• Title/Summary/Keyword: generalized uniform

Search Result 134, Processing Time 0.017 seconds

Structural Analysis of Two-dimensional Continuum by Finite Element Method (유한요소법에 의한 이차원연속체의 구조해석)

  • 이재영;고재군
    • Magazine of the Korean Society of Agricultural Engineers
    • /
    • v.22 no.2
    • /
    • pp.83-100
    • /
    • 1980
  • This study was intended to computerize the structural analysis of two-dimensional continuum by finite element method, and to provide a preparatory basis for more sophisticated and more generalized computer programs of this kind. A computer program, applicable to any shape of two-dimensional continuum, was formulated on the basis of 16-degree-of- freedom rectangular element. Various computational aspects pertaining to the implementation of finite element method were reviewed and settled in the course of programming. The validity of the program was checked through several case studies. To assess the accuracy and the convergence characteristics of the method, the results computed by the program were compared with solutions by other methods, namely the analytical Navier's method and the framework method. Through actual programming and analysis of the computed results, the following facts were recognized; 1) The stiffness matrix should necessarily be assembled in a condensed form in order to make it possible to discretize the continuum into practically adequate number of elements without using back-up storage. 2) For minimization of solution time, in-core solution of the equilibrium equation is essential. LDLT decomposition is recommended for stiffness matrices condensed by the compacted column storage scheme. 3) As for rectangular plates, the finite element method shows better performances both in the accuracy and in the rate of convergence than the framework method. As the number of elements increases, the error of the finite element method approaches around 1%. 4) Regardless of the structural shape, there is a uniform tendency in convergence characteristics dependent on the shape of element. Square elements show the best performance. 5) The accuracy of computation is independent of the interpolation function selected.

  • PDF

A Study on the Profile Design of Sweeping Auger for the Combined Grain Drying and Storage System (일체형 곡물 건조/저장 시스템 개발을 위한 나선형 배출기구의 가변 단면 형상 설계에 관한 연구)

  • Choi, Kab-Yong;Oh, Tae-Il;Shin, Sung-Ho
    • Journal of the Korea Academia-Industrial cooperation Society
    • /
    • v.10 no.7
    • /
    • pp.1473-1479
    • /
    • 2009
  • This study have been carried out as a part of R&D project to develop a low cost high efficiency combined grain drying & storage system. The design of sweeping auger must meet the various conditions : capacity and dimensions of silo, discharging capacity of auger, operation conditions of auger such as revolution and rotation and density of grains and even the first-in & first-out of grains in the system. Through the experimental observations with the apparatus which enables the direct observation of discharging behavior of grains, the limitations of the performance of existing straight type auger was observed. Generalized mathematical model for the profile of new variable section sweeping auger was obtained, which ensures the uniform descending of grains and also meets various operating conditions. The experimental results with a prototype sweeping auger showed that the mathematical model for the variable section sweeping auger was quitely correct.

Three-Dimensional Numerical Simulation of Impacts of Urbanization on Groundwater Flow and Salt Transport in a Coastal Aquifer, Suyeong-Gu, Busan, Korea (한국 부산광역시 수영구 지역 해안 대수층 내의 지하수 유동 및 염분 이동에 대한 도시화의 영향 삼차원 수치 모의)

  • Cho, Hyeon-Jo;Kim, Jun-Mo
    • Journal of Soil and Groundwater Environment
    • /
    • v.14 no.6
    • /
    • pp.1-18
    • /
    • 2009
  • A series of three-dimensional numerical simulations using a generalized multidimensional hydrodynamic dispersion numerical model is performed to simulate effectively and to evaluate quantitatively impacts of urbanization on density-dependent groundwater flow and salt transport in a coastal aquifer system, Suyeong-Gu, Busan, Korea. A series of steady-state numerical simulations of groundwater flow and salt transport before urbanization with material properties of geologic formations, which are established by numerical modeling calibrations considering all the urbanization factors, is performed first without considering all the urbanization factors. A series of transient-state numerical simulations of groundwater flow and salt transport after urbanization is then performed considering the urbanization factors individually and all together. Finally, the results of both numerical simulations are compared with each other and analyzed. The results of the numerical simulations show that density-dependent groundwater flow, salt transport, and seawater intrusion in the coastal aquifer system are intensively and extensively impacted by the urbanization factors. Especially, these urbanization factors result in the changes of the total groundwater volume and salt mass in the coastal aquifer system. However, such impacts of each urbanization factor are not spatially uniform but locally different.

A Dose Volume Histogram Analyzer Program for External Beam Radiotherapy (방사선치료 관련 연구를 위한 선량 체적 히스토그램 분석 프로그램 개발)

  • Kim, Jin-Sung;Yoon, Myong-Geun;Park, Sung-Yong;Shin, Jung-Suk;Shin, Eun-Hyuk;Ju, Sang-Gyu;Han, Young-Yih;Ahn, Yong-Chan
    • Radiation Oncology Journal
    • /
    • v.27 no.4
    • /
    • pp.240-248
    • /
    • 2009
  • Purpose: To provide a simple research tool that may be used to analyze a dose volume histogram from different radiation therapy planning systems for NTCP (Normal Tissue Complication Probability), OED (Organ Equivalent Dose) and so on. Materials and Metohds: A high-level computing language was chosen to implement Niemierko's EUD, Lyman-Kutcher-Burman model's NTCP, and OED. The requirements for treatment planning analysis were defined and the procedure, using a developed GUI based program, was described with figures. The calculated data, including volume at a dose, dose at a volume, EUD, and NTCP were evaluated by a commercial radiation therapy planning system, Pinnacle (Philips, Madison, WI, USA) for comparison. Results: The volume at a special dose and a dose absorbed in a volume on a dose volume histogram were successfully extracted using DVH data of several radiation planning systems. EUD, NTCP and OED were successfully calculated using DVH data and some required parameters in the literature. Conclusion: A simple DVH analyzer program was developed and has proven to be a useful research tool for radiation therapy.