• 제목/요약/키워드: finite difference coefficient

검색결과 188건 처리시간 0.025초

현시적 유한차분법을 이용한 볼나사 시스템의 열해석 (Thermal Analysis of Ballscrew Systems by Explicit Finite Difference Method)

  • 민복기;박천홍;정성종
    • 대한기계학회논문집A
    • /
    • 제40권1호
    • /
    • pp.41-51
    • /
    • 2016
  • 볼나사 시스템은 볼과 그루브 사이에서 발생하는 마찰에 의해 온도가 상승하며, 이에 따른 열변형이 이송계의 위치결정 정도를 저하시킨다. 이를 보상하기 위해서는 볼나사 온도분포의 우선적 예측이 필요하다. 본 논문에서는 나사축 회전속도에 따른 온도분포를 해석하기 위해 볼나사 축과 너트를 각각 실린더와 중공 실린더로 가정한다. 경계조건인 대류 열전달계수, 볼과 그루브에서 발생하는 마찰토크와 접촉열전도를 볼나사 운전 및 조립 조건에 대하여 정식화 한다. 그리고, 현시적 유한차분법을 적용한 온도 분포 예측 시뮬레이터를 개발하고 그 유용성을 검증한다.

대류확산문제의 유한요소해석을 위한 Line-by-Line 해법 (A Line-by-Line Technique for Convection-diffusion Problem Implementing Finite Element Method)

  • 유재석
    • 설비공학논문집
    • /
    • 제3권2호
    • /
    • pp.97-102
    • /
    • 1991
  • Finite element method has been developed recently for the solution of the convection-diffusion problems. Finite element method has several advantages over finite difference method, but its requirement of the larger memory size of the computer has prevented from wide application. In the present study, line-by-line technique has been implemented to finite element method to overcome this disadvantage. Two dimensional laminar natural convection in square cavity was chosen as an example in this study. The numerical result shows good agreement with bench mark solution and the size of the coefficient marix has been reduced drastically.

  • PDF

Finite Element Analysis of the Inclined Subsurface Cracks in a Homogeneous Body Under a Moving Compressive Load

  • Lee, Kyung-Sick;Chung, Gyu-Sung
    • KSTLE International Journal
    • /
    • 제5권1호
    • /
    • pp.7-13
    • /
    • 2004
  • The inclined subsurface cracks in a homogeneous body subjected to a moving compressive load is analyzed with the finite element method (FEM) considering friction on the crack surface. The stress intensity factors for the inclined subsurface cracks are evaluated numerically for various cases such as different inclined angles and changes in the coefficient of friction. The effects of the inclined angle and the coefficient of friction on the stress intensity factor are discussed. The difference between the behaviors of the parallel subsurface crack and those of the inclined subsurface crack is also examined.

회전 실린더의 스프레이 분사 냉각에 관한 열전달 연구 (Cooling Heat Transfer from a Rotating Roll by Impinging Water Spray Jets)

  • 이필종;최호;이승홍
    • 대한기계학회논문집B
    • /
    • 제26권6호
    • /
    • pp.779-787
    • /
    • 2002
  • The cooling heat transfer by impinging water spray jets on a rotating roll with a relatively large diameter has been investigated under various experimental conditions with 3 different sizes of flat type nozzle. The local heat transfer coefficients were calculated by finite difference method using measured surface temperatures of the circular cylinder as boundary conditions. Results show that a peak value of the heat transfer coefficient is located at the center of sprayed area and there may be a secondary peak at the downstream. The average heat transfer coefficients on the sprayed area were found to be 10 to 22 ㎾/$m^2$$^{\circ}C$, and were not related to spraying pressure, but approximately linearly to flow rate of sprayed water. Also it is found that increasing the distance from roll to nozzle could improve the cooling efficiency by increasing the sprayed area.

