• 제목/요약/키워드: C(t)-integral

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파괴인성치 Jic 결정에 대한 시험편 두께의 영향에 관한 연구 (The Thickness Effect on the Determination of Fracture Toughness Jic)

  • 고성위
    • 수산해양기술연구
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    • 제24권2호
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    • pp.83-93
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    • 1988
  • 본 연구에서는 J 적분을 이용하여 두께의 변화에 따른 파괴인성치의 거동을 검토하기 위하여 두께 25mm의 일반구조용 압연강판을 평면가공하여 두께 5, 10, 15, 20, 25mm의 CT 시험편을 제작하였다. 이때 크랙비는 z=0.60인 상태에서 두께를 변화시켜가면서 파괴인성수 J 하(C)와 열단계수 T의 거동을 고찰하였다. 얻어진 결과를 요약하면 다음과 같다. 1) 평면응력 파괴인성치 J 하(C)는 각각의 두께에 대하여 Merkle식에 의한 결과가 가장 높게 나타나고 Rice식, Simpson식, Yoon식의 순서로 나타난다. 2) 평면응력 파괴인성치 J 하(C)는 동일한 J 적분식을 적용하였을 때 두께가 감소함에 따라 증가하였다가 두께 15mm를 기준으로 다시 감소한다. 3) Yoon식을 사용할 경우 평면응력 파괴인성치 J 하(C)와 시험편 두께 B의 상관관계를 무차원화시켜 다음과 같은 실험식을 얻었다. J 하(C)/J 하(IC)=1.7-15.1(B/W)+112.9(B/W) 상(2) -301.3(B/W) 상(3) +260.6(B/W) 상(4) R=0.999 4) 열단계수 T는 각각의 두께에 대하여 Merkle식에 의한 결과가 가장 높게 나타나며, Rice식, Simpson식, Yoon식에 의한 결과의 순으로 나타난다. 5) 열단계수 T는 각각의 단면의 두께에 대하여 동일한 J 적분식을 적용하였을 때 두께의 변화에 따라 거의 일정한 값을 나타내며, 이에 많은 대한 연구 검토가 요망된다

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THE q-ANALOGUE OF TWISTED LERCH TYPE EULER ZETA FUNCTIONS

  • Jang, Lee-Chae
    • 대한수학회보
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    • 제47권6호
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    • pp.1181-1188
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    • 2010
  • q-Volkenborn integrals ([8]) and fermionic invariant q-integrals ([12]) are introduced by T. Kim. By using these integrals, Euler q-zeta functions are introduced by T. Kim ([18]). Then, by using the Euler q-zeta functions, S.-H. Rim, S. J. Lee, E. J. Moon, and J. H. Jin ([25]) studied q-Genocchi zeta functions. And also Y. H. Kim, W. Kim, and C. S. Ryoo ([7]) investigated twisted q-zeta functions and their applications. In this paper, we consider the q-analogue of twisted Lerch type Euler zeta functions defined by $${\varsigma}E,q,\varepsilon(s)=[2]q \sum\limits_{n=0}^\infty\frac{(-1)^n\epsilon^nq^{sn}}{[n]_q}$$ where 0 < q < 1, $\mathfrak{R}$(s) > 1, $\varepsilon{\in}T_p$, which are compared with Euler q-zeta functions in the reference ([18]). Furthermore, we give the q-extensions of the above twisted Lerch type Euler zeta functions at negative integers which interpolate twisted q-Euler polynomials.

STRICT TOPOLOGIES AND OPERATORS ON SPACES OF VECTOR-VALUED CONTINUOUS FUNCTIONS

  • Nowak, Marian
    • 대한수학회지
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    • 제52권1호
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    • pp.177-190
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    • 2015
  • Let X be a completely regular Hausdorff space, and E and F be Banach spaces. Let $C_{rc}(X,E)$ be the Banach space of all continuous functions $f:X{\rightarrow}E$ such that f(X) is a relatively compact set in E. We establish an integral representation theorem for bounded linear operators $T:C_{rc}(X,E){\rightarrow}F$. We characterize continuous operators from $C_{rc}(X,E)$, provided with the strict topologies ${\beta}_z(X,E)$ ($z={\sigma},{\tau}$) to F, in terms of their representing operator-valued measures.

A Study on Longitudinal Phugoid Mode Affected by Application of Nonlinear Control Laws

  • Kim, Chong-Sup;Hur, Gi-Bong;Kim, Seung-Jun
    • International Journal of Aeronautical and Space Sciences
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    • 제8권1호
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    • pp.21-31
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    • 2007
  • Relaxed Static Stability (RSS) concept has been applied to improve aerodynamic performance of modern version supersonic jet fighter aircraft. The T-50 advanced supersonic trainer employs the RSS concept in order to improve the aerodynamic performance. And the flight control system stabilizes the unstable aircraft and provides adequate handling qualities. The T-50 longitudinal control laws employ a proportional-plus-integral type controller based on a dynamic inversion method. The longitudinal dynamic modes consist of short period with high frequency and phugoid mode with low frequency. The design goal of longitudinal control law is optimization of short period damping ratio and frequency using Lower Order Equivalent System (LOES) complying the requirement of MIL-F-8785C. This paper addresses phugoid mode characteristics such as damping ratio and natural frequency that is affected by the nonlinear control laws such as angle of attack limiter, auto pitch attitude command system and autopilot of pitch attitude hold.

