• Title/Summary/Keyword: nonlinear connectivity

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Topology Optimization of Geometrically Nonlinear Structure Considering Load-Displacement Trajectory (하중-변위 관계를 고려한 기하 비선형 구조물의 위상 최적 설계)

  • Noh, Jin-Yee;Yoon, Gil-Ho;Kim, Yoon-Young
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.33 no.8
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    • pp.779-785
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    • 2009
  • This paper is concerned with a computational approach for topology optimization of geometrically nonlinear structures following specific load-displacement trajectories. In our previous works, attention was paid to stabilize topology optimization involving large displacement and a method called the element connectivity parameterization was developed. Here, we aimed to extend the element connectivity parameterization method to find an optimal geometrically nonlinear structure yielding a specific load-displacement trajectory. In contrast to designing a stiffest structure, the trajectory design problem requires special consideration in topology optimization formulation and solution procedure. Some numerical problems were considered to test the developed element connectivity parameterization based formulation.

Topology Optimization Using the Element Connectivity Parameterization Method in Three Dimensional Design Domain (3차원 설계 영역에서의 요소 연결 매개법을 이용한 위상 최적 설계)

  • Ho Yoon Gil;Young Kim Yoon;Soo Joung Yuung
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.29 no.7 s.238
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    • pp.990-997
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    • 2005
  • The objective of this paper is to present the element connectivity parameterization (ECP) fur three dimensional problems. In the ECP method, a continuum structure is viewed as discretized finite elements connected by zero-length elastic links whose stiffness values control the degree of inter-element connectivity. The ECP method can effectively avoid the formation of the low-density unstable elements. These elements appear when the standard element density method is used for geometrical nonlinear problems. In this paper, this ECP method developed fur two-dimensional problems is expanded to the design of three-dimensional geometrical nonlinear structures. Among others, the automatic procedure converting standard finite element models to the models suitable for the ECP approach is developed and applied for optimization problems defined on general three-dimensional design domains.

Asynchronous interface circuit for nonlinear connectivity in multicore spiking neural networks

  • Sung-Eun Kim;Kwang-Il Oh;Taewook Kang;Sukho Lee;Hyuk Kim;Mi-Jeong Park;Jae-Jin Lee
    • ETRI Journal
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    • v.46 no.5
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    • pp.878-889
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    • 2024
  • To expand the scale of spiking neural networks (SNNs), an interface circuit that supports multiple SNN cores is essential. This circuit should be designed using an asynchronous approach to leverage characteristics of SNNs similar to those of the human brain. However, the absence of a global clock presents timing issues during implementation. Hence, we propose an intermediate latching template to establish asynchronous nonlinear connectivity with multipipeline processing between multiple SNN cores. We design arbitration and distribution blocks in the interface circuit based on the proposed template and fabricate an interface circuit that supports four SNN cores using a full-custom approach in a 28-nm CMOS (complementary metal-oxide-semiconductor) FDSOI (fully depleted silicon on insulator) process. The proposed template can enhance throughput in the interface circuit by up to 53% compared with the conventional asynchronous template. The interface circuit transmits spikes while consuming 1.7 and 3.7 pJ of power, supporting 606 and 59 Mevent/s in intrachip and interchip communications, respectively.

Optimal Design of Nonlinear Coupled Multiphysics Structural Systems using The Element Connectivity Parameterization (복합 물리 시스템 위상 최적설계를 위한 요소 연결 매개법)

  • Yoon, Gil-Ho;Kim, Yoon-Young
    • Proceedings of the KSME Conference
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    • 2004.04a
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    • pp.1017-1022
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    • 2004
  • Though the standard element density-based topology optimization method has been applied for the optimal design of multiphysics systems, some theoretical problems, such as material interpolation, undershoot temperature prediction, and unstable elements, still remain to be overcome. The objective of this investigation is to present a new topology optimization formulation based on the element connectivity parameterization (ECP) in order to avoid the numerical problems in multiphysics system design and improve optimization results. To show the validity of the proposed approach, the designs of an optimal thermal dissipation and an electro-thermal-compliant actuator were considered.

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Element Connectivity Based Topology Optimization for Linear Dynamic Compliance (요소 연결 매개법을 이용한 선형 구조물의 동적 컴플라이언스 최적화)

  • Yoon, Gil-Ho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.22 no.3
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    • pp.259-265
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    • 2009
  • This paper studies the Element Connectivity Parameterization Method(ECP method) for topology optimization considering dynamic compliance. The previous element density based topology optimization method interpolates Young's modulus with respect to design variables defined in each element for topology optimization. Despite its various applications, these element density based methods suffer from numerical instabilities for nonlinear structure and multiphysics systems. To resolve these instabilities, recently a new numerical method called the Element Connectivity Parameterization(ECP) Method was proposed. Unlike the existing design methods, the ECP method optimizes the connectivities among plane or solid elements and it shows some advantages in topology optimization for both nonlinear structure and multiphysics systems. In this study, the method was expanded for topology optimization for the dynamic compliance by developing a way to model the mass matrix in the framework of the ECP method.

Effective Nonlinear Analysis of Coupled Wall Structures using Multi-Level Substructuring (다중분할구조기법을 이용한 병렬전단벽의 효율적인 비선형 해석)

  • 김호수;홍성목;윤성준
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1994.04a
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    • pp.65-72
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    • 1994
  • This study presents the application of multi-level substructuring for the effective nonlinear analysis of coupled wall structures. Also, the transition elements with 8 or 12 d. o. f, 5-node plane stress elements and concrete nonlinear model are considered as the basic finite elements of substructuring. In particular, the concept of localized nonlinearity is considered for the probable nonlinear zones of the structure, and the effective bottom-up and top-down process are presented through connectivity trees. The nonlinear analysis based on localized nonlinearity and multi-level substructuring, compared with the complete nonlinear analysis of the structure, gives the greater saving effects in computational efforts and cost.

