• Title/Summary/Keyword: Upper Bound

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Analysis of plastic deformation through axisymmetric backward extrusion using upper-bound method (上界解法에 의한 軸對稱 後方押出의 塑性變形 解析)

  • 한철호
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.13 no.3
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    • pp.330-336
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    • 1989
  • In analyzing the axisymmetric backward extrusion process a new method of analysis using upper-bound theorem is proposed in which the plastic zone and dead metal zone cam be predicted. Experiments are carried out with commercial aluminum. The metal flow on the meridional plane has been visualized experimentally by using the gridded specimens. It is shown that the theoretical results both in extrusion load and deformation pattern are in good agreement with the experimental results and they can be used for effective punch and die design to consider various process parameters in axisymmetric backward extrusion.

For the quadrangular graphs (사변형 그래프에 관하여)

  • Jeong, Nae-Gyeong;Im, Hyung-Kyu;Park, Se-Won
    • The Journal of the Korea institute of electronic communication sciences
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    • v.5 no.3
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    • pp.239-244
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    • 2010
  • In this paper, we study the adjacency matrix of a minimal connected quadrangular graph G, and then we obtain an upper bound on |E(G)| for such a graph G, and we obtain the graph for which the upper bound is attained. In addition, we obtain an upper bound on |E(G)| for a critical matching covered quadrangular graph G.

A Study on the Determination of Material Property by Cylinder Compression Test (원기둥 압축 시험을 통한 소재의 물성치 평가에 관한 연구)

  • Cha, Do-Sung;Choi, Hong-Seok;Kim, Nak-Soo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.30 no.9 s.252
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    • pp.1049-1061
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    • 2006
  • In the study, the flow stress of material and friction condition were determined by using the cylinder compression test and numerical method. We proposed the flow stress equation including the initial yield strength to predict it from the upper bound method. The upper bound technique uses the velocity field which includes two unknowns to effectively express bulging. Also, inverse engineering technique uses the object function to minimize area enclosed by load-stroke curve. The friction factor is determined from the radius of curvature of the barrel by cylinder compression test. Flow stress and initial yield strength predicted from the above techniques are verified through the finite element simulation.

Robust Pole Assignment of Linear Systems with Time-Varying Uncertainty (시변 불확정성을 갖는 선형 시스템의 강인 극점 배치)

  • Kim, Jin-Hoon
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.48 no.1
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    • pp.31-35
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    • 1999
  • In this paper, we consider the robust pole assignment and the upper bound of quadratic cost function for the linear systems with time-varying uncertainy. The considered uncertainties are both the norm bounded unstructured case and the structured case that has the matrix polytope type uncertain structure. We derve conditions that guarantee the robust pole assignment inside a disk in the L.H.P. and the robust stability. Also, we derive the upper bound of quadratic cost for thil pole assigned systems. Finally, we show the usefulness of our results by an example.

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Study on Yield Behavior of Semi-Solid Material by Finite Element Method and Upper-Bound Method (유한요소법과 상계법에 의한 반용융 재료의 항복거동 연구)

  • Choi, Jae-Chan;Park, Joon-Hong;Kim, Byung-Min
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.9
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    • pp.89-95
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    • 1999
  • The compression behavior of semi-solid materials in studied from a viewpoint of yield criteria and analysis methods. To describe the behavior of materials in semi-solid state, several theories have been proposed by extending the concept of plasticity of porous compressible materials. in the present work, the upper-bound method and the finite element method are used to model the simple compression process using yield criteria of Kuhn and Doraivelu. Segregation between solid and liquid which cause defect of product is analysed for Sn-15%Pb alloy is compared with the experimental result of Charreyron et al..

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Kinematic limit analysis of pullout capacity for plate anchors in sandy slopes

  • Yu, S.B.;Merifield, R.S.;Lyamin, A.V.;Fu, X.D.
    • Structural Engineering and Mechanics
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    • v.51 no.4
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    • pp.565-579
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    • 2014
  • The pullout capacity of plate anchors has been studied extensively over the past 40 years. However, very few studies have attempted to calculate the pullout capacity of anchors in sandy slopes. In this paper, three upper bound approaches are used to study the effect of a sloping ground surface and friction angle on pullout capacity and failure of plate anchors. This includes the use of; simple upper bound mechanisms; the block set mechanism approach; and finite element upper bound limit analysis. The aim of this research is to better understand the various failure mechanisms and to develop a simple methodology for estimating the pullout capacity of anchors in sandy slopes.

