볼트결합부를 포함한 구조물의 정적 및 동적 해석을 위한 유한요소 모델링

권영두,구남서,김성윤,조민호,Gwon, Yeong-Du,Gu, Nam-Seo,Kim, Seong-Yun,Jo, Min-Ho 대한기계학회 2002 大韓機械學會論文集A Vol.26 No.4

Many studies on the finite element modeling for bolted joints have proceeded, but the structures with bolted joints are complicated in shape and it is difficult to find out the characteristics according to joint condition. Usually, experimental methods have been used for bolted joint analysis. A reliable and practical finite element modeling technique for structure with bolted joints is very important for engineers in industry. In this study, three kinds of model are presented; a detailed model, a practical model and a simple model. The detailed model is modeled by using 3-D solid element and gap element, and the practical model is modeled by using shell element (a portion of bolt head) and beam element (a portion of bolt body), the simple model is modeled by simplifying practical model without using gap elements. Among these models, the simple model has the least degree of freedom and show the effect of memory reduction of 59%, when compared with the detailed model.

Structural damage detection in continuum structures using successive zooming genetic algorithm

권영두,Hyun-Wook Kwon,김화중,Sim-Dong Yeo 국제구조공학회 2008 Structural Engineering and Mechanics, An Int'l Jou Vol.30 No.2

This study utilizes the fine-tuning and small-digit characteristics of the successive zooming genetic algorithm (SZGA) to propose a method of structural damage detection in a continuum structure, where the differences in the natural frequencies of a structure obtained by experiment and FEM are compared and minimized using an assumed location and extent of structural damage. The final methodology applied to the structural damage detection is a kind of pseudo-discrete-variable-algorithm that counts the soundness variables as one (perfectly sound) if they are above a certain standard, such as 0.99. This methodology is based on the fact that most well-designed structures exhibit failures at some critical point due to manufacturing error, while the remaining region is free of damage. Thus, damage of 1% (depending on the given standard) or less can be neglected, and the search concentrated on finding more serious failures. It is shown that the proposed method can find out the exact structural damage of the monitored structure and reduce the time and amount of computation.

연속 최적화 문제에 대한 수렴성이 개선된 순차적 주밍 유전자 알고리듬

권영두,권순범,구남서,진승보,Gwon, Yeong-Du,Gwon, Sun-Beom,Gu, Nam-Seo,Jin, Seung-Bo 대한기계학회 2002 大韓機械學會論文集A Vol.26 No.2

A new approach, referred to as a successive zooming genetic algorithm (SZGA), is Proposed for identifying a global solution for continuous optimization problems. In order to improve the local fine-tuning capability of GA, we introduced a new method whereby the search space is zoomed around the design point with the best fitness per 100 generation. Furthermore, the reliability of the optimized solution is determined based on the theory of probability. To demonstrate the superiority of the proposed algorithm, a simple genetic algorithm, micro genetic algorithm, and the proposed algorithm were tested as regards for the minimization of a multiminima function as well as simple functions. The results confirmed that the proposed SZGA significantly improved the ability of the algorithm to identify a precise global minimum. As an example of structural optimization, the SZGA was applied to the optimal location of support points for weight minimization in the radial gate of a dam structure. The proposed algorithm identified a more exact optimum value than the standard genetic algorithms.

5절점 상당요소에 의한 굽힘문제의 정적해석 및 자유진동해석

권영두,윤태혁,정승갑,박현철,Gwon, Young-Doo,Yun, Tae-Hyeok,Jeong, Seung-Kap,Park, Hyeon-Chul 대한기계학회 1996 大韓機械學會論文集A Vol.20 No.4

In the present study, we consider modified 5-node equivalent solid element which has smallest degree of freedom among 2-dimensional solid elements accounting bending deformation as well as extensional and shear deformations, We shall investigate static and dynamic characteristics of this element, which is very effective in thin beam, thick beam, large displacement problems, beam of variable thickness, and asymmetrically stepped beam, etc., as well as relatively simple problems of beam. The degree of freedom of this element is 10, which is smaller than 18 of 9-node element, 16 of 8-node elemtns, 12 of modified 6-node element and Q6 element. Therefore, this element is expected to broaden the effective range of application of the solid elements in the bending problems further.

초기응력이 있는 탄성체의 선형 및 비선형해석 -플레이트 스트립을 중심으로

권영두,최진민 대한기계학회 1988 대한기계학회논문집 Vol.12 No.4

본 연구에서는 정적 혹은 동적인 하중을 받는 탄성체의 변위, 응력 등을 구할 수 있는 유한요소해석을 하였다. 이 경우에 얻어지는 대수적인 운동방정식은 비선형 적이지만 증분응력이 미소한 경우에는 선형화될 수 있다.따라서 유한요소식의 해법 도 선형적인 경우와 비선형적인 경우로 나누어 생각한다.선형문제에 대한 해법으로 는 (1) 정하중:Gauss소거법, (2) 동하중:모우드에 대한 해석 또는 Newmark의 직접적분 법을 사용했고, 비선형적인 문제에 대한 해법으로는 (1) 정하중:Newton-Raphson반복법, (2) 동하중 :Newton-Raphson 반복법에 의거한 Newmark의 직접적분법을 사용하였다. 비선형적인 문제의 풀이시에는 Newton-Raphson방법으로 반복하여 계산하면서 외력과 등가절점하중의 평형이 이루어지도록 하므로 상당히 많은 양의 계산이 필요한데, 이때 서로 종류가 다른 강성매트릭스의 수치적분시 각기 다른 차수의 Gauss-Legendre 적분 을 시도하여, 발생된 오차 및 계산시간의 변동 등을 고찰하므로써 계산량의 감소방안 을 찾아 보았다. 또한 초기응력이 균일한 경우, 선형해와 비선형해를 비교함으로써 증분응력의 영향을 무시하는 선형해석의 적용타당성을 검토하였다. The present paper develops finite element procedures to calculate displacements, strains and stresses in initially stressed elastic solids subjected to static or time-dependent loading conditions. As a point of departure, we employ Hamilton's principle to obtain nonlinear equations of motion characterizing the displacement in a solid. The equations of motion reduce to linear equations of motion if incremental stresses are assumed to be infinitesimal. In the case of linear problem, finite element solutions are obtained by Newmark's direct integration method and by modal analysis. An analytic solution is referred to compare with the linear finite element solution. In the case of nonlinear problem, finite element solutions are obtained by Newton-Raphson iteration method and compared with the linear solution. Finally, the effect of the order of Gauss-Legendre numerical integration on the nonlinear finite element solution, has been investigated.

