• Title/Summary/Keyword: Rayleigh problem

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Dynamic Analysis of a Rigid Body Traveling on the Rotating Shaft (회전축을 따라 이동하는 강체의 동해석)

  • Park, Yong-Suk;Hong, Sung-Chul
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.11 no.2
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    • pp.435-442
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    • 2010
  • The analysis of rigid body traveling along the rotating Timoshenko shaft has been a topic of interest. The problem arose from the observations that as a structure is subjected to moving loads, dynamic deflection as well as stresses can be significantly higher than those for static loads. The establishment of analytical method for the development and maintenance of performance is required in the fields of the machining operations and the position control using ball screw. The equations of motion for the rotating shaft subjected to the two moving forces are derived by using Hamilton's principle. Influence of system parameters such as the speed ratio, the mass ratio and the Rayleigh coefficient is discussed on the response of the moving system.

Numerical Simulation of Free Surface Flows Using the Roe's Flux-difference Splitting Scheme (Roe의 Flux-difference Splitting 기법을 이용한 자유표면 유동 모사)

  • Shin, Sang-Mook;Kim, In-Chul;Kim, Yong-Jig
    • Journal of the Society of Naval Architects of Korea
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    • v.47 no.1
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    • pp.11-19
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    • 2010
  • A code is developed to simulate incompressible free surface flows using the Roe's flux-difference splitting scheme. An interface of two fluids is considered as a moving contact discontinuity. The continuities of pressure and normal velocity across the interface are enforced by the conservation law in the integral sense. The fluxes are computed using the Roe's flux-difference splitting scheme for two incompressible fluids. The interface can be identified based on the computed density distribution. However, no additional treatment is required along the interface during the whole computations. Complicated time evolution of the interface including topological change can be captured without any difficulties. The developed code is applied to simulate the Rayleigh-Taylor instability of two incompressible fluids in the density ratio of 7.2:1 and the broken dam problem of water-air. The present results are compared with other available results and good agreements are achieved for the both cases.

Two-dimensional $O_2$ and OH Density Measurement Using Tunable KrF Excimer Laser Light a Combustion Bomb via Planar Laser Induced Predissociative Fluorescence and Laser Rayleigh Scattering (평면 선해리 레이저유도 형광법과 레이래이 분산법을 이용한 연소실내의 OH 및 $O_2$의 2차원적 농도측정)

  • 김경수
    • Transactions of the Korean Society of Automotive Engineers
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    • v.2 no.4
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    • pp.91-99
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    • 1994
  • Tunable KrF Excimer Laser is used here for measuring OH and $O_2$ density distribustion in an open $H_2$/air premixed flame and in a combustion bomb. Laser Rayleigh Scattering(LRS) and Planar Laser Induced Predissociative Fluorescence(PLIPF) methods are used to obtain two-dimensional images of total and specific densities. Laser Excitation wavelengths are calibrated via flame images and combustion bomb images show good qualitative a greement with theoretical calculation. Furthermore images in a combustion bomb can be developed to study real Spark-Ignition engine combustions. Our experimental images show that there are no more collisional quenching problem at high pressure environment(including atmospheric pressure) using predissociative fluorescence technique. Further development to obtain two-dimensional temperature dustribution is ready to use eventhough it is not reported in this paper.

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A study on surface wave dispersion due to the effect of soft layer in layered media

  • Roy, Narayan;Jakka, Ravi S.;Wason, H.R.
    • Geomechanics and Engineering
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    • v.13 no.5
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    • pp.775-791
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    • 2017
  • Surface wave techniques are widely used as non-invasive method for geotechnical site characterization. Field surface wave data are collected and analyzed using different processing techniques to generate the dispersion curves, which are further used to extract the shear wave velocity profile by inverse problem solution. Characteristics of a dispersion curve depend on the subsurface layering information of a vertically heterogeneous medium. Sometimes soft layer can be found between two stiff layers in the vertically heterogeneous media, and it can affect the wave propagation dramatically. Now most of the surface wave techniques use the fundamental mode Rayleigh wave propagation during the inversion, but this may not be the actual scenario when a soft layer is present in a vertically layered medium. This paper presents a detailed and comprehensive study using finite element method to examine the effect of soft layers which sometimes get trapped between two high velocity layers. Determination of the presence of a soft layer is quite important for proper mechanical characterization of a soil deposit. Present analysis shows that the thickness and position of the trapped soft layer highly influence the dispersion of Rayleigh waves while the higher modes also contribute in the resulting wave propagation.

Internal modals interactions analysis in terms of AFG nanorods based on Rayleigh model of nonlinear nonlocal axial behaviour

  • Somaye Jamali Shakhlavi;Shahrokh Hosseini Hashemi;Reza Nazemnezhad
    • Steel and Composite Structures
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    • v.52 no.5
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    • pp.557-569
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    • 2024
  • Nonlinear internal modals interactions analysis of axially functionally graded nanorods is evaluated on the basis of nonlocal elasticity theory and Rayleigh beam model for the first time. Functionally graded materials can be determined as nonhomogeneous composites which are obtained by combining of two various materials in order to get a new ideal material. In this research, material properties of nanorods are supposed to be calmly varied along the axial direction. Hamilton's principle is used to derive the equations with consideration of Von-Kármán's geometrically nonlinearity. Harmonic Differential Quadrature (HDQ) and Multiple Scale (MS) solution techniques are used to derive an approximate-analytic solution to the linear and nonlinear free axial vibration problem of non-classical nanorods for clamped-clamped and clamped-free boundary conditions. A parametric study is carried out to indicate the effects of index of AFG, aspect ratio, mode number, internal resonances and nonlinear amplitude on nonlinear nonlocal frequencies of axially functionally graded nanorods. Also, the effects of nonlocal and nonlinear coefficients and AFG index on relationships of internal resonances have been investigated. The presented theatrical-semi analytical model has the ability to predict very suitable results for extracting the internal modal interactions in the AFG nanorod.

