• Title/Summary/Keyword: free motion

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Experimental Study of Close-Contact Melting of Phase-Change Medium Partially Filled in a Horizontal Cylinder (수평원관내 부분적으로 채원진 상변화물질의 융해과정)

  • 서정세;노승탁
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.9
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    • pp.2249-2260
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    • 1995
  • An experiment of close contact melting of phase-change medium partially filled in an isothermally heated horizontal cylinder is performed which involves the volume expansion of liquid induced by the solid-liquid density difference. The solid-liquid interface motion and the free surface behavior of liquid were reported photographically. The experimental results show that the curvature of upper solid-liquid interface varied to flat as melting progresses. In addition to the varying interface shape, the melting rate increases with the lower initial height of solid and the free surface height of liquid increases linearly. The experimental results of molten mass fraction were expressed in a function of dimensionless time Fo.Ste$^{3}$4/ and agreed well with the analytical solutions.

Flow Analysis of Two-Dimensional Floating Body with Moon Pool Using a Numerical Wave Tank (수치 파동 수조를 이용한 부유체의 문풀 (Moon Pool) 유동해석)

  • Koo, Weon-Cheol;Lee, Kyoung-Rok
    • Journal of the Society of Naval Architects of Korea
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    • v.48 no.2
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    • pp.107-112
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    • 2011
  • The aim of this study is to analyze the hydrodynamic properties of a 2D floating body with moon pool using a 2D fully nonlinear Numerical Wave Tank(NWT). This NWT was developed based on the Boundary Element Method(BEM) with potential theory and fully nonlinear free surface boundary conditions. Free surface elevations in the moon pool were calculated in the time domain for various frequencies of forced body motions. The added-mass and damping coefficients of the heaving body were also obtained. The present numerical results were compared with the analytic and experimental results and their accuracy was verified.

Free Vibrations and Buckling Loads of Stepped Columns (Step 기둥의 자유진동 및 좌굴하중)

  • ;Oh, Sang Jin
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.38 no.6
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    • pp.42-50
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    • 1996
  • 이 논문은 step기둥의 자유진동 및 좌굴하중에 관한 연구이다. 축하중을 받는 변단면 기둥의 자유진동을 지배하는 편미분방정식을 이용하여 축하중을 받는 step기둥의 자유진동을 지배하는 상미분방정식을 유도하였다. 또한 이 자유진동을 지배하는 미분방정식을 이용하여 step기둥의 좌굴하중을 지배하는 상미분방정식을 유도하였다. 유도된 미분방정식들을 Heun방법과 Regula-Falsi방법을 이용하여 고유진동수 및 좌굴하중을 산출할 수 있는 수치해석방법을 개발하였다. 실제 수치해석 예에서는 2개의 step구간을 갖는 회전-회전, 회전-고정, 고정-고정 기둥에 대한 무차원 고유진동수화 무차원변수들과의 관계 및 무차원 좌굴하중과 무차원 변수들과의 관계를 그림에 나타내었다.

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Numerical Modeling of Short-Time Scale Nonlinear Water Waves Generated by Large Vertical Motions of Non-Wallsided Bodies (Non-Wallsided 물체의 연직운동에 의해 발생된 파의 비선형 해석을 위한 수치해석 모형의 연구)

  • Park, Jong-Hwan;;Troesch, Armin W.
    • Journal of Ocean Engineering and Technology
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    • v.7 no.1
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    • pp.33-55
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    • 1993
  • 선수충격파의 문제를 푸는데 있어서 Boundary Integral Method(BIM)의 여러가지 수치 해석방법이 검토되었으며, 특히 여러가지 Time stepping scheme, Green function, far-field 조건등에 따른 수치해석안정성과 정확성의 상관관계가 연구되었다. von Neumann 안정성해석과 matrix 안정성해석 등을 이용한 선형 안정성해석을 기초로하여, 수치해석방법의 안정성 여부를 체계적으로 조사할 수 있는 parameter(Free Surface Stability number)를 설정하고, 이 parameter의 변화에 따른 비선형 운동해석을 연구하였다. 그 결과 비선형성이 심하지 않은 기진파의 경우에서는 비선형 운동해석의 수치해석 안정성의 선형 수치해석 안정성과 큰 차이가 없음을 알 수 있게 된다.

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A Sliding Mode Control Design based on the Reaching Law for Matrix Rectifiers

  • Wang, Zhiping;Mao, Yunshou;Hu, Zhanhu;Xie, Yunxiang
    • Journal of Power Electronics
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    • v.16 no.3
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    • pp.1122-1130
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    • 2016
  • This paper presents a novel approach for achieving both a tight DC voltage regulation and a power factor control by applying the Reaching Law Sliding Mode Control (RL-SMC) and the conventional Sliding Mode Control (SMC). Applying these strategies on a matrix rectifier (MR) can achieve a unity grid side power factor when the DC load changes widely and it can provide a ripple-free output voltage that is easily affected by distortions of the three-phase ac voltage supply. Furthermore, by employing the reaching law on the SMC can solve the chatting problem of the sliding motion. Comparative Matlab simulations and experimental verifications for these strategies have been presented and discussed in this paper. The results show that by applying the SMC and RL-SMC on a MR can achieve a unity grid side power factor and a regulated ripple-free DC output.

