法)-)

  • K.P.,Rhee;K.K.,Lee
    • Bulletin of the Society of Naval Architects of Korea
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    • v.22 no.2
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    • pp.27-34
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    • 1985
  • In this paper, the second order time mean forces acting on the circular cylinder floating on the free surface of a finite water depth are calculated. Under the assumption that fluid is idea and the wave the linear gravity wave, the velocity potential is calculated by the source distribution method, and the second order time mean lateral and vertical drifting forces are calculated by the direct integration of fluid pressures over the immersed body surface. The comparison of the lateral drifting forces with Rhee's results by momentum theorem shows good agreements. And it is shown that the second order time sinkage forces of a floating circular cylinder cross zero for all water depths.

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Dynamic Response Analysis of Stiffened Plates Subjected to Moving Loads (이동하중을 받는 보강판의 동응답해석)

  • 정정훈;정태영
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1992.10a
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    • pp.124-129
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    • 1992
  • 이동 집중력 및 집중질량에 의한 이동하중을 받는 직사각형 보강판에 대하 여 보강재효과집중 모델링방법에 의거하여 보강판을 등방성 박판 및 보강재 효과를 반영한 등가보요소로 이루어진 판-보 조합체로 유한요소 모델링하고 Newmark의 직접 시간적분법을 이용한 동응답 해석방법을 정식화하였다. 일 련의 수치계산 예를 통하여 본 연구에서 제시한 방법이 이동하중을 받는 보 강판의 동응답 해석문제에 효과적으로 적용될 수 있음을 확인하였다. 아울러 parametric study를 통하여 이동하중이 작용하는 보강판의 동응답특성은 이 동하중의 질량효과를 고려하는 경우와 고려하지 않는 경우 매우 달라지며, 이동하중에 의한 동적응답은 이동속도가 증가할수록 정하중에 의한 응답보 다 증폭되어 나타나고 증폭비율이 질량효과를 고려할 경우 훨씬 더 커짐을 확인하였다.

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A Study on the Collapse of Spherical bubbles in Maxwell Fluids of Differential Model (미분형 Maxwell 유체내 구형기포의 수축에 관한연구)

  • 김종엽
    • The Korean Journal of Rheology
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    • v.3 no.1
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    • pp.47-55
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    • 1991
  • 본 연구에서는 구형기포가 미분형의 upper convected Maxwell 모델을 따르는 유체 내에서 수축할 때의 현상을 이론적으로 해석하였다. 수치해법으로는 Lagrangian 좌표계에서 지배방정식을 유도 사용함으로써 자연스럽게 자유표면을 추적하는 동시에 압력변수도 반복 에 의하지 않고 직접적인 방법으로 계산할 수 있는 Galerkin-유한요소법을 개발사용하였다. 본연구의 결과 유체의 탄성은 변형초기에 충분히 발달치 못하기 때문에 수축을 가속화시키 지만 수축 후기에는 지연시킴을 알 수 있었다. 수축의 속도는 적분형 Maxwell 유체에서 보 다 빠른 것을 알수 있었는데 이는 유체의 정지이력에 의한 것으로 판단되었다, 또한 Maxwell 유체내에서 기포가 수축할 경우 탄성에 의한 반동현상이 나타나며 반동이 점성에 의하여 감쇄될 때의 진폭과 주기는 비례함을 보였다.

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