• Journal of the Computational Structural Engineering Institute of Korea
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• v.20 no.3
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• pp.347-352
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• 2007

Eigenvalue reduction schemes approximate the lower eigenmodes that represent the global behavior of the structures. In the previous study, we proposed a two-level condensation scheme (TLCS) for the construction of a reduced system. In the first step, the selection of candidate elements by energy estimation, Rayleigh quotient, through Ritz vector calculation. In the second step, the primary degrees of freedom are selected by the sequential elimination method from the degrees of freedom connected to the candidate elements in the first step. In the present study, we propose TLCS combined with iterative improved reduced system (IIRS) to increase accuracy of the higher modes in the intermediate range. Also, it is possible to control the accuracy of the eigenvalues and eigenmodes of the reduced system. Finally, numerical examples demonstrate the performance of the proposed method.

• Journal of the Computational Structural Engineering Institute of Korea
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• v.21 no.3
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• pp.281-285
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• 2008

Eigenvalue reduction schemes approximate the lower eigenmodes that represent the global behavior of the structures. In the previous study, we proposed a two-level condensation scheme (TLCS) for the construction of a reduced system. And we have improved previous TLCS with combination of the iterated improved reduced system method (IIRS) to increase accuracy of the higher modes intermediate range. In this study, we apply previous improved TLCS to multi-level sub-structuring scheme. In the first step, the global system is recursively partitioned into a hierarchy of sub-domain. In second step, each uncoupled sub-domain is condensed by the improved TLCS. After assembly process of each reduced sub-eigenvalue problem, eigen-solution is calculated by Lanczos method (ARPACK). Finally, Numerical examples demonstrate performance of proposed method.

• Proceedings of the KAIS Fall Conference
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• 2011.12b
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• pp.471-474
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• 2011

본 연구에서는 신뢰성과 효율성을 보장하는 축소기법을 기반으로 비행체 윙의 최적화 기법을 제안한다. 본 연구에서 사용하는 축소기법은 주자유도 기반으로 시스템을 구축하기 때문에, 구조물의 거동에 대해 지배적인 자유도를 잘 선정하는 것이 매우 중요하다. 잘 구성된 축소시스템은 최적화 과정에서 반드시 필요한 민감도 계산에서도 정확한 결과를 제공한다. 본 연구에서는 주자유도 선정을 위해 기존연구에서 신뢰성이 검증된 2단계 축소방법을 사용하였고, IRS에 의해 최종시스템을 구축하였다. 수치예제에서는 구속조건으로 부과되는 등가응력, 고유치 및 민감도는 모두 축소시스템 기반으로 구해지며, 최종적으로 제안된 기법을 통해 구속조건을 잘 만족하면서 목적함수에 대한 최적 결과를 얻을 수 있음을 보인다.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.13 no.10
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• pp.4411-4417
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• 2012

The present study proposes the optimization of wing structure base on reduced model which assures the solution accuracy and computational efficiency. Well-constructed reduced model assures the accurate result in the eigenvalue problem, dynamic analysis or sensitivity of design optimization. Reduced system is classified into the reduce-order model based on structural modes and the reduced system based on degrees of freedom. Because this study uses the reduced system based on degrees of freedom, it is important to select the dominant degrees of freedom properly. For this work, robust selection method, two-level selection scheme, is employed and IRS(Improved Reduced System) is applied to construct the final reduced system. In the optimization process based on the reduced system, all of the equivalent stress, eigenvalue and design sensitivities are calculated from the reduced system. Through a numerical example, it is shown that the present optimization methodology based on the reduction method can provide an optimal results for objective function satisfying constraint condition.

• Journal of Institute of Control, Robotics and Systems
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• v.4 no.1
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• pp.19-25
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• 1998

발란싱 축소모델의 상태변수는 플랜트의 상태변수에 대한 정보를 주지 못한다. 발란싱 축소모델을 좌표 변환하여 얻은 상태유지 축소모델은 그 축소오차가 발란싱 축소모델의 축소오차와 같음을 증명하였다. 상태축소오차를 정의하였고, 이 오차를 구하는 방법을 제시하였는데, 이 오차는 축소모델의 차수가 정해지면 불변임을 증명하였다. 상태유지 축소모델의 상태변수는 그 상태축소오차가 작은 경우 원 시스템의 상태변수를 근사하는 장점이 있다. 상태유지 축소모델을 저차원제어기 설계에 적용하여 저차원 상태변수가 플랜트의 상태변수를 근사하는 예를 보여주었다.

