• Title/Summary/Keyword: convergence properties

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Analysis of Mechanical Curing Properties Based on Vacuum Pressure of UV-Cured Composites (UV 경화형 복합재료의 진공압에 따른 기계적 경화 특성 분석)

  • Jang, Yong-Soo;Kim, Jeong-Keun;Go, Sun-Ho;Kim, Hong-Gun;Kwac, Lee-Ku
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.19 no.12
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    • pp.87-97
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    • 2020
  • In this study, a UV-cured GFRP molding is made using a combination of hand lay-up and resin transfer molding, and its properties are analyzed. The molded plates produced using various vacuum pressures (0 mmHg, -450 mmHg, and -760 mmHg) are examined via a comparison of hand lay-up molding and resin transfer molding. Tests are conducted by processing tensile specimens (ASTM D-5083), flexural test specimens (ASTM D-790), and ILSS test specimens (ASTM D-2344) according to each ASTM standard with a molded plate. Similarly, the UV-cured GFRP molding is compared against GFRP using epoxy. It was confirmed that the mechanical strengths of all the specimens increased when the vacuum pressure was increased and when UV curing was applied. This is believed to be because as the vacuum pressure increases, the pores of the cured specimen are removed, thereby reducing defects, and the bonding force between the glass fiber and the resin is stronger than that of the epoxy resin. It is expected that if resin transfer molding methods and UV-cured resins are used for molding GFRP composites in industry, products with better mechanical properties and faster curing time will be produced.

p-STACKS ON SUPRATOPOLOGICAL SPACES

  • Min, Won-Keun
    • Communications of the Korean Mathematical Society
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    • v.21 no.4
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    • pp.749-758
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    • 2006
  • In [1], we introduced the notion of p-stacks. In this paper, by using p-stacks we characterize $S^*-continuous$ functions, separation axioms, supracompactness and some properties on supratopological spaces. We also introduce the notion of p-supracompactness and study some properties.

An Improved Manufacturing Method of p-Dicyclopentadiene (DCPD) using Tungsten Type Catalyst in Air Condition (대기 조건에서 경화가 가능한 텅스텐계 p-DCPD의 개선된 성형 방법)

  • Kwon, Dong-Jun;Shin, Pyeong-Su;Kim, Jong-Hyun;Park, Joung-Man
    • Composites Research
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    • v.29 no.4
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    • pp.216-222
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    • 2016
  • Ring-opening metathesis polymerization of p-dicyclopentadiene (DCPD) can be performed using the tungsten type catalyst. This reaction usually progresses in nitrogen condition, because the catalysts are extremely sensitive in air condition. To solve this problem, DCPD resin with tungsten (W) was cured using hot press after stirring of DCPD A and B liquid in air condition. Mechanical properties of DCPD were improved by reducing microvoid occurrence successfully by using hot press method. It might be because hot press could provide sufficient press on DCPD specimen. Addition of catalyst was not effective for the curing of resin in a short time. During polymerization, pressure and temperature had a great influence on the mechanical properties of DCPD.

The dynamics of self-organizing feature map with constant learning rate and binary reinforcement function (시불변 학습계수와 이진 강화 함수를 가진 자기 조직화 형상지도 신경회로망의 동적특성)

  • Seok, Jin-Uk;Jo, Seong-Won
    • Journal of Institute of Control, Robotics and Systems
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    • v.2 no.2
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    • pp.108-114
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    • 1996
  • We present proofs of the stability and convergence of Self-organizing feature map (SOFM) neural network with time-invarient learning rate and binary reinforcement function. One of the major problems in Self-organizing feature map neural network concerns with learning rate-"Kalman Filter" gain in stochsatic control field which is monotone decreasing function and converges to 0 for satisfying minimum variance property. In this paper, we show that the stability and convergence of Self-organizing feature map neural network with time-invariant learning rate. The analysis of the proposed algorithm shows that the stability and convergence is guranteed with exponentially stable and weak convergence properties as well.s as well.

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Maritime Business Cycles with Multiple Structure Changes

  • Kim, Hyunsok
    • Journal of Navigation and Port Research
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    • v.44 no.5
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    • pp.407-413
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    • 2020
  • In this paper we examined a novel extension of the convergence empirics for the maritime business cycle which considers structure breaks and/or changes. To provide theoretical justification, the convergence hypothesis uses the relaxed assumption to technology shocks. Based on the recent empirical results provided by Kim and Chang (2020), we consider nonlinear dynamics that capture the properties on structural changes in the equilibrium adjustment process. This approach bridges the gap between the theoretical framework and empirical specifications. In particular, we applied the convergence hypothesis to the multiple structure change model for the maritime business cycle. Our application to the maritime data showed support of the convergence hypothesis allowing multiple structure changes during the high volatile period and offers additional insight into the forecasting maritime business cycles.

