• Title/Summary/Keyword: 비선형 수치해석

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A study on improving efficiency in computational procedure of finite element nonlinear analysis of plane frame structures (평면 프레임 구조물의 유한요소 비선형 해석을 위한 효율적인 수치해석 방법에 관한 연구)

  • 구정서;이병채;곽병만
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.12 no.4
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    • pp.631-641
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    • 1988
  • Computational procedures associated with finite element nonlinear analysis of plane frame structures were examined and new solution schemes were suggested. Element stiffness matrix was derived from the principle of virtual displacements. Geometric and material nonlinearities were considered in the formulation. Solution method was based upon the constant displacement length method in conjunction with the Newton-Raphson method. New solution schemes were introduced in determining the initial load increment and the sign of load increments and predicting the length of displacement increment to improve user convenience, efficiency and stability. Numerical experiments were performed for several typical problems and suggested schemes were found efficient and convenient for analyzing nonlinear frame structures.

A Quasi-nonlinear Numerical Analysis Considering the Variable Membrane Tension of Vertical Membrane Breakwaters (연직 막체방파제의 변동 막체장력을 고려한 준 비선형 수치해석)

  • Chun, In-Suk;Kim, Sun-Sin;Park, Hyun-Ju
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.21 no.4
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    • pp.290-300
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    • 2009
  • The existing numerical methods on the vertical membrane breakwater have employed a linear analysis where the variable membrane tension occurring during membrane motions is assumed to be very negligible compared to the initial tension. In the present study, a quasi-nonlinear analysis is attempted such that the temporary tension of the membrane is substituted by the average tension for a wave period that is sought by an iterative calculation. The results showed that with the increase of the wave period the reflection coefficients appeared larger and the transmission coefficients smaller compared to the results of the linear analysis. The application of the quasi-nonlinear analysis also showed that the performance of the structure is closely dependent on the horizontal deformation of the membrane. In order to suppress the horizontal deformation, it may be required to take the larger initial tension of the membrane or to put additional mooring lines in the middle of the vertical faces of the membrane. But for theses methods to be effective, a largely sized surface float should be installed to secure enough buoyancy to support such downward forces.

Deformation analysis of shallow tunneling with unconsolidated soil using nonlinear numerical modeling (비선형 수치모델링을 이용한 미고결 지반 저토피 터널의 변형해석)

  • Lee, Jae-Ho;Kim, Young-Su;Yoo, Ji-Hyeung;Jeong, Yun-Young
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.12 no.2
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    • pp.105-116
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    • 2010
  • The estimation of surface settlement, ground behavior and tunnel displacement are the main factors in urban tunnel design with shallow depth and unconsolidated soil. On deformation analysis of shallow tunnel, it is important to identify possible deformation mechanism of shear bands developing from tunnel shoulder to the ground surface. This paper investigated the effects of key design parameter affecting deformation behavior by numerical analysis using nonlinear model incorporating the reduction of shear stiffness and strength parameters with the increment of the maximum shear strain after the initiation of plastic yielding. Numerical parametric studies are carried out to consider the reduction of shear stiffness and strength parameters, horizontal stress ratio, cohesion and shotcrete thickness.

A New Hybrid Method for Nonlinear Soil-Structure Interaction Analysis (비선형 지반-구조물 상호작용해석을 위한 새로운 복합법)

  • 김재민;최준성;이종세
    • Journal of the Earthquake Engineering Society of Korea
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    • v.7 no.6
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    • pp.1-7
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    • 2003
  • This paper presents a novel hybrid time-frequency-domain method for nonlinear soil-structure interaction(SSI) analysis. It employs, in a practical manner, a computer code for equivalent linear SSI analysis and a general-purpose nonlinear finite element program. The proposed method first (calculates dynamic responses on a truncated finite element boundary utilizing an equivalent linear SSI program in the frequency domain. Then, a general purpose nonlinear finite element program is employed to analyze the nonlinear SSI problem in the time domain, in which boundary conditions at the truncated boundary are imposed with the responses calculated in the previous frequency domain SSI analysis, In order to validate the proposed method, seismic response analyses are carried out for a 2-D underground subway station in a multi-layered half-space, For the analyses, a equivalent linear SSI code KIESSI-2D is coupled to ANSYS program. The numerical results indicate that the proposed methodology can be a viable solution for nonlinear SSI problems.

