• 제목/요약/키워드: load decomposition

검색결과 135건 처리시간 0.022초

Domain decomposition technique to simulate crack in nonlinear analysis of initially imperfect laminates

  • Ghannadpour, S. Amir M.;Karimi, Mona
    • Structural Engineering and Mechanics
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    • 제68권5호
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    • pp.603-619
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    • 2018
  • In this research, an effective computational technique is carried out for nonlinear and post-buckling analyses of cracked imperfect composite plates. The laminated plates are assumed to be moderately thick so that the analysis can be carried out based on the first-order shear deformation theory. Geometric non-linearity is introduced in the way of von-Karman assumptions for the strain-displacement equations. The Ritz technique is applied using Legendre polynomials for the primary variable approximations. The crack is modeled by partitioning the entire domain of the plates into several sub-plates and therefore the plate decomposition technique is implemented in this research. The penalty technique is used for imposing the interface continuity between the sub-plates. Different out-of-plane essential boundary conditions such as clamp, simply support or free conditions will be assumed in this research by defining the relevant displacement functions. For in-plane boundary conditions, lateral expansions of the unloaded edges are completely free while the loaded edges are assumed to move straight but restricted to move laterally. With the formulation presented here, the plates can be subjected to biaxial compressive loads, therefore a sensitivity analysis is performed with respect to the applied load direction, along the parallel or perpendicular to the crack axis. The integrals of potential energy are numerically computed using Gauss-Lobatto quadrature formulas to get adequate accuracy. Then, the obtained non-linear system of equations is solved by the Newton-Raphson method. Finally, the results are presented to show the influence of crack length, various locations of crack, load direction, boundary conditions and different values of initial imperfection on nonlinear and post-buckling behavior of laminates.

하중분해법을 사용한 제형 다실박스거더의 뒤틀림 해석 (Distortional Analysis of Multicell Box Girders with a Trapezoidal Cross-Section Using Force-Decomposition Method)

  • 김승준;박남회;강영종
    • 대한토목학회논문집
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    • 제28권6A호
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    • pp.779-788
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    • 2008
  • 본 논문에서는 편재하된 하중이 작용하는 제형 다실 박스거더의 정확한 뒤틀림 거동규명을 위해 3차원 쉘 요소를 사용한 해석법이 제안된다. 쉘 요소를 사용한 독립적인 뒤틀림 해석을 위해서는 정확한 뒤틀림 하중을 산정해야 하는데 본 논문에서는 정역학적인 힘의 평형조건 및 중첩의 원리를 토대로 작용하는 편재하된 하중을 제형 다실 박스거더의 주요한 거동을 유발하는 하중들로 분해하는 하중분해식을 유도하였다. 제안된 하중분해식에 의해 편재하된 하중은 휨과 비틂 그리고 뒤틀림 거동을 유발하는 하중들로 분해되고 이렇게 분해된 하중들을 쉘 요소에 적용하면 각 거동의 독립적인 해석결과를 얻을 수 있다. 이러한 독립적인 해석법은 다실 박스거더의 주요 거동의 역학적 특성을 이해하는 데 매우 유용할 것이고 특히 박스거더의 뒤틀림 거동에 대해 명확히 규명할 수 있는 기반을 마련할 수 있을 것이다. 그리고 현장의 설계자가 복잡한 뒤틀림 상수들을 계산하지 않고도 간단한 쉘요소 모델을 이용하여 독립적인 뒤틀림 해석을 수행할 수 있도록 큰 도움을 줄 수 있을 것이다.

Cartesian 좌표기반 동적영역분할을 고려한 SPH의 충돌 및 병렬해석 (The Contact and Parallel Analysis of SPH Using Cartesian Coordinate Based Domain Decomposition Method)

