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Strongly Solid Varieties and Free Generalized Clones

  • Denecke, Klaus
    • Kyungpook Mathematical Journal
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    • v.45 no.1
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    • pp.33-43
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    • 2005
  • Clones are sets of operations which are closed under composition and contain all projections. Identities of clones of term operations of a given algebra correspond to hyperidentities of this algebra, i.e., to identities which are satisfied after any replacements of fundamental operations by derived operations ([7]). If any identity of an algebra is satisfied as a hyperidentity, the algebra is called solid ([3]). Solid algebras correspond to free clones. These connections will be extended to so-called generalized clones, to strong hyperidentities and to strongly solid varieties. On the basis of a generalized superposition operation for terms we generalize the concept of a unitary Menger algebra of finite rank ([6]) to unitary Menger algebras with infinitely many nullary operations and prove that strong hyperidentities correspond to identities in free unitary Menger algebras with infinitely many nullary operations.

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Measurement of three dimensional object shape by means of the phase-shifting shadow moire (위상이동 그림자 무아레법을 이용한 3차원 물체의 형상측정)

  • 유원재;노경완;강영준
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1997.04a
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    • pp.96-100
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    • 1997
  • The shadow moire is one of the optical techniques which is able to give contour lines of an object with respect to a master grating plane. The moire patterns are issued from the superposition of a master grating and its shadow projected on the surface of an object. In case of the classical shadow moire method, the sensitivity was a few tenths millimeters. generally, it is difficult to use a phase shift method in shadow moire because it is impossible to obtain uniform phase shifts on the whole field. But in this study we use the fact that if the depth of object is much less than the distance between the observer and the master grating, and the object is displaced perpendicularly to the grating plane, phase shifts are almost uniform. Finally we obtained a better resolution by using a phase shift procedure and applied the phase shifting shadow moire to three dimensional shape measurement.

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Flexibility Analysis of 4-Bar Linkage Mechanism (4절 링크기구의 유연성 해석)

  • 조선휘;박종근;한성현
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.6
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    • pp.1365-1373
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    • 1994
  • Elasto-dynamic deformation of flexible linkage mechanism was analyzed using the finite element method. A computer program was constructed and applied to analyze a specific crank-level 4-bar mechanism, in which the elasto-dynamic deformation of the mechanism system was obtained using mode superposition method in the case of constant input speed and the effect of geometric stiffness on the mechanism is included. Experimental verification of numerical results was conducted by measuring the elasto-dynamic deformation of mid-points of coupler and lever for the 4-bar lingkage mechanism using high speed camera and image data processing systeem. For the elasto-dynamic deformation at the lever mid-point, the numerical results including geometric stiffness almost agree with the experimental ones. However, the numerical results excluding geometric stiffness good agree with the experimental ones at the couper mid-point.

A Study Quantitative Analysis of Surface Roughness for Precision Machining of Sculptured Surface (자유곡면의 정밀가공을 위한 표면거칠기의 정량적 해석에 관한 연구)

  • 김병희;주종남
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.6
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    • pp.1483-1495
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    • 1994
  • A quantitative analysis of a surface roughness for a precision machining of a sculptured surface in milling process is treated under superposition theory in this paper. The geometrical surface rouhgness is calculated as a function of feed per tooth, path interval, radii of tool and cutting edge, and radii of curvatures of workiece. Through machining experiments in a 3-axis machining center, we confirmed the adequacy of the adequacy of the analysis. While cutter mark is neglegible in ball endmilling, it is significant in flat endmilling. When feed per tooth is very small, flat endmilling gives superior finish to ball endmilling. In flat endmilling, cutting condition and cutter path should be strategically chosen to balance the cutter mark height and cusp height.

Estimation of Dynamic Displacements from Strain Signal using Mode Shapesof Simply Supported Beam (단순보 모드형상을 이용하여 변형률 신호에서 동적변위 응답 추정)

  • Shin, Soo-Bong;Lee, Seon-Ung;Han, Ah-Reum-Sam;Kim, Hyun-Su;Kim, Hee-Dong
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2009.04a
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    • pp.326-331
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    • 2009
  • An algorithm is proposed for computing dynamic displacements of a bridge using FBG sensors. An existing algorithm for estimating dynamic displacements of a simply supported beam through mode superposition is extended and applied to various types of bridges with bending and torsional modes. The proposed algorithm is examined through field tests on a suspension span steel deck plate box girder bridge. Guidelines are provided for determining the number of modes and the number of strain gages to be used.

