• 제목/요약/키워드: Matrix analysis

검색결과 5,846건 처리시간 0.04초

강성계수의 전달을 이용한 골조구조물의 정적해석 (Static Analysis of Frame Structures Using Transfer of Stiffness Coefficient)

  • 최명수;문덕홍;정하용
    • 한국전산구조공학회논문집
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    • 제16권1호
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    • pp.9-18
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    • 2003
  • 파양한 구조물의 정적해석에서 매트릭스구조해석법은 가상 폭넓게 사용되고 있는 강력한 해석기법이다. 그러나 이 방법으로 많은 수의 자유도를 갖는 구조물을 정확히 해석하기 위해서는 많은 계산 메모리와 빠른 처리 능력을 갖춘 고성능 컴퓨터를 필요로하는 취약점이 있다. 따라서 매트릭스구조해석법으로 많은 수의 자유노를 갖는 구조물을 퍼스널 컴퓨터 상에서 정확히 해석하기에는 곤란한 경우가 많다. 매트릭스구조해석법치 이러한 취약점을 극복하기 위하여, 저자들은 전달강성계수법을 제안한다. 전달강성계수법은 해석대상 구조물에 대한 강성계수의 전달에 기본 개념을 두고 있으am로 퍼스널 컴퓨터에 매우 적합한 해석기법이다. 본 논문에서는 골조추조물에 대한 정적해석 알고리듬을 전달강성계수법으로 정식화한다. 그리고 전달강성계수법, NASTRAN, 매트릭스구조해석법 그리고 해석해에 의한 계산 결과들의 비교를 통해 전달강성계수법의 유효성을 확인한다.

EMFG의 개선된 동작해석 알고리즘 (The Enhanced Analysis Algorithm for an EMFG's Operation)

  • 김희정;여정모;서경룡
    • 정보처리학회논문지A
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    • 제9A권3호
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    • pp.371-378
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    • 2002
  • EMFG(Extended Mark Flow Graph)는 이산시스템을 표현하는데 유용한 그래프 도구로 알려져 있다. 본 연구에서는 EMFG에서 각 트랜지션이 점화하였을 때의 입출력 박스의 마크 변화량을 입출력 행렬로 표현하였고, 이를 사용하여 EMFG의 접속행렬을 구하였다. 점화가능벡터를 구하기 위하여 각 트랜지션의 점화조건을 점화조건행렬로 표현하였으며, 각 트랜지션의 점화완료 상태를 판단하기 위하여 점화완료벡터를 도입하였다. 이들을 사용하여 EMFG의 모든 동작과정이 수학적으로 해석될 수 있도록 EMFG의 동작해석 알고리즘을 개선하였다. 제안된 알고리즘을 정회전과 역회전을 반복하는 시스템에 적용하여 알고리즘이 올바르게 동작하는 것을 확인하였다. 제안된 알고리즘은 다양한 이산 시스템을 분석하는데 유용하다.

비축대칭 하중을 받는 원통형 쉘의 단순화 해석 (A Simple Analysis of the Cylindrical Shell Subjected to a Nonaxisymmetric Load)

  • 남문희;이관희
    • 한국전산구조공학회논문집
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    • 제13권2호
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    • pp.179-187
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    • 2000
  • 비축대칭 하중을 받는 축대칭 쉘의 해석시 구조의 축대칭성을 고려하면 시간과 노력을 절약할 수 있다. 하중과 변위에 대하여 원주방향으로 Fourier 급수전개를 고려함으로서 비축대칭하중을 받는 축대칭 쉘의 해석은 뼈대요소처럼 취급할 수 있다. 본 논문에서는 Fourier 급수전개를 이용한 통상의 유한요소법에 의하여 비축대칭 하중을 받는 원형탱크의 강성행렬을 유도하고, 이 강성행렬을 행렬의 조작에 의해 전달행렬로 전환하여 전달행렬법을 적용하였다. 이 논문은 비축대칭하중을 받는 축대칭 쉘의 해석을 위한 연립방정식의 수를 최소화하는데 그 목적이 있다. 제안된 방법에 의한 풍하중과 물하중을 받는 원형탱크의 해석결과는 타 방법에 의한 해석결과와 잘 일치하고 있다.

