• 제목/요약/키워드: iterative equation

검색결과 322건 처리시간 0.024초

왈쉬 급수를 이용한 새로운 PWM 인버터의 구현 (Realization of a New PWM Inverter Using Walsh Series)

  • 조준익;전병실
    • 대한전자공학회논문지
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    • 제27권10호
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    • pp.124-129
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    • 1990
  • PWM 인버터에서 임의로 선택한 5,7,11차 고조파를 제거할 때, 후리에 급수를 이용하여 비선형 연립방식을 선형 연립방정식으로 바꾸어 점호각을 분석하던 기존의 방법으로부터 새로운 방법을 구현하였다. 후리에 급수를 이용하여 기억소자에 점호각을 look-up 표로 기억시키거나, 또는 점호각 계산 프로그램을 반복 수행하여 점호시각에 트리거하던 기존의 방법으로는 실시간 제어가 곤란하였다. 본 논문에서는 제안된 왈쉬 급수를 이용하여 점호각을 계산하고 하드웨어로 구성하여 입력되는 클럭 주파수만 가변하면, 즉시로 가변된 주파수가 출력되므로 실시간 제어가 가능함을 밝혔다. 또한 Ordered orthogonal 함수를 이용하여 단상회로와 동일한 하드웨어 구성으로 3장 출력이 가능함을 실험을 통하여 확인하였다.

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다중효용 담수설비용 열압축기의 디퓨져 입구부 형상에 관한 연구 (A Study on the Diffuser Inlet Shape of Thermocompressor for MED Desalination Plant)

  • 김창복;송영호;김경근;박기태;정한식;최두열
    • Journal of Advanced Marine Engineering and Technology
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    • 제32권6호
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    • pp.869-876
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    • 2008
  • A thermocompressor is the equipment which compresses a vapor to a desired discharge pressure. Since it was first used as the evacuation pump for a surface condenser, it has been widely adopted for energy saving systems due to its high working confidence. In the present study, the geometrical analysis of the shape between the jet nozzle and the diffuser inlet, the drag force was calculated by means of the integrated equation of motion and the computational fluid dynamic (CFD) package called FLUENT. The computer simulations were performed to investigate the effects by the various suction flow rates, the distance from jet nozzle outlet to the diffuser inlet and the dimensions of the diffuser inlet section through the iterative calculation. In addition, the results from the CFD analysis on the thermocompressor and the experiments were compared for the verification of the CFD results. In the case of a jet nozzle, the results from the CFD analysis showed a good agreement with the experimental results. Furthermore, in this study, a special attention was paid on the performance of the thermocompressor by varying the diffuser convergence angle of $0.0^{\circ}$, $0.5^{\circ}$, $1.0^{\circ}$, $2.0^{\circ}$, $3.5^{\circ}$ and $4.5^{\circ}$. With the increase of the diffuser convergence angle. the suction capacity was improved up to the degree of $1.0^{\circ}$ while it was decreased over the degree of $1.0^{\circ}$.

경계요소법에 의한 2차원 탄소성응력해석 (Two Dimensional Elasto-plastic Stress Analysis by the B.E.M.)

  • 조희찬;김희송
    • 대한기계학회논문집
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    • 제16권4호
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    • pp.621-629
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    • 1992
  • 본 연구에서는 Kelvin의 기본해와 초기응력 증분에 의해 정식화된 경계적분방 정식을 이용하여 점차적으로 외력을 증가시켰을 때, 선형등방경화재에 국부적으로 생 기는 항복영역과 항복하중, 탄소성 응력해석등을 재료비선형문제로 해석하였다. 이 때 초기응력 증분을 결정함에 있어서 종래에는 등가 소성변형률을 수렴판정으로 해석 하였지만, 이는 구분적인 선형 경화재와 온도 의존성 문제에는 적당하지 않으므로 암 기용일등은 등가응력과 응력-변형률 선도를 이용하여 수렴판정을 하였다. 그러나 이 방법은 소성역에서의 기울기가 변화하는 곳에서는 피할 수 없는 오차가 존재한다. 따라서 여기에서는 계산된 초기응력 증분에 의한 초기 탄성변형률에너지 증분과 응력 -변형률선도로 부터 구해지는 초기 탄성변형률에너지 증분을 이용한 수렴판정으로 초 기응력증분을 결정하였다. 또한, 내부영역적분을 일부 해석적인 적분과 수치적분을 병행한 경우와 전부 수치적분방법으로 내압을 받는 실린더와 단순 인장하중이 작용하 는 양편 Ⅴ형 노치를 갖는 박판의 경우에 적용하여 해석하였으며, 그 결과를 유한요소 법 프로그램인 NISA(numerically integrated elements for system analysis)로 구한 결과치와 비교, 고찰하였다.

