• Title/Summary/Keyword: Combined Solving Method

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Nonlinear Analysis of Improved Degenerated Shell Finite Element (개선된 Degenerated 쉘 유한요소의 비선형 해석)

  • 최창근;유승운
    • Computational Structural Engineering
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    • v.3 no.3
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    • pp.113-123
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    • 1990
  • The paper is concerned with the elasto-plastic and geometrically nonlinear analysis of shell structures using an improved degenerated shell element. In the formulation of the element stiffness, the combined use of three different techniques was made. They are; 1) an enhanced interpolation of transverse shear strains in the natural coordinate system to overcome the shear locking problem ; 2) the reduced integration technique in in-plane strains to avoid the membrane locking behavior ; and 3) selective addition of the nonconforming displacement modes to improve the element performances. This element is free of serious shear/membrane locking problems and undesirable compatible/commutable spurious kinematic deformation modes. In the formulation for plastic deformation, the concept of a layered element model is used and the material is assumed von Mises yield criterion. An incremental total Lagrangian formulation is presented which allows the calculation of arbitrarily large displacements and rotations. The resulting non-linear equilibrium equations are solved by the Netwon-Raphson method combined with load or displacement increment. The versatility and accuracy of this improved degenerated shell element are demonstrated by solving several numerical examples.

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A Study on Equivalent Modal Damping Values of Soil-Structure Coupling Models (지반-구조물 연계모델의 등가감쇠값에 관한 연구)

  • Park, Hyung Ghee
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.7 no.3
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    • pp.241-248
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    • 1987
  • The theoretical backgrounds of the several methods were surveyed and reviewed to fin out the adequate one to determine equivalent modal damping values in solving the dynamic problem of soil-structure interaction by mode superposition method. Furthermore the rigorous damping matrix of equation of motion was obtained through component mode synthesis technique and used in direct integration of the equation. The analytical results by direct integration method were compared with those of mode superposition approach using the various sets of equivalent modal damping values calculated by the methods to be reviewed. Two types of superstructures and four kinds of subsurface conditions were considered and combined to make soil-structure coupled models. It was realized that dissipating energy method gives the equivalent modal damping values which lead the most similar results to direct integration ones. In case of fixed base, the responses of all methods except stiffness weighted approach are almost equal to those of direct integration method.

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Robust market-based control method for nonlinear structure

  • Song, Jian-Zhu;Li, Hong-Nan;Li, Gang
    • Earthquakes and Structures
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    • v.10 no.6
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    • pp.1253-1272
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    • 2016
  • For a nonlinear control system, there are many uncertainties, such as the structural model, controlled parameters and external loads. Although the significant progress has been achieved on the robust control of nonlinear systems through some researches on this issue, there are still some limitations, for instance, the complicated solving process, weak conservatism of system, involuted structures and high order of controllers. In this study, the computational structural mechanics and optimal control theory are adopted to address above problems. The induced norm is the eigenvalue problem in structural mechanics, i.e., the elastic stable Euler critical force or eigenfrequency of structural system. The segment mixed energy is introduced with a precise integration and an extended Wittrick-Williams (W-W) induced norm calculation method. This is then incorporated in the market-based control (MBC) theory and combined with the force analogy method (FAM) to solve the MBC robust strategy (R-MBC) of nonlinear systems. Finally, a single-degree-of-freedom (SDOF) system and a 9-stories steel frame structure are analyzed. The results are compared with those calculated by the $H{\infty}$-robust (R-$H{\infty}$) algorithm, and show the induced norm leads to the infinite control output as soon as it reaches the critical value. The R-MBC strategy has a better control effect than the R-$H{\infty}$ algorithm and has the advantage of strong strain capacity and short online computation time. Thus, it can be applied to large complex structures.