Aerodynamic Analysis of HAWTs in Yaw Conditions using Nonlinear Vortex Correction Method (비선형 와류 보정 기법을 이용한 풍력 블레이드의 요에러시 공력 해석)

  • Kim, Hogeon;Lee, Soogab
    • 한국신재생에너지학회:학술대회논문집
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    • 2011.05a
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    • pp.61.1-61.1
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    • 2011
  • 풍력 터빈은 복잡한 바람 조건에 노출되어 운용 되는 시스템으로서 경제성과 신뢰성을 확보하기 위해서는 이러한 조건하에서 시스템에 작용하는 정확한 공력 하중 예측이 필요하다. 여러 조건 중에서도 요에러는 풍향이 수시로 바뀌기 때문에 피할 수 없는 비정상 유동 중에 하나이다. 본 연구에서는 이러한 요에러 발생시 공력 하중예측을 적절히 예측하기 위해서 와류 격자 기법을 기반으로 하는 비선형 와류 보정기법을 적용하였다. 비선형 와류 보정기법은 실속 이후의 공력 예측을 위해 기지의 공력 테이블을 이용하는 방법으로서 실속 이후의 공력 테이블 값의 양력과 와류 격자 기법에서의 양력 값이 일치하도록 순환(circulation)을 분포시키는 기법이다. 또한 요에러시에 발생할 수 있는 동적 실속을 계산하기 위해 Beddoes-Leishmen 동적 실속 모델을 비선형 와류 보정 기법에 적용하는 연구를 수행하였다. 요에러시 공력 하중 예측에 관한 수치해석 기법 연구의 적절성을 알아보기 위해 NREL-Phase VI Rotor 실험 결과와 비교 하였다. 그 결과 기존의 여타의 기법들과 비교하여 본 연구에서 제안한 기법의 적절성을 확인 할 수 있었다. 앞으로 본 연구를 바탕으로 다양한 비정상 공력 조건에 대한 풍력 블레이드의 공력 하중 해석에 대해 수행할 계획이다.

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Development of One Dimensional Finite Volume Model Using Riemann Approximate Solver (Riemann 해법을 이용한 1차원 유한체적모형 개발)

  • Kim, Ji-Sung;Han, Kun-Yeun;Ahn, Ki-Hong
    • Proceedings of the Korea Water Resources Association Conference
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    • 2007.05a
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    • pp.428-432
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    • 2007
  • 댐 제방 등의 붕괴로 인하여 발생하는 급격한 유량의 변화와 흐름영역의 변화로 인한 천이류 및 도수의 발생, 불규칙한 하천단면에서 갈수기 저수기의 흐름해석은 기존의 수치해법의 한계로 인하여 수리모형실험 및 경험식 또는 단면의 단순화 등에 의존하고 있는 실정이다. 본 연구에서는 자연하천에서 비선형 흐름율 계산에 불연속초기조건의 해석해인 Riemann 근사해법을 사용하여 수치적으로 안정되고 정확한 1차원 모형을 개발하고자 한다. 이를 위하여 유한체적법을 사용하였고, 수위와 유량의 계산을 위하여 요구되는 유한체적을 유출입하는 흐름율의 계산에 HLL Riemann 해법을 사용하였으며, MUSCL 기법으로 2차 정확도기법으로 확장하였다. Riemann 해법을 통하여 계산된 비선형의 흐름율과 보존 특성을 만족시켜줄 수 있는 하상 및 하폭변화로 인한 생성항을 처리하는 기법을 제안함으로서 새로운 1차원 수치해석모형을 개발하였다. 개발된 모형의 실제하천의 적용성을 확인하기 위하여 하상과 하폭이 변화하는 부정류 흐름에 적용하여 모형의 적용성 및 정확성을 검증하였다.

