• Title/Summary/Keyword: Phase Plane

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A study of the nonlinear dynamic instability of hybrid cable dome structures

  • Kim, Seung-Deog;Kim, Hyung-Seok;Kang, Moon-Myung
    • Structural Engineering and Mechanics
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    • v.15 no.6
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    • pp.653-668
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    • 2003
  • Many papers which deal with the dynamic instability of shell-like structures under the STEP load have been published. But, there have been few papers related to the dynamic instability of hybrid cable domes. In this study, the dynamic instability of hybrid cable domes considering geometric nonlinearity is investigated by a numerical method. The characteristic structural behaviour of a cable dome shows a strong nonlinearity, so we determine the shape of a cable dome by applying initial stress and examine the indirect buckling mechanism under dynamic external forces. The dynamic critical loads are determined by the numerical integration of the nonlinear equation of motion, and the indirect buckling is examined by using the phase plane to investigate the occurrence of chaos.

Dynamic Stability Analysis of A Vehicle in Limit Driving for Crash Avoidance (충돌회피를 위한 극한 운전시 자동차의 동적안정성 해석)

  • Kim, S.P.;Baek, W.K.
    • Journal of Power System Engineering
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    • v.1 no.1
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    • pp.106-123
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    • 1997
  • In this study, vehicle directional stability is investigated for limit driving for crash avoidance maneuver using a full vehicle dynamic model. The model was analytically validated using typical step steering and lane change simulation. Limit driving condition for the vehicle model was quoted from research results of references. It was demonstrated that instable vehicle motion was caused by not only road conditions but also driving conditions. Also, the simulation showed that braking combined with steering caused very hazardous situation in crash avoidance maneuver. Finally, phase plane plot approach was used to evaluate the dynamic instability.

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A simple plane-strain solution for functionally graded multilayered isotropic cylinders

  • Pan, E.;Roy, A.K.
    • Structural Engineering and Mechanics
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    • v.24 no.6
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    • pp.727-740
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    • 2006
  • A simple plane-strain solution is derived in this paper for the functionally graded multilayered isotropic elastic cylinder under static deformation. The solution is obtained using method of separation of variables and is expressed in terms of the summation of the Fourier series in the circumferential direction. While the solution for order n = 0 corresponds to the axisymmetric deformation, that for n = 2 includes the special deformation frequently utilized in the upper and lower bounds analysis. Numerical results for a three-phase cylinder with a middle functionally graded layer are presented for both axisymmetric (n = 0) and general (n = 2) deformations, under either the traction or displacement boundary conditions on the surface of the layered cylinder. The solution to the general deformation case (n = 2) is further utilized for the first time to find the upper and lower bounds of the effective shear modulus of the layered cylinder with a functionally graded middle layer. These results could be useful in the future study of cylindrical composites where FGMs and/or multilayers are involved.

A Change and Prediction of Biaxial Fatigue Life of Cast Duplex Stainless Steels by Degradation (2상 주조 스테인리스강의 열화로 인한 2축 피로수명의 변화와 예측)

  • Kwon, Jae-Do;Park, Joong-Cheul
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.4
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    • pp.410-418
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    • 2004
  • The multiaxial fatigue test under in-phase and out-of$.$phase load were performed to study what degradation phenomenon affects fatigue life with virgin and 3600 hrs degraded materials. The various kind of fatigue data fur fatigue life prediction were acquired under pure axial and pure torsional load of fully reversal condition. The models which was investigated are: 1) the von Mises equivalent strain range, 2) the critical shear plane approach method of Fatemi-Socie(FS) parameter, 3) the modified Smith-Watson-Topper(SWT) parameter. The result showed that, fatigue life by material degradation are decreased and life prediction which was used the FS parameter is not conservative but the best result.

Wave Phase Shift of a Submerged Circular Cylinder

  • Hang-Shoon,Choi
    • Bulletin of the Society of Naval Architects of Korea
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    • v.17 no.1
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    • pp.31-37
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    • 1980
  • Herein the flow past a submerged circular cylinder with a free surface is mapped onto a reference plane, in which the free surface is transformed to a straight line and the cylinder to a certain shape. A global mapping function between two planes is sought in a manner that linear free-surface elevation is generated in the physical plane. Hereby the Froude mumber $F_h$, based on the submergence depth h', is assumed to be of order 0(1) and the ratio a'/h'(a'=cylinder radius) of order o(1). Wave thus obtained are slightly different in magnitude and phase from usual linear solution. The resulting free wave starts advanced ahead compared to the classical result and its amount depends on Froude number. Based on the present concept wave forces are calculated. In this type of approach the body boundary condition gives more influence on wave resistance than that by the free surface in the speed range $F_h>1$.