  • 탁문호
    • 한국지반환경공학회 논문집
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    • 제25권4호
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    • pp.13-20
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    • 2024
  • 본 논문에서는 유동체를 해석할 수 있는 수치해석기법 중 하나인 SPH(Smoothed Particle Hydrodynamics)의 병렬해석 알고리즘이 소개된다. 무요소법(meshless method)의 SPH는 연속체 거동을 입자기반으로 표현하기 때문에 컴퓨팅하는데 높은 자원을 요구한다. 그래서 병렬해석 알고리즘은 SPH 시뮬레이션에서 필수적으로 고려되어야 한다. 계산영역을 일정한 간격으로 분할시켜 독립적으로 해석하는 영역분할 알고리즘은 병렬해석 알고리즘 중에 가장 대표적인 방법이다. 그리고 그 중 Cartesian 좌표계의 영역분할 방법은 입자들의 좌표를 빠르고 편리하게 검색할 수 있는 장점이 있어, DEM(Discrete Element Method)이나 MD(Molecular Dynamics)에서 대중적으로 사용되고 있다. 그러나 SPH의 경우 입자들이 smoothing 길이 이내의 주위 입자 정보가 필요하기 때문에 분할 영역 간의 입자정보 공유가 중요하다. 그리고 이에 따른 CPU의 로드밸런스가 중요하다. 본 연구에서는 직교 영역분할의 크기를 동적으로 미소화 시켜 잉여 CPU가 발생하지 않도록 하는 높은 병렬효율성의 알고리즘이 제안되었다. 그리고 수치해석 모델을 통하여 효율성을 검증하였다. 유동체 모델에 대해 총 30 CPU까지 제안된 방법의 병렬효율성을 검토하였고, 28개의 물리적 코어 수까지 90%의 병렬효율성을 얻을 수 있었다.

Latin Hypercube Sampling Based Probabilistic Small Signal Stability Analysis Considering Load Correlation

  • Zuo, Jian;Li, Yinhong;Cai, Defu;Shi, Dongyuan
    • Journal of Electrical Engineering and Technology
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    • 제9권6호
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    • pp.1832-1842
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    • 2014
  • A novel probabilistic small signal stability analysis (PSSSA) method considering load correlation is proposed in this paper. The superiority Latin hypercube sampling (LHS) technique combined with Monte Carlo simulation (MCS) is utilized to investigate the probabilistic small signal stability of power system in presence of load correlation. LHS helps to reduce the sampling size, meanwhile guarantees the accuracy and robustness of the solutions. The correlation coefficient matrix is adopted to represent the correlations between loads. Simulation results of the two-area, four-machine system prove that the proposed method is an efficient and robust sampling method. Simulation results of the 16-machine, 68-bus test system indicate that load correlation has a significant impact on the probabilistic analysis result of the critical oscillation mode under a certain degree of load uncertainty.

Seismic performance of RC short columns with light transverse reinforcement

  • Tran, Cao Thanh Ngoc;Li, Bing
    • Structural Engineering and Mechanics
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    • 제67권1호
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    • pp.93-104
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    • 2018
  • The seismic behavior of reinforced concrete (RC) short columns with limited transverse reinforcement is investigated in this paper through an experimental program. The experimental program consists of four small-scale RC columns with an aspect ratio of 1.7, which are tested to the axial failure stage. The cracking patterns, hysteretic responses, strains in reinforcing bars, displacement decomposition and cumulative energy dissipation of the tested specimens are reported in detail in the paper. The effects of column axial load are investigated to determine how this variable might influence the performance of the short columns with limited transverse reinforcement. Brittle shear failure was observed in all tested specimens. Beneficial and detrimental effects on the shear strength and drift ratio at axial failure of the test specimens due to the column axial load are found in the experimental program, respectively.

Design of QFT controller of superconductor flywheel energy storage system for load frequency control

  • Lee, J.P.;Kim, H.G.
    • 한국초전도ㆍ저온공학회논문지
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    • 제15권1호
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    • pp.19-24
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    • 2013
  • In this paper, the Superconductor flywheel energy storage system (SFESS) was used for the load frequency control (LFC) of an interconnected 2 area power system. The robust SFESS controller using quantitative feedback theory (QFT) was designed to improve control performance in spite of parameter uncertainty and unexpected disturbances. An overlapping decomposition method was applied to simplify SFESS controller design for the interconnected 2 area power system. The model for simulation of the interconnected 2 area power system included the reheat steam turbine, governor, boiler dynamics and nonlinearity such as governor deadband and generation rate constraint (GRC). To verify robust performance of proposed SFESS controller, dynamic simulation was performed under various disturbances and parameters variation of power system. The results showed that the proposed SFESS controller was more robust than the conventional method.

Iterative coupling of precise integration FEM and TD-BEM for elastodynamic analysis

  • Lei, Weidong;Liu, Chun;Qin, Xiaofei;Chen, Rui
    • Structural Engineering and Mechanics
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    • 제67권4호
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    • pp.317-326
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    • 2018
  • The iterative decomposition coupling formulation of the precise integration finite element method (FEM) and the time domain boundary element method (TD-BEM) is presented for elstodynamic problems. In the formulation, the FEM node and the BEM node are not required to be coincident on the common interface between FEM and BEM sub-domains, therefore, the FEM and BEM are independently discretized. The force and displacement converting matrices are used to transfer data between FEM and BEM nodes on the common interface between the FEM and BEM sub-domains, to renew the nodal variables in the process of the iterations for the un-coincident FEM node and BEM node. The iterative coupling formulation for elastodynamics in current paper is of high modeling accuracy, due to the semi-analytical solution incorporated in the precise integration finite element method. The decomposition coupling formulation for elastodynamics is verified by examples of a cantilever bar under a Heaviside-type force and a harmonic load.

