• Title/Summary/Keyword: Plotting Curves

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EFFICIENT PLOTTING OF CLOSED POLAR CURVES WITH MATHEMATICA

  • Lee, Kwang-Bok;Kim, Young-Ik
    • The Pure and Applied Mathematics
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    • v.5 no.2
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    • pp.133-142
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    • 1998
  • A simple mathematical theory is developed on the periodicity of elementary polar functions. The periodicity plays an important role in efficient plotting of some closed polar curves, without the excessive use of plotting devices and materials. An efficient plotting algorithm utilizing the periodicity is proposed and its implementation by a Mathematica program is introduced for a family of closed polar functions.

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Dynamical behaviour of electrically actuated microcantilevers

  • Farokhi, Hamed;Ghayesh, Mergen H.
    • Coupled systems mechanics
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    • v.4 no.3
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    • pp.251-262
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    • 2015
  • The current paper aims at investigating the nonlinear dynamical behaviour of an electrically actuated microcantilever. The microcantilever is excited by a combination of AC and DC voltages. The nonlinear equation of motion of the microcantilever is obtained by means of force and moment balances. A high-dimensional Galerkin scheme is then applied to reduce the equation of motion to a discrete model. A numerical technique, based on the pseudo-arclength continuation method, is used to solve the discretized model. The electrostatic deflection of the microcantilever and static pull-in instabilities, due to the DC voltage, are analyzed by plotting the so-called DC voltage-deflection curves. At the simultaneous presence of the DC and AC voltages, the nonlinear dynamical behaviour of the microcantilever is analyzed by plotting frequency-response and force-response curves.

SOME SPECIAL SMARANDACHE RULED SURFACES BY FRENET FRAME IN E3-II

  • Suleyman, Senyurt;Davut, Canli;Elif, Can;Sumeyye Gur, Mazlum
    • Honam Mathematical Journal
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    • v.44 no.4
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    • pp.594-617
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    • 2022
  • In this study, firstly Smarandache ruled surfaces whose base curves are Smarandache curves derived from Frenet vectors of the curve, and whose direction vectors are unit vectors plotting Smarandache curves, are created. Then, the Gaussian and mean curvatures of the obtained ruled surfaces are calculated separately, and the conditions to be developable or minimal for the surfaces are given. Finally, the examples are given for each surface and the graphs of these surfaces are drawn.

Studies on Corrosion Inhibitors (Inhibitor에 關한 硏究)

  • Kae Soo Lee
    • Journal of the Korean Chemical Society
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    • v.13 no.1
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    • pp.13-15
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    • 1969
  • This investigation is to make comparative evaluation of the corrosion inhibiting effects of quinoline, oxine and 7-nitroso 8-hydroxy quinoline (7NHQ). In case of quinoline, and oxine, since the N atom in them functions as cation, the process involved is assumed to be cathode control. On the other hand 7-NHQ was found to form a stable chelate compound with $Fe^{++}$ ion in acidic solution and shows as anode control predominantly. After plotting polarization curves, Tafel parameters were calculated in each solution involving the inhibitors, at the same time corrosion inhibiting effects were separately measured and compared from data of both corrosion current and analytical method.

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Analytic and Discrete Fairing of 3D NURBS Curves (3D NURBS 곡선의 해석적 및 이산적 순정)

  • 홍충성;홍석용;이현찬
    • Korean Journal of Computational Design and Engineering
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    • v.4 no.2
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    • pp.127-138
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    • 1999
  • For reverse engineering, curves and surfaces are modeled for new products by interpolating the digitized data points. But there are many measuring or deviation errors. Therefore, it is important to handle errors during the curve or surface modeling. If the errors are ignored, designer could get undesirable results. For this reason, fairing procedure with the aesthetics criteria is necessary in computer modeling. This paper presents methods of 3D NURBS curve fairing. The techniques are based on automatic repositioning of the digitized dat points or the NURBS curve control points by a constrained nonlinear optimization algorithm. The objective function is derived variously by derived curved. Constraints are distance measures between the original and the modified digitized data points. Changes I curve shape are analyzed by illustrations of curve shapes, and continuous plotting of curvature and torsion.

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UV LINE EMISSIONS OF 44i BOOTIS (44i BOO의 자외선 방출연구)

  • 한동주;김용기;한원용;이우백
    • Journal of Astronomy and Space Sciences
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    • v.15 no.2
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    • pp.335-340
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    • 1998
  • We obtained UV light curves of 44i Bootis, a W UMa type star from the IUE low dispersion spectra. In order to investigate variations of the emission lines from chromospheric activity and transition region, UV line intensity has been measured for CI, CII, ClV, SiIV, HeII lines. Through plotting the line intensity with the orbital phase, we found that emission lines showed maximum at $0^p.2;and;0^p.8$ of the light curves, indicating the chromospheric activity of contact binary, 44i Bootis. We found that the light curves of UV emission lines is strongly modulated by the variation of chromospheric activities of 44i Bootis.