초기응력이 있는 탄성체의 선형 및 비선형 해석

권영두,최진민 대한기계학회 1987 대한기계학회 춘추학술대회 Vol.- No.-

3차원 10절점-상당요소에 의한 굽힘문제의 정적.동적해석

권영두,윤태혁 한국전산구조공학회 1997 한국전산구조공학회논문집 Vol.10 No.4

본 논문에서는 등방성판의 인장이나 전단변형은 물론 굽힘문제에도 적용할 수 있는 3차원 고체요소들 중에서 최소의 자유도를 갖는 수정 10절점 상당요소를 제안하였다. 제안된 수정 10절점 상당요소는 Q11요소나 20절점요소로부터 자유도가 줄어듬에 기인한 과대한 굽힘강성을 나타낸다. 이러한 상대적 강성과잉 현상을 수정하기 위한 효과적인 방법으로 가우스 적분점 수정 방법을 제안하였다. 수정량은 포아송 비의 함수이다. 수정 10절점 상당요소의 효과를 여러 가지 예에 적용하여 검증하였다. 제안된 수정 10절점 상당요소에 의한 등방성판의 정적해석과 자유진동 해석의 결과들은 20절점요소를 사용한 결과들과 잘 일치하였다. In this paper, a modified 10-node equivalent solid element(MQM10 element), which has smallest degrees of freedom among 3-dimensional solid elements accounting bending deformation as well as extensional and shear deformations of isotropic plates, is proposed. The proposed MQM10 element exhibits stiffer bending stiffness due to the reduction of degrees of freedom from 20-node element or Q11 element. As an effective way to correct the relative stiffness stiffening phenomenon, the modification equation of Gauss sampling points is proposed. The quantity of modification is a function of Poisson's ratio. The effectiveness of MQM10 element is tested by applying it to several examples. It is noted that the results of static and free vibration analysis of isotropic plates using MQM10 elements show a good agreement with those using 20-node element.

회전식 수문의 중량 최소화에 대한 지지점 위치의 최적설계 ( Optimal Location of Support Point for Weight Minimization in Radial Gate of Dam Structures )

권영두,권순범,구남서,진승보 대한기계학회 2000 대한기계학회 춘추학술대회 Vol.- No.-

The empirical corner stiffness for right-angle frames of rectangular and H-type cross-sections

권영두,권순범,길혁문,조희정 국제구조공학회 2014 Structural Engineering and Mechanics, An Int'l Jou Vol.51 No.3

Until now, the finite corner stiffness of the right-angle frames used as horizontal girders in a bonnet, have not been considered during the design process to result in not a precise result. This paper presents a design equation set for right-angle frames used as horizontal girders in a bonnet assuming rigid corner stiffness. By comparing the center stresses of the right-angle frame according to the design equation set with the results of the finite element method, the master curves for the empirical corner stiffness can be determined as a function of slenderness ratio. A second design equation set for a right-angle frame assuming finite corner stiffness was derived and compared with the first equation set. The master curves for the corner stiffness and the second design equation set can be used to determine the design moments at the centers of the girder so that the bending stresses can be analyzed more precisely.

3차원 10절점-상당요소에 의한 굽힘문제의 정적.동적해석

권영두,윤태혁 한국전산구조공학회 1997 전산구조공학 Vol.10 No.4

In this paper, a modified 10-node equivalent solid element(MQM10 element), which has smallest degrees of freedom among 3-dimensional solid elements accounting bending deformation as well as extensional and shear deformations of isotropic plates, is proposed. The proposed MQM10 element exhibits stiffer bending stiffness due to the reduction of degrees of freedom from 20-node element or Q11 element. As an effective way to correct the relative stiffness stiffening phenomenon, the modification equation of Gauss sampling points is proposed. The quantity of modification is a function of Poisson's ratio. The effectiveness of MQM10 element is tested by applying it to several examples. It is noted that the results of static and free vibration analysis of isotropic plates using MQM10 elements show a good agreement with those using 20-node element. 본 논문에서는 등방성판의 인장이나 전단변형은 물론 굽힘문제에도 적용할 수 있는 3차원 고체요소들 중에서 최소의 자유도를 갖는 수정 10절점 상당요소를 제안하였다. 제안된 수정 10절점 상당요소는 Q11요소나 20절점요소로부터 자유도가 줄어듬에 기인한 과대한 굽힘강성을 나타낸다. 이러한 상대적 강성과잉 현상을 수정하기 위한 효과적인 방법으로 가우스 적분점 수정 방법을 제안하였다. 수정량은 포아송 비의 함수이다. 수정 10절점 상당요소의 효과를 여러 가지 예에 적용하여 검증하였다. 제안된 수정 10절점 상당요소에 의한 등방성판의 정적해석과 자유진동 해석의 결과들은 20절점요소를 사용한 결과들과 잘 일치하였다.