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Maximizing Eigenfrequency of Geometrical Nonlinear Structure using Topology Optimization (위상최적화를 이용한 기하 비선형 구조물의 고유진동수 최적화)

  • Yoon, Gil-Ho
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2009.04a
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    • pp.89-92
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    • 2009
  • 본 논문에서는 비선형구조물의 위상최적화를 위하여 개발된 요소 연결 매개법 (Element Connectivity Parameterization Method)을 이용하여 기하비선형 구조물의 고유진동수(Eigenfrequency)를 최적화하는 연구를 소개한다. 기존의 밀도를 기반으로 한 위상최적화기법은 비선형 구조물의 위상최적화를 수행할 때 약한 탄성계수를 가지는 요소가 대변형을 일으켜 전체 강성행렬(Tangent Stiffness Matrix)이 양정정성(Positive definiteness)를 잃어버리는 문제점이 있어서 위상최적화를 수행하기 어렵다. 이 문제점을 해결하기 위하여 최근에 요소 연결 매개법(Element Connectivity Parameterization Method)이 개발되었다. 이 요소 연결 매개법은 요소의 강성을 설계하는 것이 아니라 요소의 연결성을 설계하는 기법으로 이를 이용하여 비선형 구조물의 위상최적화를 효과적으로 수행할 수 있다. 이 연구에서는 요소 연결 매개법을 동적인 문제에 적용하기 위한 연구를 수행하며 이를 이용하여 비선형 구조물의 고유진동수를 최적화 하는 위상최적화 문제에 적용하였다. 비선형 수치 예제를 통하여 기하 비선형 구조물의 고유진동수를 최대화를 통하여 기하 비선형 구조물의 강성최대화 문제와 같은 결과를 얻을 수 있었다.

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Punching shear failure in pile-supported embankment (성토지지말뚝으로 지지된 성토지반내 펀칭전단파괴)

  • Hong, Won-Pyo;Hong, Seong-Won;Song, Jei-Sang;Lee, Jae-Ho
    • Proceedings of the Korean Geotechical Society Conference
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    • 2010.03a
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    • pp.369-378
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    • 2010
  • In this study, a computer program to predict the behavior of laterally loaded single pile and pile groups was developed by using a beam-column analysis in which the soils are modeled as nonlinear springs by a family of p-y curves for subgrade modulus. The special attention was given to the lateral displacement of a single pile and pile groups due to the soil condition and the cap rigidity. The analysis considering group effect was carried out for $2{\times}2$ and $3{\times}3$ pile groups with the pile spacing 3.0B, 4.0B and 5.0B. Based on the results obtained, it is found that the overall distributions of deflection, slope, moment, and shear force in a single pile give a reasonable results irrespective of cap connectivity conditions. It is also found that even though there are some deviations in deflection prediction compared with the observed ones, the prediction by present analysis simulates much better the general trend observed by the centrifuge tests than the numerical solution predicted by PIGLET.

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Case study of Cut-slop failure caused by rock anisotropy (암석의 이방성에 기인한 절토사면 붕괴 사례연구)

  • Jung, Young-Kook;Chang, Buhm-Soo;Shin, Chang-Gun;Lee, Yeon-Hee
    • Proceedings of the Korean Geotechical Society Conference
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    • 2005.03a
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    • pp.831-837
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    • 2005
  • In this study, a computer program to predict the behavior of laterally loaded single pile and pile groups was developed by using a beam-column analysis in which the soils are modeled as nonlinear springs by a family of p-y curves for subgrade modulus. The special attention was given to the lateral displacement of a single pile and pile groups due to the soil condition and the cap rigidity. The analysis considering group effect was carried out for $2\;{\times}\;2\;and\;3\;{\times}\;3$ pile groups with the pile spacing 3.0B, 4.0B and 5.0B. Based on the results obtained, it is found that the overall distributions of deflection, slope, moment, and shear force in a single pile give a reasonable results irrespective of cap connectivity conditions. It is also found that even though there are some deviations in deflection prediction compared with the observed ones, the prediction by present analysis simulates much better the general trend observed by the centrifuge tests than the numerical solution predicted by PIGLET.

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A Splitter Location-Allocation Problem in Designing FTTH-PON Access Networks (FTTH-PON 가입자망 설계에서 Splitter Location-Allocation 문제)

  • Park, Chan-Woo;Lee, Young-Ho;Han, Jung-Hee
    • Journal of the Korean Operations Research and Management Science Society
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    • v.36 no.2
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    • pp.1-14
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    • 2011
  • In this paper, we deal with an access network design problem of fiber-to-the-home passive optical network (FTTH-PON). The FTTH-PON network design problem seeks to minimize the total cost of optical splitters and cables that provide optical connectivity between central office and subscribers. We develop a flow-based mixed integer programming (MIP) model with nonlinear link cost. By developing valid inequalities and preprocessing rules, we enhance the strength of the proposed MIP model in generating tight lower bounds for the problem. We develop an effective Tabu Search (TS) heuristic algorithm that provides good quality feasible solutions to the problem. Computational results demonstrate that the valid inequalities and preprocessing rules are effective for improving the LP-relaxation lower bound and TS algorithm finds good quality solutions within reasonable time bounds.