SECOND ORDER REGULAR VARIATION AND ITS APPLICATIONS TO RATES OF CONVERGENCE IN EXTREME-VALUE DISTRIBUTION

  • Lin, Fuming;Peng, Zuoxiang;Nadarajah, Saralees
    • Bulletin of the Korean Mathematical Society
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    • v.45 no.1
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    • pp.75-93
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    • 2008
  • The rate of convergence of the distribution of order statistics to the corresponding extreme-value distribution may be characterized by the uniform and total variation metrics. de Haan and Resnick [4] derived the convergence rate when the second order generalized regularly varying function has second order derivatives. In this paper, based on the properties of the generalized regular variation and the second order generalized variation and characterized by uniform and total variation metrics, the convergence rates of the distribution of the largest order statistic are obtained under weaker conditions.

CONVERGENCE OF DESCENT METHOD WITH NEW LINE SEARCH

  • SHI ZHEN-JUN;SHEN JIE
    • Journal of applied mathematics & informatics
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    • v.20 no.1_2
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    • pp.239-254
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    • 2006
  • An efficient descent method for unconstrained optimization problems is line search method in which the step size is required to choose at each iteration after a descent direction is determined. There are many ways to choose the step sizes, such as the exact line search, Armijo line search, Goldstein line search, and Wolfe line search, etc. In this paper we propose a new inexact line search for a general descent method and establish some global convergence properties. This new line search has many advantages comparing with other similar inexact line searches. Moreover, we analyze the global convergence and local convergence rate of some special descent methods with the new line search. Preliminary numerical results show that the new line search is available and efficient in practical computation.

A Study of Convergence Enhancement Using Preconditioning Methods at Two Dimensional Compressible Low Speed Flows (저속 압축성 유동에서 예조건화 방법을 이용한 수렴성 증진에 대한 연구)

  • Lee J. E.;Park S. H.;Kwon J. H.
    • 한국전산유체공학회:학술대회논문집
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    • 2004.10a
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    • pp.7-14
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    • 2004
  • It is well known that preconditioning methods are efficient for convergence acceleration at compressible low Mach number flows. In this study, the original Euler equations and three preconditioners nondimensionalized differently are implemented in two dimensional inviscid bump flows using the 3rd order MUSCL and DADI schemes as flux discretization and time integration respectively. The multigrid and local time stepping methods are also used to accelerate the convergence. The test case indicates that a properly modified local preconditioning technique involving concepts of a global preconditioning one produces Mach number independent convergence. Besides, an asymptotic analysis for properties of preconditioning methods is added.

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On $L^1(T^1)$ - Convergence of Fourier Series with BV - Class Coefficients (BV - 족 계수를 갖는 푸리에 급수의 $L^1(T^1)$ - 수렴성에 관하여)

  • Lee, Jung-Oh
    • Journal of Integrative Natural Science
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    • v.1 no.3
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    • pp.216-220
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    • 2008
  • In general the Banach space $L^1(T^1)$ doesn't admit convergence in norm. Thus the convergence in norm of the partial sums can not be characterized in terms of Fourier coefficients without additional assumptions about the sequence$\{^{\^}f(\xi)\}$. The problem of $L^1(T^1)$-convergence consists of finding the properties of Fourier coefficients such that the necessary and sufficient condition for (1.2) and (1.3). This paper showed that let $\{{\alpha}_{\kappa}\}{\in}BV$ and ${\xi}{\Delta}a_{\xi}=o(1),\;{\xi}{\rightarrow}{\infty}$. Then (1.1) is a Fourier series if and only if $\{{\alpha}_{\kappa}\}{\in}{\Gamma}$.

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Evaluation of 1/f Noise Characteristics for Si-Based Infrared Detection Materials

  • Ryu, Ho-Jun;Kwon, Se-In;Cheon, Sang-Hoon;Cho, Seong-Mok;Yang, Woo-Seok;Choi, Chang-Auck
    • ETRI Journal
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    • v.31 no.6
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    • pp.703-708
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    • 2009
  • Silicon antimony films are studied as resistors for uncooled microbolometers. We present the fabrication of silicon films and their alloy films using sputtering and plasma-enhanced chemical vapor deposition. The sputtered silicon antimony films show a low 1/f noise level compared to plasma-enhanced chemical vapor deposition (PECVD)-deposited amorphous silicon due to their very fine nanostructure. Material parameter K is controlled using the sputtering conditions to obtain a low 1/f noise. The calculation for specific detectivity assuming similar properties of silicon antimony and PECVD amorphous silicon shows that silicon antimony film demonstrates an outstanding value compared with PECVD Si film.