• Title/Summary/Keyword: 동적 축소법

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Proper Orthogonal Decomposition Based Intrusive Reduced Order Models to Accelerate Computational Speed of Dynamic Analyses of Structures Using Explicit Time Integration Methods (외연적 시간적분법 활용 동적 구조해석 속도 향상을 위한 적합직교분해 기반 침습적 차수축소모델 적용 연구)

  • Young Kwang Hwang;Myungil Kim
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.37 no.1
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    • pp.9-16
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    • 2024
  • Using the proper orthogonal decomposition (POD) based intrusive reduced order model (ROM), the total degrees of freedom of the structural system can be significantly reduced and the critical time step satisfying the conditional stability increases in the explicit time integrations. In this study, therefore, the changes in the critical time step in the explicit time integrations are investigated using both the POD-ROM and Voronoi-cell lattice model (VCLM). The snapshot matrix is composed of the data from the structural response under the arbitrary dynamic loads such as seismic excitation, from which the POD-ROM is constructed and the predictive capability is validated. The simulated results show that the significant reduction in the computational time can be achieved using the POD-ROM with sufficiently ensuring the numerical accuracy in the seismic analyses. In addition, the validations show that the POD based intrusive ROM is compatible with the Voronoi-cell lattice based explicit dynamic analyses. In the future study, the research results will be utilized as an elemental technology for the developments of the real-time predictive models or monitoring system involving the high-fidelity simulations of structural dynamics.

Dynamic Power Estimation Method of VLSI Interconnects (VLSI 회로 연결선의 동적 전력 소모 계산법)

  • 박중호;정문성;김승용;김석윤
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.41 no.2
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    • pp.47-54
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    • 2004
  • Up to the present, there have been many works to analyze interconnects on timing aspects, while less works have been done on power aspects. As resistance of interconnects and rise time of signals increase, power consumption associated with interconnects is ever-increasing. In case of clock trees, particularly power consumption associated with interconnects is over 30% of total power consumption. Hence, an efficient method to compute power consumption of interconnects is necessary and in this paper we propose a simple yet accurate method to estimate dynamic power consumption of interconnects. We propose a new reduced-order model to estimate power consumption of large interconnects. Through the proposed model which is directly derived from total capacitance and resistance of interconnects, we show that the dynamic power consumption of whole interconnects can be approximated, and propose an analytical method to compute the power consumption. The results applying the proposed method to various RC networks show that average relative error is 1.86% and maximum relative error is 9.82% in comparison with HSPICE results.

Analysis for Dynamic Characteristics of T-shaped structure using Sensitivity Analysis and Reduced Impedance Method (감도해석과 축소임피던스합성법을 이용한 T형 구조물의 동특성 해석에 관한 연구)

