• Title/Summary/Keyword: 환형판

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Dynamic Analysis of Annular Plates Having Thickness Variation(1. Modeling) (두께가 변화하는 환형판의 동적해석(1. 모델링))

  • Jang, Seung-Ho
    • Journal of the Korean Society for Precision Engineering
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    • v.13 no.2
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    • pp.123-132
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    • 1996
  • 환형판은 항공기, 선박, 자동차, 섬유기계 등에서 널리 사용되고 있다. 최근에는 각종기계 또는 구조물을 경량화하고 크기를 줄이기 위하여, 두께가 변화하는 환형판을 기계요소설계에 많이 응용하고 있다. 본 논문에서는 회전관성과 전단변형을 고려하여 두께가 변화($H=h_0(1-{\alpha}x^n)$, n=1, 2, 3, 4)하는 환형판의 동적 모델링을 하였다.

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Three Dimensional Vibration Analysis of Thick, Circular and Annular Plates with Nonlinear Thickness Variation (비선형 두께 변분을 갖는 두꺼운 원형판과 환형판의 3차원적 진동해석)

  • 장승환;심현주;강재훈
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.17 no.2
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    • pp.119-129
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    • 2004
  • A three dimensional (3D) method of analysis is presented for determining the free vibration frequencies and mode shapes of thick, circular and annular plates with nonlinear thickness variation along the radial direction. Unlike conventional plate theories, which are mathematically two dimensional (2D), the present method is based upon the 3D dynamic equations of elasticity. Displacement components u/sub s/, u/sub z/, and u/sub θ/ in the radial, thickness, and circumferential directions, respectively, are taken to be sinusoidal in time, periodic in θ, and algebraic polynomials in the s and z directions. Potential (strain) and kinetic energies of the plates are formulated, and the Ritz method is used to solve the eigenvalue problem thus yielding upper bound values of the frequencies by minimizing the frequencies. As the degree of the polynomials is increased, frequencies converge to the exact values. Convergence to four digit exactitude is demonstrated for the first five frequencies of the plates. Numerical results we presented for completely free, annular and circular plates with uniform linear, and quadratic variations in thickness. Comparisons are also made between results obtained from the present 3D and previously published thin plate (2D) data.

Analytical Investigation on Elastic Behaviors of Isotropic Annular Sector Plates Subjected to Uniform Loading (등분포하중을 받는 등방성 환형 섹터판의 탄성 거동에 대한 해석적 연구)

  • Kim, Kyung-Sik
    • Journal of Korean Society of Steel Construction
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    • v.22 no.3
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    • pp.241-251
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    • 2010
  • This paper presents the development of a new analytical solution to the governing differential equation for isotropic annular sector plates subjected to uniform loading in a three-dimensional polar coordinate system. The 4th order governing partial differential equation (PDE) was converted to an ordinary differential equation (ODE) by assuming the Levy-type series solution form and the subsequent mathematical operations. Finally, a series-type solution was assembled with homogeneous and nonhomogeneous solution parts after operating real values and complex conjugates derived from the characteristic equation. To demonstrate the convergence rate and the accuracy of the featured method, several examples with various sector angles were selected and solved. The deflections and internal moments in the example annular sector plates that were obtained from the proposed solution were compared with those obtained from other analytical studies and numerical analyses using the finite element analysis package program, ABAQUS. Very good agreement with the results of other analytical and numerical methodologies was shown.

Frequencies and Mode Shapes of Annular Plates tilth Variable Thickness by the Ritz Method in Three-Dimensional Analysis (변두께를 갖는 두꺼운 환형판의 삼차원적 리츠방법에 의한 진동수와 모드형상)

  • 양근혁;강재훈
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.11 no.5
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    • pp.89-100
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    • 2001
  • The Ritz method Is applied In a three-dimensional (3-D) analysis to obtain accurate frequencies for thick. linearly tapered. annular plates. The method is formulated for annular plates haying any combination of free or fixed boundaries at both Inner and outer edges. Admissible functions for the three displacement components are chosen as trigonometric functions in the circumferential co-ordinate. and a1gebraic polynomials in the radial and thickness co-ordinates. Upper bound convergence of the non-dimensional frequencies to the exact values within at least four significant figures is demonstrated. Comparisons of results for annular plates with linearly varying thickness are made with ones obtained by others using 2-D classical thin place theory. Extensive and accurate ( four significant figures ) frequencies are presented 7or completely free. thick, linearly tapered annular plates haying ratios of average place thickness to difference between outer radius (a) and inner radius (b) radios (h$_{m}$/L) of 0.1 and 0.2 for b/L=0.2 and 0.5. All 3-D modes are included in the analyses : e.g., flexural, thickness-shear. In-plane stretching, and torsional. Because frequency data liven is exact 7o a\ulcorner least four digits. It is benchmark data against which the results from other methods (e.g.. 2-D 7hick plate theory, finite element methods. finite difference methods) and may be compared. Throughout this work, Poisson\`s ratio $\upsilon$ is fixed at 0.3 for numerical calculations.s.

