• Title/Summary/Keyword: Upper bound method

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A Study on the Forging of Internal Involute Gears with Alloy Steel (합금강을 이용한 내접 인벌류우트 기어의 단조에 관한 연구)

  • 최종웅;조해용;최재찬
    • Journal of the Korean Society for Precision Engineering
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    • v.15 no.2
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    • pp.90-98
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    • 1998
  • Forging of internal involute gears with alloy steel has been analyzed by means of upper bound method. Kinematically admissible velocity fields for forging of internal gear were proposed. It was assumed that the shape of free flow surface during forging operation is a straight line perpendicular to the plane of symmetry. Using the suggested velocity fields, forging loads and relative pressures were calculated by numerical method. Consequently forging die should be successfully designed without fracture or failure during forging operation. Experiments were carried out with the designed die and SCM415 alloy steel as billet material. The calculated loads were compared with experimental one and they are in good agreement with experimental inspections. As a result, the calculated solutions would be useful to predict the loads and the designed die is suitable for forging of internal involute spur gear with alloy steel. The forged gear is measured to be KS 4 class and its class should be improved by subsequent working such as shaving after forging operation.

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Blow-out pressure of tunnels excavated in Hoek-Brown rock masses

  • Alireza Seghateh Mojtahedi;Meysam Imani;Ahmad Fahimifar
    • Geomechanics and Engineering
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    • v.37 no.4
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    • pp.323-339
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    • 2024
  • If the pressure exerted on the face of a tunnel excavated by TBM exceeds a threshold, it leads to failure of the soil or rock masses ahead of the tunnel face, which results in heaving the ground surface. In the current research, the upper bound method of limit analysis was employed to calculate the blow-out pressure of tunnels excavated in rock masses obeying the Hoek-Brown nonlinear criterion. The results of the proposed method were compared with three-dimensional finite element models, as well as the available methods in the literature. The results show that when σci, mi, and GSI increase, the blow-out pressure increases as well. By doubling the tunnel diameter, the blow-out pressure reduces up to 54.6%. Also, by doubling the height of the tunnel cover and the surcharge pressure exerted on the ground surface above the tunnel, the blow-out pressure increased up to 74.9% and 5.4%, respectively. With 35% increase in the unit weight of the rock mass surrounding the tunnel, the blow-out pressure increases in the range of 14.8% to 19.6%. The results of the present study were provided in simple design graphs that can easily be used in practical applications in order to obtain the blow-out pressure.

UPPER AND LOWER BOUNDS FOR THE POWER OF EIGENVALUES IN SEIDEL MATRIX

  • IRANMANESH, ALI;FARSANGI, JALAL ASKARI
    • Journal of applied mathematics & informatics
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    • v.33 no.5_6
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    • pp.627-633
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    • 2015
  • In this paper, we generalize the concept of the energy of Seidel matrix S(G) which denoted by Sα(G) and obtain some results related to this matrix. Also, we obtain an upper and lower bound for Sα(G) related to all of graphs with |detS(G)| ≥ (n - 1); n ≥ 3.

Revival Manufacturing Technique and Bonding Method for Jingdezhen White Porcelain with Metal Bound Rim (경덕진요 백자 구연부 금속 테두리의 제작기법 및 접착방법 재현)

  • Yang, Pil-Seung;Seo, Jeong-Ho;Hwang, Hyun-Sung
    • Journal of Conservation Science
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    • v.25 no.3
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    • pp.273-282
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    • 2009
  • As a result of investigating research papers concerning the metal bound rim decoration on four pieces of 'Bowl, white porcelain with impressed floral design and sliver bound rim' and one piece of 'Bowl, white porcelain with sliver bound rim' from among the Jingdezhen white porcelain, which are Sinan remains that are kept in a National museum of Korea. It was found that the material of the bound rim was not silver but tin, and lacquer was used as glue. Based on such a scientific analysis, this study conducted a reproduction test of the manufacturing technique and the bonding method of the metal bound rim attached to the upper tip of the china ware. As a way of reproducing the bound rim, the study was able to discover the best method in terms of the avoidance of loss of materials and the workability out of various cutting methods for tin plates, and it also discovered that the use of lacquer in mixture with soil showed a better workability than the use only of a lacquer ingredient in a test of the bonding method of a metal bound rim using lacquer. Also, in the test of a drying method, a bonding method after drying within a short time at a relatively high temperature was found to be more effective than the drying method after humidifying at a normal temperature, which is used in traditional lacquer ware preservation treatment.

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ON THE COMPUTATION OF EIGENVALUE BOUNDS OF ANHARMONIC OSCILLATOR USING AN INTERMEDIATE PROBLEM METHOD

  • Lee, Gyou-Bong;Lee, Ok-Ran
    • Journal of applied mathematics & informatics
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    • v.9 no.1
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    • pp.321-330
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    • 2002
  • We apply an Intermediate Problem Method to compute eigenvalues of an anharmonic oscillator. The method produces lower bounds to the eigenvalues while the Rayleigh-Ritz method yields upper bounds. We show the convergence rate of the Intermediate Problem Method is the same as the rate of the Rayleigh-Ritz method.

