• Title/Summary/Keyword: center manifold reduction.

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A study on the nonlinear normal modes of rotors (회전체의 비선형 정규 모우드에 관한 연구)

  • 김용철
    • Journal of Ocean Engineering and Technology
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    • v.10 no.1
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    • pp.17-24
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    • 1996
  • In the present paper nonlinear normal modes of a rotor system is studied. The methodology to obtain the nonlinear normal modes is based on center manifold reduction technique. It also provides a way of nonlinear coordinate transform from the physical cordinates to the modal coordinates and an idea of individual nonlinear modal dynamics. In order to apply the present method to a rotor dynamics a single mass rotor system on nonlinear elastic supports is employed and the nonlinear normal modes of the system are obtained.

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DYNAMICAL BIFURCATION OF THE ONE-DIMENSIONAL CONVECTIVE CAHN-HILLIARD EQUATION

  • Choi, Yuncherl
    • Korean Journal of Mathematics
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    • v.22 no.4
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    • pp.621-632
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    • 2014
  • In this paper, we study the dynamical behavior of the one-dimensional convective Cahn-Hilliard equation(CCHE) on a periodic cell [$-{\pi},{\pi}$]. We prove that as the control parameter passes through the critical number, the CCHE bifurcates from the trivial solution to an attractor. We describe the bifurcated attractor in detail which gives the final patterns of solutions near the trivial solution.

PM Reduction Characteristics of Partial Metal DPF with Screen Mesh Filter Structure (스크린 필터 구조 Partial Metal DPF의 PM 저감 특성)

  • Kim, Chunghui;Kim, Hyunchul;Lee, Geesoo;Choi, Jeonghwang;Chon, Munsoo;Shin, Suk Shin;Suh, Hyun Kyu
    • Transactions of the Korean Society of Automotive Engineers
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    • v.21 no.3
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    • pp.82-87
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    • 2013
  • In this work, the 1L grade integrated metal DOC/DPF filter that can install in engine manifold position was developed to investigate the effect of platinum-coating amount of filter on the improvement of filter activation temperature and reduction of particulate matter (PM). This filter was installed in 2.9L CI engine which meets the EURO-4 emission regulation. Tests for PM reduction efficiency of filter were conducted under ND-13 mode with full-load test condition. It was revealed that the time to reach the activation temperature of metal filter ($280^{\circ}C$) was shorter as the amount of platinum-coating increased. This short activation time can be helpful for the reduction of CO and HC emissions during cold start condition. At the same time, PM reduced as the coating amount increased. The reduction percentage of $DOC_{40}$, $DOC_{20}$, and $DOC_0$ were 96.7% (2.34 mg/kW'h), 95.1% (3.47 mg/kW'h), and 94.5% (3.69 mg/kW'h) compared to previous result (71.4 mg/kW'h), respectively.

Network Parameters of 6-Pole Dual-Mode Singly Terminated Elliptic Function Filter (6차 단일종단 이중모드 타원응답 필터의 회로망 파라미터 추출에 관한 연구)

  • Lee, Juseop;Uhm, Man-Seok;Yom, In-Bok;Lee, Seong-Pal
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.28 no.7A
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    • pp.557-562
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    • 2003
  • An output multiplexer of manifold type is widely used in a recent satellite transponder for its mass and volume reduction. For correct operation, the filters of such a multiplexer must be singly terminated. In this paper, a simple synthesis method of a 6-pole dual-mode singly-terminated filter is described. From the transfer function of the filter, network parameters such as in/output terminations and coupling coefficients are obtained easily without complicated matrix algebra such as orthogonal projection and similarity transformation. Two different-structure filters are taken into consideration and the network parameters of each filter have been extracted from the same transfer function. It is shown that the responses of two filters are same to each other since their network parameters are obtained from the same transfer function. The method described in this paper can be applied to the other degree singly terminated filter.

STABILITY AND BIFURCATION ANALYSIS FOR A TWO-COMPETITOR/ONE-PREY SYSTEM WITH TWO DELAYS

  • Cui, Guo-Hu;Yany, Xiang-Ping
    • Journal of the Korean Mathematical Society
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    • v.48 no.6
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    • pp.1225-1248
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    • 2011
  • The present paper is concerned with a two-competitor/oneprey population system with Holling type-II functional response and two discrete delays. By linearizing the system at the positive equilibrium and analyzing the associated characteristic equation, the asymptotic stability of the positive equilibrium and existence of local Hopf bifurcations are investigated. Particularly, by applying the normal form theory and the center manifold reduction for functional differential equations (FDEs) explicit formulae determining the direction of bifurcations and the stability of bifurcating periodic solutions are derived. Finally, to verify our theoretical predictions, some numerical simulations are also included at the end of this paper.

A Study of the Reduction of Diesel-Engine Emissions for Off-Road Vehicles (비도로 차량용 디젤엔진의 배기가스 저감에 관한 연구)

  • Cho, Gyu-Baek;Kim, Hong-Suk;Kang, Jeong-Ho
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.35 no.6
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    • pp.577-583
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    • 2011
  • To meet the requirements of the Tier 4 interim regulations for off-road vehicles, emissions of particulate matter (PM) and nitrogen oxides (NOx) must be reduced by 95% and 30%, respectively, compared to current regulations. In this research, both the DPF and HPL EGR systems were investigated, with the aim of decreasing the PM and NOx emissions of a 56-kW off-road vehicle. The results of the experiments show that the DOC-DPF system is very useful for reducing PM emissions. It is also found that the back pressure is acceptable, and the rate of power loss is less than 5%. By applying the HPL EGR system to the diesel engine, the NOx emissions under low- and middle-load conditions are reduced effectively because of the high differential pressure between the turbocharger inlet and the intake manifold. The NOx emissions can be decreased by increasing the EGR rate, but total hydrocarbon (THC) emission increases because of the increased fuel consumption needed to compensate for the power loss caused by EGR and DPF.