• Title/Summary/Keyword: mathieu

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A numerical method for dynamic characteristics of nonlocal porous metal-ceramic plates under periodic dynamic loads

  • Abdulrazzaq, Mohammed Abdulraoof;Kadhim, Zeyad D.;Faleh, Nadhim M.;Moustafa, Nader M.
    • Structural Monitoring and Maintenance
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    • v.7 no.1
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    • pp.27-42
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    • 2020
  • Dynamic stability of graded nonlocal nano-dimension plates on elastic substrate due to in-plane periodic loads has been researched via a novel 3- unknown plate theory based on exact position of neutral surface. Proposed theory confirms the shear deformation effects and contains lower field components in comparison to first order and refined 4- unknown plate theories. A modified power-law function has been utilized in order to express the porosity-dependent material coefficients. The equations of nanoplate have been represented in the context of Mathieu-Hill equations and Chebyshev-Ritz-Bolotin's approach has been performed to derive the stability boundaries. Detailed impacts of static/dynamic loading parameters, nonlocal constant, foundation parameters, material index and porosities on instability boundaries of graded nanoscale plates are researched.

The Current State, Outcome and Vision of Additive Manufacturing

  • Terner, Mathieu
    • Journal of Welding and Joining
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    • v.33 no.6
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    • pp.1-5
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    • 2015
  • Additive Manufacturing defines the fabrication of objects by successive consolidation of materials, layer by layer, according to a three-dimensional design. The numerous technologies available today were recently standardized into seven categories based on the general method. Each technology has its own set of advantages and limitations. Though it very much depends on the field of application, major assets of additive manufacturing compared to conventional processing routes are the ability to readily offer complexity (in terms of intricate shape and customization) and significant reduction of waste. On the other hand, additive manufacturing often suffers of relatively low production rates. Anyhow, additive manufacturing technologies is being given outstanding attention. In particular, metal additive manufacturing emerges as of great significance in industries like aerospace, automotive and tooling. The trend progresses toward full production of high value finished products.

OFDM Receiver for Fixed Satellite Channel

  • Thomas, Nathalie;Boucheret, Marie-Laure;Ho, Anh Tai;Dervin, Mathieu;Deplancq, Xavier
    • Journal of Communications and Networks
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    • v.12 no.6
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    • pp.533-543
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    • 2010
  • This paper proposes an orthogonal frequency division multiplexing (OFDM) waveform for the forward link of a fixed broadband satellite system. We focus on the synchronization tasks in the receiver. Our objective is to minimize the required overhead, in order to improve the spectral efficiency with regard to a single carrier waveform system. A non pilot aided algorithm is used for fine synchronization. It is preceded by a coarse synchronization stage, which relies on a limited overhead (short cyclic prefix associated to some pilots). The performance of the proposed receiver is assessed through simulation results.

Current Collection of Catenary System with Time-Varying Stiffness (시변강성 가선계의 집전성능)

  • 최연선
    • Journal of the Korean Society for Railway
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    • v.3 no.3
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    • pp.131-138
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    • 2000
  • The design of current collection system of high speed train requires the fundamental understandings for the dynamic characteristics of catenary system and pantograph. The stiffness of catenary system of high speed train has the varying characteristics for the change of contact point with pantograph, since the supporting pole and hanger make the different boundary conditions for the up-down stiffness of a trolley wire. The variation of stiffness results in Mathiue equation, which characterizes the stability of the system. However, the two-term variation of the stiffness due to span length and hanger distance cannot be solved analytically. In this paper, the stiffness variations are calculated and the physical reasoning of linear model and one term Mathieu equation are reviewed. And the numerical analysis for the two-term variation of the stiffness is done for the several design parameters of pantograph.

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Effect of a Concentrated Mass on the Dynamic Stability of Spinning Free-Free Beam Subjected to a Thrust (회전하는 양단자유보의 동적 안정성에 대한 추력과 집중질량의 영향에 관한 연구)

  • Yoon, Seung-Joon;Kim, Ji-Hwan
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2000.06a
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    • pp.695-700
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    • 2000
  • The dynamic stability of spinning beam with free boundary conditions for both edges subjected to a tip follower force $P_0+P_1cos{\Omega}t$ is analyzed. It is studied that the beam has a concentrated mass. and then the effects of the axial locations of the mass are studied. The beam is modelled with the Timoshenko type shear deformations. The Hamilton's principle is used to derive the equations of motion, and the critical spinning speed of a beam subjected to a follower force with various non-dimensional parameters is investigated. The finite elements are used with $C^0$ continuity to analyze the spinning beam model, and the method of multiple scales is tried to investigate the dynamic instability regions. The governing equations of motion involve periodic coefficients, which are not in the form of standard Mathieu-Hill equations. The result shows that the concentrated mass increases the dynamic stability of the spinning free-free beam subjected to a thrust.