  • 오재응;류지우;조준호
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1994.10a
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    • pp.231-237
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    • 1994
  • 컴퓨터의 눈부신 발달에 힙입어 실험 또는 해석적 방법으로 일반 구조물이나 기계구조물의 진동특성을 손쉽고 정확하게 파악하는 것이 가능하게 되었다. 그런데 최근의 산업현장은 지금까지의 정확한 구조해석에만 그치지 않고 이를 바탕으로 강도 개선, 재료 절감을 통한 원가절감, 중량 최소화 문제등의 차원에서 동적인 특성의 변경을 요구하고 있다. 이러한 문제는 그 중요성에도 불구하고 여전히 설계자의 경험이나 시행착오에 의존하고 있는 실정이다. 본 연구에서는 구조물 결합부분에 주목하여 동특성의 변경 문제를 해석하고자 하였다. 즉 거의 모든 구조물이 결합부를 가지고 있는데 결합부 특성을 정확히 파악할 수 없기 때문에 리벳이나 보울트나 어떤 특수한 형태 결합부가 구조물의 특성에 주는 영향을 예측하기 어렵다. 이러한 결합부이 특성을 알아내고 구조물 동특성 변경 및 개선안을 제시하는 최적설계를 위해 감도해석기법은 아주 유효하게 쓰일 수 있다. 한편 구조물의 대형화, 복잡화는 구조물 동특성 해석에 더욱 많은 계산시간과 용량이 큰 전자계산기를 필요로 하게 되었으며, 분계의 결합부위가 변경되거나 결합형태가 변했을 때 전계의 동특성을 다시 해석할 필요없이 분계만의 정보로부터 전계의 동특성을 알아낼 필요가 생겼다. 이러한 의미에서 구조물의 분계로부터 전계의 동특성을 해석을 위한 부분구조합성법이 대두되게 되었다. 본 연구에서는 이러한 감도해석과 부분구조합성법의 공통된 문제를 일치화하고자 하였다. 즉 감도해석기법을 이용하여 필요한 구조물의 동특성에 부합하는 결합부의 최적한 설계변수를 규명하였고 이렇게 구해진 결합부의 설계변수와 분계의 정보를 알고리즘이 비교적 간단하고 오차가 적은 축소임피던스 합성법에 적용하여 전계의 동특성을 해석함으로써 감도해석기법과 축소임피던스 합성법의 통합적용이 최적설계와 이에 따른 동특성 해석에 효과적인 방법임을 보이고자 하였다. 대상구조물은 구조물 결합의 기본적인 형태인 T형을 선택하였다. T형 구조물은 분계 A(16개의 사각요소)와 분계 B(8개의 사각요소)로 이루어져 있으며 두개의 스프링으로 결합되어 있다. 설계변수는 강성에 국한하였으며 결합부의 결합형태는 탄성결합과 강결합으로 하였다. 감도해석과 축소임피던스 합성법에 의해 구해진 고유진동수와 FRF를 상용 유한 요소 해석 패키지인 MSC/NASTRAN을 통하여 검증하여 이 연구의 타당성을 검토하였다.

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Study of Effects of Measurement Errors in Damage Detection (동적 측정오차가 손상탐지에 미치는 영향에 관한 연구)

  • Kim, Ki-Ook
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.39 no.3
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    • pp.218-224
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    • 2011
  • A modal method is presented for the investigation of the effects of measurement errors in damage detection for dynamic structural systems. The structural modifications to the baseline system result in the response changes of the perturbed structure, which are measured to determine a unique system in the inverse problem of damage detection. If the numerical modal data are exact, mathematical programming techniques can be applied to obtain the accurate structural changes. In practice, however, the associated measurement errors are unavoidable, to some extent, and cause significant deviations from the correct perturbed system because of the intrinsic instability of eigenvalue problem. Hence, a self-equilibrating inverse system is allowed to drift in the close neighborhood of the measured data. A numerical example shows that iterative procedures can be used to search for the damaged structural elements. A small set of selected degrees of freedom is employed for practical applicability and computational efficiency.

Evaluation of seismic performance of road tunnels in operation (운영 중인 도로 터널의 내진 성능 평가)

  • Ahn, Jae-Kwang;Park, Du-Hee;Kim, Dong-Kyu;Kim, Kwang-Yeom
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.15 no.2
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    • pp.69-80
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    • 2013
  • This study evaluates the seismic performance of road tunnels designed before the provisions for seismic design of tunnels were first established in 1999. Extensive design data and site investigation reports are investigated to select tunnels sections that are considered to be most susceptible to seismically induced damage under earthquake loading. Detailed analyses are performed on selected tunnels. The methods used are method of displacement and dynamic analysis. In performing the method of displacement, which is a type of pseudo-static analysis method used for underground structures, full domain and reduced domain modeling were used. The dynamic analyses are performed using finite difference method and using nonlinear constitutive model. Comparisons show that the reduced domain method of displacement match very closely with the dynamic analysis, demonstrating that it is the most suitable method for evaluating the seismic performance of road tunnels built in rocks. It is also shown that road tunnels, for which seismic design were not applied, are safe under the seismic risks corresponding to an earthquake with a return period 1000 years. It is concluded that additional seismic retrofit of tunnels is not necessary.

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.

