• 제목/요약/키워드: Plotting Curves

검색결과 32건 처리시간 0.025초

EFFICIENT PLOTTING OF CLOSED POLAR CURVES WITH MATHEMATICA

  • Lee, Kwang-Bok;Kim, Young-Ik
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제5권2호
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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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    • 제4권3호
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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
    • 호남수학학술지
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    • 제44권4호
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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.

Inhibitor에 關한 硏究 (Studies on Corrosion Inhibitors)

  • 이계수
    • 대한화학회지
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    • 제13권1호
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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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3D NURBS 곡선의 해석적 및 이산적 순정 (Analytic and Discrete Fairing of 3D NURBS Curves)

  • 홍충성;홍석용;이현찬
    • 한국CDE학회논문집
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    • 제4권2호
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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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44i BOO의 자외선 방출연구 (UV LINE EMISSIONS OF 44i BOOTIS)

  • 한동주;김용기;한원용;이우백
    • Journal of Astronomy and Space Sciences
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    • 제15권2호
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    • pp.335-340
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    • 1998
  • IUE 저 분산 관측자료를 가지고 W-UMa 형 별인 44i Boo의 자외선 광도곡선을 완성하였다. 채층과 전이영역으로부터 나오는 방출선의 변화를 알아보기 위해서 CI, CII, CIV, SiIV, Hell 선의 방출선 세기를 계산하였다. CIV 방출 선이 가장 강한 방출을 보였으며, CII, Hell, CI, SiV의 순서로 방출선의 세기가 관측되었음이 확인되었다. 또한 방출선의 세기가 주기적으로 변하고 있음을 확인하였고, 모든 방출 선들이 위상 0.2와 0.8부근에서 상대적으로 강한 방출 선을 보인다. 이는 44i Boo의 표면에서 채층 및 전이영역의 활동성으로 인해 자외선 방출이 불 균일하게 나오고 있음을 나타내는 것이라고 해석할 수 있다. 채층 활동의 변화로 인해 관측시간이 서로 다를 때 자외선 방출선의 변광 형태도 달라지고 있음을 확인하였다.

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

  • 허훈;정연태;이재성
    • 한국인쇄학회지
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    • 제19권2호
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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
    • 대한용접접합학회:학술대회논문집
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    • 대한용접접합학회 2002년도 Proceedings of the International Welding/Joining Conference-Korea
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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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    • 제19권3호
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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
    • 한국농업기계학회:학술대회논문집
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    • 한국농업기계학회 1996년도 International Conference on Agricultural Machinery Engineering Proceedings
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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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