• Title/Summary/Keyword: 절점법

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Finite Element Analysis of Reinforced Concrete Hollow Columns Using Path-dependent Volume Control Method (경로의존형 체적제어법을 이용한 철근콘크리트 중공 기둥의 유한요소해석)

  • Song, Ha-Won;Nam, Sang-Hyeok;Lim, Sang-Mook
    • Journal of the Korea Concrete Institute
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    • v.19 no.3
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    • pp.341-350
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    • 2007
  • The volume control method which utilize a pressure node added into a finite shell element can overcome the drawbacks of conventional load control method and displacement control method. In this study, an improved volume control method is introduced for effective analysis of path-dependent behaviors of RC columns subjected to lateral cyclic loading or reversed cyclic loading along with compressive loading. RC shell structures and RC hollow columns are analyzed by discretizing the structures with layered shell elements and by applying in-plane two dimensional constitutive equations for concrete layers and reinforcement layers of the shell elements. The so-called path dependent volume control method as a finite element analysis technique is verified by comparing analysis results with other data including experimental results. The validity and applicability of the modeling technique is also confirmed by the comparison.

Linear and Nonlinear Analysis of Initially Stressed Elastic Solid (초기응력이 있는 탄성체의 선형 및 비선형해석 -플레이트 스트립을 중심으로)

  • 권영두;최진민
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.12 no.4
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    • pp.642-651
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    • 1988
  • The present paper develops finite element procedures to calculate displacements, strains and stresses in initially stressed elastic solids subjected to static or time-dependent loading conditions. As a point of departure, we employ Hamilton's principle to obtain nonlinear equations of motion characterizing the displacement in a solid. The equations of motion reduce to linear equations of motion if incremental stresses are assumed to be infinitesimal. In the case of linear problem, finite element solutions are obtained by Newmark's direct integration method and by modal analysis. An analytic solution is referred to compare with the linear finite element solution. In the case of nonlinear problem, finite element solutions are obtained by Newton-Raphson iteration method and compared with the linear solution. Finally, the effect of the order of Gauss-Legendre numerical integration on the nonlinear finite element solution, has been investigated.

On the Improvement of the Accuracy of Higher Order Derivatives in the MLS(Moving Least Square) Difference Method via Mixed Formulation (MLS 차분법의 결정 변수에 따른 정확도 분석 및 혼합변분이론을 통한 미분근사 성능향상)

  • Kim, Hyun-Young;Kim, Jun-Sik
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.33 no.5
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    • pp.279-286
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    • 2020
  • In this study, we investigate the accuracy of higher order derivatives in the moving least square (MLS) difference method. An interpolation function is constructed by employing a Taylor series expansion via MLS approximation. The function is then applied to the mixed variational theorem in which the displacement and stress resultants are treated as independent variables. The higher order derivatives are evaluated by solving simply supported beams and cantilevers. The results are compared with the analytical solutions in terms of the order of polynomials, support size of the weighting function, and number of nodes. The accuracy of the higher order derivatives improves with the employment of the mean value theorem, especially for very high-order derivatives (e.g., above fourth-order derivatives), which are important in a classical asymptotic analysis.

Mathematical Theorem of Mode Acceleration Method (모우드 가속도법의 수학적 정리(定理))

  • 김태남
    • Journal of the Earthquake Engineering Society of Korea
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    • v.7 no.2
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    • pp.1-7
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    • 2003
  • Mode superposition method(MSM) is the most commonly used for solving linear response problems of structural dynamics. The major advantage of MSM is that usually a small number of lower mode is sufficient to analysis the response. However, the convergence is slow and many modes would be needed to give an accurate MSM in large structure with many degrees of freedom. The inaccuracies of MSM are caused by mode truncation in the solution. These demerits can be overcome by use of the mode acceleration method(MAM). Example analyses are carried out in simple beam subjected to harmonic loadings and compared the convergence of the joint displacements by the two methods. For relatively low frequency loadings, a good results was obtained by the lowest one mode in MAM, so the method is more economic in numerical analysis on an accurate solution.

