• Title/Summary/Keyword: 점근 해석

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On the Slipping Phenomenon in Adhesive Complete Contact Problem (응착 완전 접촉 문제에서 접촉면 미끄럼 현상에 관한 고찰)

  • Kim, Hyung-Kyu
    • Tribology and Lubricants
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    • v.36 no.3
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    • pp.147-152
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    • 2020
  • This paper is within the framework of an adhered complete contact problem wherein the contact between a half plane and sharp edged indenter, both of which are elastic in character, is constituted. The eigensolutions of the contact shear and normal stresses, σrq and σq, respectively, are evaluated via asymptotic analysis. The ratio of σrqqq is investigated and compared with the coefficient of friction, μ, of the contact surface to observe the propensity to slip on the contact surface. Interestingly, there exists a region of |σθθ| ≥ |μ|. Thus, slipping can occur, although the problem is solved under the condition of an adhered contact without slipping. Given that a tribological failure potentially occurs at the slipping region, it is important to determine the size of the slipping region. This aspect is also factored in the paper. A simple example of the adhered contact between two elastically dissimilar squares is considered. Finite element analysis is used to evaluate generalized stress intensity factors. Furthermore, it is repeatedly observed that slipping occurs on the contact surface although the size of it is extremely small compared with that of the contacting squares. Therefore, as a contribution to the field of contact mechanics, this problem must be further explained logically.

Analysis of the Characteristics for Quadrature Receivers Adopting an Auto-Calibration Method (자동 보정 기능을 가진 직교 위상 수신기의 특성 해석)

  • Kwon, Soon-Man;Kim, Seog-Joo
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.20 no.1
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    • pp.100-106
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    • 2009
  • This paper deals with an estimation problem of the gain and phase imbalances between the in-phase and quadrature components in the quadrature receivers which are widely used in wireless communications. It is shown that the estimates derived from the suggested auto-calibration algorithm is asymptotically minimum-variance unbiased as a function of the sampling time. In order to show this characteristic, the probability density functions of the estimates for the gain and phase imbalances are derived first. Then the mean and variance functions are investigated analytically or numerically based on the density functions.

A New Development in the Theory of Slender Ships (세장선 이론의 새로운 전개)

  • 김인철
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.27 no.1
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    • pp.83-90
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    • 1991
  • The method, which is introduced here, is an approximation derived by an application of the slender body theory, which has achieved a great success in the field of aeronautical engineering. However numerical results for wave resistance by this theory have been very disappointing. A slender body formulation for a ship in uniform forward motion si presented. It is based on the asymptotic expansion of the Kelvin source and the result is quite different from the existing slender ship theory developed by Vossers, Tuck and Maruo. It is equivalent to an approximation for the kernel function of the Neumann-Kelvin problem which assumes the linearized free surface condition but deals with the body boundary condition in its exact from. The velocity field and pressure distribution can be calculated simply by the differentiation of the two-dimensional velocity potential. A formula for the wave resistance of slender ships is also presented.

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Performance Comparisons of Two Inner Coding Structures in Concatenated Codes for Wireless Multimedia / Multicast Transmission on Shipboard (해상환경에서 선박내 무선 이동 멀티캐스트/멀티미디어 전송을 위한 쇄상부호의 내부호 구조 성능비교 연구)

  • Lee, Ye Hoon;Lee, Seong Ro
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.39C no.12
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    • pp.1323-1326
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    • 2014
  • In this letter, we compare the performance of two concatenated coding structures in slow FH/SS systems for multimedia/multicast transmission on shipboard. Two outer code symbols are transmitted during a hop. The first structure consists of one inner codeword per one outer code symbol, while the second structure consists of one inner codeword per two outer code symbols. We analyze the overall block error probability in asymptotic region and show that the performance of the second scheme is superior to the first one.

An asymptotic analysis of the Taylor-Proudman flow in a rapidly-rotating compressible fluid (압축성 회전유체에서 발생하는 Taylor-Proudman 유동에 대한 점근해석)

  • Park Jun Sang;Hyun Jae Min
    • Proceedings of the KSME Conference
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    • 2002.08a
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    • pp.341-344
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    • 2002
  • A matched asymptotic analysis is conducted for a compressible rotating flow in a cylindrical container when a mechanical and/or a thermal disturbance is imposed on the wall. The system Ekman number is assumed to be very small. The conditions for the Taylor-Proudman column in the interior, which were also given in the companion paper Park & Hyun, 2002) by means of the energy balancing analysis, have been re-derived. The concept of the variable, the energy content $e[{\equiv}T+2 {\alpha}^2 {\gamma}{\nu}]$, is reformulated, and its effectiveness in characterizing the energy transport mechanism is delineated. It is seen that, under the condition of the Taylor-Proudman column, numerous admissible theoretical solutions for interior flow exist with an associated wail boundary condition. Some canonical examples are illustrated with comprehensive physical descriptions. The differential heating problem on the top and bottom endwall disks is revisited by using the concept of the energy content. The results are shown to be in line with the previous findings.

