• Title/Summary/Keyword: Constraint Matrix

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Efficient Meshfree Analysis Using Stabilized Conforming Nodal Integration for Metal Forming Simulation

  • Han, Kyu-Taek
    • Journal of Advanced Marine Engineering and Technology
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    • v.34 no.7
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    • pp.943-950
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    • 2010
  • An efficient meshfree method based on a stabilized conforming nodal integration method is developed for elastoplastic contact analysis of metal forming processes. In this approach, strain smoothing stabilization is introduced to eliminate spatial instability in Galerkin meshfree methods when the weak form is integrated by a nodal integration. The gradient matrix associated with strain smoothing satisfies the integration constraint for linear exactness in the Galerkin approximation. Strain smoothing formulation and numerical procedures for path-dependent problems are introduced. Applications of metal forming analysis are presented, from which the computational efficiency has been improved significantly without loss of accuracy.

Orthogonalization principle for hybrid control of robot arms under geometric constraint

  • Arimoto, Suguru
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10b
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    • pp.1-6
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    • 1992
  • A principle of "orthogonalization" is proposed as an extended notion of hybrid (force and position) control for robot manipulators under geometric endpoint constraints. The principle realizes the hybrid control in a strict sense by letting position and velocity feedback signals be orthogonal in joint space to the contact force vector whose components are exerted at corresponding joints. This orthogonalization is executed via a projection matrix computed in real-time from a gradient of the equation of the surface in joint coordinates and hence both projected position and velocity feedback signals become perpendicular to the force vector that is normal to the surface at the contact point in joint space. To show the important role of the principle in control of robot manipulators, three basic problems are analyzed, the first is a hybrid trajectory tracking problem by means of a "modified hybrid computed torque method", the second is a model-based adaptive control problem for robot manipulators under geometric endpoint constraints, and the third is an iterative learning control problem. It is shown that the passivity of residual error dynamics of robots follows from the orthogonalization principle and it plays a crucial role in convergence properties of both positional and force error signals.force error signals.

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Frequency domain properties of EALQR with indefinite Q (비한정 Q를 갖는 EALQR의 주파수역 특성 해석)

  • Seo, Yeong-Bong;Choe, Jae-Won
    • Journal of Institute of Control, Robotics and Systems
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    • v.5 no.6
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    • pp.676-682
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    • 1999
  • A study which develops a controller design methodology that has flexibility of eigenstructure assignment within the stability-robustness contraints of LQR is requried and has been performed. The previously developd control design methodology, namely, EALQR(Eigenstructure Assignment/LQR) has better performance than that of conventional LQR or eigenstructure assignment but has a constraint for the weitgting matrix in LQR, which could be indefinite for high-order system. In this paper, the effects of the indefinite Q in EALQR on the frequency domain properties are analyzed. The robustness criterion and quantitative frequency domain properties are also resented. Finally, the frequency domain properties of EALQR has been analyzed by applying to a flight control system design example.

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Influence of Stress-strain on the Microstructural Change in the Metallic Glass and Metallic Glass Matrix Composite

  • Kim, Song-Yi;Lee, A-Young;Oh, Hye-Ryung;Lee, Min-Ha
    • Applied Microscopy
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    • v.45 no.2
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    • pp.44-51
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    • 2015
  • At room temperature, metallic glasses deform inhomogeneously by strain localization into narrow bands as a result of yielding due to an external force. When shear bands are generated during deformation, often nanocrystals form at the shear bands. Experimental results on the deformation of bulk metallic glass in the current study suggest that the occurrence of nanocrystallization at a shear band implies the loading condition that induces deformation is more triaxial in nature than uniaxial. Under a compressive stress state, the geometrical constraint strain imposed by the stress triaxiality plays a crucial role in the deformation-induced nanocrystallization at the shear bands.

Constrained Dynamic Responses of Structures Subjected to Earthquake

  • Eun, Hee Chang;Lee, Min Su
    • Architectural research
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    • v.8 no.2
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    • pp.37-42
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    • 2006
  • Starting from the quadratic optimal control algorithm, this study obtains the relation of the performance index for constrained systems and Gauss's principle. And minimizing a function of the variation in kinetic energy at constrained and unconstrained states with respect to the velocity variation, the dynamic equation is derived and it is shown that the result compares with the generalized inverse method proposed by Udwadia and Kalaba. It is investigated that the responses of a 10-story building are constrained by the installation of a two-bar structure as an application to utilize the derived equations. The structural responses are affected by various factors like the length of each bar, damping, stiffness of the bar structure, and the junction positions of two structures. Under an assumption that the bars have the same mass density, this study determines the junction positions to minimize the total dynamic responses of the structure.

