• Title/Summary/Keyword: Non-circular

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Influence of Pad Shape on Self-Alignment in BGA Soldering (BGA 솔더링에서 패드 형상이 자기정렬에 미치는 영향)

  • 안도현;정용진;유중돈;김용석
    • Journal of Welding and Joining
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    • v.21 no.4
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    • pp.87-91
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    • 2003
  • Effects of the circular and non-circular pad shapes on self-alignment in BGA soldering are predicted using Surface Evolver, and the calculated results are compared with experimental data. While the pad shape has minor effects on self-alignment in the vertical direction, self-alignment in the lateral direction depends on the pad direction and length ratio of the non-circular pad. Larger restoring force is obtained in the minor-axis direction than the major-axis direction, which suggests a possibility of reducing misalignment in the specific direction. The restoring force of the circular pad is between those of the non-circular pad in the major and minor-axis directions. The calculated results of Surface Evolver show reasonably good agreements with experimental data using the shear loading system.

Determination of Designing Condition for a Velocity of Inequality Rotatonal Equipment with Non-Circular Gears. (비원형기어를 이용한 부등속 회전기구의 설계 변수에 관한 연구)

  • 차철웅;최상훈
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1996.11a
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    • pp.861-866
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    • 1996
  • The Non-Circular Gears is more advantage than other machinery using link and cam in the automation equipment. We designed Non-Circular Gears for a velocity of inequalty rotational equipment according to the variation of pressure angle, radius of curvature etc., and studied about pitch curve.

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A Study on the Proper Scope for Pressure Angle, Ratio of Tooth Number & Radius of Curvature in Non-Circular Gears (비원형기어에서의 압력각과 잇수비 및 곡률반경의 적정범위에 관한 연구)

  • Park, S.H.
    • Journal of the Korean Society for Precision Engineering
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    • v.14 no.6
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    • pp.52-63
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    • 1997
  • Non-circular gear has a good velocity ratio in high speed and heavy load without any slip, moreover, it can transmit various motion, using simpler structure than link and cam, automation mechainism. In case of designing and manufacturing non-circular gear. I suggest one of references in applying non-circular gear to industrial plant, and suitable range of application by pressure angle curvature and angle ratio

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Investigation of cold-formed stainless steel non-slender circular hollow section columns

  • Ellobody, Ehab;Young, Ben
    • Steel and Composite Structures
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    • v.7 no.4
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    • pp.321-337
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    • 2007
  • The investigation on the behaviour of cold-formed stainless steel non-slender circular hollow section columns is presented in this paper. The normal strength austenitic stainless steel type 304 and the high strength duplex materials (austenitic-ferritic approximately equivalent to EN 1.4462 and UNS S31803) were considered in this study. The finite element method has been used to carry out the investigation. The columns were compressed between fixed ends at different column lengths. The geometric and material nonlinearities have been included in the finite element analysis. The column strengths and failure modes were predicted. An extensive parametric study was carried out to study the effects of normal and high strength materials on cold-formed stainless steel non-slender circular hollow section columns. The column strengths predicted from the finite element analysis were compared with the design strengths calculated using the American Specification, Australian/New Zealand Standard and European Code for cold-formed stainless steel structures. The numerical results showed that the design rules specified in the American, Australian/New Zealand and European specifications are generally unconservative for the cold-formed stainless steel non-slender circular hollow section columns of normal and high strength materials, except for the short columns and some of the high strength stainless steel columns. Therefore, different values of the imperfection factor and limiting slenderness in the European Code design rules were proposed for cold-formed stainless steel non-slender circular hollow section columns.

Dynamic analysis of helicoidal bars with non-circular cross-sections via mixed FEM

  • Eratli, Nihal;Yilmaz, Murat;Darilmaz, Kutlu;Omurtag, Mehmet H.
    • Structural Engineering and Mechanics
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    • v.57 no.2
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    • pp.221-238
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    • 2016
  • One of the objectives of this study is to implement the direct calculation of the torsional moment of inertia for non-circular cross-sections, which is based on the St. Venant torsion formulation and the finite element method. Recently the proposed method provides a unique calculation of the torsional rigidity of simply and multiply connected cross-sections. Next, free vibration analyses of cylindrical and non-cylindrical helices with non-circular cross-sections are solved by a curved two-nodded mixed finite element based on the Timoshenko beam theory. Some thin-thick closed or open sections are handled and the natural frequencies of cylindrical and non-cylindrical helices are compared with the literature and the commercial finite element program SAP2000.

