• Title/Summary/Keyword: the second order behavior

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HOPF'S BOUNDARY TYPE BEHAVIOR FOR AN INTERFACE PROBLEM

  • Beygmohammadi, Maryam;Sweers, Guido
    • 대한수학회지
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    • 제54권1호
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    • pp.249-265
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    • 2017
  • Interface problem here refers to a second order elliptic problem with a discontinuous coefficient for the second order derivatives. For the corresponding boundary value problem, the maximum principle still holds but Hopf's boundary point lemma may fail. We will give an optimal power type estimate that replaces Hopf's lemma at those boundary points, where this coefficient jumps.

Effect of higher order terms of Maclaurin expansion in nonlinear analysis of the Bernoulli beam by single finite element

  • Zahrai, Seyed Mehdi;Mortezagholi, Mohamad Hosein;Mirsalehi, Maryam
    • Structural Engineering and Mechanics
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    • 제58권6호
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    • pp.949-966
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    • 2016
  • The second order analysis taking place due to non-linear behavior of the structures under the mechanical and geometric factors through implementing exact and approximate methods is an indispensible issue in the analysis of such structures. Among the exact methods is the slope-deflection method that due to its simplicity and efficiency of its relationships has always been in consideration. By solving the differential equations of the modified slope-deflection method in which the effect of axial compressive force is considered, the stiffness matrix including trigonometric entries would be obtained. The complexity of computations with trigonometric functions causes replacement with their Maclaurin expansion. In most cases only the first two terms of this expansion are used but to obtain more accurate results, more elements are needed. In this paper, the effect of utilizing higher order terms of Maclaurin expansion on reducing the number of required elements and attaining more rapid convergence with less error is investigated for the Bernoulli beam with various boundary conditions. The results indicate that when using only one element along the beam length, utilizing higher order terms in Maclaurin expansion would reduce the relative error in determining the critical buckling load and kinematic parameters in the second order analysis.

심리적 안정감이 혁신행동에 미치는 영향: 잡 크래프팅(Job Crafting)의 매개효과를 중심으로 (The Effect of Psychological Safety on Innovation Behavior: Focus on Mediating Effect of Job Crafting)

  • 최수형;이정미
    • 아태비즈니스연구
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    • 제11권3호
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    • pp.79-93
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    • 2020
  • Purpose - The purpose of this study analyzes the effect of psychological safety on innovative behavior mediated by job crafting. Design/methodology/approach - This study collected 221 survey data from employees in Korea. Collected data were analyzed using SPSS 25.0 and Macro Process. The multiple regression analysis and bootstrap analysis were hired in order to analyze the data. Findings - First, psychological safety had a significant effect on innovation behavior. Second, job crafting proved a mediating effect in the relationship between psychological safety and innovation behavior. In other words, it has been demonstrated empirically that task crafting, cognitive crafting, and relational crafting, which are sub-elements of job crafting, play a mediating role in the relationship between psychological safety and innovative behavior. Research implications or Originality - This study expanded the study of Job Crafting in that it revealed the mediating role of Job Crafting in the relationship of psychological safety and innovative behavior. Second, this study has novelty in that it has established a sense of psychological safety as an independent variable that promotes innovative behavior, and that it has examined each other's structural relationship by adding a variable called Job Crafting.

고강도 콘크리트 기둥의 2계 거동에 관한 실험적 연구 (Experiments on Second -Order Behavior of High Strength Concrete Columns)

  • 김진근;양주경
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 1992년도 가을 학술발표회 논문집
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    • pp.167-172
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    • 1992
  • To analyze the effects compressive strength of concrete and longitudinal steel ratio on second-order moment of columns, 30tied rein reinforced concrete columns with hinged ends were tested. The 80mm square cross section was used and the amount of eccentricity was 24mm. The compressive strengths of column specimens with slenderness ratios of 10, 60, and 100were 250, 648 and 880kg/$\textrm{cm}^2$, and the longitudinal steel ratios were 1.98%(4-D6) and 3.95%(8-D6). The ratio of ultimate load capacity to that of short column with the same eccentricity (Pu/Pn) was much decreased at high slenderness ratio with increasing the compressive strength of concrete. And the lateral displacement of slender column at the ultimate load was decreased as the strength was increased. These are due to that at high slenderness ratio the load capacity and behavior of column are affected by flexural rigidity. And, it was also found that with increasing steel ratio, the value of Pu/Pn and the lateral displacement at the ultimate load were larger for the same slenderness ratio.

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$H_2-CO_2$에서 $FeAl_2O_4$의 생성기구와 $CO_2$ 중에서의 거동(I) (Formation of $FeAl_2O_4$ in $H_2-CO_2$ and its behavior in $CO_2$(I))

  • 이홍림;강명구
    • 한국세라믹학회지
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    • 제19권4호
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    • pp.309-315
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    • 1982
  • $FeAl_2O_4$ was formed from the starting material of $Fe_2O_3$ and $Al_2O_3$ by controlling the oxygen partial pressure using $H_2-CO_2$ gas mixture, over the temperature range of 800~120$0^{\circ}C$. The formation mechanism of $FeAl_2O_4$ was found to be a second order chemical reaction, and the activation energy of formation was observed as 39.97 kcal/mole. Vaporization behavior of $FeAl_2O_4$ under $CO_2$ atmosphere was observed over the temperature range of 800~120$0^{\circ}C$. $FeAl_2O_4$ was vaporized by a second order chemical reaction and the activation energy was found to be 21.8kcal/mole. Electrical conductivity of $FeAl_2O_4$ was also measured.