An Upper-Bound Analysis of the Square-Die Forward Extrusion of Regular Polygonal-Shaped Tubes from hollow-Cylindrical Billets at Final Stage (중공 원형 소재로부터 다각형 튜브 제품의 평금형 전방 압출에 대한 최종단계의 상계해석)

  • Kim, Dong Kwon;Cho, Jong Rae;Bae, Won Byong
    • Journal of the Korean Society for Precision Engineering
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    • v.12 no.11
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    • pp.91-97
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    • 1995
  • In this study, a deformation model for the regular polygonal-shaped tubes from hollow-cylindrical billets is proposed and a kinematically admissible velocity field is obtained from this deformation model. The final stage upper-bound extrusion load and the average extruded length are determined by minimizing the total power consumption with respect to chosen parameters. Experiments have been carried out with hard solder billets at room temperature. The theoretical predictions of the extrusion load are in good agreements with the experimental results and there is generally reasonable agreement in average extruded height between theory and experiment.

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ON THE ORDER OF SPECIALITY OF A SIMPLE, SPECIAL, AND COMPLETE LINEAR SYSTEM ON A CURVE

  • Ballico, Edoardo;Homma, Masaaki;Ohbuchi, Akira
    • Journal of the Korean Mathematical Society
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    • v.39 no.4
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    • pp.593-609
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    • 2002
  • The order of speciality of an ample invertible Sheaf L on a curve is the least integer m so that $L^{ m}$ is nonspecial. There is a reasonable upper bound of the order of speciality for a simple invertible sheaf in terms of its degree and projective dimension. We study the case where it reaches the upper bound. Moreover we for mulate Castelnuovo's genus bound involving the order of speciality.ality.

ESTIMATES FOR EIGENVALUES OF NEUMANN AND NAVIER PROBLEM

  • Deng, Yanlin;Du, Feng;Hou, Lanbao
    • Bulletin of the Korean Mathematical Society
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    • v.58 no.6
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    • pp.1315-1325
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    • 2021
  • In this paper, we firstly prove some general inequalities for the Neumann eigenvalues for domains contained in a Euclidean n-space ℝn. Using the general inequalities, we can derive some new Neumann eigenvalues estimates which include an upper bound for the (k + 1)th eigenvalue and a new estimate for the gap of the consecutive eigenvalues. Moreover, we give sharp lower bound for the first eigenvalue of two kinds of eigenvalue problems of the biharmonic operator with Navier boundary condition on compact Riemannian manifolds with boundary and positive Ricci curvature.

Degrees of Freedom of Two-Cluster MIMO Multiway Relay Interference Channels Using Blind Interference Neutralization

  • Zhang, Bowei;Feng, Wenjiang;Dong, Tingting;Deng, Yina
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.10 no.1
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    • pp.168-186
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    • 2016
  • In this paper, we investigate the degrees of freedom (DoF) of a two-cluster multiple-input multiple-output (MIMO) multiway relay interference channel (mRIC), where there are two relays and two users per cluster. In this channel, users within the same cluster exchange messages among themselves with the help of two relays.We first obtain the DoF upper bound of the considered MIMO mRIC based on cut-set bound. Then, we propose a novel transmission strategy, blind interference neutralization (BIN), to approach the DoF upper bound. This new method utilizes the overheard information at two relays and focuses on the beamforming matrix designs at two relays so that the channel state information (CSI) at users is not required. Through theoretical analysis and numerical simulations, we show that the DoF upper bound can be obtained by using the BIN scheme. From simulation results, we show that the proposed BIN scheme can provide significant performance gain over the conventional time division multiple access (TDMA) scheme in terms of DoF. In addition, we show that the BIN scheme is a superior approach to the existing signal space alignment (SSA) schemes for the considered mRIC.