Analysis of a Marine Propeller in Steady Flow by a Higher-Order Boundary Element Method (고차경계요소법을 이용한 정상 유동중의 프로펠러 해석)

  • K.J. Paik;S.B. Suh;H.H. Chun
    • Journal of the Society of Naval Architects of Korea
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    • v.38 no.3
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    • pp.31-40
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    • 2001
  • Low-order panel methods are being used to design marine propellers. Since the potential value over each panel for these methods is assumed to be a constant, the accuracy of prediction is known to be limited. Therefore, a higher order boundary element method(HOBEM) has been studied to enhance the accuracy of prediction. In this paper, a HOBEM representing the body boundary surfaces and physical quantities by a 9-node Lagrangian shape function is employed to analyse the flow around marine propellers in steady potential flow. First, the numerical results for a circular wing with thickness variations are compared with Jordan's linear solution. Then, the computational results of two propellers(DTRC 4119 & DTRC 4842 propeller) are compared with the experimental and numerical results published. The pressure distribution on the surface of the propeller is also compared with experimental data.

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A Study on the Calculation of Stress Intensity Fantors considering Pressure of Crack-Face (균열면의 압력을 고려한 응력확대계수의 결정에 관한 연구)

  • 진치섭;최현태;이홍주
    • Magazine of the Korea Concrete Institute
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    • v.7 no.3
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    • pp.175-186
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    • 1995
  • The determination of the stress intensity factors is investigated by sur-face integral method around the crack tip of the nlass~vc: concrete structure. The surface integral met hod is naturally derived from the standal-ci path integral J. Howevcr. In the J integral method, pressure in the crack-face and body forces can not be considered, while this theory has advantage of ccmsidering many kind of forces, so t.his theory will be useful in investigating more accurate strt:ss states around crack tip. Furthermore. t h~s rrlethod can elerninate unntussary process of using singular elements and fine mesh around crack tip which is used 11; modelling the singularity around crack tip. A computer program for determming $K_I$, $K_{II}$ is tfcvulopcd by applying this theory. $K_I$, $K_{II}$ values usmg X noded isoparametric elements which was proved and variation of the stress intensity factor was investigated by application of darn structures.

Extended MLS Difference Method for Potential Problem with Weak and Strong Discontinuities (복합 불연속면을 갖는 포텐셜 문제 해석을 위한 확장된 MLS 차분법)

  • Yoon, Young-Cheol;Noh, Hyuk-Chun
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.24 no.5
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    • pp.577-588
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    • 2011
  • This paper provides a novel extended Moving Least Squares(MLS) difference method for the potential problem with weak and strong discontinuities. The conventional MLS difference method is enhanced with jump functions such as step function, wedge function and scissors function to model discontinuities in the solution and the derivative fields. When discretizing the governing equations, additional unknowns are not yielded because the jump functions are decided from the known interface condition. The Poisson type PDE's are discretized by the difference equations constructed on nodes. The system of equations built up by assembling the difference equations are directly solved, which is very efficient. Numerical examples show the excellence of the proposed numerical method. The method is expected to be applied to various discontinuity related problems such as crack problem, moving boundary problem and interaction problems.

An Analysis of Cylindrical Tank of Elastic Foundation by Transfer Matrix and Stiffness Matrix (전달행렬과 강성행렬에 의한 탄성지반상의 원형탱크해석)

  • 남문희;하대환;이관희;장홍득
    • Computational Structural Engineering
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    • v.10 no.1
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    • pp.193-200
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    • 1997
  • Even though there are many analysis methods of circular tanks on elastic foundation, the finite element method is widely used for that purpose. But the finite element method requires a number of memory spaces, computation time to solve large stiffness equations. In this study many the simplified methods(Analogy of Beam on Elastic Foundation, Foundation Stiffness Matrix, Finite Element Method and Transfer Matrix Method) are applied to analyze a circular tank on elastic foundation. By the given analysis methods, BEF analogy and foundation matrix method, the circular tank was transformed into the skeletonized frame structure. The frame structure was divided into several finite elements. The stiffness matrix of a finite element is related with the transfer matrix of the element. Thus, the transfer matrix of each finite element utilized the transfer matrix method to simplify the analysis of the tank. There were no significant difference in the results of two methods, the finite element method and the transfer matrix method. The transfer method applied to a circular tank on elastic foundation resulted in four simultaneous equations to solve completely.

