• Title/Summary/Keyword: Symmetric condition

Search Result 279, Processing Time 0.025 seconds

On the Forced Vibration in the Nonlinear Symmetric Structure by Using the Normal Modes (정규모우드를 활용한 비선형 대칭구조물의 강제진동해석)

  • 박철희;최성철
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
    • /
    • 1994.10a
    • /
    • pp.21-28
    • /
    • 1994
  • The forced vibration with the symmetric boundary condition in nonlinear structure is studied by utilizing the characteristic of the free vibration which have two modes with the similar natural frequency. Two linear modes exist to have no concern with the amplitude. It is found that the normal mode or elliptic orbit as the newly coupled modes is generated in accordance with changing the stability. It is also known that responses for forced vibration having the small external force and damping are near mode of free vibration and the stability for each response is determined according to the stability for each response is determined according to the stability in mode of free vibration. Finally the stability and bifurcation are analyzed in proportion to increment of external force and damping.

  • PDF

Prediction of Effective Material Properties for Triaxially Braided Textile Composite

  • Geleta, Tsinuel N.;Woo, Kyeongsik;Lee, Bongho
    • International Journal of Aeronautical and Space Sciences
    • /
    • v.18 no.2
    • /
    • pp.222-235
    • /
    • 2017
  • In this study, finite element modeling was used to predict the material properties of tri-axially braided textile composite. The model was made based on an experimental test specimen which was also used to compare the final results. The full interlacing of tows was geometrically modelled, from which repeating parts that make up the whole braid called unit cells were identified based on the geometric and mechanical property periodicity. In order to simulate the repeating nature of the unit cell, periodic boundary conditions were applied. For validation of the method, a reference model was analyzed for which a very good agreement was obtained. Material property calculation was done by simulating uniaxial and pure shear tests on the unit cell. The comparison of these results with that of experimental test results showed an excellent agreement. Finally, parametric study on the effect of number of plies, stacking type (symmetric/anti-symmetric) and stacking phase shift was conducted.

ON FIXED POINTS ON COMPACT RIEMANN SURFACES

  • Gromadzki, Grzegorz
    • Bulletin of the Korean Mathematical Society
    • /
    • v.48 no.5
    • /
    • pp.1015-1021
    • /
    • 2011
  • A point of a Riemann surface X is said to be its fixed point if it is a fixed point of one of its nontrivial holomorphic automorphisms. We start this note by proving that the set Fix(X) of fixed points of Riemann surface X of genus g${\geq}$2 has at most 82(g-1) elements and this bound is attained just for X having a Hurwitz group of automorphisms, i.e., a group of order 84(g-1). The set of such points is invariant under the group of holomorphic automorphisms of X and we study the corresponding symmetric representation. We show that its algebraic type is an essential invariant of the topological type of the holomorphic action and we study its kernel, to find in particular some sufficient condition for its faithfulness.

Numerical Simulation of the Unsteady Flow Field Induced by a High-speed Train Passing through a Tunnel (터널을 통과하는 고속철도차량에 의해 형성되는 비정상 유동장의 수치해석)

  • 권혁빈;이동호;김문상
    • Journal of the Korean Society for Railway
    • /
    • v.3 no.4
    • /
    • pp.229-236
    • /
    • 2000
  • In this study, the unsteady flow field induced by a high-speed train passing through a tunnel is numerically simulated by using an axi-symmetric Euler Equation. The modified patched grid scheme applied to a structured grid system was used to handle the relative motion of a train. The hybrid-dimensional approach which mixed 1D and axi-symmetric dimension was used to reduce the computation time and memory storage. By employing the hybrid-dimensional approach, a long tunnel as much as 5 km was able to be simulated efficiently. The results show that the maximum pressure rise in the tunnel by the entrance of the train is a function of both train speed and train-tunnel cross-sectional area ratio. The unsteady pressure fluctuation in the tunnel and around the train was also investigated in the real condition; Korean high-speed train on the Seoul-Pusan line.

  • PDF

Optimal Design of Shield for Vacuum Interrupter using Evolution Strategy (진화 알고리즘을 이용한 진공 차단기의 쉴드 형상 최적 설계)

  • Joo, Hyun-Woo;Park, Seok-Weon;Kim, Young-Keun
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
    • /
    • 2010.06a
    • /
    • pp.127-127
    • /
    • 2010
  • This study describes the optimal design of shield to improve the insulation performance of vacuum interrupter(VI). Axi-symmetric finite element routine including floating boundary condition for shields was applied to analyze electric potential and field distribution in VI. A ($\mu-\lambda$) Evolution Strategy(ES) is employed as optimization method. Three design variables of shield are selected for minimizing the maximum electric field strength in VI. Finally, optimal solution for shield is obtained and compared with the result of the prototype.

