• Title/Summary/Keyword: 전달 매트릭스 해석법

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Free Vibration Analysis of Shell Structures with Elastic Supports (탄성지지를 갖는 셀구조물의 자유진동해석)

  • 문덕홍;여동준;김판석
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1995.04a
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    • pp.344-349
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    • 1995
  • 셀구조물은 선박, 항공기, 우주선 등의 산업분야에 자주 사용되는 중요한 구조요소로서, 이에 대한 연구도 공학적 필요성에 의해 많은 연구가 진행되어 왔다. Maddox등의 Rayleigh-Ritz법, Srinivasan and Bobby의 적분방정식 기법, Petyt의 유한요소법, Irie, Henderson등의 전달매트릭스법, 그 외 Webster, Petyt and Deb Nath, Blevins, Srinivasan and Krishnan등에 의해 여러가지 해석방법의 진동해석이 행해져 왔다. 현재 주로 사용되고 있는 매트릭스 구조해석 및 진동해석 방법으로는 유한요소법과 전달매트릭스법을 들 수 있다. 유한요소법은 범용적인 해석 프로그램의 개발은 수월하지만 대규모의 선형 연립방정식의 해법에 귀착되므로, 기억용량이 큰 대형컴퓨터가 필요하고, 반면 전달매트릭스법은 기억용량이 적은 퍼스널컴퓨터로도 계산수행이 가능하나 고차의 고유진동수를 구할 경우나, 중간에 단단한 경탄성지지가 존재할 경우 등에는 수치계산상의 문제점이 지적되고 있다. 이에 대한 대책으로, 상태변수를 바꾸어 넣은 Riccati방법, 각 절점의 기지의 상태변수를 제거하는 Frontal법, 전달매트릭스와 강성매트릭스를 결합시키는 방법 등이 보고 되고 있다. 이에 자자들은 퍼스널컴퓨터 이용에 적합한 고속, 고정도의 구조해석 및 진동해석 기법으로 전달영향계수법을 제안하여, 원판구조물, 사각판구조물, 원통형 셀구조물 등의 여러가지 형상구조물의 자유진동 해석에 적용해서, 종래의 전달매트릭스법에 비해 계산정도 및 계산속도의 양면에서 매우 우수함을 보고한바 있다. 본 연구에서는 동적영향계수의 축차전달에 그 개념을 두고 있는 전달영향계수법을 좀 더 일반화시키고 체계화시키기 위하여 탄성지지를 갖는 셀구조물에 적용하여 자유진동 해석 알고리즘을 정식화한 후, 간단한 모델에 대한 수치실험을 통해서 전달 영향계수법으로 구한 해를 전달매트릭스법의 결과와 비교.검토하여 본 방법의 유용성을 확인하였다.

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

  • 최명수;문덕홍;정하용
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.16 no.1
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    • pp.9-18
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    • 2003
  • 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 accurately structures with a large number of degrees-of- freedom. 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 the 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 TSCM through the comparison of computation results by the TSCM, the NASTRAN, the matrix method of structural analysis and the analytical solution.

Free Vibration Analysis of Circular Cylindrical Shell by the Transfer Influence Coefficient Method (전달영향계수법에 의한 원통형 쉘의 자유진동해석)

  • 문덕홍;여동준
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1994.10a
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    • pp.192-196
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    • 1994
  • 본 연구에서는 동적영향계수의 축차전달에 그 개념을 두고 있는 전달영향계수법을 이용하여 탄성적으로 지지된 원통형 쉘구조물에 대하여 자유진동 해석 알고리즘을 정식화하였다. 탄성지지가 없는 일단 고정, 타단 자유의 간단한 모델에 대한 수치실험을 통해서 전달영향계수법으로 구한 해를 전달매트릭스법 및 Irie의 결과와 비교하여 본 기법의 유용성을 검증하였다. 또한, 탄성지지를 갖는 모델에 대해서는 본 방법으로 구한 해와 전달매트릭스법으로 구한 해를 비교 검토하여, 본 기법의 유용성을 확인하였다.

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Free Vibration Analysis of Disk Structure by the Transfer Influence Coefficient Method (전달영향계수법에 의한 원판구조물의 자유진동해석)

  • ;末岡淳男;近騰孝廣
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.5
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    • pp.1439-1446
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    • 1991
  • 본 연구에서는 동적영향계수의 축차전달에 그 개념을 두고 있는 전달영향계수 법을, 2층 원판구조물의 자유진동해석애 적용해서, 그 알고리즘을 정식화 하고 전달매 트릭스법과 비교 검토하였다.