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Development of Computational Model for Looped Network Channel (폐합형 수계에 대한 수리학적 계산모형 개발)

  • Koo, Kang Min;Ju, Kyung Soo
    • Proceedings of the Korea Water Resources Association Conference
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    • 2015.05a
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    • pp.387-387
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    • 2015
  • 최근 기후변화에 따른 국지성 집중호우 및 돌발홍수 증가로 도심지역에 많은 침수 피해가 발생하고 있다. 본 연구는 이러한 내외수에 영향을 받는 도시 중소하천의 침수 저감을 위하여 침수 예측모형에 적용 가능한 수리학적 계산모형을 개발하는 것이다. 일반적으로 자연하천은 수지형 수계가 대부분이며, 도시 우수관로와 관계배수 시스템 등은 폐합형 수계에 포함되어 수지형 계산모형으로는 도시 중소하천의 유출 모의를 할 수 없다. 폐합형 수계의 계산모형은 수지형에 비해 복잡하지만, 적용대상 수계가 폐합형이 아닌 경우에도 합류점의 유입량을 처리하기가 편리하고, 역방향의 월류 흐름이 존재하는 감조하천에서의 월류 흐름 모의가 가능한 장점을 갖고 있어 도시 내배수 시스템은 물론 자연하천에도 적용 할 수 있다. 본 모형은 절점, 수로 및 계산점으로 구성되는데 동력학적 방법인 1차원 Saint-Venant의 연속 방정식과 운동량 방정식에 수치해법을 이용하여 구하고자 하는 시간과 지점의 수위와 유량을 계산할 수 있게 구성하였다. 수치해법으로는 가장 보편적으로 사용되는 유한차분법 중 안정성과 정확성이 우수한 것으로 평가된 Preissmann의 4점 음해법으로 차분방정식에 Newton-Raphson 방법을 사용하여 유량과 수위 보정치에 Double Sweep 알고리즘을 적용하였다. 유한차분법은 안정성 문제를 수반할 수 있기에 시간 증분이 작을수록 Courant 조건을 만족할 수 있다. 모형 비교 검증을 위하여 동력학적 방법을 적용한 대표적인 폐합형 수계모형인 EPA SWMM을 지원하는 CHI사의 PC-SWMM 프로그램을 이용하여 가상의 폐합 수계를 구축하였다. 일반적으로 상류지점의 경계조건은 하류로 추적될 입력 자료로써, 상류지점과 합류지점은 유입되는 유량값을 그리고 하류지점은 유출되는 수위값을 경계조건으로 입력하였다. 운동량방정식의 에너지 경사와 마찰경사 항에 포함된 조도계수는 변화량에 중요한 물리적 요소이지만, 고정 상수값인 0.03을 적용하여 검증에 용의하도록 하였다. 구축된 모형과 PC-SWWM을 통해 산출된 계산점별 수위와 유량에 RMS 오차를 비교한 결과 만족할만한 결과를 얻을 수 있었다. 따라서 향후 내외수를 연계에 침수예측모형에 적용 가능할 것으로 사료된다.

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A study on building outline simplifications considering digital map generalizations (수치지도 작성을 위한 건물외곽선 단순화기법 연구)

  • Park, Woo-Jin;Park, Seung-Yong;Jo, Seong-Hwan;Yu, Ki-Yun
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.27 no.1
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    • pp.657-666
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    • 2009
  • In GIS area, many line simplification algorithms are studied among generalization methods used for making the building data in the form of digital map from the original line data. On the other hand, there are few studies on the simplification algorithm considering the drawing rules of the digital map in Korea. In this paper, the line simplification algorithm based on the drawing rules is proposed as the methodology to create or update the building data of digital map by extracting the building outline from the CAD data used in construction. To confirm the usefulness of the algorithm, this algorithm and four other effective and general line simplification algorithms (e.g., Douglas-Peucker algorithm) are applied to the same building outlines. Then, the five algorithms are compared on five criteria, the satisfaction degree of the drawing rules, shape similarity, the change rate of the number of points, total length of lines, and the area of polygon. As a result, the proposed algorithm shows the 100% of satisfaction degree to the drawing rules. Also, there is little loss in four other mentioned criteria. Thus, the proposed algorithm in this paper is judged to be effective in updating the building data in digital map with construction drawings.