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The dynamic instability of FG orthotropic conical shells within the SDT

  • Sofiyev, Abdullah H.;Zerin, Zihni;Allahverdiev, Bilender P.;Hui, David;Turan, Ferruh;Erdem, Hakan
    • Steel and Composite Structures
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    • v.25 no.5
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    • pp.581-591
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    • 2017
  • The dynamic instability of truncated conical shells subjected to dynamic axial load within first order shear deformation theory (FSDT) is examined. The conical shell is made from functionally graded (FG) orthotropic material. In the formulation of problem a dynamic version of Donnell's shell theory is used. The equations are converted to a Mathieu-Hill type differential equation employing Galerkin's method. The boundaries of main instability zones are found applying the method proposed by Bolotin. To verify these results, the results of other studies in the literature were compared. The influences of material gradient, orthotropy, as well as changing the geometric dimensions on the borders of the main areas of the instability are investigated.

Nonlinear Oscillation Characteristics in Combination Resonance Region Considering Damping Effects (조합공진 영역에서 감쇠의 영향을 고려한 비선형 진동 응답 특성)

  • Jeong, Tae-Gun
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.20 no.9
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    • pp.849-855
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    • 2010
  • Damping may change the response characteristics of nonlinear oscillations due to the parametric excitation of a thin cantilever beam. When the natural frequencies of the first bending and torsional modes are of the same order of magnitude, we can observe the one-to-one combination resonance in the perturbation analysis depending on the characteristic parameters. The nonlinear behavior about the combination resonance reveals a chaotic motion depending on the natural frequencies and damping ratio. We can analyze the chaotic dynamics by using the eigenvalue analysis of the perturbed components. In this paper, we derived the equations for autonomous system and solved them to obtain the characteristic equation. The stability analysis was carried out by examining the eigenvalues. Numerical integration gave the physical behavior of each mode for given parameters.

Manufacturing Mobile Displays & Systems on Glass (

  • Nobari, Ali Reza;Mourgue, Stephane;Clube, Francis;Jorda, Mathieu;Iriguchi, Chiharu;Inoue, Satoshi;Grass, Elmar;Mayer, Herbert
    • 한국정보디스플레이학회:학술대회논문집
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    • 2005.07a
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    • pp.676-678
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    • 2005
  • Future Mobile displays and the emerging systems on Glass for the upcoming TFT_LCDs or Active-OLEDs based on LTPS, and the exciting c-Si critically require very-high resolution lithography. We report the methodology and latest results on the alignment, magnification control and stitching systems on a HMA500 holographic mask aligner for printing $0.5{\mu}m-resolution$ display patterns onto glass substrates of dimensions up to $500mm{\times}400mm$.

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A Study on the Dynamic Stability of the Long Vertical Beam Subjected to the Parametric Excitation (파라메터 기진에 의한 긴수직보의 동적안정성에 관한 연구)

  • Y.C. Kim;J.S. Hong
    • Journal of the Society of Naval Architects of Korea
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    • v.28 no.1
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    • pp.69-82
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    • 1991
  • The dynamic stability of the long vertical beam subjected to the periodic axial load is investigated. As a solution method, the Galerkin's method is used to obtain a set of coupled Mathieu type equations. To obtain the stability chart, both the perturbation method and numerical method are used, and the results of the both methods are compared with each other. The stability regions for the various boundary conditions are obtained, Also the effects of the viscous damping, the mean tension and the multi-frequency parametric excitation are studied in detail.

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Time-varying Stiffness of Catenary System and its Effect on Current Collection by Pantograph (가선계의 강성변화와 판토그래프의 집전성능)

  • 최연선
    • Proceedings of the KSR Conference
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    • 2000.05a
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    • pp.598-605
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    • 2000
  • The design of a current collection system of high speed train requires the fundamental understandings fer the dynamic characteristics of a catenary system and pantograph. The stiffness of the catenary system of high speed train has the varying characteristics for the change of the contact point with a pantograph, since the supporting pole and hanger make the different boundary conditions for the updown stiffness of a trolley wire. The variation of stiffness results in Mathiue equation, which characterizes the stability of the system. However, the two terms variation of the stiffness due to span length and hanger distance cannot be solved analytically. In this paper, the stiffness variations are calculated, and the physical reasoning of linear model and one term Mathieu equation are reviewed. And the numerical analysis for the two term variation of the stiffness is done for the several design parameters of the pantograph.

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