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Empirical seismic fragility rapid prediction probability model of regional group reinforced concrete girder bridges

  • Li, Si-Qi;Chen, Yong-Sheng;Liu, Hong-Bo;Du, Ke
    • Earthquakes and Structures
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    • 제22권6호
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    • pp.609-623
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    • 2022
  • To study the empirical seismic fragility of a reinforced concrete girder bridge, based on the theory of numerical analysis and probability modelling, a regression fragility method of a rapid fragility prediction model (Gaussian first-order regression probability model) considering empirical seismic damage is proposed. A total of 1,069 reinforced concrete girder bridges of 22 highways were used to verify the model, and the vulnerability function, plane, surface and curve model of reinforced concrete girder bridges (simple supported girder bridges and continuous girder bridges) considering the number of samples in multiple intensity regions were established. The new empirical seismic damage probability matrix and curve models of observation frequency and damage exceeding probability are developed in multiple intensity regions. A comparative vulnerability analysis between simple supported girder bridges and continuous girder bridges is provided. Depending on the theory of the regional mean seismic damage index matrix model, the empirical seismic damage prediction probability matrix is embedded in the multidimensional mean seismic damage index matrix model, and the regional rapid prediction matrix and curve of reinforced concrete girder bridges, simple supported girder bridges and continuous girder bridges in multiple intensity regions based on mean seismic damage index parameters are developed. The established multidimensional group bridge vulnerability model can be used to quantify and predict the fragility of bridges in multiple intensity regions and the fragility assessment of regional group reinforced concrete girder bridges in the future.

A response matrix method for the refined Analytic Function Expansion Nodal (AFEN) method in the two-dimensional hexagonal geometry and its numerical performance

  • Noh, Jae Man
    • Nuclear Engineering and Technology
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    • 제52권11호
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    • pp.2422-2430
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    • 2020
  • In order to improve calculational efficiency of the CAPP code in the analysis of the hexagonal reactor core, we have tried to implement a refined AFEN method with transverse gradient basis functions and interface flux moments in the hexagonal geometry. The numerical scheme for the refined AFEN method adopted here is the response matrix method that uses the interface partial currents as nodal unknowns instead of the interface fluxes used in the original AFEN method. Since the response matrix method is single-node based, it has good properties such as good calculational efficiency and parallel computing affinity. Because a refined AFEN method equivalent nonlinear FDM response matrix method tried first could not provide a numerically stable solution, a direct formulation of the refined AFEN response matrix were developed. To show the numerical performance of this response matrix method against the original AFEN method, the numerical error analyses were performed for several benchmark problems including the VVER-440 LWR benchmark problem and the MHTGR-350 HTGR benchmark problem. The results showed a more than three times speedup in computing time for the LWR and HTGR benchmark problems due to good convergence and excellent calculational efficiency of the refined AFEN response matrix method.

상대 가속도를 이용한 기초 가진을 받는 다자유도 기계 시스템의 동적 해석 (Dynamic Analysis for Mechanical Systems with Multi-Degree of Freedom under Base Excitation Using Relative Acceleration)

  • 이태원
    • 한국기계가공학회지
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    • 제19권3호
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    • pp.36-41
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    • 2020
  • Mechanical systems installed in transport devices, such as vehicles, airplanes, and ships, are mostly subject to translational accelerations at the joints during operations. This base acceleration excitation has a large influence on the performance of the system, therefore, its response must be well analyzed. However, the existing methods for dynamic analysis of structures have some limitations in use. This study presents a new numerical method using relative acceleration to solve these limitations. If the governing equation of motion is linear and the mass matrix, the damping matrix, and the stiffness matrix are constant over time in the finite element analysis, the proposed method can be applied to the transient behavior analysis and the harmonic response analysis of the structure. Because it is not necessary to introduce a virtual mass and the rigid body motions are removed from the analysis, it is possible to use not only the direct integration method in the time domain but also the mode superposition method to obtain the dynamic responses. This paper demonstrates with three examples how the present method is suitable for the dynamic analysis of a structure with multi-degree of freedom.

회색도 변환 행렬 특징과 SVM을 이용한 흑색종 분류 알고리즘 (Melanoma Classification Algorithm using Gray-level Conversion Matrix Feature and Support Vector Machine)

  • 구정모;나승대;조진호;김명남
    • 한국멀티미디어학회논문지
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    • 제21권2호
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    • pp.130-137
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    • 2018
  • Recently, human life is getting longer due to change of living environment and development of medical technology, and silver medical technology has been in the limelight. Geriatric skin disease is difficult to detect early, and when it is missed, it becomes a malignant disease and is difficult to treatment. Melanoma is one of the most common diseases of geriatric skin disease and initially has a similar modality with the nevus. In order to overcome this problem, we attempted to perform a feature analysis in order to attempt automatic detection of melanoma-like lesions. In this paper, one is first order analysis using information of pixels in radiomic feature. The other is a gray-level co-occurrence matrix and a gray level run length matrix, which are feature extraction methods for converting image information into a matrix. The features were extracted through these analyses. And classification is implemented by SVM.

