• Title/Summary/Keyword: envelope surfaces

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PYTHAGOREAN-HODOGRAPH CURVES IN THE MINKOWSKI PLANE AND SURFACES OF REVOLUTION

  • Kim, Gwang-Il;Lee, Sun-Hong
    • Journal of applied mathematics & informatics
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    • v.26 no.1_2
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    • pp.121-133
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    • 2008
  • In this article, we define Minkowski Pythagorean-hodograph (MPH) curves in the Minkowski plane $\mathbb{R}^{1,1}$ and obtain $C^1$ Hermite interpolations for MPH quintics in the Minkowski plane $\mathbb{R}^{1,1}$. We also have the envelope curves of MPH curves, and make surfaces of revolution with exact rational offsets. In addition, we present an example of $C^1$ Hermite interpolations for MPH rational curves in $\mathbb{R}^{2,1}$ from those in $\mathbb{R}^{1,1}$ and a suitable MPH preserving mapping.

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Swept Volumes Generated by Polyhedral Objects Through Screw Motions (스크류 운동을 하는 다면체의 스웹 볼륨 생성)

  • 김재정;정채봉;서경천;강민우
    • Korean Journal of Computational Design and Engineering
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    • v.7 no.4
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    • pp.211-218
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    • 2002
  • Swept volumes have been used in a wide variety of applications, and the literature contains much discussion of methods for computing the swept volumes in many situations. However, the commercially available CAD systems do not support the operations of generating the swept volumes enough to satisfy a variety of users' needs. In this paper, we present a new, simple and efficient algorithm for computing the swept volume of moving a polyhedron in 3-D region. The screw motion is used to describe the sweep motion of a polyhedron, because of its simplicity and computational advantages. The boundary of a swept volume is the result of combining the envelope surfaces and the partial boundaries at the initial and final position of a polyhedron. Some portions of these boundaries are inside the swept volume. We develop the algorithm to remove these interior portions. Then, to implement our algorithm, it is performed to integrate our program with the commercial CAD software, CATIA.

Envelope development and variation in Trachelomonas hispida (Euglenophyta)

  • Poniewozik, Malgorzata;Zieba, Emil;Sajnaga, Ewa
    • ALGAE
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    • v.33 no.4
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    • pp.305-318
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    • 2018
  • In Trachelomonas hispida, the adult envelope that surrounds the monad is oval in shape and covered with spines. Development of the lorica is an interesting, but poorly known phenomenon. We observed in detail the formation of spineless envelopes of T. hispida using light microscopy and scanning electron microscopy. The results showed that young cells formed delicate and net-like envelopes. The structure changed with age, and mature specimens had solid, thick loricae with small pores. As the loricae aged, they changed their shape, and rope-like fibres from the external layer started to unwind, progressing from the apical pore, exposing the underlying net-like structure. X-ray spectrometry showed that Fe was the major mineral component in young and mature loricae, whereas old loricae did not contain Fe salts, although they did contain a high number of Mn compounds. We also noticed a different pattern of mineralization process in the envelopes. Apart from the even distribution of mineral deposition over the entire lorica, we observed that it started from the apical pore and ended at the posterior end. There was considerable morphological variation in envelope shape and ornamentation, which had collars and folds around the apical pore and process at the posterior end. This suggested that many varieties of T. hispida should be taxonomically reappraised. We also discuss a hypothetical role for the spines on lorica surfaces in aquatic ecosystems.

Applying a Tracing Method to Compute Swept Volumes Generated by Free-form Objects in Screw Motions (스크류운동을 하는 자유형상 물체의 스웹볼륨 계산을 위한 추적법의 응용)

  • Kim, Hyoung-Q;Kim, Jay-Jung
    • Korean Journal of Computational Design and Engineering
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    • v.15 no.2
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    • pp.106-114
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    • 2010
  • The swept volume, the region of a moving object, is applied in many fields such as valid paths for motions of tools, visualization in robot paths and interference tests for parts assembling or disjointing. The shape of a swept volume depends on an generators computed with normal vectors of an object and velocity vectors of a motion. Although free-from surfaces are widely used to represent geometric models in CAD, computing the generators for a free-form object is a formidable task. Previous approaches exploit the closed form expressions of generators but limited to planer or quadric faces. In this paper, we propose the algorithm to compute swept volumes generated by free-form objects in screw motions. For the algorithm a tracing method is applied to the computation of generators. It considers curvatures of surfaces of an object to increase the computational accuracy. We implemented our algorithm in the CATIA V.5 environment to test the validity of our algorithm and to generate examples.

