• Title/Summary/Keyword: Thin plate energy functional

Search Result 2, Processing Time 0.016 seconds

Variational surface design under normal field guidance

  • Wu, Weidong;Yang, Xunnian
    • Journal of Computational Design and Engineering
    • /
    • v.2 no.3
    • /
    • pp.129-136
    • /
    • 2015
  • This paper proposes a novel method for shape design of a Bezier surface with given boundary curves. The surface is defined as the minimizer of an extended membrane functional or an extended thin plate functional under the guidance of a specified normal field together with an initial prescribed surface. For given boundary curves and the guiding normal field, the free coefficients of a Bezier surface are obtained by solving a linear system. Unlike previous PDE based surface modeling techniques which construct surfaces just from boundaries, our proposed method can be used to generate smooth and fair surfaces that even follow a specified normal field. Several interesting examples are given to demonstrate the applications of the proposed method in geometric modeling.

Characterization of Yttrium Doped Zinc Oxide Thin Films Fabricated by Spin-coating Method (스핀코팅법에 의해 제조되어진 Yttrium이 도핑된 ZnO 막의 특성)

  • Kim Hyun-Ju;Lee Dong-Yun;Song Jae-Sung
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
    • /
    • v.19 no.5
    • /
    • pp.457-460
    • /
    • 2006
  • Y doped zinc oxide (YZO) thin films were deposited on F doped $SnO_2$ (FTO) glass substrate by sol-gel method using the spin-coating system. A homogeneous and stable solution was prepared by dissolving acetate in the solution added diethanolamine as sol-gel stabilizer. YZO films were obtained after preheated on the hot-plate for 5minute before each coating; the number of coating was 3 times. After the coating of last step, annealing of YZO films performed at $450^{\circ}C$ for 30 minute. In order to confirming of a ultraviolet ray interruption and down-conversion effects, optical properties of YZO films, transmission spectrum and fluorescent spectrum were used. Also, for understanding the obtained results by experiment, the elestronic state of YZO was calculated using the density functional theory The results obtained by experiment were compared with calculated structure. The detail of electronic structure was obtained by the discrete variational Xa (DV-Xa) method, which is a sort of molecular orbital full potential method. The density of state and energy levels of dopant element were shown and discussed in association with optical properties.