• 제목/요약/키워드: matrix stiffness method

검색결과 569건 처리시간 0.033초

Free Vibration Analysis of Axisymmetric Conical Shell

  • Choi, Myung-Soo;Yeo, Dong-Jun;Kondou, Takahiro
    • 동력기계공학회지
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    • 제20권2호
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    • pp.5-16
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    • 2016
  • Generally, methods using transfer techniques, like the transfer matrix method and the transfer stiffness coefficient method, find natural frequencies using the sign change of frequency determinants in searching frequency region. However, these methods may omit some natural frequencies when the initial frequency interval is large. The Sylvester-transfer stiffness coefficient method ("S-TSCM") can always obtain all natural frequencies in the searching frequency region even though the initial frequency interval is large. Because the S-TSCM obtain natural frequencies using the number of natural frequencies existing under a searching frequency. In this paper, the algorithm for the free vibration analysis of axisymmetric conical shells was formulated with S-TSCM. The effectiveness of S-TSCM was verified by comparing numerical results of S-TSCM with those of other methods when analyzing free vibration in two computational models: a truncated conical shell and a complete (not truncated) conical shell.

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

  • 문덕홍;최명수;정하용
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2001년도 가을 학술발표회 논문집
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    • pp.287-294
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    • 2001
  • In static analysis of a variety of structures, the matrix method of structural analysis is the most widely used and powerful analysis method. However, this method has drawback requiring high-performance computers with many memory units and fast processing units in the case of analyzing complex and large structures accurately. Therefore, it's very difficult to analyze these structures accurately in personal computers. For overcoming the drawback of the matrix method of structural analysis, authors suggest transfer stiffness coefficient method(TSCM). The TSCM is very suitable to a personal computer because the concept of the TSCM is based on the transfer of the stiffness coefficient for an analytical structure. In this paper, the static analysis algorithm for frame structures is formulated by the TSCM. We confirm the validity of the proposed method through the compare of computation results by the TSCM and the NASTRAN.

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Dynamic stiffness matrix of an axially loaded slenderdouble-beam element

  • Jun, Li;Hongxing, Hua;Xiaobin, Li
    • Structural Engineering and Mechanics
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    • 제35권6호
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    • pp.717-733
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    • 2010
  • The dynamic stiffness matrix is formulated for an axially loaded slender double-beam element in which both beams are homogeneous, prismatic and of the same length by directly solving the governing differential equations of motion of the double-beam element. The Bernoulli-Euler beam theory is used to define the dynamic behaviors of the beams and the effects of the mass of springs and axial force are taken into account in the formulation. The dynamic stiffness method is used for calculation of the exact natural frequencies and mode shapes of the double-beam systems. Numerical results are given for a particular example of axially loaded double-beam system under a variety of boundary conditions, and the exact numerical solutions are shown for the natural frequencies and normal mode shapes. The effects of the axial force and boundary conditions are extensively discussed.

Haringx의 전단변형 이론을 고려한 부분강절 뼈대구조의 비탄성 좌굴해석 (Inelastic Buckling Analysis of Semi-rigid Frames with Shear Deformations by Haringx's Theories)

  • 민병철
    • 한국안전학회지
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    • 제29권3호
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    • pp.64-71
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    • 2014
  • The generalized tangential stiffness matrix of semi-rigid frame element with shear deformations based on Haringx's shear theory is newly derived and compared with the previous study based on Engesser's shear theory. Also, linearized elastic and geometric stiffness matrices are newly presented from the exact tangential stiffness matrix. In oder to obtain the inelastic system buckling load of shear flexible semi-rigid frame structure, the Ef method by tangential modulus theory is adopted and the FE analysis programs are developed. Finally, the shear and semi-rigid effects of system bucking are investigated by two numerical examples.

공기막 구조물의 형상해석 (Shape Finding Analysis of Pneumatic Structure)

  • 권택진;서삼열;이장복
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1994년도 봄 학술발표회 논문집
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    • pp.57-64
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    • 1994
  • The purpose of this paper is to find minimum surface shape of pneumatic structure using the finite element method. The pneumatic membrane structure is a kind of large deformation problem and very flexible composite material, which mean geomatric nonlinearity. It is not to resist for compression and resultant moment. As the displacement due to internal pressure is getting bigger, it should be considered the direction of forces. It becomes non-linear problem with the non-conservative force. The follower-force depends on the deformation and the direction of force is normal to each element. The solution process is obtained the new stiffness matrix (load correction matrix) depending on deformation through each iterated step. However, the stiffness matrix have not the symmetry and influence on the time of covergence. So in this paper Newton-Rhapson method for solving non-linear problem and for using symmetic matrix, the load direction is changed in each iterated step using the transformation matrix.

