• 제목/요약/키워드: Linear formula

검색결과 451건 처리시간 0.025초

시간에 따라 변화는 회전 각속도를 가지는 원통용기내의 스핀업 (Spin-up in a Cylinder with a Time-Dependent Rotation Rate)

  • 김경석;곽호상;현재민
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집E
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    • pp.456-462
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    • 2001
  • Comprehensive numerical computations are made of a homogenous spin-up in a cylindrical cavity with a time-dependent rotation rate. Numerical solutions are acquired to the governing axisymmetric cylindrical Navier-Stokes equation. A rotation rate formula is ${\Omega}_f={\Omega}_i+{\Delta}{\Omega}(1-{\exp}(-t/t_c))$. If $t_c$ is large, it implies that a rotation change rate is small. The Ekman number, E, is set to $10^{-4}$ and the aspect ratio, R/H, fixed to I. For a linear spin-up(${\epsilon}<<$), the major contributor to spin-up in the interior is not viscous-diffusion term but inviscid term, especially Coriolis term, though $t_c$ is very large. The viscous-diffusion term only works near sidewall. But for spin-up from rest, when $t_c$ is very large, viscous-diffusion term affects interior area as well as sidewall, initially. So azimuthal velocity of interior for large $t_c$ appears faster than that of interior for relatively small $t_c$. However, the viscous-diffusion term of interior decreases as time increases. Instead, inviscid term appears in the interior.

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운항조건 및 해상상태가 대형 화물선의 파랑 중 굽힘모멘트에 미치는 영향 (Effects of Operational Condition and Sea States on Wave-Induced Bending Moments of Large Merchant Vessels)

  • 김동문;백점기
    • 대한조선학회논문집
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    • 제40권5호
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    • pp.60-67
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    • 2003
  • For risk or reliability assessment of ship structures against particular hazardous situations such as total loss or sinking due to hull girder collapse, the short-term based response analysis rather than the long-term response analysis is required to determine wave-induced bending moments when the ship encounters a storm of specific duration and with a specified small encounter probability. In the present study, the effects of operational condition and sea states on wave-induced bending moments of large merchant vessels are investigated. A series of the short-term response analyses for a hypothetical VLCC and a Capesize bulk carrier (CSBC) are carried out with varying operational condition and sea states which include ship speed, significant wave height and wave persistence time, using the linear-strip theory based program ABS/SHIPMOTION and the MIT sea-keeping tables. The computed results are also compared with the IACS design formula predictions. The results and insights developed from the present study are summarized.

평형해빈단면 개념을 이용하여 파랑 에너지 유입에 따른 해안선 변동 해석 (Analysis of Shoreline Response due to Wave Energy Incidence Using Equilibrium Beach Profile Concept)

  • 김태곤;이정렬
    • 한국해양공학회지
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    • 제32권2호
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    • pp.116-122
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    • 2018
  • Dean's equilibrium beach profile formula was used to investigate the correlation between the static shoreline position and the incident wave energy. The effect of the longshore sediment transport was neglected, and the results showed the reasonable agreement compared with the field observations of Yates et al.(2009), which were conducted for almost 5 years on southern California beaches, USA. The shoreline response varies with the scale factor of Dean's equilibrium beach profile. This implies that the shoreline response could be simply estimated using the sampled grain size without laborious long-term field work. Therefore, the present study results are expected to be practically used for the layout design of submerged or exposed detached breakwaters although the further work is required for performance verification. In addition, after laborous mathematical reviews, the linear relation between incident energy and shoreline response, which was obtained from Yates's field study, yielded a clear mathematical equation showing how the beach slope is related to the grain size.