  • PDF

Analysis of Cutoff Frequencies of TEM Cell using FDTD (FDTD를 이용한 TEM Cell의 차단주파수에 관한 분석)

  • 윤영설;공순철;윤재훈;김정기
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
    • /
    • v.10 no.1
    • /
    • pp.63-69
    • /
    • 1999
  • In this paper, we analyze the cutoff frequencies of the TEM Cells by the FDTD, and introduce new boundary condition for the FDTD to identify the modes. Then, we confirm efficiency of the FDTD comparing results in previous papers. We also give our opinion from the results by FDTD to the arguments, which is resulted from different results about cutoff frequencies in the TEM Cells, especially the symmetric TEM Cells.

  • PDF

Instability of High-Speed Impinging Jets(I) (고속 충돌제트의 불안정특성)

  • Gwon, Yeong-Pil
    • Transactions of the Korean Society of Mechanical Engineers B
    • /
    • v.22 no.4
    • /
    • pp.452-458
    • /
    • 1998
  • The objective of this study is to obtain the unstable characteristics of the high-speed two-dimensional jet impinging normally onto a flat plate. The study is based on the feedback model and the experiment of the frequency characteristics of the impinging tones. Using the experimental data for the tonal frequencies of the impinging tones the convection speed of the unstable jet is obtained along with all the other features. Three kinds of unstable modes are clarified: asymmetric $A_{1}$ and $A_{2}$ and symmetric S. The condition for the excitation of each mode is found in terms of Strouhal number and Reynolds number. The convection speed is estimated and discussed in comparison with existing theoretical models. It is found that the convection speed increases with frequency when the mode is asymmetric, but decreases when it is symmetric. In addition, the characteristics of the high-speed impinging jet are compared with the low-speed impinging jet.

Comparison of Time Implicit Symmetric Gauss-Seidel Iterative Schemes for Computation of Hypersonic Nonequilibrium Flow

  • Lee, Chang Ho;Park, Seung O
    • International Journal of Aeronautical and Space Sciences
    • /
    • v.2 no.1
    • /
    • pp.1-11
    • /
    • 2001
  • The time implicit point SGS scheme is applied to compute hypersonic viscous flows in thermochemical nonequilibrium. The performance of the point SGS scheme is then compared with those of the line SGS and the LU-SGS schemes. Comparison of convergence histories with the effect of multiple forward and backward sweeps are made for the flow over a 2D cylinder experimentally studied by Hornung and the flow over a hemisphere at conditions corresponding to the peak heating condition during the reentry flight of an SSTO vehicle. Results indicate that the point SGS scheme with multiple sweeps is as robust and efficient as the line SGS scheme. For the point SGS and the LU-SGS scheme, the rate of improvement in convergence is largest with two sweep cycles. However, for the line SGS scheme, it is found that more than one sweep cycle deteriorates the convergence rate.

  • PDF

HOMOTOPY TYPE OF A 2-CATEGORY

  • Song, Yongjin
    • Korean Journal of Mathematics
    • /
    • v.18 no.2
    • /
    • pp.175-183
    • /
    • 2010
  • The classical group completion theorem states that under a certain condition the homology of ${\Omega}BM$ is computed by inverting ${\pi}_0M$ in the homology of M. McDuff and Segal extended this theorem in terms of homology fibration. Recently, more general group completion theorem for simplicial spaces was developed. In this paper, we construct a symmetric monoidal 2-category ${\mathcal{A}}$. The 1-morphisms of ${\mathcal{A}}$ are generated by three atomic 2-dimensional CW-complexes and the set of 2-morphisms is given by the group of path components of the space of homotopy equivalences of 1-morphisms. The main part of the paper is to compute the homotopy type of the group completion of the classifying space of ${\mathcal{A}}$, which is shown to be homotopy equivalent to ${\mathbb{Z}}{\times}BAut^+_{\infty}$.

Fabrication and Characterization of Self-Aligned Recessed Channel SOI NMOSFEGs

  • Lee, Jong-Ho
    • Journal of Electrical Engineering and information Science
    • /
    • v.2 no.4
    • /
    • pp.106-110
    • /
    • 1997
  • A new SOI NMOSFET with a 'LOCOS-like' shape self-aligned polysilicon gate formed on the recessed channel region has been fabricated by a mix-and-match technology. For the first time, a new scheme for implementing self-alignment in both source/drain and gate structure in recessed channel device fabrication was tried. Symmetric source/drain doping profile was obtained and highly symmetric electrical characteristics were observed. Drain current measured from 0.3${\mu}{\textrm}{m}$ SOI devices with V\ulcorner of 0.77V and Tox=7.6nm is 360$mutextrm{A}$/${\mu}{\textrm}{m}$ at V\ulcorner\ulcorner=3.5V and V\ulcorner=2.5V. Improved breakdown characteristics were obtained and the BV\ulcorner\ulcorner\ulcorner(the drain voltage for 1 nA/${\mu}{\textrm}{m}$ of I\ulcorner at V=\ulcorner\ulcorner=0V) of the device with L\ulcorner\ulcorner=0.3${\mu}{\textrm}{m}$ under the floating body condition was as high as 3.7 V. Problems for the new scheme are also addressed and more advanced device structure based on the proposed scheme is proposed to solve the problems.

  • PDF