• Journal of the Computational Structural Engineering Institute of Korea
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• v.19 no.2 s.72
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• pp.213-219
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• 2006

Topology optimization problem requires numerous repeated evaluations of objective function and design sensitivity for elements within design domain with various density distributions. The recently proposed two-level condensation scheme(TLCS) is very promising for the construction of reduced system and for an accurate and efficient analysis concerned about eigenvalue and dynamic problems. We used the two-level dynamic condensation scheme for the analysis and sensitivity computation part in the structural topology optimization problem. The results of the topology optimization for the reduced system show the TLCS provides high accuracy and computation efficiency compared to the full scale system within engineering accuracy.

• Journal of the Computational Structural Engineering Institute of Korea
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• v.35 no.1
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• pp.35-44
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• 2022

It is essential to control the lateral displacement and differential axial shortening of the vertical elements in high-rise buildings. Recently, an outrigger or a mega structure system has been adopted to control the lateral displacement. Furthermore, to resolve the problems caused by differential axial shortening in high-rise buildings, analytical prediction and correction is often studied; however, the study on the comparisons of the lateral load resisting systems to address differential axial shortening is less. Therefore, in this paper, a 60-story RC residential building using an outrigger or a mega structure system is analyzed with a construction sequence. Moreover, differential axial shortening can result in an additional member force of structural members and failure of non-structural members. These problems caused by differential axial shortening affects the behaviors and can damage the important structure member in the high-rise buildings. Hence, the effects of the systems on differential axial shortening between the vertical elements in high-rise buildings are studied.

• Proceedings of the Computational Structural Engineering Institute Conference
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• 2009.04a
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• pp.139-145
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• 2009

Reduction scheme is remarkably useful in the case requiring the repeated calculation procedure. Recently, the efficiency of the reduction scheme has been improved by combining scheme of sub-domain method. But, when the global domain is partitioned into a few sub-domains, sub-domains without constraints can be produced. it is needed to extract the ritz vector from each sub-domain to construct the reduced system of each sub-domain. it is easy to extract the ritz vector from sub-domain with constraint. on the other hand, pseudo inverse method should be employed to extract the ritz vector from sub-domain without constraint. generally, the pseudo inverse takes a large number of computing time to obtain a reduced system of a sub-domain without boundary condition. This trouble can be overcome by the reduced pseudo inverse scheme which proposed in this study. This scheme is based on the static condensation that is not related with selection of the primary degrees of freedom. Numerical examples demonstrate that present method saves computational cost effectively and predicts the accurate eigenvalues.

• Journal of the Computational Structural Engineering Institute of Korea
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• v.20 no.1
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• pp.65-73
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• 2007

In the inverse perturbation method, enormous computational resource was required to obtain reliable results, because all unspecified DOFs were considered as unknown variables. Thus, in the present study, a reduced system method is used to condense the unspecified DOFs by using the specified DOFs, and to improve the computational efficiency as well as the solution accuracy. In most of the conventional reduction methods, transformation errors occur in the transformation matrix between the unspecified DOFs and the specified DOFs. Thus it is hard to obtain reliable and accurate solution of inverse perturbation problems by reduction methods due to the error in the transformation matrix. This numerical trouble is resolved in the present study by adopting iterative improved reduced system(IIRS) as well as by updating the transformation matrix at every step. In this reduction method, system accuracy is related to the selection of the primary DOFs and Iteration time. And both are dependent to each other So, the two level condensation method (TLCS) is selected as Selection method of primary DOFs for increasing accuracy and reducing iteration time. Finally, numerical verification results of the present iterative inverse perturbation method (IIPM) are presented.

• Journal of the Korean Institute of Intelligent Systems
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• v.10 no.3
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• pp.242-251
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• 2000

퍼지관계 개념을 응용한 BK-퍼지정보검색기법은 형태론에 입각하는 기존의 정보검색기법과는 달리 문서와 용어의 상대적 의미에 근거한 정보검색 기법이다. 그러나 BK-퍼지정보검색기법은 높은 시간복잡도(time complexity)의 검색 연산을 내재하고 있어 실제 대용량의 정보 검색은 사실상 불가능하다. 본 논문에서는 BK-퍼지검색정보모델의 시간복잡도를 낮추기 위해, 축소용어집합(reduced term set)을 이용한 개선된 BK-퍼지정보검색모델(A-FIRM)을 제안한다. 개선된 BK-FIRM은 시스템 처리시간과 신뢰도 간 상층점(trade-off)을 제공한다. 축소용어집합은 용어집합의 부분집합으로서 검색결과의 신뢰도와 밀접한 관계를 가진다. 동일한 크기의 축소용어집합이 주어질 때, 보다 적절한 용어들로 구성된 축소용어집합이 보다 나은 검색 신뢰도를 이끈다. 따라서 보다 적절한 축소용어집합 구성을 위한 축소용어집합 추출방법이 요구된다. 본 논문에서는 축소용어집합 추출방법을 크게 무작위 추출, 규칙에 의한 추출, 인간에 의한 직관적 추출 방법으로 구분하고 검색결과의 신뢰도 변화 형태를 분석한다.