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Change in the Order of the Phase Transition in Triglycine Selenate Crystal

  • Song, Yong-Won
    • The Korean Journal of Ceramics
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    • 제6권1호
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    • pp.6-8
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    • 2000
  • The specific heat of a partly deuterated triglycine selenage (DTGSe) crystal under $\gamma$-irradiation was measured. It was shown that $\gamma$-irradiation defects changed the thermodynamic behavior of DTGSe crystal in a small dose region. The order of the phase transition changed from the first to the second at D=0.3 MR.

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OSCILLATORY BEHAVIOR OF A CERTAIN CLASS OF SECOND-ORDER NONLINEAR PERTURBED DYNAMIC EQUATIONS ON TIME SCALES

  • Saker, Samir H.
    • 대한수학회지
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    • 제47권4호
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    • pp.659-674
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    • 2010
  • This paper is concerned with the asymptotic behavior of solutions of the second-order nonlinear perturbed dynamic equation $$(r(t)x^{\Delta}(t))^{\Delta}\;+\;F(t,\;x^{\sigma}))=G(t,\;x^{\sigma},\;(x^{\Delta})^{\sigma})$$ on a time scale $\mathbb{T}$. By using a new technique we establish some sufficient conditions which ensure that every solution oscillates or converges to zero. Our results improve the known oscillation results on the literature for the perturbed dynamic equations on time scales. Some examples illustrating our main results are given.

OSCILLATION OF NONLINEAR SECOND ORDER NEUTRAL DELAY DYNAMIC EQUATIONS ON TIME SCALES

  • Agwo, Hassan A.
    • 대한수학회보
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    • 제45권2호
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    • pp.299-312
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    • 2008
  • In this paper, we establish some oscillation criteria for nonautonomous second order neutral delay dynamic equations $(x(t){\pm}r(t)x({\tau}(t)))^{{\Delta}{\Delta}}+H(t,\;x(h_1(t)),\;x^{\Delta}(h_2(t)))=0$ on a time scale ${\mathbb{T}}$. Oscillatory behavior of such equations is not studied before. This is a first paper concerning these equations. The results are not only can be applied on neutral differential equations when ${\mathbb{T}}={\mathbb{R}}$, neutral delay difference equations when ${\mathbb{T}}={\mathbb{N}}$ and for neutral delay q-difference equations when ${\mathbb{T}}=q^{\mathbb{N}}$ for q>1, but also improved most previous results. Finally, we give some examples to illustrate our main results. These examples arc [lot discussed before and there is no previous theorems determine the oscillatory behavior of such equations.

제 2 언어 습득에서 유아의 영어 문해 능력에 영향을 미치는 변인 연구 : 그림책 읽기에서 어머니의 언어적 행동을 중심으로 (A Study of Factors Influencing Preschoolers' Emergent English as a Second Language Literacy Skills : Maternal Language Behavior in Picture Book Reading)

  • 이명신;김명순
    • 아동학회지
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    • 제32권6호
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    • pp.157-185
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    • 2011
  • The purpose of this study was to explore the factors influencing preschoolers' emergent English as a second language literacy skills in terms of maternal language behavior in Korean and English picture book reading. This study was also conducted in order to identify the pathways of each factor. The subjects consisted of 201 mothers and their 3~5 year-old children from middle income families living in Seoul, Incheon, Gyyounggi-do, and Chungcheongbuk-do. The results indicated that the factors influencing preschoolers' emergent English as a second language literacy skills acquisition were as follows : maternal beliefs about the value of picture book reading, the child's level of interest in picture book reading, the time spent on picture book reading and maternal language behavior during picture book reading activities. The results further indicate that it is important that the mother shares desirable language interaction with her children in their native language while reading not only Korean but also English picture books when aiming to improve preschoolers' emergent English literacy skills.

Advanced analysis for planar steel frames with semi-rigid connections using plastic-zone method

  • Nguyen, Phu-Cuong;Kim, Seung-Eock
    • Steel and Composite Structures
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    • 제21권5호
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    • pp.1121-1144
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    • 2016
  • This paper presents a displacement-based finite element procedure for second-order distributed plasticity analysis of planar steel frames with semi-rigid beam-to-column connections under static loadings. A partially strain-hardening elastic-plastic beam-column element, which directly takes into account geometric nonlinearity, gradual yielding of material, and flexibility of semi-rigid connections, is proposed. The second-order effects and distributed plasticity are considered by dividing the member into several sub-elements and meshing the cross-section into several fibers. A new nonlinear solution procedure based on the combination of the Newton-Raphson equilibrium iterative algorithm and the constant work method for adjusting the incremental load factor is proposed for solving nonlinear equilibrium equations. The nonlinear inelastic behavior predicted by the proposed program compares well with previous studies. Coupling effects of three primary sources of nonlinearity, geometric imperfections, and residual stress are investigated and discussed in this paper.