A Study on the Forging of Spur Gears with Hollow Billets (중공소재를 사용한 스퍼어기어 단조에 관한 연구)

  • 조해용;최재찬;최종웅
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1995.04b
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    • pp.183-186
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    • 1995
  • A simulation method basee on upper bound method is developed in order to characterize forging characters in forging of spur gears. In this paer, utlizing a kinematically admissible velocity field and applying it to study the effect of inner diameter of holow billet. To predict the variation of inner diameter of hollow billet, neutal surface has been introduced into forging of hollow gears from hollow billes with flat punch. The neutral surface of each step is assumed as a circle and determined in order to have minimum forging energy by golden section method. According to the analysis, the magnitude of inner diameter of initial billet is vary important to reduce the relative pressure and forging load. And the variation of inner diameter of billet during spur gear forging is successfully predicted.

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A New Evaluation Method for Interfacial Properties of Composites using the Gradual Multi-Fiber Fragmentation Test (단계적 다섬유 Fragmentation 시험법을 이용한 복합재료의 계면적 특성에 대한 새로운 평가방법)

  • ;;Koichi Goda
    • Composites Research
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    • v.12 no.2
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    • pp.10-25
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    • 1999
  • A new evaluation method for the interfacial properties of fibrous composites based on a fragmentation technique is proposed by using the gradual multi-fiber composite, in which the inter-fiber spacing is gradually changed. The results showed that as the inter-fiber distance increased, the aspect ratio of broken fibers decreased while the interfacial shear strength between the fiber and matrix increased. When the reciprocal of the inter-fiber destance was taken for the above relations, both the aspect ratio and interfacial shear strength showed a saturated value. This means that the gradual multi-fiber composite indicates an upper bound in aspect ratio and an upper bound in interfacial shear strength. It was concluded that this fragmentation test could be a new method for composite evaluation, since reducing a difference between these two bounds is effective for composite strengthening. In addition an elastoplastic finite element analysis was carried out to relate the above results with fiber stress a distribution around fiber breaks. It was proved that the bound obtained in the gradual multi-fiber composite test is closely related to stress concentrations caused by a group of multi-fiber breaks.

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A Rapid Algorithm for Optimal Allocation in Combinatorial Auctions (조합 경매에서의 최적 분배를 위한 빠른 알고리즘)

  • 송진우;양성봉
    • Journal of KIISE:Computer Systems and Theory
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    • v.30 no.9
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    • pp.477-486
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    • 2003
  • In combinatorial auctions buyers nay bid for arbitrary combinations of goods. But determining the winners of combinatorial auctions who maximize the profit of a seller is known to be NP-complete. A branch-and-bound method can be one of practical algorithm for winner determination. However, bid selection heuristics play a very important role in the efficiency of a branch-and-bound method. In this paper, we designed and implemented an algorithm which used a branch-and-bound method and Linear Programming for winner determination in combinatorial auctions. We propose new bid selection heuristics which consider a branching bid and conflicting bids simultaneously to select a branching bid in the algorithm. In addition, upper bounds are reused to reduce the running time in specific cases. We evaluated the performance of the algorithm by experiments with five data distributions and compared our method with others. The algorithm using heuristics showed a superior efficiency in two data distributions and a similar efficiency in three distributions.

On determining seismic anchor force of anchoring frame structure supporting three-stage slope

  • Lin, Yu-liang;Lu, Li;Li, Ying-xin;Xue, Yuan;Feng, Zhi-jun;Wang, Zhi-meng;Yang, Guo-lin
    • Geomechanics and Engineering
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    • v.22 no.3
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    • pp.265-275
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    • 2020
  • As a flexible supporting structure, the anchoring frame structure is widely adopted to support multistage slopes in high earthquake-intensity area for its effectiveness and practicality. The previous study indicates that the anchor of anchoring frame structure is the most likely to be damaged during earthquakes. It is crucial to determine the pull-out capacity of anchor against seismic force for the seismic design of anchoring frame structure. In this study, an analytical model of a three-stage slope supported by anchoring frame structure is established, and the upper bound method of limit analysis is applied to deduce the seismic anchor force of anchoring frame structure. The pull-out capacity of anchor against seismic force of anchoring frame structure at each stage is obtained by computer programming. The proposed method is proved to be reasonable and effective compared with the existing published solution. Besides, the influence of main parameters on the pull-out capacity of anchor against seismic force is analyzed to provide some recommendations for the seismic design of anchoring frame structure.

A Study on the Bearing Capacity of the Sand Foundation Including the Dense Sand Layer (조밀한 층을 포함하는 사질 지반의 지지력에 관한 연구)

  • Park, Eun Young;Lee, Sang Duk;Kwon, Oh Yeoh;Hu, Chang Tack
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.13 no.2
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    • pp.237-242
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    • 1993
  • The bearing capacity of the sand foundation including a thin dense sand layer depends on the stiffiness, thickness and the location of the dense sand layer. In this paper was the influence of the dense sand layer on both the bearing capacity and the failure configuration is studied by means of K.E.M(Kinematic Element Method). K.E.M was implemented to get the excat solution starting from the upper bound of the analysis. The result show that the bearing capacity of the foundation and the failure configuration is greatly influenced by the dense sand layer, when the layer is located not deeper than 3/5 of the foundation width.

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