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Evaluation of Characteristics on Negative Reactions of Simply Supported Curved Box Girder Bridges with Elastomeric Bearings (탄성받침을 가지는 단경간 곡선 강박스거더 교량의 부반력 특성평가)

  • Kim, Kyungsik;Lee, Heejeong
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.28 no.2
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    • pp.161-168
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    • 2015
  • Horizontally curved bridges are subjected to torsional loads by their vertical dead loads only as well as eccentric loads, which cause negative reactions at supports. In this paper, effects of bridge curvature on vertical reactions at supports are investigated for 48.8 m length simple span steel box girder bridges with elastomeric bearings by varying curvature angle from 0.49 to 1.35 rad. In order to expect magnitude and direction of reactions including possibility of negative reactions, reaction evaluation equations have been analytically developed by separating a superstructure of curved bridge into independent components. Concrete slabs and bottom flanges in steel box section are assumed geometrical annular sectors in area dimension, and top flanges and webs that have very narrow projected areas are assumed geometrical arcs in line dimension. Proposed equations have relatively simple forms and prediction values are on very good agreement with those from finite element analyses by difference of 1% order.

Optimal Design of Permanent Magnet Thrust Bearings (영구자석형 스러스트 베어링의 최적 설계)

  • Yoo, Seong-Yeol;Kim, Woo-Yeon;Kim, Seung-Jong;Lee, Wook-Ryun;Bae, Yong-Chae;Noh, Myoung-Gyu
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.35 no.4
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    • pp.353-358
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    • 2011
  • In this paper, we describe a process for optimally designing a ring-type permanent magnet thrust bearing. The bearing consists of two sets of permanent magnet rings. One set is located inside the other set. An axial offset between the two sets creates axial force, which results in a thrust bearing function. In order to realize an optimal design of the bearing where the required load capacity of the bearing is achieved with the least magnet volume, we derived analytical design equations by adopting the equivalent current sheet (ECS) method. We considered the following two types of magnet arrays: axial arrays and Halbach arrays. These two types of arrays are optimized using the analytical design equations. The results of the optimization are verified using three dimensional (3D) finite element analyses (FEA). The results show that the Halbach array can achieve the required load capacity with less amount of permanent magnet than the axial array does. The efficacy of the ECS method is also verified by using 3D FEA. It is found that the accuracy of ECS method is more sensitive to the underlying assumptions for the Halbach array than for the axial array.

Angular Division Multiplexing for Multichannel Optical Fiber Communication Systems (광섬유 다중통신 시스템을 위한 각도분할 방식)

  • 허선종;김성일;박한규
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.8 no.4
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    • pp.164-171
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    • 1983
  • In this paper, angular division multiplexing of the optical multiplexing technique for transmitting several channels using a relatively short step-index fiber is described. Mode coupling and the output power distributionin the fiber for the plane wave excitations is calculated and the crosstalk level determination of the system is proposed. In the presence of the mode coupling, the pulse width in terms of the fiber's length and input condition is calculated in the slab waveguide and the fiber. For the input angles (

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Miniaturized Setback Generators Using Ring-Shaped Magnet for Power Supply of Small-Caliber Electronic Fuze (원환형 영구자석을 이용한 관성력 발전장치 소형화 설계)

  • Yoon, Sang-Hee
    • Journal of the Korea Institute of Military Science and Technology
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    • v.8 no.2 s.21
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    • pp.58-66
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    • 2005
  • This paper presents miniaturized setback generators based on the conversion of mechanical energy into electrical energy for military applications, especially power supply for electronic fuzes. In order to minimize the volume of setback generators, a ring-shaped magnet enclosing a coil assembly is adopted. A mechanical safety system, shear plate, is used as a release mechanism of the setback generators to prevent the generators from operating accidentally. The setback generators are intended not to ignite an electrical detonator but to charge a capacitor which is capable of driving electronic circuit of fuze. We design the setback generators using the simulation results of an electromagnetic analysis tool, $Maxwell^{(R)}$ 2D. In experimental study, we perform safety tests of the shear plate and firing tests of the fabricated setback generators. The present setback generators show that the voltage of 14.2V is charged at the capacitor of $30{\mu}F$ within the charging time of 0.68msec and the critical acceleration for safety is 5,000G, thus verifying that the setback generators with a ring-shaped permanent magnet can be applicable to the power supply of small-caliber electronic fuze.

Non-Reacting Flow Structure of a Low Swirl Combustor with respect to Inlet Velocities (저선회 연소기의 입구 속도에 따른 비반응 유동구조 분석)

  • Jeong, Hwanghui;Lee, Bok Jik;Lee, Keeman
    • Journal of the Korean Society of Propulsion Engineers
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    • v.22 no.6
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    • pp.56-63
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    • 2018
  • In low swirl combustors the flame is lifted above the nozzle to achieve balance between the flame speed and velocity field at the exit of the nozzle. Characterization of the flame liftoff height is important because it affects the stability of the combustor and degradation of the nozzle material. In experiments, a counter-intuitive trend of flame liftoff heights with respect to inlet velocities was observed. To elucidate the complicated flow field in a low swirl combustor having swirl vanes and a turbulence generator, a series of numerical simulations of non-reacting flows was conducted by varying the inlet velocity. The flow structures at the exit of the nozzle with respect to the inlet velocities are investigated to support the observation in the experiments.