Making Strategic Choice for Sustainable Social Enterprise: The Application of Holon Dynamics Approach (지속 가능한 사회적 기업을 위한 전략적 방향 제시: 홀론 다이내믹스의 적용)

  • Yu, Jae-Eon
    • Korean System Dynamics Review
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    • v.13 no.1
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    • pp.133-157
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    • 2012
  • This paper aims to propose the strategy making in social enterprise for ensuring organizational sustainability and governance of social enterprise from systems thinking's perspective. Based on previous reviews on organizational sustainability and theories of governance currently advocated in the social enterprise literature, we use 'Holon Dynamics' approach, which is a synthesis of System Dynamics and Soft Systems Methodology (SSM), offers the problem-solving method for dealing with social contexts and "ill-defined" situations. To do so, a researcher carried out the interpretive action research using 'Holon Dynamics' approach from September, 2009 to August, 2010. The outcomes of research are summarized as follows. Firstly, systems methodologies are useful to offer a strategic choice that makes to achieve an organizational sustainability in the case of Korean social enterprise; 'the Rediscovery of Korea'. Secondly, systems thinking offers an alternative concept of system, which is known as an 'appreciative system' that is evolved from the mental constructs amongst participants in given situations. Lastly, the paper delineates the usefulness of systems thinking and the process of inquiry, which deal with social contexts (including cultural and political factors), are contributed to making the necessary conditions for organizational legitimacy and the appropriate strategic choice for social enterprise within combined functioning of the two roles of social and commercial activities from systemic perspectives.

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Robust Control of Linear Systems Under Structured Nonlinear Time-Varying Perturbations II : Synthesis via Convex Optimazation

  • Bambang, Riyanto-T.;Shimemura, Etsujiro
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10b
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    • pp.100-104
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    • 1993
  • In Part 1, we derived robust stability conditions for an LTI interconnected to time-varying nonlinear perturbations belonging to several classes of nonlinearities. These conditions were presented in terms of positive definite solutions to LMI. In this paper we address a problem of synthesizing feedback controllers for linear time-invariant systems under structured time-varying uncertainties, combined with a worst-case H$_{2}$ performance. This problem is introduced in [7, 8, 15, 35] in case of time-invariant uncertainties, where the necessary conditions involve highly coupled linear and nonlinear matrix equations. Such coupled equations are in general difficult to solve. A convex optimization approach will be employed in this synthesis problem in order to avoid solving highly coupled nonlinear matrix equations that commonly arises in multiobjective synthesis problem. Using LMI formulation, this convex optimization problem can in turn be cast as generalized eigenvalue minimization problem, where an attractive algorithm based on the method of centers has been recently introduced to find its solution [30, 361. In the present paper we will restrict our discussion to state feedback case with Popov multipliers. A more general case of output feedback and other types of multipliers will be addressed in a future paper.

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Inverse Kinematics Solution and Optimal Motion Planning for Industrial Robots with Redundancy (여유 자유도를 갖는 산업용 로봇의 역기구학 해석 및 최적 동작 계획)

  • Lee, Jong-Hwa;Kim, Ja-Young;Lee, Ji-Hong;Kim, Dong-Hyeok;Lim, Hyun-Kyu;Ryu, Si-Hyun
    • The Journal of Korea Robotics Society
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    • v.7 no.1
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    • pp.35-44
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    • 2012
  • This paper presents a method to optimize motion planning for industrial manipulators with redundancy. For optimal motion planning, first of all, particular inverse kinematic solution is needed to improve efficiency for manipulators with redundancy working in various environments. In this paper, we propose three kinds of methods for solving inverse kinematics problems; numerical and combined approach. Also, we introduce methods for optimal motion planning using potential function considering the order of priority. For efficient movement in industrial settings, this paper presents methods to plan motions by considering colliding obstacles, joint limits, and interference between whole arms. To confirm improved performance of robot applying the proposed algorithms, we use two kinds of robots with redundancy. One is a single arm robot with 7DOF and another is a dual arm robot with 15DOF which consists of left arm, right arm with each 7DOF, and a torso part with 1DOF. The proposed algorithms are verified through several numerical examples as well as by real implementation in robot controllers.