YSO Variability and Episodic Accretion

  • Lee, Jeong-Eun
    • The Bulletin of The Korean Astronomical Society
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    • v.46 no.2
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    • pp.35.1-35.1
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    • 2021
  • Variability in young stellar objects (YSOs) can be caused by various time-dependent phenomena associated with star formation, including accretion rates, geometric changes in the circumstellar disks, stochastic hydromagnetic interactions between stellar surfaces and inner disk edges, reconnections within the stellar magnetosphere, and hot/cold spots on stellar surfaces. Among these YSO variability phenomena, bursts of accretion, which are the most remarkable variability, usually occur sporadically, making it challenging to catch the bursting moments observationally. However, the burst accretion process significantly affects the chemical conditions of the disk and envelope of a YSO, which can be used as a prominent tracer of episodic accretion. I will introduce our ensemble studies of YSO variability at mid-IR and submillimeter and also cover the ALMA observations of several YSOs in the burst accretion phase, especially in the view of chemistry.

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Adaptive and Robust Aeroelastic Control of Nonlinear Lifting Surfaces with Single/Multiple Control Surfaces: A Review

  • Wang, Z.;Behal, A.;Marzocca, P.
    • International Journal of Aeronautical and Space Sciences
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    • v.11 no.4
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    • pp.285-302
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    • 2010
  • Active aeroelastic control is an emerging technology aimed at providing solutions to structural systems that under the action of aerodynamic loads are prone to instability and catastrophic failures, and to oscillations that can yield structural failure by fatigue. The purpose of the aeroelastic control among others is to alleviate and even suppress the vibrations appearing in the flight vehicle subcritical flight regimes, to expand its flight envelope by increasing the flutter speed, and to enhance the post-flutter behavior usually characterized by the presence of limit cycle oscillations. Recently adaptive and robust control strategies have demonstrated their superiority to classical feedback strategies. This review paper discusses the latest development on the topic by the authors. First, the available control techniques with focus on adaptive control schemes are reviewed, then the attention is focused on the advanced single-input and multi-input multi-output adaptive feedback control strategies developed for lifting surfaces operating at subsonic and supersonic flight speeds. A number of concepts involving various adaptive control methodologies, as well as results obtained with such controls are presented. Emphasis is placed on theoretical and numerical results obtained with the various control strategies.

Thermal Performance Evaluation Monitoring Study of Transparent Insulation Wall System (투명단열 축열벽 시스템의 열성능 평가 실험 연구)

  • Kim, B.S.;Yoon, J.H.;Yoon, Y.J.;Baek, N.C.;Lee, J.S.
    • Journal of the Korean Solar Energy Society
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    • v.23 no.1
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    • pp.1-8
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    • 2003
  • Various efforts to combine new high-tech materials with solar system have been progressed nowadays in order to improve the performance of the existing passive solar system. TIM(Transparent Insulation Material) replacing the conventional outer building envelope glazing as well as the wall is good example for this trend. TI integrated wall is a thermal mass wall with a special shaped TIM instead of using typical envelope materials The tested TIM type is a small(diameter 4mm and thickness 50mm) capillary tube of Okalux model and cement brick(density 1500kg/m3). The purpose of this study was to analyze the thermal performance through the actual measurements performed in a test cell. This study was carried out to justify the following issues. 1) the impact of Tl-wall over the temperature variations 2) the impact of mass wall surface absorptance over the transient thermal behavior and 3) the impact of thermal mass wall thickness over the temperature variations. Finally, as results indicated that the peak time of room temperature was shifted about one hour early when absorptance of thermal mass wall changed from 60% to 95% for the 190mm thickness thermal mass wall test case. the temperature difference of both surfaces of thermal mass wall surface showed about $23^{\circ}C$ during a day of March for the 380mm thickness thermal mass wall case. However, the thermal mass wall was over-heated by outside temperature and solar radiation in a day of May the temperature difference of both surfaces of thermal mass wall surface was indicated $10^{\circ}C$ and inside temperature was observed more than average 22C.

