• 한국정밀공학회지
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• 제29권10호
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• pp.1050-1055
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• 2012

The bearing coupling section of machine tools is the most important factor to determine their static/dynamic stiffness. To ensure the proper performance of machine tools, the static/dynamic stiffness of the rotating system has to be predicted on the design stage. Various parameters of the bearing coupling section, such as the spring element, node number and preload influence the characteristics of rotating systems. This study focuses on the prediction of the static and dynamic stiffness of the rotating system with the bearing coupling section using the finite element (FE) model. MATRIX 27 in ANSYS has been adopted to describe the bearing coupling section of machine tools because the MATRIX 27 can describe the bearing coupling section close to the real object and is applicable to various machine tools. The FE model of the bearing couple section which has the sixteen node using MATRIX 27 was constructed. Comparisons between finite element method (FEM) predictions and experimental results were performed in terms of the static and dynamic stiffness.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 2005년도 ICCAS
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• pp.631-637
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• 2005

This paper presents a stiffness analysis method for a low-DOF parallel manipulator, which takes into account of elastic deformations of joints and links. A low-DOF parallel manipulator is defined as a spatial parallel manipulator which has less than six degrees of freedom. Differently from the case of a 6-DOF parallel manipulator, the serial chains in a low-DOF parallel manipulator are subject to constraint forces as well as actuation forces. The reaction forces due to actuations and constraints in each limb can be determined by making use of the theory of reciprocal screws. It is shown that the stiffness model of an F-DOF parallel manipulator consists of F springs related to the reciprocal screws of actuations and 6-F springs related to the reciprocal screws of constraints, which connect the moving platform to the fixed base in parallel. The $6{times}6$ stiffness matrix is derived, which is the sum of the stiffness matrices of actuations and constraints. The six spring constants can be precisely determined by modeling the compliance of joints and links in a serial chain as follows; the link can be considered as an Euler beam and the stiffness matrix of rotational or prismatic joint can be modeled as a $6{times}6$ diagonal matrix, where one diagonal element about the rotation axis or along the sliding direction is zero. By summing the elastic deformations in joints and links, the compliance matrix of a serial chain is obtained. Finally, applying the reciprocal screws to the compliance matrix of a serial chain, the compliance values of springs can be determined. As an example of explaining the procedure, the stiffness of the Tricept parallel manipulator has been analyzed.

• 대한기계학회논문집A
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• 제30권4호
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• pp.387-392
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• 2006

This paper predicts the modified mass and stiffness of structure using the sensitivity coefficients with the iterative method. The sensitivity coefficients are obtained by the change of the eigenvectors according to structural modification. The method is applied to an examples of a 3 degree of freedom system by modifying mass and stiffness. The predicted mass and stiffness are in good agreement with these from the structural reanalysis using the modified mass and stiffness.

• 한국전산구조공학회논문집
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• 제26권2호
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• pp.99-112
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• 2013

이 논문은 부분공간 시스템 확인기법을 이용하여 전단빌딩의 강성행렬과 부재의 강성을 추정하는 기법을 소개한다. 시스템 행렬은 입력-출력 데이터로 구성된 행켈행렬을 LQ 분해와 특이치 분해를 통해 추정한다. 추정된 시스템 행렬은 닮음 변환을 통해 실제 좌표축으로 변환하고, 변환된 시스템 행렬로부터 강성행렬을 계산한다. 추정된 강성행렬의 정확성과 안정성은 행켈행렬의 크기에 따라 변한다. 전단빌딩의 기저 유한요소 모델을 이용하여 행켈행렬의 크기에 따른 강성행렬의 추정 오차 곡선을 구한다. 오차 곡선을 이용하여 목표 정확도 수준에 부합하는 행켈행렬의 크기들을 결정한다. 이렇게 선택된 행렬의 크기들 중에서 부분공간 시스템 확인의 계산비용을 고려하여 보다 적절한 행렬의 크기를 결정할 수 있다. 결정된 크기의 행켈행렬을 이용하여 강성행렬을 추정하고 추정된 강성행렬로부터 부재의 강성을 추정한다. 제안된 방법을 손상 전후의 5층 전단빌딩 수치 예제에 적용하여 타당성을 검증한다.

• Structural Engineering and Mechanics
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• 제46권1호
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• pp.1-17
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• 2013

In this study, the modified finite element- transfer matrix methods are proposed for free vibration analysis of asymmetric structures, the bearing system of which consists of shear wall-frames. In the study, a multi-storey structure is divided into as many elements as the number of storeys and storey masses are influenced as separated at alignments of storeys. The shear walls and frames are assumed to be flexural and shear cantilever beam structures. The storey stiffness matrix is obtained by formulating the governing equation at the center of mass for the shear walls and the frames in the i.th floor. The system transfer matrix is constructed in the dimension of $6{\times}6$ by transforming the obtained stiffness matrix. Thus, the dimension, which is $12n{\times}12n$ in classical finite elements, is reduced to the dimension of $6{\times}6$. To study the suitability of the method, the results are assessed by solving two examples taken from the literature.

