• 제목/요약/키워드: Direct Numerical Method

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저류함수형(貯溜凾數型) 비선형(非線型) 수문예측모형(水文豫測模型) (Storage Type Nonlinear Hydrological Forecasting Model)

  • 백운일;윤태훈
    • 대한토목학회논문집
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    • 제2권2호
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    • pp.29-38
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    • 1982
  • 유효강우량(有效降雨量), 섬체시간(暹滯時間) 및 유출(流出)의 비선형(非線型)을 포함하는 비선형(非線型) 수문학적(水文學的) 모형(模型)이 기술(記述)된다. 모형(模型)의 입력자료(入力資料)를 구성하는 유효강우량(有效降雨量)의 산정(算定)은 polynomial fitting 방법(方法)이 이용되었으며 섬체시간(暹滯時間)의 비선형성(非線型性)이 고려된 비선형섬체모형(非線型暹滯模型)을 남한강(南漢江) 상류(上流)에 위치한 섬강유역(蟾江流域)에 적용하여 상수(常數)값을 산정하고 종래의 방법인 fitting 방법(方法) 및 저류함수모형(貯溜凾數模型)에 변형(變型)을 가한 상관모형(相關模型)의 상수(常數)값들과 비교하였다. 각 모형(模型)에서 구한 상수(常數)값의 결과로부터 본연구(本硏究)의 수학적(數學的) 해법(解法)인 연속근사해법(連續近似解法)과 수치해법(數値解法)인 Newton-Rhapson 방법(方法)이 비선형(非線型) 유출과정해석(流出過程解析)에서 종전의 계산도해법(計算圖解法) 등에 비해 우수함이 밝혀졌다.

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Effect of element interaction and material nonlinearity on the ultimate capacity of stainless steel cross-sections

  • Theofanous, M.;Gardner, L.
    • Steel and Composite Structures
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    • 제12권1호
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    • pp.73-92
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    • 2012
  • The effect of element interaction and material nonlinearity on the ultimate capacity of stainless steel plated cross-sections is investigated in this paper. The focus of the research lies in cross-sections failing by local buckling; member instabilities, distortional buckling and interactions thereof with local buckling are not considered. The cross-sections investigated include rectangular hollow sections (RHS), I sections and parallel flange channels (PFC). Based on previous finite element investigations of structural stainless steel stub columns, parametric studies were conducted and the ultimate capacity of the aforementioned cross-sections with a range of element slendernesses and aspect ratios has been obtained. Various design methods, including the effective width approach, the direct strength method (DSM), the continuous strength method (CSM) and a design method based on regression analysis, which accounts for element interaction, were assessed on the basis of the numerical results, and the relative merits and weaknesses of each design approach have been highlighted. Element interaction has been shown to be significant for slender cross-sections, whilst the behaviour of stocky cross-sections is more strongly influenced by the material strain-hardening characteristics. A modification to the continuous strength method has been proposed to allow for the effect of element interaction, which leads to more reliable ultimate capacity predictions. Comparisons with available test data have also been made to demonstrate the enhanced accuracy of the proposed method and its suitability for the treatment of local buckling in stainless steel cross-sections.

Using integrated displacement method to time-history analysis of steel frames with nonlinear flexible connections

  • Hadianfard, M.A.
    • Structural Engineering and Mechanics
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    • 제41권5호
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    • pp.675-689
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    • 2012
  • Most connections of steel structures exhibit flexible behaviour under cyclic loading. The flexible connections can be assumed as nonlinear rotational springs attached to the ends of each beam. The nonlinear behaviour of the connections can be considered by suitable moment-rotation relationship. Time-history analysis by direct integration method can be used as a powerful technique to determine the nonlinear dynamic response of the structure. In conventional numerical integration, the response is evaluated for a series of short time increments. The limitations on the size of time intervals can be removed by using Chen and Robinson improved time history analysis method, in which the integrated displacements are used as the new variables in integrated equation of motion. The proposed method permits longer time intervals and reduces the computational works. In this paper the nonlinearity behaviour of the structure is summarized on the connections, and the step by step improved time-history analysis is used to calculate the dynamic response of the structure. Several numerical calculations which indicate the applicability and advantages of the proposed methodology are presented. These calculations illustrate the importance of the effect of the nonlinear behaviour of the flexible connections in the calculation of the dynamic response of steel frames.

