• Title/Summary/Keyword: Shape controllability

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A Controllable Ternary Interpolatory Subdivision Scheme

  • Zheng, Hongchan;Ye, Zhenglin;Chen, Zuoping;Zhao, Hongxing
    • International Journal of CAD/CAM
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    • v.5 no.1
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    • pp.29-38
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    • 2005
  • A non-uniform 3-point ternary interpolatory subdivision scheme with variable subdivision weights is introduced. Its support is computed. The $C^0$ and $C^1$ convergence analysis are presented. To elevate its controllability, a modified edition is proposed. For every initial control point on the initial control polygon a shape weight is introduced. These weights can be used to control the shape of the corresponding subdivision curve easily and purposefully. The role of the initial shape weight is analyzed theoretically. The application of the presented schemes in designing smooth interpolatory curves and surfaces is discussed. In contrast to most conventional interpolatory subdivision scheme, the presented subdivision schemes have better locality. They can be used to generate $C^0$ or $C^1$ interpolatory subdivision curves or surfaces and control their shapes wholly or locally.

Exact Controllability for Fuzzy Differential Equations in Credibility Space

  • Lee, Bu Young;Youm, Hae Eun;Kim, Jeong Soon
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.14 no.2
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    • pp.145-153
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    • 2014
  • With reasonable control selections on the space of functions, various application models can take the shape of a well-defined control system on mathematics. In the credibility space, controlability management of fuzzy differential equation is as much important issue as stability. This paper addresses exact controllability for fuzzy differential equations in the credibility space in the perspective of Liu process. This is an extension of the controllability results of Park et al. (Controllability for the semilinear fuzzy integro-differential equations with nonlocal conditions) to fuzzy differential equations driven by Liu process.

Studies on the Vibration Controllability of Smart Structure Depending on the Interfacial Adhesion Properties of Composite Materials (복합재료내의 계면 접착 특성에 따른 지능형 구조물의 진동제어에 관한 연구)

  • 한상보;박종만;차진훈
    • Journal of KSNVE
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    • v.8 no.6
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    • pp.1093-1102
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    • 1998
  • The success of controllability of smart structures depends on the quality of the bonding along the interface between the main structure and the attached sensing and acuating elements. Generally, the analysis procedures neglect the effect of the interfacial bond layer or assume that this bond layer behaves like viscoelastic material. Three different bond layers. two modified epoxy adhesives, and one isocyanate adhesive were prepared for their toughness and moduli. Bond layer of the chosen adhesive provides an almost perfect bonding condition between the composite structure and the PZT while bended significantly like arrow-shape. The perfect bonding condition is tested by considering various material properties of the bond layers. and based on this perfect bonding condition, the effects of the interfacial bond layer on the dynamic behavior and controllability of the test structure is experimentally studied. Once the perfect bonding condition is achieved. dynamic effects of the bond layer itself on the dynamic characteristics of the main structure is negligible. but the contribution of the attached PZT elements on the stiffness of the multi-layered structure becomes significant when the thickness of the bond layer increased.

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Technology of profile and shape control in the 6-high Tandem cold Rolling Mill (연속 6단 냉간압연기에서 Profile 및 형상제어 압연기술)

  • 박해두
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1999.08a
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    • pp.142-149
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    • 1999
  • Strip profile and shape control is one of the most important technologies in cold mill, especially for ultra-thin and wide cold strip. The 6-high mills, both of HCMW and UCMW mill, are known to be very effective for the shape controllability. The optimized values of these factors for set-up scheduling were analyzed and found that excellent strip control would be possible by controlling the combination of the influencing factors according to hot coil profile. The important considerations for operation were discussed for individual stand.

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Effects of Inductor Shape in Steel Forming Process with High Frequency Induction Heating (유도가열을 이용한 강판성형공정에서 유도코일 형상의 효과)

  • Yang, Young-Soo;Bae, Kang-Yul;Shin, Hee-Yun
    • Journal of Welding and Joining
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    • v.26 no.4
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    • pp.66-72
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    • 2008
  • Because of high intensity and easy controllability of the heat source, high frequency induction heating has been concerned and studied for the steel forming process in the ship building industry. However, the heating and forming characteristics have to be further properly modelled and analyzed for the process to be utilized with its optimal working parameters. In this study, a modelling with thermo-elasto-plastic analysis is performed using the FEM to study heat flow and deformation of the steel plate during the forming process with the electro-magnetic induction heating. The numerical model is then used to study the effect of the inductor shape on the magnitude of angular deformation of the plate during the forming process. It is revealed that the square shape of inductor induces the largest deformation among the rectangular inductors.