점적관개에 따른 토양수분 재분배 균일성 평가 (Uniformity Assessment of Soil Moisture Redistribution for Drip Irrigation)

  • 최순군;최진용;남원호;허승오;김학진;정선옥;한경화
    • 한국농공학회논문집
    • /
    • 제54권3호
    • /
    • pp.19-28
    • /
    • 2012
  • Greenhouse cultivation has been increasing for high quality and four season crop production in South Korea. For the cultivation in a greenhouse, maintaining adequate soil moisture at each crop growth stage is quite important for yield stability and quality while the behavior of moisture movement in the soil has complexity and adequate moisture conditions for crops are vary. Drip irrigation systems have been disseminated in the greenhouse cultivation due to advantages including irrigation convenience and efficiency without savvy consideration of the soil moisture redistribution. This study aims to evaluate soil moisture movement of drip irrigation according to the soil moisture uniformity assessment. Richards equation and finite difference scheme were adapted to simulate soil moisture behavior in soil. Soil container experiment was conducted and the model was validated using the data from the experiment. Two discharge rate (1 ${\ell}/hr$ and 2 ${\ell}/hr$) and three spaces between the emitters (10 cm, 20 cm, and 30 cm) were used for irrigation system evaluation. Christiansen uniformity coefficient was also calculated to assess soil moisture redistribution uniformity. The results would propose design guidelines for drip irrigation system installation in the greenhouse cultivation.

원판(圓板)의 열판건조(熱板乾燥)에서 컴퓨터 시뮬레이션에 의한 내부온도(內部溫度)와 함수율(含水率) 분포모형(分布模型) (Distribution Model Based on Computer Simulation for Internal Temperature and Moisture Content in Press Drying of Tree Disks)

  • 여환명;정희석
    • Journal of the Korean Wood Science and Technology
    • /
    • 제22권2호
    • /
    • pp.61-70
    • /
    • 1994
  • This study was executed to find the applicability of press drying of tree disk by investigating the shrinkage and drying defect and to form appropriate model by comparing the actual moisture content(MC) and internal temperature in respect of drying time with calculated values based computer simulation to which was applied finite difference method. In press drying disk, heating period, constant drying rate period maintained plateau temperature at 100$^{\circ}C$ and falling drying rate period were significantly distinguished. Actual MC and internal temperature were analogous to those calculated at comparing points. Heat transfer model formed by Fourier's law using specific heat of moist wood and conduction coefficient considering fractional volume of each element of wood cell wall, bound water, free water and air showed applicability as basic data to developing heat expansion, shrinkage and drying stress during press drying. Also mass transfer model formed by Fick's diffusion law using water vapor diffusion coefficient showed applicability. Longitudinal shrinkage was developed by pressure of hot press and tangential shrinkage was restrained by hygrothermal recovery. The heart check, surface check and ring failure were occurred differently in species, but V-shaped crack didn't develop.

  • PDF

FINITE-DIFFERENCE BISECTION ALGORITHMS FOR FREE BOUNDARIES OF AMERICAN OPTIONS

  • Kang, Sunbu;Kim, Taekkeun;Kwon, Yonghoon
    • Journal of the Korean Society for Industrial and Applied Mathematics
    • /
    • 제19권1호
    • /
    • pp.1-21
    • /
    • 2015
  • This paper presents two algorithms based on the Jamshidian equation which is from the Black-Scholes partial differential equation. The first algorithm is for American call options and the second one is for American put options. They compute numerically free boundary and then option price, iteratively, because the free boundary and the option price are coupled implicitly. By the upwind finite-difference scheme, we discretize the Jamshidian equation with respect to asset variable s and set up a linear system whose solution is an approximation to the option value. Using the property that the coefficient matrix of this linear system is an M-matrix, we prove several theorems in order to formulate a bisection method, which generates a sequence of intervals converging to the fixed interval containing the free boundary value with error bound h. These algorithms have the accuracy of O(k + h), where k and h are step sizes of variables t and s, respectively. We prove that they are unconditionally stable. We applied our algorithms for a series of numerical experiments and compared them with other algorithms. Our algorithms are efficient and applicable to options with such constraints as r > d, $r{\leq}d$, long-time or short-time maturity T.