More reliable responses for time integration analyses

  • Soroushian, A.;Farjoodi, J.
    • Structural Engineering and Mechanics
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    • 제16권2호
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    • pp.219-240
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    • 2003
  • One of the most versatile approaches for analyzing the dynamic behavior of structural systems is direct time integration of semi-discrete equations of motion. However responses computed by time integration are generally inexact and hence the corresponding errors would rather be studied in advance. In spite of the various error estimation formulations that exist in the literature, it is accepted practice to repeat the analyses with smaller time steps, followed by a comparison between the results. In this paper, after a review of this simple method and disregarding the round-off errors, a more efficient, reliable and yet simple method for estimating errors and enhancing the accuracy is proposed. The main objectives of this research are more realistic error estimation based on the concept of convergence, approximately controlling the reliability by comparing the actual rate of convergence with the integration method's order of accuracy, and enhancement of reliability by applying Richardson's extrapolation. Starting from the errors at specific time instants, the study is then generalized to cases in which the errors should be estimated and decreased at specific events e.g. peak responses. Numerical study illustrates the efficacy of the proposed method.

강성분포의 변화가 초대형 부유식 구조물의 유탄성응답에 미치는 영향 고찰 (Influences of Stiffness Distributions on Hydroelastic Responses of Very Large floating Structures)

  • 김병완;경조현;홍사영;조석규
    • 대한조선학회논문집
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    • 제42권3호
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    • pp.220-232
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    • 2005
  • Influences of stiffness distributions on hydroelastic responses of very large floating structures (VLFS) are studied in this paper. Hydroelastic responses are calculated by direct method employing higher-order boundary element method (HOBEM) for fluid analysis and finite element method (FEM) for structure analysis. In structural analysis using FEM, Mindlin plate elements are used. An 1 km-long VLFS with uniform stiffness and modified VLFS with varying stiffness distributions are considered in numerical analysis. Responses of VLFS increase in flexible parts and decrease in stiff Parts. Reduction degree of displacements of VLFS with stiffened center is larger than that of VLFS with stiffened sides.

Design of Shielded Encircling Send-Receive Type Pulsed Eddy Current Probe Using Numerical Analysis Method

  • Shin, Young-Kil
    • 비파괴검사학회지
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    • 제33권6호
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    • pp.505-510
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    • 2013
  • An encircling send-receive type pulsed eddy current (PEC) probe is designed for use in aluminum tube inspection. When bare receive coils located away from the exciter were used, the peak time of the signal did not change although the distance from the exciter increased. This is because the magnetic flux from the exciter coil directly affects the receive coil signal. Therefore, in this work, both the exciter and the sensor coils were shielded in order to reduce the influence of direct flux from the exciter coil. Numerical simulation with the designed shielded encircling PEC probe showed the corresponding increase of the peak time as the sensor distance increased. Ferrite and carbon steel shields were compared and results of the ferrite shielding showed a slightly stronger peak value and a quicker peak time than those of the carbon steel shielding. Simulation results showed that the peak value increased as the defect size (such as depth and length) increased regardless of the sensor location. To decide a proper sensor location, the sensitivity of the peak value to defect size variation was investigated and found that the normalized peak value was more sensitive to defect size variation when the sensor was located closer to the exciter.