Buckling analysis of nanocomposite cut out plate using domain decomposition method and orthogonal polynomials

  • Jamali, M.;Shojaee, T.;Kolahchi, R.;Mohammadi, B.
    • Steel and Composite Structures
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    • 제22권3호
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    • pp.691-712
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    • 2016
  • In this editorial, buckling analytical investigation of the nanocomposite plate with square cut out reinforced by carbon nanotubes (CNTs) surrounded by Pasternak foundation is considered. The plate is presumed has square cut out in center and resting on Pasternak foundation. CNTs are used as amplifier in plate for diverse distribution, such as uniform distribution (UD) and three patterns of functionally graded (FG) distribution types of CNTs (FG-X, FG-A and FG-O). Moreover, the effective mechanical properties of nanocomposite plate are calculated from the rule of mixture. Domain decomposition method and orthogonal polynomials are applied in order to define the shape function of nanocomposite plate with square cut out. Finally, Rayleigh-Ritz energy method is used to obtain critical buckling load of system. A detailed parametric study is conducted to explicit the effects of the dimensions of plate, length of square cut out, different distribution of CNTs, elastic medium and volume fraction of CNTs. It is found from results that increase the dimensions of plate and length of square cut out have negative impact on buckling behavior of system but considering CNTs in plate has positive influence.

Fast-convergence trilinear decomposition algorithm for angle and range estimation in FDA-MIMO radar

  • Wang, Cheng;Zheng, Wang;Li, Jianfeng;Gong, Pan;Li, Zheng
    • ETRI Journal
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    • 제43권1호
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    • pp.120-132
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    • 2021
  • A frequency diverse array (FDA) multiple-input multiple-output (MIMO) radar employs a small frequency increment across transmit elements to produce an angle-range-dependent beampattern for target angle and range detection. The joint angle and range estimation problem is a trilinear model. The traditional trilinear alternating least square (TALS) algorithm involves high computational load due to excessive iterations. We propose a fast-convergence trilinear decomposition (FC-TD) algorithm to jointly estimate FDA-MIMO radar target angle and range. We first use a propagator method to obtain coarse angle and range estimates in the data domain. Next, the coarse estimates are used as initialized parameters instead of the traditional TALS algorithm random initialization to reduce iterations and accelerate convergence. Finally, fine angle and range estimates are derived and automatically paired. Compared to the traditional TALS algorithm, the proposed FC-TD algorithm has lower computational complexity with no estimation performance degradation. Moreover, Cramer-Rao bounds are presented and simulation results are provided to validate the proposed FC-TD algorithm effectiveness.

다중블록/다중영역분할 기법을 이용한 유동해석 코드 병렬화 (Parallelization of Multi-Block Flow Solver with Multi-Block/Multi-Partitioning Method)

  • 주완돈;이보성;이동호;홍승규
    • 한국항공우주학회지
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    • 제31권7호
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    • pp.9-14
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    • 2003
  • 본 연구에서는 다중블록 격자를 병렬화 하기 위해서 다중블록/다중영역분할 기법을 제안하였다. 이 방법은 각 블록을 사용하고자 하는 프로세서의 개수만큼 나눔으로써 전체 프로세서에 대해서 균일한 로드 밸런싱을 유지할 수 있는 장점이 있다. 영역분할 기법에 따른 병렬화 효율 및 속도 향상률을 비교하기 위해서 다중블록/단일 영역분할 기법과 다중블록/다중 영역분할 기법을 서로 비교 하였으며, 블록간의 격자수가 크게 다른 경우 다중영역 분할 기법이 로드 밸런싱에 있어서 보다 안정적임을 확인 할 수 있었다. 또한 이를 CFDS에 적용함으로써 다중블록 다중영역분할 기법의 효용성을 검증하였다. 3차원 계산의 경우 프로세서 16개를 사용하는 경우 약 12배의 속도 향상률을 보였으며, 다중블록을 병렬화 하는데 있어서 다중블록/다중영역 분할 기법이 효율적인 도구가 될 수 있음을 보였다.