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The Characteristic Curves of Commercial Medical X-ray Films (상용 의학용 X-ray 필름의 특성곡선)

  • Heo, Hoon;Jeong, Yeon-Tae;Lee, Jae-Sung
    • Journal of the Korean Graphic Arts Communication Society
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    • v.19 no.2
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    • pp.12-21
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    • 2001
  • For the purpose of determining characteristics of widely used commercial medical x-ray films, which are used for obtaining the Linac-grams for radiational treatment of cancers, we placed several commercial x-ray films at a fixed distance form the linear accelerator. After varying the exposed amount of radiation step by step, we could obtain a continually increasing density image for each film whose densities were determined by microdensitometer readings. The characteristic curves of the films were obtained by plotting the densities vs. the exposed radiation amounts, and their ${\gamma}$ values were determined. These values can be used to suggest a minimum necessary amount of exposed radiation to get a useful Linac-gram. The measured ${\gamma}$ values of the characteristic curves of the Kodak-DVP/RA-1 film were 1.73 when used 6MV x-ray, 1.70 when used 15MV of intensity. For the Konica-AX film, ${\gamma}$ values were 1.29 and 1.18 respectively. The result suggests that the effective conditions for high resolution of a L-gram be 6 MV of x-ray intensity and about 3 rad of exposed dose on a Kodak-DVP/RA-1 film.

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FATIGUE DESIGN FORSUS30IL SPOT-WELDED MULTI-LAP JOINTS SUBJECTED TO TENSILE SHEAR LOAD

  • Na, T.H.m;Jung, W.S.;Bae, D.H;I.S.Shon
    • Proceedings of the KWS Conference
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    • 2002.10a
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    • pp.121-126
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    • 2002
  • The railroad cars or the commercial vehicles are generally manufactured by the spot welding. Among various kinds of spot welded lap joints, multi-lap joints are one of popular joints in manufacturing their body structures. But, fatigue strength of these joints are lower than that of base metal due to high stress concentration at the nugget edge of the spot weld and are known to considerably be influenced by welding conditions as well as the mechanical and geometrical factors. Thus, it is necessary to establish a reasonable and systematic fatigue design criterion for spot welded multi-lap joints. In this paper, the $\Delta$P-N$_{f}$ curves has been rearranged in the $\Delta$$\sigma$-N$_{f}$ relation with the maximum stress at the nugget edge of spot welded multi-lap joints subjected to tensile shear load. Consequently, the fatigue data were evaluated in terms of fracture mechanics by plotting on the $\Delta$OP-N$_{f}$ curves. From the results obtained, both of them have been revealed to be applicable to fatigue design of spot welded multi-lap joints. However, the fracture mechanical approach is found to be more effective than the maximum stress approach in the range on N$_{f}$$\geq$2x10$^{5}$ . .

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Propagation of love-type wave in a temperature dependent crustal Layer

  • Kakar, Rajneesh;Kakar, Shikha;Narang, Rajeev Kumar
    • Smart Structures and Systems
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    • v.19 no.3
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    • pp.237-241
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    • 2017
  • The present study deals with the propagation of Love wave (a type of surface wave) in crustal layer having temperature dependent inhomogeneity. It is assumed that the inhomogeneity in the crustal layer arises due to linear temperature variation in rigidity and density. The upper boundary of the crustal layer is traction free. Numerical results for Love wave are discussed by plotting analytical curves between phase velocity against wave number and stress against depth in the presence of inhomogeneity and temperature parameters. The effects boundary condition on the Love wave propagation in the crustal layer is also analyzed. The results presented in this study would be useful for seismologists and geologists.

Computer Testing System for Pumps

  • Xiao, Chongren
    • Proceedings of the Korean Society for Agricultural Machinery Conference
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    • 1996.06c
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    • pp.598-606
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    • 1996
  • Computer testing system for pumps is an automatic measuring and testing system micro computer. There are two functions to this system. 1. Automatically controlling the testing processes. It includes controlling to testing devices, adjusting test points and starting or stopping the pump. 2. Automatically collecting and calculating the testing data. It includes the collection and calculation of the parameters to be measured, printing the testing reports and plotting the testing curves. When using it the measuring accuracy may be improved and the time for testing may be compressed by use the system . So it is used widely on the world. In this paper the basic construction and the work principle and the testing processes are described.

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