• Title/Summary/Keyword: 2 단계축소법

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Structural Topology Optimization Using Two-level Dynamic Condensation Scheme (2단계 동적 축소법을 적용한 구조물의 위상 최적 설계)

  • Park Soo-Hyun;Kim Hyun-Gi;Cho Maeng-Hyo
    • 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.

Construction of the reduced system by two-level scheme and time integration in the reduced system under arbitrary loading (2단계 축소기법에 의한 축소시스템의 구성과 동하중에 의한 구조물의 동적 거동에 관한 연구)

  • Kim, Hyun-Gi;Cho, Maeng-Hyo
    • Proceedings of the KSME Conference
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    • 2004.11a
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    • pp.453-458
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    • 2004
  • This study proposes a new two-level condensation scheme for the construction of a reduced system. In the first step, the candidate area is selected for the construction of the reduced system by energy estimation in element-level. In the second step, primary degrees of freedom are selected by sequential elimination from the candidate degrees of freedom linked to the selected elements. Numerical examples demonstrate that the proposed method saves the computational cost effectively and provides a reduced system which predicts the eigenvalues accurately. Moreover, the well-constructed reduced system can present the reliable behavior of the structure under arbitrary dynamic loads comparing to that of global system. Time integration in a reduced system can save the computing time remarkably. Through a few numerical examples, the efficiency and reliability of the proposed scheme are verified.

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Study on the Efficient Dynamic System Condensation (동적 해석의 효율적 축소기법에 관한 연구)

  • Baek, Seung-Min;Kim, Ki-Ook;Cho, Maeng-Hyo
    • 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.

Study on the Dynamic Analysis Based on the Reduced System (축소모델 기반 구조물의 동적해석 연구)

  • Kim, Hyung-Gi;Cho, Maeng-Hyo
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.21 no.5
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    • pp.439-450
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    • 2008
  • In this study, the reduced system for the dynamic analysis is proposed and the selection criterion of the primary degrees of freedom is presented considering the relation between natural frequency and external loading frequency. A well-constructed reduced system can assure the accurate representation of the dynamic behavior under arbitrary dynamic loads. For selecting the primary degrees of freedom of the reduced system, we employ the robust two-level condensation scheme of which the reliability has been proven through previous study. In the numerical examples, the reliability of the dynamic analysis based on the reduced system is demonstrated through comparing with those of global system.

Analytical Study on Performance Evaluation of Large-Sized Silencer using Geometric Similarity Law (기하상사법을 이용한 대형 소음기의 성능평가에 관한 해석적 연구)

  • Yang, Jun-Hyuk;Lee, Boo-Youn;Kim, Won-Jin
    • Journal of Advanced Marine Engineering and Technology
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    • v.34 no.2
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    • pp.275-281
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    • 2010
  • In this paper, a geometric similarity law is introduced to the performance test of a large-sized silencer used in ship engine or plant system. A test of scale-down model enable to yield the cost and time saving in developing large-sized silencer considerably. Two types of silencer, resonator and expansion chamber, were analyzed by a theoretical method and an acoustical FEM(finite element method) in order to obtain geometric similarity variables. A method is proposed to estimate the transmission loss of prototype model using the test results of scale-down model. Two actual large-sized silencer, which consist of resonator and expansion chamber, were analysed by an acoustical FE analysis. Consequently, the proposed method predicts effectively the performance of prototype silencers using those of scale-down models.