Geometrically nonlinear dynamic analysis of FG graphene platelets-reinforced nanocomposite cylinder: MLPG method based on a modified nonlinear micromechanical model

  • Rad, Mohammad Hossein Ghadiri;Shahabian, Farzad;Hosseini, Seyed Mahmoud
    • Steel and Composite Structures
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    • 제35권1호
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    • pp.77-92
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    • 2020
  • The present paper outlined a procedure for geometrically nonlinear dynamic analysis of functionally graded graphene platelets-reinforced (GPLR-FG) nanocomposite cylinder subjected to mechanical shock loading. The governing equation of motion for large deformation problems is derived using meshless local Petrov-Galerkin (MLPG) method based on total lagrangian approach. In the MLPG method, the radial point interpolation technique is employed to construct the shape functions. A micromechanical model based on the Halpin-Tsai model and rule of mixture is used for formulation the nonlinear functionally graded distribution of GPLs in polymer matrix of composites. Energy dissipation in analyses of the structure responding to dynamic loads is considered using the Rayleigh damping. The Newmark-Newton/Raphson method which is an incremental-iterative approach is implemented to solve the nonlinear dynamic equations. The results of the proposed method for homogenous material are compared with the finite element ones. A very good agreement is achieved between the MLPG and FEM with very fine meshing. In addition, the results have demonstrated that the MLPG method is more effective method compared with the FEM for very large deformation problems due to avoiding mesh distortion issues. Finally, the effect of GPLs distribution on strength, stiffness and dynamic characteristics of the cylinder are discussed in details. The obtained results show that the distribution of GPLs changed the mechanical properties, so a classification of different types and volume fraction exponent is established. Indeed by comparing the obtained results, the best compromise of nanocomposite cylinder is determined in terms of mechanical and dynamic properties for different load patterns. All these applications have shown that the present MLPG method is very effective for geometrically nonlinear analyses of GPLR-FG nanocomposite cylinder because of vanishing mesh distortion issue in large deformation problems. In addition, since in proposed method the distributed nodes are used for discretization the problem domain (rather than the meshing), modeling the functionally graded media yields to more accurate results.

탄소성 거동의 유한요소해석 후처리 방법 (New Methods of Finite Element Postprocessing for Elasto-Plastic Behavior)

  • 이재영
    • 한국전산구조공학회논문집
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    • 제22권5호
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    • pp.487-499
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    • 2009
  • 컴퓨터의 성능이 향상되고 해석 알고리즘이 개선될수록 유한요소 모델링은 정교해지고 복잡해지는 경향이 있으며, 그에 상응하여 후처리 기술도 다양하게 발전하게 되었다. 이와같이 하드웨어적, 소프트웨어적인 진전을 바탕으로 탄소성해석에서는 더욱 세분화된 단계적 증분과 반복의 중간 계산 결과를 이용하여 탄소성 거동을 관찰하고 분석하는 것이 실용적인 의미를 갖게 되었다. 이 논문은 유한요소해석을 통해서 얻은 계산 결과로 부터 탄소성 재료의 역학적인 거동을 이론적으로 구성하고, 컴퓨터 그래픽스로 가시화하는 새로운 후처리 방법에 관하여 기술하였다. 또한 소성 거동의 진행을 표현하는 새로운 방법과 해석의 중간단계에서 생성된 데이터를 항복곡면과 응력경로의 형태로 재구성하거나 또는 Mohr원과 파괴포락선의 형태로 재구성하여 탄소성 거동을 분석하고 이해하는 방법을 제안하였다.

