• Title/Summary/Keyword: Two-Level Condensation Scheme

Search Result 19, Processing Time 0.024 seconds

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
    • /
    • v.20 no.3
    • /
    • pp.347-352
    • /
    • 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
    • /
    • v.21 no.5
    • /
    • pp.439-450
    • /
    • 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.

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
    • /
    • v.20 no.1
    • /
    • pp.57-63
    • /
    • 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.

Two-Level Scheme for Selection of Degrees of freedom by Energy Estimation Combined with Sequential Elimination (주자유도 선정을 위한 2단계 축소기법의 제안과 축소시스템 구성에 관한 연구)

  • 김현기;조맹효
    • Proceedings of the Computational Structural Engineering Institute Conference
    • /
    • 2004.04a
    • /
    • pp.87-94
    • /
    • 2004
  • A number of approximate techniques have been developed to calculate the eigenvalues in a reduced manner. These schemes approximate the lower eigenvalues that represent the global behavior of the structures. In general, sequential elimination has been widely used with reliability. But it takes excessively large amount of time to construct a reduced system. The present study proposes two-level condensation scheme(TLCS). In the first step, the candidate elements are selected by element-level energy estimation. In the second step, master degrees of freedom are selected by sequential elimination from the candidate degrees of freedom linked to the selected elements in the first step. Numerical examples demonstrate that the proposed method saves computational cost effectively and provides a reduced system which predicts the accurate eigenvalues of global system.

  • PDF

Structural System Identification using adaptive design domain approach (적응성 설계영역 기법을 이용한 구조 시스템 식별)

  • Jang, Seong-Min;Baek, Sung-Min;Cho, Meang-Hyo
    • Proceedings of the Computational Structural Engineering Institute Conference
    • /
    • 2009.04a
    • /
    • pp.146-150
    • /
    • 2009
  • 구조 시스템 식별은 역문제로서 이상화된 유한요소 모델을 실험치와 일치시키기 위해 유한요소모델을 보정하는 형태로 주로 이루어진다. 이를 위해 비선형 섭동법이 사용되고 있으며 이 방법을 실제 문제에 사용하기 위해서 시스템 축소법에 대한 연구가 진행 되고 있다. 하지만 기존의 방법에서는 유한요소모델의 모든 요소가 실험치와 다르다고 가정하여서 전체 요소 수만큼의 설계 변수를 두어서 역해석을 수행한다. 이런 기존의 방법에서는 시스템이 커짐에 따라 연산 시간이 기하급수적으로 증가하게 되어 어려움이 있다. 설계 변수의 증가는 해공간(solution space)의 확장을 의미하며 이는 해의 정확성에 큰 영향을 끼친다. 본 연구에서는 모델을 적은 수의 설계영역으로 나누어서 반복연산 단계마다 해의 경향성을 이용해서 설계 영역을 전략적으로 변경하는 적응성 설계영역기법을 제안한다. 수치예제를 통해 본 연구에서 제안하는 기법의 정확도와 효용성을 고찰한다.

  • PDF

A Study of the Effective Transformation of Dynamic Loads into Equivalent Static Loads using System Reduction Methods (효율적인 등가정하중 변환을 위한 축소기법과의 연동에 관한 연구)

  • Kim, Eui-Young;Cho, Maeng-Hyo
    • Proceedings of the Computational Structural Engineering Institute Conference
    • /
    • 2010.04a
    • /
    • pp.175-178
    • /
    • 2010
  • 동하중의 영향을 받는 구조물의 효율적인 구조 해석 및 최적화 수행을 위해 동하중을 등가정하중으로 변환하는 방법이 요구된다. 이 때 적절한 자유도를 선정하여 등가정하중을 부여하는 것이 중요하다. 기존방법에서는 시스템 축소기법을 통해 일정 개수 이상의 주자유도를 선택하여 등가정하중을 부여하고 그 결과 변위가 동하중 하에서의 변위와 같도록 하였다. 그러나 보수적인 결과를 얻기 위한 제한 조건의 지배적인 성격으로 인하여 등가정하중 하에서의 변위가 지나치게 크게 나타나 그 효율성이 떨어지게 되었다. 본 연구에서는 등가정하중의 변환에 있어서 효율성을 높이는 방안을 제안한다. 제안기법은 보수적 결과를 얻는 범위 내에서 과도응답해석 결과와의 오차를 크게 줄일 수 있다. 수치예제를 통해 제안기법의 결과를 기존 기법의 결과와 비교해본다.

  • PDF

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
    • /
    • v.30 no.9 s.252
    • /
    • pp.1062-1069
    • /
    • 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.

Wing Optimization based on a Reduced System (축소시스템 기반 비행체 날개 최적화 연구)

  • Kim, Hyun-Gi;Choi, In-Ho
    • Journal of the Korea Academia-Industrial cooperation Society
    • /
    • v.13 no.10
    • /
    • pp.4411-4417
    • /
    • 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.

Synthetic method and insecticidal activity of ricinine (Ricinine의 합성법 및 살충활성)

  • Kwon, Oh-Kyung;Lim, Soo-Kil;Choi, Dal-Soon;Kyung, Suk-Hun
    • The Korean Journal of Pesticide Science
    • /
    • v.2 no.1
    • /
    • pp.18-23
    • /
    • 1998
  • In order to obtain leading compound for the development of new pesticide through the organic synthesis of natural products, the synthesis of ricinine, an active compound of Ricinus communis, was established and biological activities of synthetic compounds against insects were examined. The synthetic scheme of ricinine was composed of four steps by the spontaneous condensation of the cyanoacetyl chloride. A modified synthetic process was also estabilshed to enhance the synthetic yield by simple cyclization of ethoxymethylene malononitrile. In the bioassay results of synthetic ricinine and intermediates on four insects, the mortality of ricinine on brown planthopper (BPH, Nilaparvata lugens) and pea weevil(PW, Bruchus rufimanus) was 80% and 75% at the concentration of 1,000 ${\mu}g/ml$ respectively. Chloronorricinine and chlororicinic acid having chloride group in molecular structure gave 60% mortality on two-spotted mite (TSSM, Tetranychus urticae) at the concentration of 500 ${\mu}g/ml$. The mortality of compounds on house mosquito (HM, Culex pipens pallens) was meager at 10 ${\mu}g/ml$ level.

  • PDF