A Visualization Scheme with a Calendar Heat Map for Abnormal Pattern Analysis in the Manufacturing Process

  • Chankhihort, Doung;Lim, Byung-Muk;Lee, Gyu-Jung;Choi, Sungsu;Kwon, Sun-Ock;Lee, Sang-Hyun;Kang, Jeong-Tae;Nasridinov, Aziz;Yoo, Kwan-Hee
    • International Journal of Contents
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    • v.13 no.2
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    • pp.21-28
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    • 2017
  • Abnormal data in the manufacturing process makes it difficult to find useful information that can be applied in data management for the manufacturing industry. It causes various problems in the daily process of production. An issue from the abnormal data can be handled by our method that uses big data and visualization. Visualization is a new technology that transforms data representation into a two-dimensional representation. Nowadays, many newly developed technologies provide data analysis, algorithm, optimization, and high efficiency, and they meet user requirements. We propose combined production of the data visualization approach that uses integrative visualization of sources of abnormal pattern analysis results. The perceived idea of the proposed approach can solve the problem as it also works for big data. It can also improve the performance and understanding by using visualization and solving issues that occur in the manufacturing process with a calendar heat map.

A Robust Preconditioner on the CRAY-T3E for Large Nonsymmetric Sparse Linear Systems

  • Ma, Sangback;Cho, Jaeyoung
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.5 no.1
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    • pp.85-100
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    • 2001
  • In this paper we propose a block-type parallel preconditioner for solving large sparse nonsymmetric linear systems, which we expect to be scalable. It is Multi-Color Block SOR preconditioner, combined with direct sparse matrix solver. For the Laplacian matrix the SOR method is known to have a nondeteriorating rate of convergence when used with Multi-Color ordering. Since most of the time is spent on the diagonal inversion, which is done on each processor, we expect it to be a good scalable preconditioner. Finally, due to the blocking effect, it will be effective for ill-conditioned problems. We compared it with four other preconditioners, which are ILU(0)-wavefront ordering, ILU(0)-Multi-Color ordering, SPAI(SParse Approximate Inverse), and SSOR preconditioner. Experiments were conducted for the Finite Difference discretizations of two problems with various meshsizes varying up to 1024 x 1024, and for an ill-conditioned matrix from the shell problem from the Harwell-Boeing collection. CRAY-T3E with 128 nodes was used. MPI library was used for interprocess communications. The results show that Multi-Color Block SOR and ILU(0) with Multi-Color ordering give the best performances for the finite difference matrices and for the shell problem only the Multi-Color Block SOR converges.

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A Study on Intelligent Production Information in Digital Convergence (디지털 컨버전스에서의 지능적 생산정보화에 관한 연구)

  • Lee, Seong-Hoon;Lee, Dong-Woo
    • Journal of Digital Convergence
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    • v.12 no.2
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    • pp.295-300
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    • 2014
  • In information society, Convergence was combined with a word 'digital'. Digital convergence means a service or new product which appeared through fusion of unit technologies in information and communication regions. The effects of convergence technologies and social phenomenons are visualized in overall regions of society such as economy, society, culture, etc. Nowadays, manufacturing field are facing new challenges, through digital information and global integration, toward sophisticated production. This paper presents the system configuration and issues of current manufacturing execution system(MES), and describes major issues and solving elements to establish a MES system for cloud services. Also, we propose a method for building a manufacturing information system to have the optimized production flow and to respond appropriately to consumer market.

An Improved Degenerated Shell Element for Analysis of Laminated Composite Structures (복합적층구조 해석을 위한 개선된 쉘요소)

  • Choi, Chang Koon;Yoo, Seung Woon
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.11 no.3
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    • pp.1-10
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    • 1991
  • The paper is concerned with the analysis of laminated composite shell structures using an improved degenerated shell element. In the formulation of the element stiffness, the combined use of three different techniques was made. They are; 1) an enhanced interpolation of transverse shear strains in the natural coordinate system to overcome the shear locking problem; 2) the reduced integration technique in in-plane strains to avoid the membrane locking behavior; and 3) selective addition of the nonconforming displacement modes to improve the element performances. This element is free of serious shear/membrane locking problems and undesirable compatible/commutable spurious kinematic deformation modes. An incremental total Lagrangian formulation is presented which allows the calculation of arbitrarily large displacements. The resulting non-linear equilibrium equations are solved by the Newton-Raphson method. The versatility and accuracy of this improved degenerated shell element are demonstrated by solving several numerical examples.

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