• Title/Summary/Keyword: Rectangular Case

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Experimental Modal Analysis of Two Unequal Rectangular Plates Coupled with Fluid (유체로 연성되고 두께가 상이한 두 직사각 평판의 실험적 모드 해석)

  • Yoo, Gye-Hyoung;Jeong, Kyeong-Hoon;Lee, Seong-Cheol
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.12
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    • pp.2541-2549
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    • 2002
  • In order to study the vibration characteristics of fluid-structure interaction problem, two rectangular plates coupled with bounded fluid were investigated. Experimental modal analyses were carried out to extract the modal parameters of the system. Additionally. finite element modal analyses performed using a commercial computer code, ANSYS. The FEM solutions were compared with the experimental solutions to verify the finite element model. As a result, the comparison between the experiment and FEM results showed excellent agreement. The transverse vibration modes, in-phase and out-of-phase, were observed alternately in the fluid-coupled system. The thickness effect of the plates on the fluid-coupled natural frequencies and mode shapes was investigated for two different cases with the identical thickness and the unequal thickness. It was found that the coupled natural frequencies increase with the thickness for the identical plates regardless of the mode phase. The experimental and the finite element analysis results showed that the out-of-phase mode shapes were deviated from the symmetrical mode shapes in the plate transverse direction fur the unequal plate thickness case.

Stress Analysis of Rectangular Bar under Torsion (비틀림을 받는 사각주의 응력해석)

  • Kim, Dong-Hyun;Ji, Joong-Jo;Yoon, Kab-Young
    • Journal of the Korean Society for Precision Engineering
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    • v.3 no.4
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    • pp.53-63
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    • 1986
  • In this study, the stress distribution of rectangular bar under torsion, when warping of both ends is free or constrained, is investigated. Method of separation of variable and Fourier Series are used for the theoretical analysis, and 3dimensional photoelastic stress-freezing method for experimental analysis. The main results are as follows; 1) In the case of warping-constrained rectangular bar, the normal stresses are negligible because they are less then 0.5% of the shear stresses. The maximum normal stress is placed on the point of y=0.61 b when b/a=1 and it gradually moves to the corner y=b when the value of b/a is increased. 2) According to increase of the value of b/a, on the crossection, the maximum shear stress is placed on the middle point of the long side (x=${\pm}a$, y=0) when warping of both ends is free but the middle of the short side (x=0, y=${\pm} b$) when warping is constrained. The stress distribution is straight line when warping is constrained, namely, the stress distribution is proportional to the distance from the axis of centroid, but parabolic when warping is free. 3) The values of the combined stress of warping-constrained bar, if the influence of the loaded point is neglected, are generally smaller than those of warping-free.

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Catch fluctuation of the rectangular set net according to the tide age in the coastal waters of Jeju (제주연안 각망의 조석에 의한 어획량 변동)

  • Lee, Chang-Heon;Choi, Chan-Moon
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.44 no.2
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    • pp.112-119
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    • 2008
  • The fundamental data on the catch fluctuation in the rectangular set net according to the tide age were developed based on the catches recorded from the year 1986 to 2004 in the coastal waters of Hamdeok, Jeju. Total catch by the rectangular set net had a deep connection with the tide age. In particular, during increasing tide, total catch were reduced gradually from the neap tide to the high tide. As it turned out, the slope of total catch declined by degree and showed a correlation coefficient of determination of 0.76. On the contrary, in the case of decreasing tide, there was little sign of rise in total catch. In particular, large catch seemed to occur at the next tide to the neap tide. In the relation between the catch and the tide age, the level of the correlation coefficient chosen at $p{\leq}0.05$ decreased in the order rabbitfish(-0.84) and horse mackerel(-0.71), while the significance of other dominant species were not selected.