GINGIVAL COVERAGE WITH CONNECTIVE TISSUE GRAFT TECHNIQUES ON DENUDED ROOT SURFACES (결합조직 이식술을 이용한 노출치근면의 치은피개)

  • Kim, Young-Jun;Jin, Yoo-Nam;Chung, Hyun-Ju
    • Journal of Periodontal and Implant Science
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    • v.25 no.1
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    • pp.121-132
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    • 1995
  • Patients, who have gingival recession and complain of root sensitivity, or esthetic concerns, are candidates for root coverage. When free gingival grafting is used for complete root corverage, the results may not be entirely predictible unless the recession is shallow and narrow because a free gingival graft depends on collateral circulation from the lateral and apical parts of the recipient bed to survive over the avascular root. Various pedicle graft techniques can produce more esthetic results, but these procedures are only indicated when adequate donor tissues are available adjacent to the defect. This case report presents three cases for root coverage using the various connective tissue graft techniques. In the first case(Class III & IV), subepithelial connective tissue grafting was done and resulted in gingival coverage on the two-thirds of exposed root surface and blended with the adjacent tissue in color and texture. In the second case(Class I), connective tissue and partial thickness double pedicle graft resulted in complete coverage of denuded root surface. In the third case(Class I), recession was treated by supraperiosteal envelope technique. The root surface was covered completely and esthetically. Finally, the esthetics in both colors and tissue contours were acceptable to patients in all cases by the connective tissue grafting. However, in the case of the reduced interdental bone, the denuded root surfaces were hardly covered completely.

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Generating Cartesian Tool Paths for Machining Sculptured Surfaces from 3D Measurement Data (3차원 측정자료부터 자유곡면의 가공을 위한 공구경로생성)

  • Ko, Byung-Chul;Kim, Kwang-Soo
    • Journal of Korean Institute of Industrial Engineers
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    • v.19 no.3
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    • pp.123-137
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    • 1993
  • In this paper, an integrated approach is proposed to generate gouging-free Cartesian tool paths for machining sculptured surfaces from 3D measurement data. The integrated CAD/CAM system consists of two modules : offset surface module an Carteian tool path module. The offset surface module generates an offset surface of an object from its 3D measurement data, using an offsetting method and a surface fitting method. The offsetting is based on the idea that the envelope of an inversed tool generates an offset surface without self-intersection as the center of the inversed tool moves along on the surface of an object. The surface-fitting is the process of constructing a compact representation to model the surface of an object based on a fairly large number of data points. The resulting offset surtace is a composite Bezier surface without self-intersection. When an appropriate tool-approach direction is selected, the tool path module generates the Cartesian tool paths while the deviation of the tool paths from the surface stays within the user-specified tolerance. The tool path module is a two-step process. The first step adaptively subdivides the offset surface into subpatches until the thickness of each subpatch is small enough to satisfy the user-defined tolerance. The second step generates the Cartesian tool paths by calculating the intersection of the slicing planes and the adaptively subdivided subpatches. This tool path generation approach generates the gouging-free Cartesian CL tool paths, and optimizes the cutter movements by minimizing the number of interpolated points.

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Longitudinal Flight Control of a Transport Aircraft Using Thrust Only

  • Ochi, Y.;Kanai, K.
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.148.3-148
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    • 2001
  • This paper deals with a problem of decreasing the airspeed and the altitude of a transport aircraft using thrust only. Such a situation can occur, if the aircraft loses all hydraulic power that drives the control surfaces. A controller for flight path angle control is designed using the model following servo control method, which is a PI-type optimal regulator. For computer simulation, a simulation model that covers a range of flight envelope is made using given linear models and trim points at some flight conditions. Nondimensional aerodynamic coefficients, derivatives and trim points that are not at the given trim points are computed by linear interpolation. The model is effective in simulation where the trim point varies. Simulation using ...

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