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Theoretical Temperature Analysis for 88316 Piping Weld (SS316강 배관 용접부에 대한 이론적 온도해석)

  • Kim, Jong-Sung;Lee, Seung-Gun;Jin, Tae-Eun;Kwon, Soon-Man
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.10
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    • pp.1623-1629
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    • 2003
  • In this paper, the arc beam is considered as a moving disc heat source with a pseudo-Gaussian distribution of heat intensity. The solution for temperature distribution on welds is derived by using the image heat source method and the superposition method. It is general solution in that it can determine the temperature-rise distribution in and around the arc beam heat source, as well as the width and depth of the melt pool (MP) and the heat-affected zone (HAZ) in welding short lengths, where quasi-stationary conditions may not have been established. As a comparative study, the results of this analytical approach has been compared with that of the finite-element modeling. As a result, The theoretical analysis presented here has shown good consistency and is more time/cost-effective method compared with FEM.

Development of an Algorithm for the Vision-Based Surface-Strain Measurment of Large Stamped Parts (비전을 이용한 중.대형 판재성형 제품의 곡면 변형률 측정 알고리듬 개발)

  • 김형종
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1999.03b
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    • pp.269-272
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    • 1999
  • It is still hard to measure the strain distribution over entire surface of a medium or large-size stamped part even by using an automated strain measurement system. Several methods which enable to enlarge the measurement range without losing accuracy and precision are suggested in this study, The superposition of images having different high-lightened or damaged part each other results in an enhanced image. A new method for constructing the element connectivity from a line-thinned image makes it possible to identify up to 1,000 elements. And the geometry assembling algorithm is proved very efficient in which the whole area to be measured is divided into several parts ; the coordinate transformation between every two adjacent parts is obtained from the concept of the least square error ; and the 3-D shape or strain distribution over the whole surface is assembled,

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Investigation of the Effect of Organoclay Additives on Mechanical Properties of PF resin and MPB-OSL using Creep Behavior Analysis and IB Test

  • Kim, Yong-Sik;Kadla, John F.
    • Journal of the Korean Wood Science and Technology
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    • v.39 no.5
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    • pp.381-389
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    • 2011
  • The effect of organoclays on the mechanical properties of cured phenol formaldehyde resin and oriented strand lumber made from Mountain Pine Beetle killed pine strands was analyzed. Three organoclays were used: a natural montmorillonite, hydrophobic organically modified 10 A, and hydrophilic organically modified 30 B. The oriented strand lumber samples were less creep deformation as well as improved internal bonding strength by adding organoclays in the order of 10 A 2% > MMT 2% > 30 B 2% > control. Furthermore, time-temperature superposition (TTS) analysis was proved to be able to predict the long-term creep behavior of MPB-OSL samples.

Fatigue Assessment of Very Large Container Ships Considering Springing Effect Based on Stochastic Approach

  • Jung, Byoung-Hoon;Ahn, In-Gyu;Seo, Sun-Kee;Kim, Beom-Il
    • Journal of Ocean Engineering and Technology
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    • v.34 no.2
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    • pp.120-127
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    • 2020
  • Evaluation of fatigue strength considering the springing effect of very large container ships is crucial in the design stage. In this study, we established a fatigue strength evaluation method considering a linear springing component in the frequency domain. Based on a three-dimensional global model, a fluid-structure interaction analysis was performed and the modal superposition method was applied to determine the hot spot stress at the hatch corner of very large container ships. Fatigue damage was directly estimated using the stress transfer function with a linear springing response. Furthermore, we proposed a new methodology to apply the springing effect to fatigue damage using hull girder loads. Subsequently, we estimated the fatigue damage contribution due to linear springing components along the ship length. Finally, we discussed the practical application of the proposed methods.

Thermal Characteristic Estimation of NC Machining Center Bed following Rib Structure (리브 구조에 따른 머시닝센터 베드의 열적 특성 평가)

  • Kim, Yang-Jin
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.19 no.6
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    • pp.746-752
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    • 2010
  • Rib structure has been used to bed and column of machine tool to heighten weight stiffness ratio, cost performance and weight saving. In this paper the bed rib structure was estimated with thermal characteristics. Using superposition principle, machine tool designer can describe every complicated heat generation in the machine tool thermal source. As thermal characteristics, thermal deformation of guide rail and column and Maximum-minimum temperature variation were selected. The size, configuration and direction against the thermal loading surface operated to the thermal characteristics. The DB chart was made following rib structure estimating thermal characteristics. With superposition principle and DB chart, machine tool designer can prognosticate the thermal characteristics without FEM analysis to every bed rib structure.