• Title/Summary/Keyword: rational surface

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Research on Machineability in NURBS Interpolator Considering Constant Material Removal Rate (소재제거율을 일정하게 한 NURBS 보간기에서 절삭성 고찰)

  • Ko Tae Jo;Kim Hee Sul
    • Journal of the Korean Society for Precision Engineering
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    • v.21 no.12
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    • pp.60-66
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    • 2004
  • Increasing demands on precision machining of 3D free-form surface have necessitated the tool to move smoothly with varying feedrate. To this regard, parametric interpolators such as NURBS (Non-Uniform Rational B-Spline) interpolator have been introduced in CNC machining system. Such interpolators reduce the data burden in NC code, increase data transfer rate into NC controller, and finally give smooth motion while machining. In this research, a new concept to control cutting load in NURBS Interpolator was tried based on the curvature of curve. This is to protect cutting tool, and to have good machinability. For proof of the system, cutting force and surface topography were evaluated. From the experimental results. the interpolator is good enough for machining a free-form surface.

Dynamic Behaviors of Highway Bridges under Multi-Traffic Loads (차량통행특성에 따른 도로교의 동적거동변화)

  • 김상효;이상호;윤성호
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1997.04a
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    • pp.185-191
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    • 1997
  • The study presents the linear dynamic analysis of bridges under vehicular movement to examine the performance characteristics due to the various structural and loading conditions. The road surface roughness and bridge-vehicle interactions are considered. The road surface profiles for the approaching roadway and bridge decks are generated from power spectral density functions for different road roughness conditions. A new filtering method using the wheel trace is proposed to obtain the more rational bridge-vehicle interactions from the randomly generated road surface. The dynamic responses of various bridges designed according to current design practice are examined, in which important structural parameters(such as span length, girder spacing, etc.) are considering systematically. In addition, the traffic conditions of multi-truck traveling either consecutively on the same lane or side-by-side on the adjacent lanes are also evaluated.

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INVARIANTS OF DEFORMATIONS OF QUOTIENT SURFACE SINGULARITIES

  • Han, Byoungcheon;Jeon, Jaekwan;Shin, Dongsoo
    • Journal of the Korean Mathematical Society
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    • v.56 no.5
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    • pp.1173-1246
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    • 2019
  • We find all P-resolutions of quotient surface singularities (especially, tetrahedral, octahedral, and icosahedral singularities) together with their dual graphs, which reproduces (a corrected version of) Jan Steven's list [Manuscripta Math. 1993] of the numbers of P-resolutions of each singularities. We then compute the dimensions and Milnor numbers of the corresponding irreducible components of the reduced base spaces of versal deformations of each singularities. Furthermore we realize Milnor fibers as complements of certain divisors (depending only on the singularities) in rational surfaces via the semi-stable minimal model program for 3-folds. Then we compare Milnor fibers with minimal symplectic fillings, where the latter are classified by Bhupal and Ono [Nagoya Math. J. 2012]. As an application, we show that there are 6 pairs of entries in the list of Bhupal and Ono [Nagoya Math. J. 2012] such that two entries in each pairs represent diffeomorphic minimal symplectic fillings.

Hybrid Resource Allocation Scheme in Secure Intelligent Reflecting Surface-Assisted IoT

  • Su, Yumeng;Gao, Hongyuan;Zhang, Shibo
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.16 no.10
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    • pp.3256-3274
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    • 2022
  • With the rapid development of information and communications technology, the construction of efficient, reliable, and safe Internet of Things (IoT) is an inevitable trend in order to meet high-quality demands for the forthcoming 6G communications. In this paper, we study a secure intelligent reflecting surface (IRS)-assisted IoT system where malicious eavesdropper trying to sniff out the desired information from the transmission links between the IRS and legitimate IoT devices. We discuss the system overall performance and propose a hybrid resource allocation scheme for maximizing the secrecy capacity and secrecy energy efficiency. In order to achieve the trade-off between transmission reliability, communication security, and energy efficiency, we develop a quantum-inspired marine predator algorithm (QMPA) for realizing rational configuration of system resources and prevent from eavesdropping. Simulation results demonstrate the superiority of the QMPA over other strategies. It is also indicated that proper IRS deployment and power allocation are beneficial for the enhancement of system overall capacity.

REMARKS ON CURVES OF MAXIMAL REGULARITY IN ℙ3

  • Lee, Wanseok
    • East Asian mathematical journal
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    • v.36 no.3
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    • pp.349-357
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    • 2020
  • For a nondegenerate projective curve C ⊂ ℙr of degree d, it was shown that the Castelnuovo-Mumford regularity reg(C) of C is at most d - r + 2. And the curves of maximal regularity which attain the maximally possible value d - r + 2 are completely classified. In this short note, we first collect several known results about curves of maximal regularity. We provide a new proof and some partial results. Finally we suggest some interesting questions.

Surface Rendering using Stereo Images

  • Lee, Sung-Jae;Lee, Jun-Young;Lee, Myoung-Ho;Kim, Jeong-Hoon
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.181.5-181
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    • 2001
  • This paper presents the method of 3D reconstruction of the depth information from the endoscopic stereo scopic images. After camera modeling to find camera parameters, we performed feature-point based stereo matching to find depth information. Acquired some depth information is finally 3D reconstructed using the NURBS(Non Uniform Rational B-Spline) algorithm. The final result image is helpful for the understanding of depth information visually.

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A Flow Analysis of Vectored Thrust Nozzle Using Incompressible Navier-Stokes Solver (비압축성 Navier-Stokes 방정식을 이용한 추력 편향 노즐 해석(원통에서 사각형으로 변환하는 내부 흐름을 중심으로))

  • Shin Dae-Yong;Yoon Yong-Hyun
    • 한국전산유체공학회:학술대회논문집
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    • 1997.10a
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    • pp.66-72
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    • 1997
  • Circular-to-rectangular transition ducts are used as exhaust components of high performance fighter aircraft with vectored thrust nozzles. Three-dimensional incompressible Navier-Stokes solver is used to analyze the transition duct. Cross sections of transition duct are defined by superelliptic equation. The grid system is generated by Non-Uniform Rational B-Spline, after generating surface grid by blending the cross sections. Good agreement between the results of the computational simulation and the experimental data is observed.

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The effects of Joint Stiffness On Concrete Pavements (콘크리트 포장구조에서 조인트 강성의 영향)

  • 조병완
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1990.04a
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    • pp.50-52
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    • 1990
  • Although concrete pavements were successfully widespread throughout the nation due to the desirable surface characteristics, durability, and economy, it still causes several transverse cracking and joint failure problems in some areas. In this paper, the major emphasis was given to provide a rational analytical approach on joint failure mechanisms, considering several sets of joint stiffnesses on different subgrade moduli. Besides , load transfer mechanisms on concrete pavement joints were highlighted with finite element method and computer modeling.

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