A Study on Vibration Characteristics in Water Tank with Multi-panels (복수 평판으로 이루어진 접수 탱크 구조물의 진동 특성에 관한 연구)

  • Bae, S.Y.
    • Journal of Power System Engineering
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    • v.14 no.6
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    • pp.67-74
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    • 2010
  • Many tanks are installed in ship and marine structures. They are often in contact with inner or outer fluid, like ballast, fuel and cargo tanks. Fatigue damages are sometimes observed in these tanks which seem to be caused by resonance with exciting force of engine and propeller. Vibration characteristics of these thin walled tanks in contact with fluid near engine and propeller are strongly affected by added mass of containing fluid. Therefore it is essentially important to estimate the added mass effect to predict vibration of the tanks. Many authors have studied vibration of cylindrical and rectangular tanks containing fluid. Few research on dynamic interaction among tank walls through fluid are reported in the vibration of rectangular tanks recently. In case of rectangular tanks, structural coupling between adjacent panels and effect of vibration modes of multiple panels on added mass have to be considered. In the previous report, A numerical tool of vibration analysis of a 3-dimensional tank is developed by using finite element method for plates and boundary element method for fluid region. In this paper, the coupling effect between panels of a tank on added mass of containing fluid, the effect of structural constraint between panels on each vibration mode for fluid region and mode characteristics in accordance with changing breadth of the plates are investigated numerically and discussed.

Natural Convection Flow and Heat Transfer in a Fluid Heated Internally within an Inclined Rectangular Enclosure (경사진 직사각형 공간내에서 내부적으로 가열되는 유체의 자연대류유동 및 열전달)

  • 이재헌;김재근;박만흥
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.3
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    • pp.555-568
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    • 1992
  • A asic study is performed on two-dimensional natural convective flow and heat transfer in a fluid heated internally within an inclined rectangular enclosures. For Rayleign numbers from 1.0*10$^{4}$to 1.5*10$^{5}$ , aspect ratio of 1/4, 1/3 and 1/2, and inclined angle from 0deg to 90deg, the governing equations were solved numerically and the experiments were performed by MachZehnder interferometer using low salinity water as a test fluid. For aspect ratios adapted in present study, the natural convection occures the most intensive at inclined angle of 0deg. This became weak at inclined angles of 60deg and 30deg in case of aspect ratios of 1/3 and 1/2 respectively. The intensity of flow was roughly in proportion to Rayliegh numbers and in proportion to the forth power of aspect ratios.

Basic Characteristics of a Self-Compensated Hydrostatic Journal Bearing (자기 보상형 유정압 저어널 베어링의 기본 특성)

  • Park Chun Hong;Lee Young Joon;Hong Seong Wook;Lee Husang
    • Journal of the Korean Society for Precision Engineering
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    • v.22 no.5 s.170
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    • pp.159-166
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    • 2005
  • A self-compensated water-hydrostatic bearing is well known to have advantages in stiffness. In this paper, its concept is extended to a hydrostatic journal bearing for achieving higher stiffness. The finite element method is applied to analyze the load characteristics of the self-compensated hydrostatic journal bearing. The analysis results reveal that the self-compensated journal bearing has higher load capacity and higher stiffness than conventional, fixed capillary journal bearings. and that this benefit degrades in the case of high eccentricity. Thus, a spindle system with self-compensated journal bearings must be designed to ensure a sufficiently large load capacity. A rectangular type capillary is also introduced with consideration of the practical application of the self-compensated hydrostatic journal bearing. Theoretical analysis results show that the rectangular type capillary is more beneficial than conventional annular type capillaries in practical use. The experimental verification on the analysis method is made to show that the experimental results are in good agreement with theoretical results.

Natural Convection from a Vertical Flat Plate with Horizontal Rectangular Fins (수직평판(垂直平板)에 부착(附着)된 수평(水平)핀에서의 자연대류(自然對流))

  • Kim, S.J.;Lee, J.C.;Seo, L.S.;Kwon, S.S.
    • The Magazine of the Society of Air-Conditioning and Refrigerating Engineers of Korea
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    • v.17 no.4
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    • pp.448-455
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    • 1988
  • A study has been conducted experimentally on natural convection heat transfer characteristics of a vertical flat plate with horizontal rectangular fins in air. The effects of fin heights and Rayleigh numbers are mainly investigated. The experimental results are as follows; 1. The mean fin, plate and total Nusselt numbers decrease as dimensionless fin heights H/S increase at $0.50{\leq}H/S{\leq}2.00$. 2. The mean fin surface Nusselt number in case of H/S = 0.50 and $Ra_c=4.33{\times}10^3$ shows its maximum at $X_1$, surface where there is no interference with other fins. 3. Owing to the interference of fins the mean plate Nusselt numbers at H/S=0.50 and 2.00 for $Ra_S=6.57{\times}10^3$ are 35% and 80% respectively less than the mean fin Nusselt numbers. 4. The mean fin, plate and total Nusselt numbers of horizontal rectangular fins show higher values at short fins, but lower values at long fins than those of upward vertical fins.