An analytical study on the nonlinear vibration of a double-walled carbon nanotube

  • Hajnayeb, Ali;Khadem, S.E.
    • Structural Engineering and Mechanics
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    • v.54 no.5
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    • pp.987-998
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    • 2015
  • In this paper, free vibrations of a clamped-clamped double-walled carbon nanotube (DWNT) under axial force is studied. By utilizing Euler-Bernoulli beam theory, each layer of DWNT is modeled as a beam. In this analysis, nonlinear form of interlayer van der Waals (vdW) forces and nonlinearities aroused from mid-plane stretching are also considered in the equations of motion. Further, direct application of multiple scales perturbation method is utilized to solve the obtained equations and to analyze free vibrations of the DWNT. Therefore, analytical expressions are found for vibrations of each layer. Linear and nonlinear natural frequencies of the system and vibration amplitude ratios of inner to outer layers are also obtained. Finally, the results are compared with the results obtained by Galerkin method.

Frequency analysis of moderately thick uniform isotropic annular plates by discrete singular convolution method

  • Civalek, Omer;Ersoy, Hakan
    • Structural Engineering and Mechanics
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    • v.29 no.4
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    • pp.411-422
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    • 2008
  • In the present study, free vibration analysis of thick annular plates is analyzed by discrete singular convolution method. The Mindlin plate theory is employed. The material is isotropic, homogeneous and obeys Hook's law. In this paper, discrete singular convolution method is used for discretization of equations of motion. Axisymmetric frequency values are presented illustrating the effect of radius ratio and thickness to radius ratio of the annular plate. The influence of boundary conditions on the frequency characteristics is also discussed. Comparing results with those in the literature validates the present analysis. It is shown that the obtained results are very accurate by this approach.

A unified formulation for modeling of inhomogeneous nonlocal beams

  • Ebrahimi, Farzad;Barati, Mohammad Reza
    • Structural Engineering and Mechanics
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    • v.66 no.3
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    • pp.369-377
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    • 2018
  • In this article, buckling and free vibration of functionally graded (FG) nanobeams resting on elastic foundation are investigated by developing various higher order beam theories which capture shear deformation influences through the thickness of the beam without the need for shear correction factors. The elastic foundation is modeled as linear Winkler springs as well as Pasternak shear layer. The material properties of FG nanobeam are supposed to change gradually along the thickness through the Mori-Tanaka model. The small scale effect is taken into consideration based on nonlocal elasticity theory of Eringen. From Hamilton's principle, the nonlocal governing equations of motion are derived and then solved applying analytical solution. To verify the validity of the developed theories, the results of the present work are compared with those available in literature. The effects of shear deformation, elastic foundation, gradient index, nonlocal parameter and slenderness ratio on the buckling and free vibration behavior of FG nanobeams are studied.

Free vibration investigation of FG nanoscale plate using nonlocal two variables integral refined plate theory

  • Balubaid, Mohammed;Tounsi, Abdelouahed;Dakhel, B.;Mahmoud, S.R.
    • Computers and Concrete
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    • v.24 no.6
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    • pp.579-586
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    • 2019
  • In this research paper, the free vibrational behavior of the simply supported FG nano-plate is studied using the nonlocal two variables integral refined plate theory. The present model takes into account the small scale effect. The effective's properties of the plate change according to the power law variation (P-FGM). The equations of motion of the system are determined and resolved via Hamilton's principle and Navier procedure, respectively. The validity and efficiency of the current model are confirmed by comparing the results with those given in the literature. At the last section, several numerical results are presented to show the various parameters influencing the vibrational behavior such as the small-scale effect, geometry ratio, material index and aspect ratio.

Analysis Methods of Hydroelastic Responses for a Very Large Floating Structure (초대형 부유식 해양구조물의 유탄성 응답에 대한 해석 방법)

  • 이호영
    • Journal of Ocean Engineering and Technology
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    • v.14 no.2
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    • pp.19-27
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    • 2000
  • In this paper hydroelastic responses of a very large floating structure(VLFS) are studied theoretically. We have been developed the source and dipole distribution method and pressure distribution method to evaluate the hydrodynamic pressures. The problem of vertical structural responses due to waves are calculated by using finite element method(FEM) and modal expansion method of a free-free beam Hydroelastic responses of VLFS in waves are computed by four methods developed in this paper. As a result the theoretical results of motion responses show good agreements with experimental ones.

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