Analysis of Concrete Frame Structures Considering the Construction Sequences (시공단계를 고려한 콘크리트 프레임 구조물의 해석)

  • 곽효경;서영재
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.12 no.2
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    • pp.171-184
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    • 1999
  • 이 논문은 시공단계를 고려한 콘크리트 프레임 구조물의 거동 해석을 다루고 있다. 고층건물의 경우 하루에 시공이 완료되지 않으므로 각 시공단계에 따라 콘크리트의 시간의존적 현상은 다르게 발생된다. 이를 위하여 이 논문에서는 일반적인 프레임 해석기법에 콘크리트의 시간의존적 특성을 고려하였다. 이 연구에 도입된 해석기법은 단면을 가상의 층으로 나누고 각층은 일축상태로 가정한 적층단면을 사용하였다. 요소는 평면 보요소를 사용하였으며 강성행렬은 변위법을 바탕으로 유도하였고 전체적인 구조해석은 비선형 구조해석 방법의 하나인 복합법을 사용하였다. 콘크리트의 시간의존적 특성을 고려하기 위하여 단면의 각 층에서 크리프와 건조수축에 의한 변형률을 계산하였으며 크리프는 크리프 Compliance의 전개에 기본을 둔 1차 순환적 단계 알고리즘을 사용하였다. 끝으로 이 연구에서 제안된 해석모델을 이용하여 프레임해석 및 기둥축소에 관한 예제를 해석하였다.

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Structural System Identification by Iterative IRS (반복적 IRS를 이용한 구조 시스템 식별)

  • Baek, Sung-Min;Kim, Hyun-Gi;Kim, Ki-Ook;Cho, Maeng-Hyo
    • 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.

Study on the Reduced System Based on the Sub-Domain Method (영역분할 기법에 기초한 축소시스템 구축에 관한 연구)

  • Kim, Hyun-Gi;Cho, Maeng-Hyo;Kim, Hyuk;Choi, Hyoung-Gil;Choi, Jae-Rack
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.30 no.9 s.252
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    • pp.1062-1069
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    • 2006
  • Reduction schemes approximate the lower eigenvalues that represent the global behavior of the structures. But, they are not efficient to be applied to large-scaled problems because these schemes require considerable amount of computing time in constructing reduced one from the original large-scaled systems. In addition, the selection of the primary degrees of freedom might be localized to cause the excessive emphasis of the lower mode or lost of the important modes. In the present study, a new reduction method combined with the subdomain method is proposed. For the construction of the final reduced system the system of each domain subdivided into primary, slave and interface degrees of freedom. It is remarkably efficient and accurate comparable to full-scale system. Numerical examples demonstrate that the proposed method saves computational cost effectively and provides a reduced system which predicts accurate eigen-pairs of global system.

Hierarchical Height Reconstruction of Object from Shading Using Genetic Algorithm (유전자 알고리즘을 이용한 영상으로부터의 물체높이의 계층적 재구성)

  • Ahn, Eun-Young;Cho, Hyung-Je
    • The Transactions of the Korea Information Processing Society
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    • v.6 no.12
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    • pp.3703-3709
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    • 1999
  • We propose a new approach to reconstruct the surface shape of an object from a shaded image. We use genetic algorithm instead of gradient descent algorithm which is apt to take to local minima and also proposes genetic representation and suitable genetic operators for manipulating 2-D image. And for more effective execution, we suggest hierarchical process to reconstruct minutely the surface of an object after coarse and global reconstruction. A modified Lambertian illumination model including the distance factor was herein adopted to get more reasonable result and an experiment was performed with synthesized and real images to demonstrate the devised method, of which results show the usefulness of our method.

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Transformation of Dynamic Loads into Equivalent Static Loads by the Selection Scheme of Primary Degrees of Freedom (주자유도 선정 기법에 의한 동하중의 등가 정하중으로의 변환)

  • Kim, Hyun-Gi;Cho, Maeng-Hyo
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.20 no.1
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    • pp.57-63
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    • 2007
  • The systematic method to construct equivalent static load from a given dynamic load is proposed in the present study. Previously reported works to construct equivalent static load were based on ad hoc methods. Due to improper selection of loading position, they may results in unreliable structural design. The present study proposes the employment of primary degrees of freedom for imposing the equivalent static loads. The degrees of freedom are selected by two-level condensation scheme with reliability and efficiency. In several numerical examples, the efficiency and reliability of the proposed scheme is verified by comparison displacement for equivalent static loading and dynamic loading at the critical time.