有限差分法을 利용한 油壓管路의 特性에 관한 硏究 (A Study on Dynamic Characteristics of Hydraulic Transmission Line by Finite Difference Method)

  • 오철환;정선국;송창섭
    • 대한기계학회논문집
    • /
    • 제10권1호
    • /
    • pp.15-24
    • /
    • 1986
  • 본 논문에서는 특성유선해법에 의하여 각 방정식을 유한착분방정식으로 변환 하고 이를 유압시스템에 사용하기 위하여 유압회로의 일반적인 요소인 서어보밸브, 방향제어밸브, 유압모우터, 실린더, 릴리이프 밸브, 필터등이 회로내에 연결되어 있는 경우에 대하여 해석할 수 있는 프로그램을 짜고 유압시스템에서 발생하는 압력 및 유량의 속도현상을 예측할 수 있도록 하였다. 프로그램의 정확도를 판단하기 위하여 계산결과와 실험결과를 비교하였으며 압력과도현상에 미치는 요소인 부하의 크기, 관로의 재질, 관로의 길이, 밸브의 개별시간, 액튜에이터 입구측과 출구측 사이에 바이패스밸브의 설치효과에 대하여 연구하였다.

하천 오염물질의 모의를 위한 프랙탈 이송확산방정식의 해석적 유도 (The Analytical Derivation of the Fractal Advection-Diffusion Equation for Modeling Solute Transport in Rivers)

  • 김상단;송미영
    • 한국수자원학회논문집
    • /
    • 제37권11호
    • /
    • pp.889-896
    • /
    • 2004
  • 프랙탈 이송확산방정식은 정수 차수의 미분연산자로 구성된 고전적인 이송확산방정식과 비교하여 프랙탈 차수의 미분연산자로 구성된 보다 상위개념의 방정식으로써 정의된다. 지금까지의 프랙탈 이송확산방정식은 추계학적인 기법을 동원하여 푸리에-라플라스 공간에서 주로 해석되었으나, 본 연구에서는 실제 공간에서 유한차분개념을 도입하여 보다 직접적으로 하천에서의 오염물 이송확산에 관한 지배방정식을 유도하였다. 이러한 개념의 유도방법은 프랙탈 차수 및 관련 확산계수의 물리적인 추정에 관한 실마리를 제공할 수 있다. 고전적인 이송확산방정식과는 달리 프랙탈 이송확산방정식은 실제 하천에서 관측되는 오염물의 시간-농도 분포곡선의 왜곡현상과 분포곡선의 전후방부 농도를 보다 실제에 가깝게 모의할 수 있을 것으로 기대되어진다.

미끄럼현상을 갖는 입자충전 플라스틱재료의 압출공정 수치해석 (Numerical Analysis of Extrusion Processes of Particle Filled Plastic Materials Subject to Slip at the Wall)

  • 김시조;권태헌
    • 대한기계학회논문집
    • /
    • 제18권10호
    • /
    • pp.2585-2596
    • /
    • 1994
  • Many particle filled materials like Poweder/Binder mixtures for poweder injection moldings, have complicated rheological behaviors such as an yield stress and slip phenomena. In the present study, numerical simulation programs via a finite element method and a finite difference method were developed for the quasi-three-dimensional flows and the two-dimensional flow models, respectively, with the slip phenomena taken into account in terms of a slip velocity. In order to qualitatively understand the slip effects, typical numerical results such as vector plots, pressure contours in the cross-channel plane, and isovelocity controus for the down-channel direction were discussed with respect to various slip coefficients. Slip velocities along the boudary surfaces were also investigated to find the effects of the slip coefficient and processing conditions on the overall flow behavior. Based on extensive numerical calculations varying the slip coefficients, pressure gradient, aspect ratio, and power law index, the screw characteristics of the extrusion process were studied in particular with comparisons between the slip model and non-slip model.