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Flow solutions around rectangular cylinders: The question of spatial discretization

  • Corsini, Roberto;Angeli, Diego;Stalio, Enrico;Chibbaro, Sergio;Cimarelli, Andrea
    • Wind and Structures
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    • v.34 no.1
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    • pp.151-159
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    • 2022
  • The aerodynamics of blunt bodies with separation at the sharp corner of the leading edge and reattachment on the body side are particularly important in civil engineering applications. In recent years, a number of experimental and numerical studies have become available on the aerodynamics of a rectangular cylinder with chord-to-thickness ratio equal to 5 (BARC). Despite the interest in the topic, a widely accepted set of guidelines for grid generation about these blunt bodies is still missing. In this work a new, well resolved Direct Numerical Simulation (DNS) around the BARC body at Re=3000 is presented and its results compared to previous DNSs of the same case but with different numerical approaches and mesh. Despite the simulations use different numerical approaches, mesh and domain dimensions, the main discrepancies are ascribed to the different grid spacings employed. While a more rigorous analysis is envisaged, where the order of accuracy of the schemes are kept the same while grid spacings are varied alternately along each spatial direction, this represents a first attempt in the study of the influence of spatial resolution in the Direct Numerical Simulation of flows around elongated rectangular cylinders with sharp corners.

Sway Added Mass of a Rectangular Cylinder in a Restricted Water

  • Hwang, J.H.;Rhee, K.P.;Kang, C.K.
    • Bulletin of the Society of Naval Architects of Korea
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    • v.19 no.1
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    • pp.3-14
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    • 1982
  • In this paper, the sway added mass of a rectangular cylinder in a restricted water is considered by applying Hamilton's principle as the frequency tends to zero. The present method is an extension of Isshiki's method proposed in 1978. In the present method, it is assumed that the fluid velocity distribution in each subdomain of the fluid can be represented by higher order polynomials while Isshiki assumed linear velocity distribution. The fluid flow is assumed as a rotational motion in the present analysis. However, the results obtained from the present method show good agreement with Bai's numerical results for the case of large clearances between a canal wall and a cylinder. From Kelvin's minimum energy theorem, we can see that the value of sway added mass obtained from the present method approaches the upper bound. The approximate formula obtained in the present study takes a simple form which consists of the dimensions of the canal and the cylinder. The present formulae are derived for the cases of a rectangular cylinder swaying at the center of a narrow or wide canal relative to a cylinder, at off-center location in a canal, and in the restricted water with a single wall. From the results of numerical calculation, it is concluded that the sway added mass in restricted waters is more affected by water depth than clearance between a wall and a cylinder.

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Natural Convection Heat Transfer in Inclined Rectangular Enclosures (경사진 사각형 공간내의 자연대류 열전달)

  • Chang, Byong-Hoon
    • Journal of Energy Engineering
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    • v.20 no.1
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    • pp.44-53
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    • 2011
  • The laminar natural convection of air in 2-D rectangular enclosure in which two opposing isothermal walls were kept at different temperatures is investigated numerically for Rayleigh number up to $10^6$. Computations were performed for the width-to-height ratios of 1, 2, and 4, and for the inclination angle range of $0^{\circ}{\leq}{\theta}{\leq}90^{\circ}$. For each aspect ratio, the influence of the inclination angle on the flow patterns and heat transfer rates were examined for $10^3{\leq}Ra{\leq}10^6$. It is found that the growth of secondary flow in the corners led to the decrease in overall heat transfer for small aspect ratio case, and the transition from a three-cell structure to a unicell flow pattern in large aspect ratio led to a step-like change in heat transfer. A new correlation of mean Nusselt number is presented for the vertical case of ${\theta}=90^{\circ}$.