• Title/Summary/Keyword: 전달 강성계수법

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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 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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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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Vibration Analysis of Structures Using the Transfer Stiffness Coefficient Method and the Substructure Synthesis Method (전달강성계수법과 부분구조합성법을 이용한 구조물의 진동해석)

  • Choi, Myung-Soo
    • Journal of Power System Engineering
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    • v.5 no.4
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    • pp.24-30
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    • 2001
  • The substructure synthesis method(SSM) is developed for overcoming disadvantages of the Finite Element Method(FEM). The concept of the SSM is as follows. After dividing a whole structure into several substructures, every substructures are analyzed by the FEM or experiment. The whole structure is analyzed by using connecting condition and the results of substructures. The concept of the transfer stiffness coefficient method(TSCM) is based on the transfer of the nodal stiffness coefficients which are related to force vectors and displacement vectors at each node of analytical mode1. The superiority of the TSCM to the FEM in the computation accuracy, cost and convenience was confirmed by the numerical computation results. In this paper, the author suggests an efficient vibration analysis method of structures by using the TSCM and the SSM. The trust and the validity of the present method is demonstrated through the numerical results for computation models.

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Sensitivity Analysis of Load Trunsfer of Jointed Concrete Pavements Using 3-D Finite Element Model (3차원 유한요소 모형를 이용한 줄눈 콘크리트포장 하중전달의 민감도 분석)

  • Sun, Ren-Juan;Lim, Jin-Sun;Jeong, Jin-Hoon
    • International Journal of Highway Engineering
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    • v.10 no.2
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    • pp.145-157
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    • 2008
  • Load transfer efficiency (LTE) reflects the structural performance of doweled and undoweled joints of Jointed Concrete Pavement (JCP). A 3-dimensional (3-D) model of JCP was built using ABAQUS software in this study. Three concrete slabs were placed on bonded sublayers composed of a base and subgrade. Spring elements were used to connect the adjacent slabs at joints. Different spring constants were input to the model to simulate different joint stiffness of the concrete pavement. The LTE of the joint increased with an increase of the spring constant. The effects of material properties and geometric shape on the behavior of JCP were analyzed using different elastic modulus and thickness of the slab and base in the modeling. The results showed the elastic modulus of the subgrade affected the behavior of the slab and LTE more than that of the base and the thickness of the slab and base. The effects of a negative temperature gradient on the behavior of the slab and LTE were more than that of positive and zero temperature gradients. Joints with low stiffness were more sensitive to the temperature gradient of the slab.

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Structural Analysis of Plate Structures by Transfer of Stiffness Coefficient (강성계수의 전달에 의한 평판 구조물의 구조해석)

  • Choi, Myung-Soo
    • Journal of Power System Engineering
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    • v.11 no.1
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    • pp.92-97
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    • 2007
  • It is important to compute the structural analysis of plate structures in structural design. In this paper, the author uses the finite element-transfer stiffness coefficient method (FE-TSCM) for the structural analysis of plate structures. The FE-TSCM is based on the concept of the successive transmission of the transfer stiffness coefficient method and the modeling technique of the finite element method (FEM). The algorithm for in-plane structural analysis of a rectangular plate structure is formulated by using the FE-TSCM. In order to confirm the validity of the FE-TSCM for structural analysis of plate structures, two numerical examples for the in-plane structural analysis of a plate with triangular elements and the bending structural analysis of a plate with rectangular elements are computed. The results of the FE-TSCM are compared with those of the FEM on a personal computer.

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A Study on the Static Sensitivity Analysis Algorithm Using the Transfer of Stiffness Coefficient (강성계수의 전달을 이용한 정적 감도해석 알고리즘에 관한 연구)

  • Choi, Myung-Soo
    • Journal of Power System Engineering
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    • v.5 no.4
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    • pp.82-89
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    • 2001
  • To design a structural or a mechanical system with the best performance, the main procedure of a typical design usually consists of repeated modifications of design parameters and the investigation of the system response for each set of these parameters. But this procedure requires much time, effort and experience. Sensitivity analysis can provide systematic information for improving performance of a system. The author has studied on the development of the structural analysis algorithm and suggested recently the transfer stiffness coefficient method(TSCM). This method is very suitable algorithm to a personal computer because the concept of the TSCM is based on the transfer of the nodal stiffness coefficients which are related to force and displacement vectors at each node. In this paper, a new sensitivity analysis algorithm using the concept of the TSCM is formulated for the computation of state variable sensitivity in static problems. The trust of the proposed algorithm is confirmed through the comparison with the computation results using existent sensitivity analysis algorithm and reanalysis for computation models.

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A Study on the Improvement of Vibration Environment by Wave Barrier (방진벽에 의한 진동 환경 개선 연구)

  • Huh, Young
    • Journal of the Earthquake Engineering Society of Korea
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    • v.4 no.4
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    • pp.63-71
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    • 2000
  • 대부분의 경우 지반을 통해 전달되는 진동을 줄이기 위해 사용되는 방진벽의 차진효율은 지반 위 한 점에서의 진폭저감계수로 표현되고 있다. 그러나 한 점에서의 진동차단 효율은 일정 지역의 평균값과 많은 차이를 보이고 있어, 일정 단지의 진동환경 개선에 요구되는 경우, 한 점에서의 값만으로 차진효율을 표현하는 것은 적합하지 않다. 이를 위해 본 논문에서는 단지 내 진동환경 개선의 판단방법을 제시하고, 방진벽의 기하학적 규모가 방진벽의 진동차단 효율에 미치는 영향을 경계요소법을 이용하여 구하였다. 해석결과에 의하면 강성 방진벽의 경우, 단면적인 방진벽의 차진성능에 큰 영향을 미치는 것으로 나타났다.

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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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A Study on the Forced Torsional Vibration of Engines Shafting Systems with Non-linear Elastic Couplings (비선형 탄성커플링을 갖는 기관축계의 비틀림강제진동에 관한 연구)

  • 박용남
    • Journal of Advanced Marine Engineering and Technology
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    • v.22 no.3
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    • pp.328-336
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    • 1998
  • Marine reduction gears are usually used to increase the propulsion efficiency of propellers for ships powered by medium and small sized high speed diesel engines. Most of shaft systems adopt flexible couplings to absorb the transmitted vibratory torque from the engines to the reduction gears and to prevent the chattering phenomenon of reduction gears. However some elastic couplings show non-linear characteristics due to the variable torque transmitted from the main engines and the change of ambient temperature. In this study dynamic characteristics of flexible couplings sare investigated and their effects upon various vibratory conditions of propulsion systems are clarified. A calculation program of torsional vibration for the propulsion systems are clarified. A calculation program of Results of the program developed are compared with ones of the existing linear method and propulsion systems with the elastic couplings the transfer matrix method is adopted which is found to give satisfied results.

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