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Reduction of Reaching Time on Phase Plane in Variable Structure Control System (가변구조 제어시스템에 있어서 위상면상에의 도달시간 감소)

  • 이주장;황동환
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.39 no.1
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    • pp.51-59
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    • 1990
  • In this paper, a new variable structure control algorithm is proposed to reduce the reaching time on a phase plane. In the new method, a term proportional to the magnitude of the switching variables is added to the Morgan and Ozguners algorithm. When this algorithm is applied to second order systems the simulation results show that the new approach of the control algorithm is more effective than morgan's algorithm.

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Theoretical Studies of Solvent Effects on Gas Phase Reactions of Methoxide Ion with Substituted Ethylenes$^\dag$

  • Lee, Ik-Choon;Lee, Bon-Su;Won Jong-Ok
    • Bulletin of the Korean Chemical Society
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    • v.8 no.6
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    • pp.444-449
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    • 1987
  • Solvent effects on gas phase reactions of methoxide ion with substituted ethylenes, $CH_2$ = CHR where R = CN, CHO and $NO_2$, are investigated theoretically using the AM1 method. Results show that the methoxide approaches in-plane in all reactions, but subsequently rotate out-of-plane to form tetrahedral complexes in additon reactions. All reactions of a bare methoxide are found to be exothermic, the exothermicity being the greatest in the ${\beta}$-addition, in which the excess energy is forced to be contained within the ${\beta}$-adduct rendering extreme instability. However a part of the excess energy can be removed by a solvate molecule giving a stable complex prior to the product formation. The hydride transfer processes were found to be unfavorable due to the high activation barriers. The ${\alpha}-H^+$ abstraction process from acrylonitrile becomes endothermic as a result of monosolvation of the methoxide, in agreement with experimental results.

Wavelet Transform Image Compression Using Shuffling and Correlation (Shuffling 및 상관도를 이용한 웨이블릿 영상 압축)

  • 김승종;민병석;정제창
    • Proceedings of the IEEK Conference
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    • 1999.11a
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    • pp.609-612
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    • 1999
  • In this paper, we propose wavelet transform image compression method such that an image is decomposed into multiresolutions using biorthogonal wavelet transform with linear phase response property and decomposed subbands are classified by maximum classification gain. The classified data is quantized by allocating bits in accordance with classified class informations within subbands through arbitrary set bit allocation algorithm. And then, quantized data in each subband are entropy coded. The proposed coding method is that the quantized data perform shuffling before entropy coding in order to remove sign bit plane. And the context is assigned by maximum correlation direction for bit plane coding.

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The Growth of Defects $ZnWO_4$ Single Crystals ($ZnWO_4$ 단결정 성장과 결함)

  • 조병곤;오근호
    • Journal of the Korean Ceramic Society
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    • v.27 no.4
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    • pp.447-456
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    • 1990
  • ZnWO4 single crystals were grown by Czochralski method. And the orientation of grown crystals were determined by Laue back reflection, and the crystals were siliced at (100), (010), (001) face before polishing. The morphologys and distribution of etch pits on each face were observed by optical microscopy. In the present study, we understood that dislocation distributjioon rely on shape of solid-liquid interface, and secondary phase acts on the dislocation source. We also observed dislocation trace(etch pits) of (100) slip plane on (010) cleavage plane.

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Multi-step growth of a-plane GaN epitaxial layer on r-plane sapphire substrate by HVPE method (HVPE를 이용하여 r-plane 사파이어 위에 multi-step으로 성장시킨 a-plane GaN 에피층의 특성 연구)

  • Lee, Won-Jun;Park, Mi-Seon;Jang, Yeon-Suk;Lee, Won-Jae;Ha, Ju-Hyung;Choi, Young-Jun;Lee, Hae-Yong;Kim, Hong-Seung
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.26 no.3
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    • pp.89-94
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    • 2016
  • In this study, the crystalline property of a-plane GaN epitaxial layer grown on r-plane sapphire by a HVPE method has been investigated according to the V/III ratio and the growth time of multi-step growth. Furthermore, these results were compared with the previous result obtained from the single-step growth of a-plane GaN on r-plane sapphire substrate. In the multi-step growth for a-plane GaN epitaxial layer on r-plane sapphire, the FWHM values of rocking curve in GaN epitaxial layer were decreased as the HCl source flow rate and the growth time were increased. The void formed in epitaxial layer was continuously decreased as the growth time in first step and second step using a higher HCl flow rate was increased. As a result, the GaN layer obtained with the longest growth time on the first step and second step exhibited the lowest FWHM values of 584 arcsec and the smallest dependence of azimuth angle.