• 한국소음진동공학회논문집
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• 제26권2호
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• pp.179-186
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• 2016

This paper presents a numerical method that can evaluate the effect of crack for the in-plane bending vibration of Timoshenko beam. The method is a transfer matrix method that the element transfer matrix is deduced from the element dynamic stiffness matrix. An edge crack is expressed as a rotational spring, and then is formulated as an independent transfer matrix. To demonstrate the accuracy of this theory, the results computed from the present are compared with those obtained from the commercial finite element analysis program. Based on these comparison results, a parametric study is performed to analyze the effects for the size and locations of crack.

• 한국전산구조공학회논문집
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• 제15권3호
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• pp.463-469
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• 2002

탄성지반 위에 놓인 보-기둥 요소의 총포텐셜 에너지로부터 변분원리를 적용하여 지배방정식과 힘-변위 관계식을 유도하였다. 4계 상미분방정식 형태의 지배방정식을 4개의 변위 파라메타를 도입하여 1계 연립미분방정식 형태의 선형 고유치 문제로 전환하고, 힘-변위 관계식을 적용하여 엄밀한 정적, 동적 요소강성행렬을 유도하였다. 직접강성법을 이용하여 구조물 강성행렬을 구하고, 2차원 보-기둥구조의 엄밀한 좌굴하중과 고유진동수를 구하고, 결과를 유한요소해와 비교함으로써 본 연구의 타당성을 검증하였다. 이러한 엄밀한 해석방법은 Hermitian 다항식을 형상함수로 도입하여 요소의 강성행렬을 산정하는 유한요소법과 비교할 때, 요소의 수를 대폭 줄일 수 있는 장점이 있다.

• Structural Engineering and Mechanics
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• 제44권3호
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• pp.363-378
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• 2012

The stiffness of a suspension system is provided by the bushings and the stiffness of the wheel center controls the suspension's elasto-kinematic (e-k) specification. So the stiffness of the wheel center is very important, but the stiffness of the wheel center is very hard to measure. The paper give a new method that we can use the stiffness of the bushings to calculate the equivalent stiffness of the wheel center, which can quickly and widely be used in all kinds of suspension structure. This method can also be used to optimize and design the suspension system. In the example we use the method to calculate the equivalent stiffness of the wheel center which meets the symmetric and positive conditions of the stiffness matrix.

• 한국전산구조공학회논문집
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• 제16권1호
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• pp.9-18
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• 2003

파양한 구조물의 정적해석에서 매트릭스구조해석법은 가상 폭넓게 사용되고 있는 강력한 해석기법이다. 그러나 이 방법으로 많은 수의 자유도를 갖는 구조물을 정확히 해석하기 위해서는 많은 계산 메모리와 빠른 처리 능력을 갖춘 고성능 컴퓨터를 필요로하는 취약점이 있다. 따라서 매트릭스구조해석법으로 많은 수의 자유노를 갖는 구조물을 퍼스널 컴퓨터 상에서 정확히 해석하기에는 곤란한 경우가 많다. 매트릭스구조해석법치 이러한 취약점을 극복하기 위하여, 저자들은 전달강성계수법을 제안한다. 전달강성계수법은 해석대상 구조물에 대한 강성계수의 전달에 기본 개념을 두고 있으am로 퍼스널 컴퓨터에 매우 적합한 해석기법이다. 본 논문에서는 골조추조물에 대한 정적해석 알고리듬을 전달강성계수법으로 정식화한다. 그리고 전달강성계수법, NASTRAN, 매트릭스구조해석법 그리고 해석해에 의한 계산 결과들의 비교를 통해 전달강성계수법의 유효성을 확인한다.

• 대한기계학회논문집A
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• 제20권4호
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• pp.1225-1232
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• 1996

In this paper the vibration and power flow analysis for the branched piping system conveying fluid are performed by wave approach. The uniform straight pipe element conveying fluid is formulated using the dynamic stiffness matrix by wave approach. The branched piping system conveying fluid can be easily formulated with considering of simple assumptions of displacements at the junction and continuity conditions of the pipe internal flow. The dynamic stiffness matrix for each uniform straight pipe element can be assembled by using the global assembly technique using in conventional finite element method. The computational method proposed in this paper can easily calculate the forced responses and power flow of the branched piping system conveying fluid regardless of finite element size and modal properties.