Free Vibration Analysis of Rectangular Plate with Elastic Supports - Formulation by the Transfer Infiuence Coefficient Method - (탄성지대를 갖는 사각형 평판의 자유진동해석)

  • Moon, Deok-Hong;Yeo, Dong-Jun
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.27 no.4
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    • pp.313-320
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    • 1991
  • The paper describes the formulation for the analysis of the flexural free vibration of rectangular plate structure by the transfer influence coefficient method, which was developed on the base of the concept of the successive transmission of dynamic influence coefficients. For the analysis of rectangular plate which two opposite sides are simply-supported edge condition, the results of simple numerical examples demonstrate the validity of the present method, that is, the numerical high accuracy, the high speed and the flexibility for programming, compared with results of the transfer matrix method and exact solution or Leissa's method.

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The Forced Vibration Analysis of Immersed Circular Cylindrical Shell using State Vector and Transfer Matrix (상태 벡터 및 전달 매트릭스를 이용한 원통형 몰수체의 강제 진동 해석)

  • 정우진;신구균;함일배;이헌곤
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1993.04a
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    • pp.75-79
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    • 1993
  • 본 연구에서는 원통형 셀을 Donnell-Mushitari의 Thin Shell로 모델링하고, 유체의 거동은 Hankel 함수를 배제하고 유한차분법(Finite Difference Method)으로 모델링하여, 상태 벡터(State Vector)해석법, 전달 행렬 및 푸리 에 변환(Fourier Transform)을 사용, 무한 원통형 몰수체의 강제 진동을 해 석하였다.

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Sensitivity Analysis of Dynamic Characteristics of Structural Systems by the Transfer Matrix Method and the Combined Finite Element-Transfer Matrix Method (전달매트릭스법 및 유한요소-전달매트릭스 결합방법에 의한 구조계의 동특성 감도해석)

  • D.S. Cho;K.C. Kim
    • Journal of the Society of Naval Architects of Korea
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    • v.29 no.1
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    • pp.143-157
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    • 1992
  • For the design of structural systems having the prescribed or optimum dynamic characteristics, some design changes of the initially designed system are required. In these cases, if the sensitivity analysis which can predict the changes of dynamic characteristics due to the changes of design variables is applied, the design changes can be carried out rationally and very efficiently. For many structural systems, it is well known that the analysis by the transfer matrix method(TMM) and the combined finite element-transfer matrix method(FETMM) is more efficient than the analysis by the finite element method. However, most known studies on the sensitivity analysis of structural systems premise using the finite element method. In this paper, the sensitivity analysis methods by the TMM and the FETMM are presented and some numerical investigations on the beam-column with elastically restrained ends and intermediate contraints and the stiffened plate having subsystems are carried out. The results of the numerical examples show good accuracy and computational efficiency of the presented methods, and show that the application of sensitivity analysis in the dynamic characteristic reanalysis give good results within the practically changeable range of design variables.

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A Study on Dynamic Characteristics Analysis of Spindle Unit for Two-for-One Twister (투포원 연사기용 스핀들 유니트의 동특성 해석에 관한 연구)

  • Kim, Gwang-Yeong;Kim, Jong-Su
    • 연구논문집
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    • s.27
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    • pp.127-139
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    • 1997
  • Two-for-one twister is a kind of textile machine and makes special fancy yarn which is twisted two times per one revolution in order to increase tensile strength and wear resis-tance of yarn. Spindle mechanism has to be stable and continuous motion in high speed revolution, and then optimal design is necessary to analyze dynamic characteristics of spindle unit. Spindle unit is consist of blade and rotary disc that are cylindrical body of revolution. For analysis of the dynamic characteristics of spindle unit, transfer matrix method is used and a numerical code SPINDLE also. Torsion and natural bending frequency of the spindle unit are examined. Its displacement mode is studied in function of variable revolutions.

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Two Dimensional Vibration Analysis of Cranck Shaft by Using Transfer Matrix Method (전달매트릭스법을 이용한 크랭크축의 2차원 진동해석)

  • 김광식;오재응;김만복
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.2
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    • pp.455-462
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    • 1991
  • This paper present an analysis method of crankshaft of four cylinder internal combustion engine for studying dynamic characteristics of the shaft. For simple analysis, uniform sections of journal, pin and arm parts were assumed. Transfer Matrix Method was used, considering branched part and coordinate transformation part. Natural frequencies, natural modes and transfer functions of crank shaft were investigated based upon the Timosenko beam theory: It was shown that the calculated natural frequencies, modeshapes agree well with the experimental results.

Investigation on the Size and Center of Sweet Spot of Golf Club (골프클럽 안정타점영역의 크기와 중심에 관한 연구)

  • 이정윤;마정범;오재응
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.5
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    • pp.992-998
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    • 1992
  • This paper presents a method for dynamic analysis of golf club. In the analysis, the sweet spot of golf club is defined based on the magnitude of torsional vibration, and transfer matrix method is employed for numerical calculations. It is shown that the calculated natural frequencies, mode shapes and transfer function agree well with the experimental results.