• 전산구조공학
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• 제10권1호
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• pp.193-200
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• 1997

탄성지반상의 원형탱크해석에는 여러방법이 있지만 최근에 널리 사용되는 방법은 유한요소법이다. 그러나 이 방법은 탄성지반상의 탱크해석시 많은 절점수가 필요하게 된다. 이것은 곧 많은 계산기 기억용량 및 계산시간 뿐만 아니라 노력이 필요하게 된다. 본 연구에서는 유사탄성지반보(Analogy of Beam on Elastic Foundation) 및 지반강성행렬(Foundation Stiffness Matrix)을 이용하여 축대칭하중을 받는 축대칭탱크를 뼈대 구조화 할 수 있었다. 또한 이 뼈대 구조를 유한요소로 분할하고, 각 요소 강성행렬(Stiffness Matrix)을 전달행렬(Transfer Matrix)로 전환하여 전달행렬법으로 원형탱크를 해석 할 수 있었다. 유한요소법과 전달행렬법을 탄성지반상의 원형탱크 해석에 적용한 결과 두 해석결과의 차이는 없고, 전달행렬법을 적용한 경우 최종 연립방정식수가 4개로 간략화 되었다.

• Structural Engineering and Mechanics
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• 제70권2호
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• pp.199-207
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• 2019

In this paper, a semi-analytical method will be discussed for free vibration analysis of rotating beams with variable cross sectional area. For this purpose, the rotating beam is discretized through applying the transfer matrix method and assumed the axial force is constant for each element. Then, the transfer matrix is derived based on Euler-Bernoulli's beam differential equation and applying boundary conditions. In the following, the frequencies of the rotating beam with constant and variable cross sections are determined using the transfer matrix method in several case studies. In order to eliminate numerical difficulties in the transfer matrix method, the Riccati transfer matrix is employed for high rotation speed and high modes. The results are compared with the results of the finite elements method and Rayleigh-Ritz method which show good agreement in spite of low computational cost.

• 동력기계공학회지
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• 제21권5호
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• pp.48-54
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• 2017

The transfer influence coefficient method which is an vibration analysis algorithm based on the transfer of influence coefficient is applied to the free vibration analysis of double cylindrical shells. After the computational programs for the free vibration analysis of double cylindrical shells were made using the transfer influence coefficient method and the transfer matrix method, we compared the results using the transfer influence coefficient method with those by the transfer matrix method. The transfer influence coefficient method provided the good computational results in the free vibration analysis of double cylindrical shells. In particular, The results of the transfer influence coefficient method are superior to those of the transfer matrix method when the stiffness of internal springs connecting a inside cylindrical shell and a outside cylindrical shell is very large.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2006년도 춘계학술대회논문집
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• pp.774-781
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• 2006

This paper presents a study on the analytical prediction of vibration transmission from helical gears to the bearing. The proposed method is based on the application of the three dimensional helical gear behaviors and complete description of shaft by the spectral method. Helical gear system used in this paper consists of the driving element, helical gears, shafts, bearings, couplings and load element. In order to describe all translation and rotation motion of helical gears twelve degree of freedom equations of motion by the transmission error excitation are derived. Using these equations, transfer matrix for the helical gear is derived. For the detail behavior of shaft motion, the $12{\times}12$ transfer matrix for the shaft is derived. Transfer matrix for the bearing, coupling, driving element, and load is also derived. Application of the boundary conditions in the assembled transfer matrix produces the forces and displacements in each element of the helical gear system. The effect of the proposed method is shown by numerical example.

• 한국구조물진단유지관리공학회 논문집
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• 제15권1호
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• pp.77-84
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• 2011

연속보를 대상으로 한 재료비선형 전달행렬법을 제시하였으며, Gauss-Lobatto 적분법을 사용하여 보의 강성행렬로부터 전달행렬을 도출한다. 전달행렬법에서는 유한요소해석법과는 달리 각 절점의 자유도 수에 상관없이 일정한 미지값만을 가지게 되므로 선형해석뿐만 아니라 비선형해석에서도 빠른 연산속도를 보인다. 연속보에 대한 비선형 해석의 적용 예를 통한 비교 결과, 재료비선형 전달행렬법이 변위-모멘트, 변위-하중, 곡률-모멘트의 관계에서 유한요소해석법에 비해 효율적인 것으로 평가되었다.

• Smart Structures and Systems
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• 제21권4호
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• pp.469-477
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• 2018

This paper presents a numerical solution for the thick cylinders made of functionally graded materials (FGMs) with a constant Poisson's ratio and an arbitrary Young's modulus. We define two fundamental solutions which are derived from an ordinary differential equation under two particular initial boundary conditions. In addition, for the single layer case, we can define the transfer matrix N. The matrix gives a relation between the values of stress and displacement at the interior and exterior points. By using the assumed boundary condition and the transfer matrix, we can obtain the final solution. The transfer matrix method also provides an effective way for the solution of multiply layered cylinder. Finally, a lot of numerical examples are present.

• 한국생산제조학회지
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• 제7권6호
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• pp.110-116
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• 1998

For the vibration analysis of 3-dimensional piping system containing fluid flow, a transfer matrix method is presented. The fluid velocity and pressure were considered, that coupled to longitudinal and flexural vibrations. Transfer matrices and point matrices were derived from direct solutions of the differential equations of motion of pipe conveying fluids, and the variations of natural frequency with flow velocity for 3-dimensional piping system were investigated.

• Structural Engineering and Mechanics
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• 제20권1호
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• pp.111-121
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• 2005

The dynamic interaction of vehicle-bridge is studied by using transfer matrix method in this paper. The vehicle model is simplified as a spring-damping-mass system. By adopting the idea of Newmark-${\beta}$ method, the partial differential equation of structure vibration is transformed into a differential equation irrelevant to time. Then, this differential equation is solved by transfer matrix method. The prospective application of this method in real engineering is finally demonstrated by several examples.

• 한국정밀공학회:학술대회논문집
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• 한국정밀공학회 1995년도 추계학술대회 논문집
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• pp.818-821
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• 1995

A MDOF vibration analysis of the rotor is performed using combined modeling of transfer matrix method and finite element method(FETM). The method combines the advantages of both matrix. Each rotor is modelled using transfer matrix method and treated one element or several ones. The finite element method is applied in composing a system matrix and finding roots. The method used in this is more efficient than conventional finite element method in saving calculation time and provides good results in complex MDOF rotor model.

• Structural Engineering and Mechanics
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• 제2권4호
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• pp.395-402
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• 1994

An improved finite element-transfer matrix method is applied to the transient analysis of plates with large displacement under various excitations. In the present method, the transfer of state vectors from left to right in a combined finite element-transfer matrix method is changed into the transfer of generally incremental stiffness equations of every section from left to right. Furthermore, in this method, the propagation of round-off errors occurring in recursive multiplications of transfer and point matrices is avoided. The Newmark-${\beta}$ method is employed for time integration and the modified Newton-Raphson method for equilibrium iteration in each time step. An ITNONDL-W program based on this method using the IBM-PC/AT microcomputer is developed. Finally numerical examples are presented to demonstrate the accuracy as well as the potential of the proposed method for dynamic large deflection analysis of plates with random boundaries under various excitations.