고정된 직사각형 격자계에서 움직이는 물체주위 자유수면유동 계산을 위한 수치기법의 개발 (A NUMERICAL SIMULATION METHOD FOR FREE SURFACE FLOWS NEAR MOVING BODIES IN A FIXED RECTANGULAR GRID SYSTEM)

  • 정광열;이영길;하윤진
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2011년 춘계학술대회논문집
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    • pp.395-406
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    • 2011
  • In this research a numerical simulation method is developed for moving body in free surface flows using fixed staggered rectangular grid system. The non-linear free surface near the body is defined by marker-density method. The body boundary is defined by line segment connecting the points where the body surface and grid line meet. Continuity equation and Navier-Stokes equations are used as governing equations and the equations are coupled with two-step projection method. The velocities and pressures of body boundary and free surface cells are calculated with simultaneous iterative method. To treat a body movement in a fixed grid system, the volume displaced by moving body is added to the divergence of the body boundary cell. For the verification of the present numerical method. vortex shedding period of advancing cylinder is calculated and the period is compared with existing experiment results. Moreover, added mass and damping coefficients of a vertically excited box are calculated and the computed results are compared with published experiment results. Impulsive pressure and water level variation due to sloshing phenomenon are simulated and the results are compared with published experiment results. Varying the plunger shape, the waves generated by plunging type wave maker are compared with the 2nd order Stokes wave theory The plunger shape generating the wave that shows the best agreement with the theory is represented.

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비압축성 점성유동의 와도와 압력 경계조건 (On the Vorticity and Pressure Boundary Conditions for Viscous Incompressible Flows)

  • 서정천
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 1998년도 춘계 학술대회논문집
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    • pp.15-28
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    • 1998
  • As an alternative for solving the incompressible Navier-Stokes equations, we present a vorticity-based integro-differential formulation for vorticity, velocity and pressure variables. One of the most difficult problems encountered in the vorticity-based methods is the introduction of the proper value-value of vorticity or vorticity flux at the solid surface. A practical computational technique toward solving this problem is presented in connection with the coupling between the vorticity and the pressure boundary conditions. Numerical schemes based on an iterative procedure are employed to solve the governing equations with the boundary conditions for the three variables. A finite volume method is implemented to integrate the vorticity transport equation with the dynamic vorticity boundary condition . The velocity field is obtained by using the Biot-Savart integral derived from the mathematical vector identity. Green's scalar identity is used to solve the total pressure in an integral approach similar to the surface panel methods which have been well-established for potential flow analysis. The calculated results with the present mettled for two test problems are compared with data from the literature in order for its validation. The first test problem is one for the two-dimensional square cavity flow driven by shear on the top lid. Two cases are considered here: (i) one driven both by the specified non-uniform shear on the top lid and by the specified body forces acting through the cavity region, for which we find the exact solution, and (ii) one of the classical type (i.e., driven only by uniform shear). Secondly, the present mettled is applied to deal with the early development of the flow around an impulsively started circular cylinder.

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섬진강 월유출량의 추계학적 모형 (Stochastic Modelling of Monthly flows for Somjin river)

  • 이종남;이홍근
    • 물과 미래
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    • 제17권4호
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    • pp.281-291
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    • 1984
  • 한국하천유역의 강우량관측자료는 풍부하나 하천유량측정자료가 많고 섬진강 유역내의 압록과 송정의 유량관측기록이 비교적장기간에 것이 있고, 유속측정을 많이 하고 있으므로 본유역자료를 가지고 월유출량계열의 모형식을 유도하였다. 본모형식은 월강우량기록으로서 월유출량 산출식을 Box & Jenkins의 대체함수모형식에다 ARIMA의 잔차모형식을 가하여 유도한 것이다. 또 기 강우량과 유출량 자료간에는 잔차시계열이 정상공분산을 갖는다는 가정하에 모형식을 작성하였다. 자기상관 함수의 특성으로부터 ARIMA모형을 유도함에도 먼저 계산식으로 각변수를 산출하고, 이 변수를 다소조정반복시켜 가장 정확한 융통성있는 Box & Jenkins 방식의 모형식을 작성하였다. 섬진강에서 가장 적정모형식을 다음과 같은 일반식으로 주어졌다. 여기서 $Y_t=($\omega$o-$\omega$_1B) C_iX_t+$\varepsilon$t$ $Y_t$ 월유출량, $X_t$: 월 강우량, $C_i$: 월유출률, $$\omega$o-$\omega$_1$ : 대체변수 $$\varepsilon$_t$ : 잔차(임의오차성분) 섬진강수위관측소의 기 월유출량 기록자료로서 월유출량게열의 만족할만한 모형을 비교검토 연구작성하였다.