전동차용 Blow-Down HVAC 덕트 시스템의 유동 균일도 향상을 위한 수치적 연구 (Numerical Study to Improve the Flow Uniformity of Blow-Down HVAC Duct System for a Train)

  • 김준형;노주현
    • 한국유체기계학회 논문집
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    • 제19권1호
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    • pp.18-23
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    • 2016
  • A HVAC(Heating Ventilation and Air Conditioning) is adapted to increase the comfort of the cabin environment for train. The train HVAC duct system has very long duct and many outlets due to the shape of a train set. the duct cross section shape is limited by a roof structure and equipments. Therefore, the pressure distribution and flow uniformity is an important performance indicator for the duct system. In this study, the existing blow down type HVAC duct system for a train was supplemented to improve the flow uniformity by applying a design method combining design of experiment (DOE) with numerical analysis. The design variables and the test sets were selected and the performance for each test set was evaluated using CFD(Computational Fluid Dynamics). The influence of each design variable on the system performance was analysed based on the results of the performance evaluation on the test sets. Furthermore, the optimized model, whose the flow uniformity was improved was produced using the direct optimization(gradient-based method). Finally, the performance of the optimized model was evaluated using numerical analysis, and it was confirmed that its flow uniformity has indeed improved.

몰수심도가 작은 고속 수중익 주위의 유동장에 대한 수치계산 (Numerical Study on Flow Field around High Speed Hydrofoil with Shallow Submergence)

  • 이승준;이정무
    • 대한조선학회논문집
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    • 제41권5호
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    • pp.8-13
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    • 2004
  • In order to better understand the characteristics of the flow field around the submerged hydrofoil of finite span with high speed and shallow submergence. a numerical code which can solve the flow around a fast lifting body under the free surface was developed and used to obtain various interesting features of the flow. The code was based on the panel method of Hess( 1972), and the free surface condition was linearized to conform with the assumption of the high Froude number. It is shown that the effect of the change of submerged depth. angle of attack and aspect ratio upon the sectional lift coefficient is rather significant for the case of the chosen example wing, which has the rectangular planform. Since Lee(2002)'s theoretical results were for the wing of elliptical planform, the direct comparison of the two results was not possible. It seems that more computational results are in need to compare the theoretical and the numerical prediction in detail.

Aggregation multigrid method for schur complement system in FE analysis of continuum elements

  • Ko, Jin-Hwan;Lee, Byung Chai
    • Structural Engineering and Mechanics
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    • 제30권4호
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    • pp.467-480
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    • 2008
  • An aggregation multigrid method (AMM) is a leading iterative solver in solid mechanics. Recently, AMM is applied for solving Schur Complement system in the FE analysis of shell structures. In this work, an extended application of AMM for solving Schur Complement system in the FE analysis of continuum elements is presented. Further, the performance of the proposed AMM in multiple load cases, which is a challenging problem for an iterative solver, is studied. The proposed method is developed by combining the substructuring and the multigrid methods. The substructuring method avoids factorizing the full-size matrix of an original system and the multigrid method gives near-optimal convergence. This method is demonstrated for the FE analysis of several elastostatic problems. The numerical results show better performance by the proposed method as compared to the preconditioned conjugate gradient method. The smaller computational cost for the iterative procedure of the proposed method gives a good alternative to a direct solver in large systems with multiple load cases.

모선전압 변화율을 고려한 안정도 해석법에 관한 연구 (A Study on the Stability Analysis Method Considering Bus Voltage Derivatives)

  • 김춘현;박영문
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1993년도 하계학술대회 논문집 A
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    • pp.90-92
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    • 1993
  • Stability analysis is an essential work in the operation and planning of power system. There are two categories, direct method and indirect method, and indirect method calculates the trajectories of states by numerical methods. Popular method using explicit integration has relatively low accuracy, so a more accurate method is requested. By the consideration of bus voltage variation, Runge-Kutta 4th order method can be made more accurate, but this scheme need much computation time. Through three recipes, computational cost of proposed method can be reduced. So the proposed method has improved accuracy and slight rise in cost. the method was tested on the IEEE 14 bus system.

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