Damage assessment in periodic structures from measured natural frequencies by a sensitivity and transfer matrix-based method

  • Zhu, Hongping;Li, Lin;Wang, Dansheng
    • Structural Engineering and Mechanics
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    • 제16권1호
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    • pp.17-34
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    • 2003
  • This paper presents a damage assessment procedure applied to periodic spring mass systems using an eigenvalue sensitivity-based method. The damage is directly related to the stiffness reduction of the damage element. The natural frequencies of periodic structures with one single disorder are found by adopting the transfer matrix approach, consequently, the first order approximation of the natural frequencies with respect to the disordered stiffness in different elements is used to form the sensitivity matrix. The analysis shows that the sensitivity of natural frequencies to damage in different locations depends only on the mode number and the location of damage. The stiffness changes due to damage can be identified by solving a set of underdetermined equations based on the sensitivity matrix. The issues associated with many possible damage locations in large structural systems are addressed, and a means of improving the computational efficiency of damage detection while maintaining the accuracy for large periodic structures with limited available measured natural frequencies, is also introduced in this paper. The incomplete measurements and the effect of random error in terms of measurement noise in the natural frequencies are considered. Numerical results of a periodic spring-mass system of 20 degrees of freedom illustrate that the proposed method is simple and robust in locating single or multiple damages in a large periodic structure with a high computational efficiency.

Enamel matrix derivative for replanted teeth in animal models: a systematic review and meta-analysis

  • Kim, Sahng G.;Ryu, Steven I.
    • Restorative Dentistry and Endodontics
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    • 제38권4호
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    • pp.194-203
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    • 2013
  • Objectives: To investigate the effect of enamel matrix derivative (EMD) on periodontal healing of replanted teeth in animal models. Materials and Methods: The authors searched MEDLINE, PubMed, EMBASE, Cochrane Library, Web of Knowledge and Scopus for articles published up to Oct 2012. Animal studies in which EMD was applied in transplanted or replanted teeth with adequate controls and histological data were considered. Normal periodontal healing or root resorption determined by histology after EMD was applied in replanted teeth with adequate controls was used as outcome measures. The following search strategy was used: ('Emdogain' OR 'enamel matrix proteins' OR 'enamel matrix derivative') AND ('avulsion' OR 'transplantion' OR 'autotransplantation' OR 'replantation'). Results: Six animal studies were included in the final review. There was great heterogeneity in study design among included studies. Two studies with similar study designs were identified and analyzed by a meta-analysis. The pooled estimates showed a significantly higher normal healing and surface resorption and significantly less inflammatory and replacement resorption in EMD-treated groups compared with non-EMD-treated groups. Conclusions: With the limitations of this systematic review, the use of EMD led to greater normal periodontal healing and surface root resorption and less inflammatory and replacement root resorption in the presence of periodontal ligaments. However, no definite conclusion could be drawn with regard to the effect of EMD on periodontal healing and root resorption when no periodontal ligaments exist.

유한요소법을 이용한 평판의 동특성 연구 (Analysis of Dynamic Characteristics of Rectangular Plates by Finite Element Method)

  • 태순호;이태연;허문회
    • 한국안전학회지
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    • 제7권2호
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    • pp.30-41
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    • 1992
  • Analysis of Dynamic Characterisocs of Rectangular Plate by Finite Element Method. Dynamic characteristics of a rectangular plate with opening in it is studied by finite element method. To investigate these characteristics 12 degrees of freedom membrane finite element in used. The rectangular membrane finite elements are defined by specifying geometry, internal displacement functions and strain-displacement relations. Then, the governing equation for the finite element is derived by energy method. To derive the mass matrix and stiffness matrix of the element, expressions for strain and kineic energy in terms of the node displacement are generated. In constructing the overall structure matrix, the matrix of each elements are superposed and partitioned by applying the given boundary condition to obtain a nonslngular matrix. To find the natural freguencies and viration modes, the eigen values and the corresponding eigen vectors are computed by the computer using well known Jacobi power method. In order to verify the capability of the membrane finite element, a flat rectangular plate is analyzed first, and the result is compared with well known analytical results to show the good agreement. A rectangular plate with opening in It is analyzed with the same finite element. The results are presented in this paper. Unfortunately, the literature study could not provide with some results to compare, but the results reveal that the output of this research is phlslcally reasonable. And the results of this research are useful not only in practice but also for the future experimental research in comparison purpose.

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