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CONSEQUENCE OF BACKWARD EULER AND CRANK-NICOLSOM TECHNIQUES IN THE FINITE ELEMENT MODEL FOR THE NUMERICAL SOLUTION OF VARIABLY SATURATED FLOW PROBLEMS

  • ISLAM, M.S.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제19권2호
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    • pp.197-215
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    • 2015
  • Modeling water flow in variably saturated, porous media is important in many branches of science and engineering. Highly nonlinear relationships between water content and hydraulic conductivity and soil-water pressure result in very steep wetting fronts causing numerical problems. These include poor efficiency when modeling water infiltration into very dry porous media, and numerical oscillation near a steep wetting front. A one-dimensional finite element formulation is developed for the numerical simulation of variably saturated flow systems. First order backward Euler implicit and second order Crank-Nicolson time discretization schemes are adopted as a solution strategy in this formulation based on Picard and Newton iterative techniques. Five examples are used to investigate the numerical performance of two approaches and the different factors are highlighted that can affect their convergence and efficiency. The first test case deals with sharp moisture front that infiltrates into the soil column. It shows the capability of providing a mass-conservative behavior. Saturated conditions are not developed in the second test case. Involving of dry initial condition and steep wetting front are the main numerical complexity of the third test example. Fourth test case is a rapid infiltration of water from the surface, followed by a period of redistribution of the water due to the dynamic boundary condition. The last one-dimensional test case involves flow into a layered soil with variable initial conditions. The numerical results indicate that the Crank-Nicolson scheme is inefficient compared to fully implicit backward Euler scheme for the layered soil problem but offers same accuracy for the other homogeneous soil cases.

Simplified procedure for seismic demands assessment of structures

  • Chikh, Benazouz;Mehani, Youcef;Leblouba, Moussa
    • Structural Engineering and Mechanics
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    • 제59권3호
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    • pp.455-473
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    • 2016
  • Methods for the seismic demands evaluation of structures require iterative procedures. Many studies dealt with the development of different inelastic spectra with the aim to simplify the evaluation of inelastic deformations and performance of structures. Recently, the concept of inelastic spectra has been adopted in the global scheme of the Performance-Based Seismic Design (PBSD) through Capacity-Spectrum Method (CSM). For instance, the Modal Pushover Analysis (MPA) has been proved to provide accurate results for inelastic buildings to a similar degree of accuracy than the Response Spectrum Analysis (RSA) in estimating peak response for elastic buildings. In this paper, a simplified nonlinear procedure for evaluation of the seismic demand of structures is proposed with its applicability to multi-degree-of-freedom (MDOF) systems. The basic concept is to write the equation of motion of (MDOF) system into series of normal modes based on an inelastic modal decomposition in terms of ductility factor. The accuracy of the proposed procedure is verified against the Nonlinear Time History Analysis (NL-THA) results and Uncoupled Modal Response History Analysis (UMRHA) of a 9-story steel building subjected to El-Centro 1940 (N/S) as a first application. The comparison shows that the new theoretical approach is capable to provide accurate peak response with those obtained when using the NL-THA analysis. After that, a simplified nonlinear spectral analysis is proposed and illustrated by examples in order to describe inelastic response spectra and to relate it to the capacity curve (Pushover curve) by a new parameter of control, called normalized yield strength coefficient (${\eta}$). In the second application, the proposed procedure is verified against the NL-THA analysis results of two buildings for 80 selected real ground motions.