• Title/Summary/Keyword: Nodal Dynamic Stiffness Coefficient

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Free Vibration Analysis of Lattice Type Structure by Transfer Stiffness Coefficient Method (전달 강성계수법에 의한 격자형 구조물의 자유 진동 해석)

  • 문덕홍;최명수;강화중
    • Journal of KSNVE
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    • v.8 no.2
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    • pp.361-368
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    • 1998
  • Complex and large lattice type structures are frequently used in design of bridge, tower, crane and aerospace structures. In general, in order to analyze these structures we have used the finite element method(FEM). This method is the most widely used and powerful tool for structural analysis. However, it is necessary to use a large amount of computer memory and computation time because the FEM resuires many degrees of freedom for solving dynamic problems exactly for these complex and large structures. For overcoming this problem, the authors developed the transfer stiffness coefficient method(TSCM). This method is based on the concept of the transfer of the nodal dynamic stiffness coefficient which is related to force and displacement vector at each node. In this paper, the authors formulate vibration analysis algorithm for a complex and large lattice type structure using the transfer of the nodal dynamic stiffness coefficient. And we confirmed the validity of TSCM through numerical computational and experimental results for a lattice type structure.

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Forced Vibration Analysis of Lattice Type Structure by Transfer Stiffness Coefficient Method (전달강성계수법에 의한 격자형 구조물의 강제진동 해석)

  • 문덕홍;최명수
    • Journal of KSNVE
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    • v.8 no.5
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    • pp.949-956
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    • 1998
  • Complex and large lattice type structures are frequently used in design of bridge, tower, crane and aerospace structures. In general, in order to analyze these structures we have used the finite element method(FEM). This method is the most widely used and powerful method for structural analysis lately. However, it is necessary to use a large amount of computer memory and computational time because the FEM requires many degrees of freedom for solving dynamic problems exactly for these complex and large structures. For analyzing these structures on a personal computer, the authors developed the transfer stiffness coefficient method(TSCM). This method is based on the concept of the transfer of the nodal dynamic stiffness coefficient matrix which is related to force and displacement vector at each node. And we suggested TSCM for free vibration analysis of complex and large lattice type structures in the previous report. In this paper, we formulate forced vibration analysis algorithm for complex and large lattice type structures using extened TSCM. And we confirmed the validity of TSCM through computational results by the FEM and TSCM, and experimental results for lattice type structures with harmonic excitation.

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Longitudinal and Flexural Vibration Analysis of a Beam Type Structure by Transfer Stiffness Coefficient Method (전달강성계수법에 의한 보형구조물의 종.굽힘진동해석)

  • Moon, D.H.;Choi, M.S.;Kim, Y.B.
    • Journal of Power System Engineering
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    • v.2 no.1
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    • pp.59-66
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    • 1998
  • The authors have studied vibration analysis algorithm which was suitable to the personal computer. Recently, we presented the transfer stiffness coefficient method(TSCM). This method is based on the concept of the transfer of the nodal dynamic stiffness coefficients which are related to force and displacement vectors at each node. In this paper, we describes the general formulation for the longitudinal and flexural coupled vibration analysis of a beam type structure by the TSCM. And the superiority of the TSCM to the finite element method(FEM) in the computation accuracy, cost and convenience was confirmed by results of the numerical computation and experiment.

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Development of Vibration Analysis Algorithm for Joined Conical-cylindrical Shell Structures using Transfer of Influence Coefficient

  • Yeo, Dong-Jun;Choi, Myung-Soo
    • Journal of Power System Engineering
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    • v.17 no.1
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    • pp.50-57
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    • 2013
  • This describes the formulation for the free vibration of joined conical-cylindrical shells with uniform thickness using the transfer of influence coefficient. This method was developed based on successive transmission of dynamic influence coefficients, which were defined as the relationships between the displacement and the force vectors at arbitrary nodal circles of the system. The two edges of the shell having arbitrary boundary conditions are supported by several elastic springs with meridional/axial, circumferential, radial and rotational stiffness, respectively. The governing equations of vibration of a conical shell, including a cylindrical shell, are written as a coupled set of first order differential equations by using the transfer matrix of the shell. Once the transfer matrix of a single component has been determined, the entire structure matrix is obtained by the product of each component matrix and the joining matrix. The natural frequencies and the modes of vibration were calculated numerically for joined conical-cylindrical shells. The validity of the present method is demonstrated through simple numerical examples, and through comparison with the results of previous researchers.