비구면 연삭 및 연마를 위한 공구 경로 제어에 관한 연구 (A Study on the Control Method for the Tool Path of Aspherical Surface Grinding and Polishing)

  • 김형태;양해정;김성철
    • 한국정밀공학회지
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    • 제23권1호
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    • pp.113-120
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    • 2006
  • This paper proposed the control algorithm fur aspheric surface grinding and was verified by the experiment. The functions of the algorithm were simultaneous control of the position and interpolation of the aspheric curve. The non-linear formula of the tool position was derived from the aspheric equations and the shape of the tool. The function was partitioned by an certain interval and the control parameters were calculated at each control section. The movement in a session was interpolated with acceleration and velocity. The position error was feed-backed by rotary encorder. The concept of feedback algorithm was correcting position error by increasing or decreasing the speed. In the experiment, two-axis machine was controlled to track the aspheric surface by the proposed algorithm. The effect of the control and process parameters was monitored. The result showed that the maximum tracking error was under sub-micro level for the concave and convex surfaces.

유한요소법을 이용한 만곡수로에서의 2차원 하상변동 수치모형 (2D Finite Element Modeling of Bed Elevation Change in a Curved Channel)

  • 김태범;최성욱;민경덕
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2005년도 학술발표회 논문집
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    • pp.414-418
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    • 2005
  • A finite element model is developed for the numerical simulation of bed elevation change in a curved channel. The SU/PG (Streamline-Upwind/Petrov-Galerkin) method is used to solve 2D shallow water equations and the BG (Bubnov-Galerkin) method is used for the Exner equation. For the time derivative terms, the Crank-Nicolson scheme is used. The developed model is a decoupled model in a sense that the bed elevation does not change simultaneously with the flow during the computational time step. The total load formula with is used for the sediment transport model. The slip conditions are described along the lateral boundaries. The effects of gravity force due to geometry change and the secondary flows in a curved channel are considered in the model. For the verification, the model is applied to two laboratory experiments. The first is $140^{\circ}$ bended channel data at Delft Hydraulics Laboratory and the second is $140^{\circ}$ bended channel data at Laboratory of Fluid Mechanics of the Delft University of Technology. The finite element grid is constructed with linear quadrilateral elements. It is found that the computed results are in good agreement with measured data, showing a point bar at the inner bank and a pool at the outer bank.

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모리슨 항력을 고려한 파랑 중 TLP 거동 특성 연구 (Numerical Study on Wave-Induced Motion Response of Tension Leg Platform in Waves)

  • 조윤상;남보우;홍사영;김진하;김현조
    • 한국해양공학회지
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    • 제28권6호
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    • pp.508-516
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    • 2014
  • A numerical method to investigate the non-linear motion characteristics of a TLP is established. A time domain simulation that includes the memory effect using the convolution integral is used to consider the transient effect of TLP motion. The hydrodynamic coefficients and wave force are calculated using a potential flow model based on the HOBEM(higher order boundary element method). The viscous drag force acting on the platform and tendons is also considered by using Morison’s drag. The results of the present numerical method are compared with experimental data. The focus is the nonlinear effect due to the viscous drag force on the TLP motion. The ringing, springing, and drift motion are due to the drag force based on Morison's formula.

LNG선의 계류 안전성의 평가에 관한 연구 (A Study on the Evaluation of Mooring Safety of LNG Ships)

  • 김세원
    • 한국항해학회지
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    • 제24권5호
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    • pp.373-383
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    • 2000
  • The ship’s safe mooring stability is a principles for the safe cargo handling works at the mooring berth. Today numerous standards, guidelines and recommendations concerning mooring practices, fittings and equipments exist throughout the worldwide maritime industries. In recently, the mooring facilities were constructed as dolphin types at the open sea area apart far from shoreside instead of enclosed coastline area in accordance with increasing ship’s size and for preventing environmental pollution. Therefore the exciting wave condition must be considered as a basic environmental criteria with the wind force and current force for all of the mooring ships at the sea berth facilities. In this study, this added wave force as one of the environmental external forces by using the theoretical formula was applied to the LNG ship in Pyeongtaeg harbor needed the special mooring stability of the sea berth. Through this research, it can be confirmed that wave force is the very important factor in the mooring force and the strength of wave force works much more in the full laden condition than in the lightship condition. And also the wave force changes to non-linear states according to the wave frequency and wave length. In addition, the maximum limit criteria of environmental force of prohibiting the entering ship on the berth and loading works controlled by the port authority concerned of Pyeongtaeg port fully satisfies the condition of the mooring limit force recommended by OCIMF that the safe permitted force of the mooring line have to be within 55 % of MBL.