A Study on Combustion Characteristics of Non-Circular Grain in Hybrid Rocket for RATO (Rocket-Assisted Take Off) System (RATO(Rocket-Assisted Take Off) 시스템 적용을 위한 하이브리드 로켓 비단공형 연료 그레인 기초 연소특성 연구)

  • Su Jin Kim;Su Han Ko;Sul Hee Kim;Gyeong Mo Kim;Seong Geun Lee;Ye Chan Han;Hee Jang Moon
    • Journal of the Korean Society for Aviation and Aeronautics
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    • v.30 no.4
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    • pp.184-190
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    • 2022
  • In an attempt to apply hybrid rocket to the RATO (Rocket-Assisted Take Off) system, combustion characteristics of the non-circular grain were figured out in this study. Having larger combustion area, it was reconfirmed that the non-circular grain has advantages over regression rate, characteristic velocity and chamber pressure in which all gave higher values. Experiments were performed to understand the effect of the non-circular grain geometry over time where local regression rates depending on grain location were analyzed. It was found that the regression rate of five distinct locations were different. Partial conclusion driven was that these differences are due to the heat transfer caused by dissimilar distances from the flame layer. Besides, as combustion duration increased, the fuel port became circular, and the regression rate converged to a single value over the whole grain.

Non-periodic motions and fractals of a circular arch under follower forces with small disturbances

  • Fukuchi, Nobuyoshi;Tanaka, Takashi
    • Steel and Composite Structures
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    • v.6 no.2
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    • pp.87-101
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    • 2006
  • The deformation and dynamic behavior mechanism of submerged shell-like lattice structures with membranes are in principle of a non-conservative nature as circulatory system under hydrostatic pressure and disturbance forces of various types, existing in a marine environment. This paper deals with a characteristic analysis on quasi-periodic and chaotic behavior of a circular arch under follower forces with small disturbances. The stability region chart of the disturbed equilibrium in an excitation field was calculated numerically. Then, the periodic and chaotic behaviors of a circular arch were investigated by executing the time histories of motion, power spectrum, phase plane portraits and the Poincare section. According to the results of these studies, the state of a dynamic aspect scenario of a circular arch could be shifted from one of quasi-oscillatory motion to one of chaotic motion. Moreover, the correlation dimension of fractal dynamics was calculated corresponding to stochastic behaviors of a circular arch. This research indicates the possibility of making use of the correlation dimension as a stability index.

Automatic Coin Calculation System using Circular Hough Transform and Post-processing Techniques (원형 Hough 변환 및 후처리기법을 이용한 동전 자동 계산 시스템)

  • Chae, S.;Jun, Kyungkoo
    • Journal of Korea Multimedia Society
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    • v.17 no.4
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    • pp.413-419
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    • 2014
  • In this paper, we develop an automatic coin calculation system by using digital image processing. Existing schemes have the problem that is not able to exclude non-circular shape from the calculation. We propose a method to detect only coins which have circular form by applying the circular Hough transform(CHT). However, the CHT has the drawback that detects multiple circles even for just one coin because of shadow noise, the patterns on coins, and non-circular edge detection. We propose a post processing algorithm to overcome these limitations. The proposed system was implemented and successfully calculated the coin amount in the case that non-circular objects are mixed with coins.

An Experimental Anlysis in Non-Circular Tube Extrusion Using the Effective Extrusion Ratio (비원형 중공 압출의 유효 압출비를 이용한 실험적 해석)

  • 한철호;김상화
    • Transactions of Materials Processing
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    • v.8 no.5
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    • pp.520-526
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    • 1999
  • In this study a practical formula based on the experime수 랙 the estimation of load in the non-circular tube extrusion with the mandrel is proposed by using the effective extrusion ratio. Through some experiments for the several shaped sections, the coefficients of the empirical equation are determined by ticine as a model material at room temperature. The proposed empirical formula for the estimation of extrusion load will be applicable to the non-steady state as well as steady state for the extrusion of various shaped tubes from hollow billets.

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An asymptotic analysis on non-linear free vibration of squarely-reticulated circular plates

  • Nie, G.H.
    • Structural Engineering and Mechanics
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    • v.8 no.6
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    • pp.547-560
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    • 1999
  • In this paper an asymptotic iteration method is adopted to analyze non-linear free vibration of reticulated circular plates composed of beam members placed in two orthogonal directions. For the resulting linear ordinary differential equations in the process of iteration, the power series with rapid convergence has been applied to obtain an analytical solution for non-linear characteristic relation between the amplitude and frequency of the structure. Numerical examples are given, and the phenomena indicating hardening of such structures have been presented for the (immovable or movable) simply-supported and clamped circular plates.