Flicker Reduction Tone Mapping of Video Using k-means Clustering (k-means 클러스터링 기법을 이용한 플리커 저감 비디오 톤 매핑)

  • Heo, JeongHwan;Jeong, Jechang
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 2018.06a
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    • pp.55-58
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    • 2018
  • 본 논문에서는 넓은 동적 영역 (High Dynamic Range: HDR) 영상의 실시간 처리 방법을 제안한다. HDR 영상은 사람의 눈으로 볼 수 있는 자연 영상과 가깝지만 대부분의 디스플레이 기기들은 좁은 동적 영역 (Standard Dynamic Range: SDR)의 영상 출력만을 지원한다. 이러한 동적 영역의 차이를 사람의 시각 특성을 고려하여 축소하기 위해서는 톤 매핑 기법 (Tone Mapping Operator: TMO)을 수행하여야 한다. 하지만 기존의 이미지 톤 매핑 기법을 실시간 영상에 적용할 경우 영상의 실시간 처리, 플리커링 현상을 해결하는데 어려움이 있다. 본 논문에서는 k-means 클러스터링 기법을 사용하여 플리커 현상에 강인하고 실시간 비디오 톤 매핑이 가능한 알고리듬을 제안한다. 제안하는 알고리듬은 동적 계획법 (Dynamic Programming)을 통해 빠른 전역 해를 찾는 것이 가능하고 세부영상 향상 (Detail Enhancement)의 실시간 처리가 가능함을 보였다.

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Automation of Krylov Subspace Model Order Reduction for Transient Response Analysis with Multiple Loading (다중 하중 과도응답해석 과정에 대한 크리로프 부공간 모델차수축소법의 자동화)

  • Han, Jeong Sam;Kim, Seung Hyun
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.34 no.2
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    • pp.101-111
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    • 2021
  • In general, several computational resources are required to perform multiple-loading transient response analyses. In this paper, we present the procedure for multiple-loading transient response analysis using the Krylov subspace model order reduction and Newmark's time integration scheme. We utilized ANSYS MAPDL, Python, and ANSYS ACT to automate the transient response analysis procedure in the ANSYS Workbench environment and studied several engineering numerical examples to demonstrate the feasibility and efficiency of the proposed approach.

Structural Parameters and Modeling Technique for Prediction of Dynamic Response of a One-story Building with a Flexible Diaphragm (유연한 지붕을 갖는 단층 건물의 동적응답 예측을 위한 해석모델링 방법과 구조변수의 설정)

  • ;Donald W. White
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.16 no.3
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    • pp.271-280
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    • 2003
  • The purpose of the study presented in this paper is to develope the general model for capture of the linear and nonlinear response of a flexible diaphragm building in which there are significant contributions from the out-of-plane walls. Two single-story single-diaphragm half scale reinforced masonry buildings were tested by researchers at the United States Army Construction Engineering Research Laboratory (CERL). The first had a metal deck diaphragm. The second specimen had a diaphragm with a single layer of diagonal lumber sheathing, A multiple degree of freedom (MDOF) approach is adopted in this paper. The required stiffnesses and strengths of the components within this model are determined.

Dynamic Condensation using Iterative Manner for Structural Eigenproblem with Nonproportional Damping (비비례 감쇠 구조의 고유치 문제에 대한 반복적인 동적 축소법)

  • Cho, Maeng-Hyo;Choi, Dong-Soo
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2008.04a
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    • pp.342-349
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    • 2008
  • A selection method of primary degrees of freedom in dynamic condensation for nonproportional damping structures is proposed. Recently, many dynamic condensation schemes for complex eigenanalysis have been applied to reduce the number of degrees of freedom. Among them, iterative scheme is widely used because accurate eigenproperties can be obtained by updating the transformation matrix in every iteration. However, a number of iteration to enhance the accuracy of the eigensolutions may have a possibility to make the computation cost expensive. This burden can be alleviated by applying properly selected primary degrees of freedom. In this study, which method for selection of primary degrees of freedom is best fit for the iterative dynamic condensation scheme is presented through the results of a numerical experiment. The results of eigenanalysis of the proposed method is also compared to those of other selection schemes to discuss a computational effectiveness.

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