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Geometrically nonlinear analysis of plane frames composed of flexibly connected members

  • Gorgun, H.
    • Structural Engineering and Mechanics
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    • 제45권3호
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    • pp.277-309
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    • 2013
  • Beam-to-column connections behaviour plays an important role in the analysis and design of steel and precast concrete structures. The paper presents a computer-based method for geometrically nonlinear frames with semi-rigid beam-to-column connections. The analytical procedure employs modified stability functions to model the effect of axial force on the stiffness of members. The member modified stiffness matrix, and the modified fixed end forces for various loads were found. The linear and nonlinear analyses were applied for two planar steel structures. The method is readily implemented on a computer using matrix structural analysis techniques and is applicable for the efficient nonlinear analysis of frameworks.

강성등가하중을 이용한 새로운 비선형해석 알고리즘 (New Nonlinear Analysis Algorithm Using Equivalent Load for Stiffness)

  • 김영민;김치경;김태진
    • 한국전산구조공학회논문집
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    • 제20권6호
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    • pp.731-742
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    • 2007
  • 본 연구에서는 새로운 비선형해석 알고리즘인 적응형 Newton-Raphson 반복기법을 제안한다. 제안된 기법은 기존 Newton-Raphson 기법을 근간으로 적응형 부구조물화 기법을 이용하여 강성등가하중을 구하고, 이미 역행렬이 계산되어 있는 초기강성행렬에 강성등가하중을 적용하여 보정변위를 구하는 것으로 요약된다. 제안된 알고리즘의 가장 큰 특징은 하중 구간의 수에 관계없이 구조물 강성행렬에 대한 역행렬 계산을 단 한번만 수행한다는 것이다. 제안된 기법의 효율성은 강성행렬 및 역행렬 계산 후 부재강성행렬이 변경된 부재들이 연결된 자유도 수와 전체 자유도 수의 비율에 직접 관계된다. 이 비율에 따라 제안된 기법을 기존 비선형해석 기법과 보완적으로 사용함으로써 전체 비선형해석 효율을 향상시킬 수 있다.

충격반향기법의 신뢰성 향상을 위한 탄성파 파동전파 특성의 연구 (Investigation of the Stress-Wave Propagation In Improve the Reliability of the Impact-Echo Method)

  • 조미라
    • 콘크리트학회논문집
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    • 제14권2호
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    • pp.266-274
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    • 2002
  • 콘크리트 구조물 또는 조적식 구조물을 비파괴적으로 평가하는 충격반향시험은 타 기법과 비교하였을 때, 현장 적용면에서 탁월하게 우수하며, 그 신뢰성도 매우 높게 평가되고 있다 그러나 경우에 따라서 충격반향기법은 낮은 신뢰성을 나타내고 있다. 본 연구에서는 충격반향기법의 신뢰성을 수치해석에 의해 검토하였다. 유한요소해석 및 이론을 근거로 하는 동강성행렬법을 이용하여 균질한 강성구조 깊이에 따라 증가 또는 감소하는 전단강성구조, 샌드위치형 전단강성구조 등 대표적 유형의 전단강성구조를 가지는 콘크리트 터널벽체에 대해 충격반향실험의 수치 모사를 수행하였다. 이를 바탕으로 충격반향기법의 실험자료 분석 및 해석에 있어서 보다 신뢰성 있는 결과 도출을 위한 제언을 하였다.

Damage detection from the variation of parameter matrices estimated by incomplete FRF data

  • Rahmatalla, Salam;Eun, Hee-Chang;Lee, Eun-Taik
    • Smart Structures and Systems
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    • 제9권1호
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    • pp.55-70
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    • 2012
  • It is not easy to experimentally obtain the FRF (Frequency Response Function) matrix corresponding to a full set of DOFs (degrees of freedom) for a dynamic system. Utilizing FRF data measured at specific positions, with DOFs less than that of the system, as constraints to describe a damaged system, this study identifies parameter matrices such as mass, stiffness and damping matrices of the system, and provides a damage identification method from their variations. The proposed parameter identification method is compared to Lee and Kim's method and Fritzen's method. The validity of the proposed damage identification method is illustrated in a simple dynamic system.

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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