A Manpower Distribution Model for Software Development Cycle (소프트웨어 개발주기 인력분포 모델)

  • 박석규;박중양;박재홍
    • Journal of the Korea Computer Industry Society
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    • v.5 no.1
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    • pp.9-18
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    • 2004
  • Successful project planning relies on a good estimation of the manpower required to complete a project in addition to the schedule options that may be available. Existing software manpower estimation models present the total manpower and instantaneous manpower distribution for the software life cycle. Putnam's Rayleigh and Phillai et al.'s Gamma models present a model with assumption that the manpower is needed at the system delivery. This means that 40 percent of total manpower is applied at the software development, and the other 60% is applied during maintenance phase. However Warburton observes the manpower is needed during development phase with the peak at the completion of the software design phase. So, the existing models were not appropriate to be applied to practical projects. This paper suggests the Sigmoid model which does not consider the point of manpower peak to fix the problem above. The suggested model showed some improvement when practical data was applied. Therefore, the Sigmoid model can be used as alternative of Rayleigh and Gamma model to estimate distribution of manpower during software development phas.

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Analysis of Smart Antenna Performance Improving the Robustness of OFDM to Rayleigh Fading (레일리 페이딩 내구성을 개선시키는 OFDM 스마트안테나의 성능 분석)

  • Hong, Young-Jin
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.48 no.4
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    • pp.53-60
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    • 2011
  • In order to augment the robustness of OFDM system to Rayleigh multipath fading, there exist two smart antenna algorithms, namely, Pre-FFT smart antenna and Post-FFT smart antenna. After the mathematical modeling of both smart antenna algorithms, computer simulations have been carried to compare and analyze the performance of generalized eigen problem based Pre-FFT algorithm and the performance of Wiener solution based Post-FFT algorithm. It has been shown that the Post-FFT smart antenna far outperforms the Pre-FFT smart antenna due to the computational complexities. Especially it is so when the multipath signal arrives at beyond the guard interval and a rich co-channel interferer is introduced. Performance of a subcarrier clustering method proposed to lessen the computing load has been compared to that of a typical Wiener solution based Post-FFT smart antenna. Performance comparison between MRC(Maximum Ratio Combining) diversity based Post-FFT algorithm and typical Post-FFT algorithm has also been carried.

Buckling of cylindrical shells with internal ring supports

  • Wang, C.M.;Tian, J.;Swaddiwudhipong, S.
    • Structural Engineering and Mechanics
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    • v.2 no.4
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    • pp.369-381
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    • 1994
  • This paper is concerned with the elastic buckling of cylindrical shells with internal rigid ring supports. The internal supports impose a zero lateral deflection constraint on the buckling modes at their locations. An automated Rayleigh-Ritz method is presented for solving this buckling problem. The method can handle any combination of end conditions and any number of internal supports. Moreover, it is simple to code and can yield very accurate solutions. New buckling results for cylindrical shells with a single internal ring support, and under lateral pressure and hydrostatic pressure, are given in the form of design charts. These results should be valuable to engineering designers.

Natural Convection Induced by g-jitter in an Enclosure under Null Gravity (무중력 상태하의 밀폐 용기 내에서 g-jitter에 의한 자연 대류)

  • Kim, Ki-Hyun;Hyun, Jae-Min;Kwak, Ho-Sang
    • Proceedings of the KSME Conference
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    • 2001.06d
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    • pp.522-527
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    • 2001
  • Comprehensive numerical computations are made of side-heated squire cavity which is exposed to zero mean g-jitter. Numerical solutions are acquires to the governing two-dimensional Navier-Stokes equations for a Boussinesq fluid. When the system is exposed to pure sinusoidal g-jitter inclined to the vertical axis, in spite of zero mean gravity there exist non zero net flow fields [8]. The resonance phenomenon are observed in moderate Rayleigh number. And, by comprehensive numerical work, unlike[5], it is found that they are related with the overshoot phenomenon of the sudden gravity up problem.

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Timoshenko theory effect on the vibration of axially functionally graded cantilever beams carrying concentrated masses

  • Rossit, Carlos A.;Bambill, Diana V.;Gilardi, Gonzalo J.
    • Structural Engineering and Mechanics
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    • v.66 no.6
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    • pp.703-711
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    • 2018
  • In this paper is studied the effect of considering the theory of Timoshenko in the vibration of AFG beams that support ground masses. As it is known, Timoshenko theory takes into account the shear deformation and the rotational inertia, provides more accurate results in the general study of beams and is mandatory in the case of high frequencies or non-slender beams. The Rayleigh-Ritz Method is employed to obtain approximated solutions of the problem. The accuracy of the procedure is verified through results available in the literature that can be represented by the model under study. The incidence of the Timoshenko theory is analyzed for different cases of beam slenderness, variation of its cross section and compositions of its constituent material, as well as different amounts and positions of the attached masses.