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Dynamic Analysis of Geometric Nonlinear Behavior of Suspension Bridges under Random Wind Loads (랜덤풍하중에 대한 현수교의 기하학적 비선형 거동의 동적해석)

  • Yun, Chung Bang;Hyun, Chang Hun;Yoo, Je Nam
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.8 no.2
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    • pp.185-196
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    • 1988
  • In this study, a method of nonlinear dynamic analysis of suspension bridges subjected to random wind loads is pre.sented. The nonlinearity considered is the one due to the interaction between the motion of the bridge girder and the tertsion variation of the main cables. The equation of motion is formulated using a continuum approach. The coupling between the vertical and torsional motions are included in the analysis. The equation of motion is solved by using the mode superposition method. The analysis is carried out in the frequency domain utilizing the stochastic linearization technique on to the modal equations. In the linearization procedure, the nonlinear terms are approximated as linear ones with constant terms. The verification of the method has been performed on a case with four modal degrees of freedom. Example analyses are carried out on two suspension bridges for various wind speeds and wind force parameters. Numerical results indicate that, by including the nonlinearity into the analysis, the dynamic responses of the bridges, particularly in the vertical direction, change considerably.

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3D Model Construction from Image Scanning without Iteration or SVD (2차원 영상 템플릿으로부터 3차원 모델 템플릿 형성 - SVD가 필요 없는 선형 방법)

  • Han, Youngmo
    • Journal of the Institute of Electronics and Information Engineers
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    • v.50 no.11
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    • pp.165-170
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    • 2013
  • When we build up a 3D model from the given 2D images, linear algorithms are often used to reduce computational cost or for initialization of nonlinear algorithms. However, contemporary linear algorithms have apparently linear structures, but virtually they are implemented using SVD. The SVD is also implemented using numerical analysis algorithms that need initialization. Moreover, solutions using SVD are more difficult to analyze than closed-form solutions. To avoid from such inconvenient numerical analysis algorithms of the contemporary methods and for convenient analysis of solutions, this paper proposes a convenient linear method that produces a closed-form solution.

Direct Inelastic Design for Steel Structures (강구조를 위한 직접비탄성설계법)

  • Eom, Tae Sung;Park, Hong Gun
    • Journal of Korean Society of Steel Construction
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    • v.16 no.2 s.69
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    • pp.181-190
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    • 2004
  • A new inelastic design method performing iterative calculations using secant stiffness was developed. Since the proposed design method uses linear analysis, it is convenient and stable in numerical analysis. At the same time, the proposed design method can accurately estimate the inelastic strength and ductility demands of the members by performing iterative calculation. In the present study, the procedure of the proposed design method was established. Design examples using the proposed method were presented, and its advantages were highlighted by comparisons with existing design methods using elastic or plastic analysis. Unlike the existing inelastic design methods performing the preliminary design on the structure and checking its validity using nonlinear analysis, the proposed integrated analysis-design method can directly calculate the strength and ductility demands of each member. In addition, the proposed design method can address the inelastic design strategy intended by the engineer, such as strength and ductility limits of members and the design concept of strong-column and weak-beam. As a result, economical and safe design can be achieved.

Simplified seismic analysis of underground rectangular structures (박스 지하 구조물의 간편 내전해석)

  • Park, Inn-Joon;Park, Seong-Yong;Kim, Soo-Il;Kim, Sang-Hwan
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.7 no.3
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    • pp.249-257
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    • 2005
  • There are basically two methods for the seismic design of underground structures ; analytical or pseudo-static, and dynamical method. In pseudo-static analysis approach, the ground deformations are imposed as a static load and soil-structure interaction does not include dynamic or wave propagation effects. However the behavior of soil structure interaction is nonlinear, it needs to consider nonlinear soil-structure interaction effects. In this study simplified seismic analysis method to consider soil-structure interaction by iterative procedure is proposed and the results are compared and analyzed by a finite difference computer program.

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