A Spatial Regularization of LDA for Face Recognition

  • Park, Lae-Jeong
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.10 no.2
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    • pp.95-100
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    • 2010
  • This paper proposes a new spatial regularization of Fisher linear discriminant analysis (LDA) to reduce the overfitting due to small size sample (SSS) problem in face recognition. Many regularized LDAs have been proposed to alleviate the overfitting by regularizing an estimate of the within-class scatter matrix. Spatial regularization methods have been suggested that make the discriminant vectors spatially smooth, leading to mitigation of the overfitting. As a generalized version of the spatially regularized LDA, the proposed regularized LDA utilizes the non-uniformity of spatial correlation structures in face images in adding a spatial smoothness constraint into an LDA framework. The region-dependent spatial regularization is advantageous for capturing the non-flat spatial correlation structure within face image as well as obtaining a spatially smooth projection of LDA. Experimental results on public face databases such as ORL and CMU PIE show that the proposed regularized LDA performs well especially when the number of training images per individual is quite small, compared with other regularized LDAs.

A note on a method for estimating the linear expenditure system with one restriction

  • Lee, Seok-Koo
    • Journal of the Korean Statistical Society
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    • v.4 no.1
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    • pp.67-78
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    • 1975
  • Over twenty-five years ago, Professor Klein and Rubin presented the linear expenditure system. That system was first estimated by Stone. Subsequently many investigators have estimated that system. In this paper, many points of the error structure shown by Pollak and Wales are referred to. Barten presented an estimation theorem on a singular covariance matrix. In order to estimate parameters, we place an emphasis on the maximum likihood method which we believe to be most appropriate. As we have one linear restriction on parameters to be estimated, we maximized the associated likelihood function subject to that linear restriction through the well-known lagrange multiplier method. This paper is organized in the following fashion : (1) a brief description on classical consumer theory, (2) a linear expenditure system and its constraint, (3) dyanmic specification and stochastic specification, (4) estimation method, and (5) conclusion.

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Investigation of Crustal Deformation due to the Kyungju Earthquake in 2016

  • Hong, Chang-Ki
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.34 no.6
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    • pp.591-596
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    • 2016
  • The $M_w=5.8$ Kyungju (South Korea) earthquake took place on 12 September 2016. This event may cause deformation around Kyungju city, located in the southeastern part of the Korean peninsula. In this study, GPS data was collected from the 17 Korean CORS and processed to determine the deformation. Minimum constraint solutions, to avoid the network distortion, are obtained and an S-transformation is applied to the coordinate difference vector and its covariance matrix for comparisons. In the final step, a statistical test is performed to determine the deformation due to the Kyungju earthquake. Based on the results, it was found that there is no significant deformation around Kyungju city. Hence, it can be said that the re-measurement or re-establishment of the geodetic control points in South Korea is not required.

An Euler Parameter Updating Method for Multibody Kinematics and Dynamics (다물체의 기구해석 및 동적거동해석을 위한 오일러 매개변수의 교정방법)

  • 김성주;배대성;최창곤;양성모
    • Transactions of the Korean Society of Automotive Engineers
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    • v.4 no.4
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    • pp.9-17
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    • 1996
  • This paper develops a sequential updating method of the Euler parameter generalized coordinates for the machine kinematics and dynamics, The Newton's method is slightly modified so as to utilize the Jacobian matrix with respect to the virtual rotation instead of this with repect to the Euler parameters. An intermediate variable is introduced and the modified Newton's method solves for the variable first. Relational equation of the intermediate variable is then solved for the Euler parameters. The solution process is carried out efficiently by symoblic inversion of the relational equation of the intermediate variable and the iteration equation of the Euler parameter normalization constraint. The proposed method is applied to a kinematic and dynamic analysis with the Generalized Coordinate Partitioning method. Covergence analysis is performed to guarantee the local convergence of the proposed method. To demonstrate the validity and practicalism of the proposed method, kinematic analysis of a motion base system and dynamic analysis of a vehicle are carried out.

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A Code Assignment Algorithm for Microinstructions (마이크로 명령어의 코드 할당 알고리즘)

  • Kim, H.R.;Kim, C.S.;Hong, I.S.;Lim, J.Y.;Lim, I.C.
    • Proceedings of the KIEE Conference
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    • 1988.07a
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    • pp.587-590
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    • 1988
  • In the case of VLSI computer system control unit design using PLA, optimal state code assignment algorithm to minimize the PLA area is proposed. An optimal state code assignment algorithm which considers output state and logic minimization simultaneously is proposed, and by means of this, algorithm product term is minimized. Also, by means of this algorithm running time and memory capacitance is decreased as against heuristic state code assignment algorithm which uses matrix calculation and considers the constraint relation only. This algorithm is implemented on VAX 11/750 (UNIX4.3BSD). Through the various test example applied proposed algorithm, the efficiency of this algorithm is shown.

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