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Domains of Attraction of a Forced Beam with Internal Resonance (내부공진을 가진 보의 흡인영역)

  • 이원경;강명란
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.9
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    • pp.1711-1721
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    • 1992
  • A nonlinear dissipative dynamical system can often have multiple attractors. In this case, it is important to study the global behavior of the system by determining the global domain of attraction of each attractor. In this paper we study the global behavior of a forced beam with two mode interaction. The governing equation of motion is reduced to two second-order nonlinear nonautonomous ordinary differential equations. When .omega. /=3.omega.$_{1}$ and .ohm.=.omega $_{1}$, the system can have two asymptotically stable steady-state periodic solutions, where .omega./ sub 1/, .omega.$_{2}$ and .ohm. denote natural frequencies of the first and second modes and the excitation frequency, respectively. Both solutions have the same period as the excitation period. Therefore each of them shows up as a period-1 solution in Poincare map. We show how interpolated mapping method can be used to determine the two four-dimensional domains of attraction of the two solutions in a very effective way. The results are compared with the ones obtained by direct numerical integration.

Preparation of Anionomeric Polyurethane Dispersions and Effects of Mixed Polyol on the Properties of Polyurethane (음이온성 폴리우렌탄 분산체의 제조와 우레탄 물성에 대한 폴리올의 혼합 효과)

  • Ahn, Jae-Beom;Cho, Hang-Kyu;Jeong, Chang-Nam;Noh, Si-Tae
    • Applied Chemistry for Engineering
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    • v.8 no.2
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    • pp.230-236
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    • 1997
  • Polyurethane dispersions(PUD) were prepared from IPDI, PBEAG and PTMG as respectively ester type and ether type polyols and DMPA as anionic site. The effect of composition and type of polyols on the particle size of PUD and mechanical, thermal properties of PUD cast film were investigated. As the PTMG contents in mixed polyols increased, the particle size asymptotically increased and tensile strength showed a mild drop followed by a mild increase. This results from the incompatibility of two polyols, which was possibly identified by DSC analysis.

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On the Design and Performance Analysis of Dynamic Stack Systems (동적 스택시스템의 설계와 성능분석)

  • Jeong, Chi-Bong
    • The Transactions of the Korea Information Processing Society
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    • v.2 no.3
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    • pp.364-373
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    • 1995
  • We propose a probabilistic design method and performance analysis in the area of dynamic data structures. We assign two stacks to a block which consists of m contiguous memory cells. Frequencies of delete and insert operations are not fixed, but depend on stack heights. We present various probabilistic schema and a rigorous performance analysis for a random memory allocation. Especially, stack coillision problem is studied and exponential increase of the mean of collision time as mlongrightarrow$\infty$is showed. We also present general mathematical schema which can be applied to the performance problems of finite automata and other computer information systems.

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Numerical Analysis on the Wave Resistance by the Theory of Slender Ships (세장선 이론에 의한 조파저항의 수치 해석)

  • 김인철
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.23 no.3
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    • pp.111-116
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    • 1987
  • The accurate prediction of the ship wave resistance is very important to design ships which operate satisfactorily in a wave environment. Thus, work should continue on development and validation of methods to compute ship wave patterns and wave resistance. Research efforts to improve the prediction of ship waves and wavemaking resistance are categorized in two major areas. First is the development of higher-order theories to take account of the nonlinear effect of the free surface condition and improved analytical treatment of the body boundary condition. Second is the development of direct numerical methods aimed at solving body and free-surface boundary conditions as accurately as possible. A new formulation of the slender body theory for a ship with constant speed is developed by Maruo. It is quite different from the existing slender ship theory by Vossers, Maruo and Tuck. It may be regarded as a substitute for the Neumann-Kelvin approximation. In present work, the method of asymptotic expansion of the Kelvin source is applied to obtain a new wave resistance formulation in fluid of finite depth. It takes a simple form than existing theory.

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A Study on BEM-Based Numerical Simulation Technique for Underwater Explosions (수중 폭발 시뮬레이션을 위한 경계 요소법 기반의 수치 해석 기법 연구)

  • Choung, Joonmo;Lee, Jae-bin
    • Journal of the Society of Naval Architects of Korea
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    • v.57 no.5
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    • pp.271-277
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    • 2020
  • Recoverability and vulnerability of navy ships under underwater explosion are critical verification factors in the acquisition phase of navy ships. This paper aims to establish numerical analysis techniques for the underwater explosion of navy ships. Doubly Asymptotic Approach (DAA) Equation of Motion (EOM) of primary shock wave and secondary bubble pulse proposed by Geers-Hunter was introduced. Assuming a non-compressive fluid, reference solution of the DAA EOM of Geers-Hunter using Runge-Kutta method was derived for the secondary bubble pulse phase with an assumed charge conditions. Convergence analyses to determine fluid element size were performed, suggesting that the minimum fluid element size for underwater explosion analysis was 0.1 m. The spherical and cylindrical fluid domains were found to be appropriate for the underwater explosion analyses from the fluid domain shape study. Because the element size of 0.1 m was too small to be applied to the actual navy ships, a very slender beam with the square solid section was selected for the study of fluid domain existence effect. The two underwater explosion models with/without fluid domain provided very similar results in terms of the displacement and stress processes.