Aerodynamics Characteristics of Hypersonic Vehicle in Near Space

  • Wu, Dingyi;Liu, Zhenxia;Xiao, Hong
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2008.03a
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    • pp.503-505
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    • 2008
  • The purpose of the current study is to examine the aerodynamic characteristics of two hypersonic vehicles in near space. One is derived from waverider shape, and the other from liftbody. The objective of this study are threefold. The first is to creat an computational database for hypersonic vehicle configurations. The second is to examine the effects of individual vehicle components on hypersonic configurations and to determine the differences in aerodynamic characteristics that result from integrating all vehicle components. The third objective is to evaluate the controllability of each of the fully integrated vehicles and the effectiveness of the control surface design. These objectives were accomplished using DSMC solutions and aerodynamic code developed in Northwestern Polytechnical University. The results are analyzed also in three sections. First, the results of the waverider shape and liftbody shape without integrated vehicle components are presented. Second, the results of adding aircraft components to the waverider shape and liftbody shape are presented. Finally, the aerodynamic characteristics of the fully integrated waverider-derived configuration and liftbody-derived configuration are examined and compared with those of the pure waverider shape and liftbody shape. Comparation between fully integrated waverider-derived configuration and liftbody-derived configuration are also presented in this paper.

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Analysis of roll deformation for sendzimir rolling mill (젠지미어 압연기 롤 변형해석)

  • 이영호;김종택;한석영;이준정;김종근
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.14 no.6
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    • pp.1689-1699
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    • 1990
  • Sendzimir rolling mill is widely used for rolling hard materials such as stainless steel due to its small work roll diameter and shape controllability using two effective actuators, AS-U-Roll crown adjustment and lst. intermediate roll shifting. However, in comparison with 4-high or 6-high mills, it is noteasy to get good strip or excellent flatness because Z-mill has small diameter of work rolls which are easily deformed by load. A new mathematical model based on the method of dividing roll and strip into multo-portions was used to develop strip profile prediction software. Using the developed software, several influencing factors related to rolled strip profile for Z-Mill were tested analytically and characterized for the effective shape control. The effects of adjusting shape control actuators of Z-Mill on strip profile were also examined and discussed in detail.

Offsetting Curves Using Trigonometric Splines for Contour Cutting (윤곽 가공을 위한 삼각 스플라인을 이용한 오프셋 곡선의 생성)

  • Gu, Jiu-long;Yun, Jae-Deuk;Jung, Yoong-Ho
    • Korean Journal of Computational Design and Engineering
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    • v.15 no.4
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    • pp.253-260
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    • 2010
  • This paper presents algorithms for computing offsets of freeform curves. The approach first divides the original curve into several segments at the inflexion points. Based on the obtained new control polygon and its offsets, quadratic trigonometric splines are constructed to approximate the offset curves. Finally, the shape parameter value of trigonometric spline is determined to satisfy the required tolerance. The degree of the output curve is two, independent of the original curve's degree. Because of the great controllability, the proposed method can generate a completely overestimating offset curve by adjusting the value of the shape parameter, which guarantees no overcutting in NC machining. Furthermore, it also produces the lowest number of control points compared with other works.

Field Optimization Using NURB Surface in 3-Dimensional Space (NURB 곡면을 이용한 일반 3차원 전계최적화)

  • Lee, Byeong-Yoon;Kim, Eung-Sik;Park, Jong-Keun
    • Proceedings of the KIEE Conference
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    • 1991.11a
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    • pp.67-70
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    • 1991
  • When analyzing field or optimizing the shape of electrode in three dimensional space by using the surface charge method, we need to divide finely the surface of electrode into surface element like triangle or rectangle. In this case, there exist any variables in field analysis or field optimization. In particular, smoothness on the surface of optimized shape is not good. Recently, A paper is published where introducing NURB curve to field analysis and field optimization about two dimensional space model and axial symmetric three dimensional space model results in reduced variables, enhenced accuracy and improved smoothness. NURB curve has some useful properties like continuity, controllability and locality. Therefore in this paper, in order to improve the demerits of the established optimization method for three dimensional space models, the NURB surface that has same properties in common with NURB curve is used to analyze and optimize simple model.

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The Development of the Automatic Triangular Mesh Generation Software Using Modified Lo's Algorithm (수정된 Lo의 요소망 생성 알고리즘은 이용한 자동 삼각 요소망 생성 소프트웨어의 개발)

  • 김병옥;양현익
    • Korean Journal of Computational Design and Engineering
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    • v.5 no.1
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    • pp.95-101
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    • 2000
  • For last two decades numerous automatic mesh generation algorithms for various two dimensional objects have been introduced continuously and among them triangular mesh generation schemes have been majority because of efficiency and controllability. In our study, an existing triangular mesh generation algorithm developed by Lo is totally modified to more improve node distribution, element shape, and objects shape independency. ft is composed of node generation part and element generation part. In order to find a suitable node position within geometry, the suggested algorithm searches desirable positions of points within boundary and optimizes node position to generate comparatively well-shaped elements. More over, the suggested algorithm handles various complex two dimensional objects and its meshing speed shows superiority to those of the existing triangulation mesh generation algorithms. It is fully automated in a sense of constructing object boundary and hence can be directly used as an independent meshing software.

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