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2 자유도 병렬 메니퓰레이터의 동적 모델링 (Dynamic Modeling of 2 DOF Parallel Manipulator)

  • 이종규;이상룡;이춘영;양승한
    • 한국정밀공학회지
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    • 제31권10호
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    • pp.897-904
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    • 2014
  • In this paper, two-DOF parallel manipulator has the sliders which execute a linear reciprocating motion depending on parallel guides and the end-effector which can be adjusted arbitrarily. To investigate the dynamic characteristics of the manipulator, the dynamic performance index is used. The index is able to be obtained by the relation between the Jacobian matrix and the inertia matrix. The kinematic and the dynamic analysis find these matrices. Also, the dynamic model of the manipulator is derived from the Lagrange formula. This model represents complicated nonlinear equations of motion. With the simulation results of the dynamic characteristic of the manipulator, we find that the dynamic performance index is based on the selection of the ranges for the continuous movement of the manipulator and the dynamic model derived can be used to the control algorithm development of the manipulator.

굳지 않은 MMA개질 UP 폴리머 콘크리트의 사용가능시간에 미치는 온도와 결합재의 영향 (Effects of Temperature and Binder Components on Working Life of Fresh MMA Modified UP Polymer Concrete)

  • 연정흠;현상훈
    • 한국도로학회논문집
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    • 제14권4호
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    • pp.51-61
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    • 2012
  • PURPOSES : This study deals with the working life of polymer concrete, which is typically used as a repair or overlay material for portland cement concrete pavements. METHODS : In the scope of this study, laboratory testing was conducted on fresh MMA modified UP polymer concrete, which uses an MMA monomer for viscosity adjustment and strength improvement of UP resin. The experimental variables were temperature (-20 to $+20^{\circ}C$) and binder components (MMA, MEKPO, and DMA). RESULTS : The result showed that the optimum binder ratios for polymer concrete production were 12, 11, and 10 wt.% when the MMA contents were 20, 30, and 40 wt.%, respectively. The working life of polymer concrete depending on temperature and binder components could be expressed by a logarithmic functional formula. The coefficient of variation for each binder component was the highest for DMA content while the lowest for MEKPO content. Also, the contents of each binder component for ensuring the working life of 60 minutes were proposed. CONCLUSIONS : Ultimately, the present study derived a linear regression equation estimating 60 minutes working life based on the setting times of each binder component.

병행성 분석을 위한 액션 기반의 LTS 바운드 모델 체커 (An Action-based LTS Bounded Model Checker for Analyzing Concurrency)

  • 박사천;권기현
    • 한국정보과학회논문지:소프트웨어및응용
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    • 제35권9호
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    • pp.529-537
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    • 2008
  • 병행 컴포넌트를 포함하는 소프트웨어는 디버깅하기가 매우 어렵다. 따라서 철저하면서도 자동화된 검증 도구의 사용이 필수적이다. 이러한 도구 개발의 노력 중 하나가 바운드 모델 체킹 도구이다. 바운드 모델 체킹은 주어진 바운드 k 안에서 시스템의 실행 경로에 에러가 존재하는지를 철저히 검사한다. 본 논문에서는 LTS로 모델링 된 병행 프로그램을 검증하는 바운드 모델 체킹 도구를 소개한다. 이 도구에서 속성은 FLTL로 기술되는데 FLTL은 LTS 모델에서 액션을 가지고 속성을 표현하기에 적합하다. 우리는 기존 모델 체커들과의 실험을 통해서 개발된 도구의 성능을 비교분석한다.