터보 냉동기용 핀 튜브에 관한 연구(II) - 비등 열전달에 관하여 - (A Study on Finned Tube Used in Turbo Refrigerator(II) - on boiling heat transfer -)

  • 한규일;김시영;조동현
    • 수산해양교육연구
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    • 제5권2호
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    • pp.119-127
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    • 1993
  • This work studies for heat transfer and pressure drop performance of integral inner and outer fin tubes, designed to enhance the heat transfer performance of smooth tubes for in recipro and turbo refrigerator or high performance compact heat exchangers. Eight different inner spiral fin copper tubes with integral fin at outside surfaces were employed to improve boiling heat transfer coeffcient. For comparison, tests were made using a plain tube having the inside diameter and an outside diameter equal to that at the root of the fins for the finned tubes. Pool boiling heat transfer is investigated experimentally and theoretically on single tube arrangement. The refrigerant evaporates at a saturation state of 1 bar on the outside tube surface heated by hot water. The refrigerant R11 ($CFCl_3$) was used at a pressure of $P_s=1bar$ as a convenient test fluid with a boiling temperature of $T_s=23.6^{\circ}C$. The observed heat transfer enhancement of boiling for finned tubes significantly exceeded that to be expected on grounds of increased area. The maximum Vapor - side enhancement(i.e., vapor - side heat transfer coefficient of finned tube/vapor - side coefficient for plain tube) was found to be around 4 at 1299fpm - 30grooves tube.

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극동 아세아 컨테이너 항만의 능력평가에 관한 연구 (A Study on Evaluating the Ability of the Competitive Container Ports in Far-East Asia)

  • 이석태;이철영
    • 한국항만학회지
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    • 제7권1호
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    • pp.13-24
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    • 1993
  • The rapid progress of the intermodal freight transportation in recent years has induced fierce competition among the adjacent hub ports for container transport. This brings increased attention to the evaluation of the port competitive ability. But it is not easy to evaluate the port competitive ability because this belongs to ill-defined system which is composed of ambiguous interacting attributes. Paying attention to this point, this paper deals the competitive ability of container port in Far-East Asia by fuzzy integral evaluation which is adequate to interacting ambiguous attribute problem. For this, the proposed fuzzy evaluation algorithm is applied to the real problem, based on the factors such as cargo volumes, costs, services, infrastructure and geographical sites These are extracted from the precedent study of port competitive ability, etc. The results show that the port evaluation factors come in following order ; services, costs, infrastructure, geographical sites and cargo volumes. There are some interactions(interaction coefficient, ${\lambda}=-0.664$ between evaluation attributes. The port competitive ability comes in following order : Singapore, Hongkong, Kobe, Kaoshiung and Busan. According to the sensitivity analysis, the rank between Busan and Kaoshiung changes when ${\lambda}=0.7$. From the analysis of the results, we confirmed that the proposed fuzzy evaluation algorithm is very effective in the complex-fuzzy problem which is composed of hierarchical structure with interacting attributes.

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T-50 가로-방향축 비행제어법칙 설계 및 궤환이득의 변화에 따른 항공기 동특성에 관한 연구 (A Study on the Flight Control Law and the Dynamic Characteristic about Variation of Feedback Gains of T-50 Lateral-Directional Axis)

  • 김종섭;황병문;강영신
    • 제어로봇시스템학회논문지
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    • 제12권7호
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    • pp.621-630
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    • 2006
  • The T-50 advanced trainer aircraft combines advanced aerodynamic features and a fly-by-wire flight control system in order to produce a stability and highly maneuverability. The flight control system both longitudinal and lateral-directional axes to achieve performance enhancements and improve stability. The T-50 employs the RSS concept in order to improve the aerodynamic performance in longitudinal axis and the longitudinal control laws employ the dynamic inversion with proportional-plus-integral control method. And, lateral-directional control laws employ the blended roll system both beta-betadot feedback and simple roll rate feedback with proportional control method in order to guarantee aircraft stability. This paper details the design process of developing lateral-directional control laws, utilizing the requirement of MIL-F-8785C and MIL-F-9490D. And, this paper propose the analysis of aircraft characteristics such as dutch-roll mode, roll mode, spiral mode, gain and phase margin about gains for lateral-directional inner loop feedback.

크리프 균열개시 시간에 대한 구속효과 영향의 정량화 (Quantification of the Effect of Crack-Tip Constraint on Creep Crack Initiation Times)

  • 이승호;정현우;김윤재
    • 한국압력기기공학회 논문집
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    • 제16권2호
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    • pp.47-57
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    • 2020
  • A new elastic-plastic-creep constraint parameter is proposed to quantify the effect of constraint on creep crack initiation times. It represents the difference between the transient elastic-plastic-creep crack-tip opening stress and the Riedel-Rice opening stress field in plane strain, which can be determined analytically. Application of the proposed parameter to a large set of creep crack growth test data using C(T) and SEN(B) specimens of Type 316H stainless steel at 550℃ shows that creep crack initiation times can be more accurately characterized by the C⁎-integral together with the proposed parameter.

Development of Cleavage Fracture Toughness Locus Considering Constraint Effects

  • Chang, Yoon-Suk;Kim, Young-Jin;Ludwig Stumpfrock
    • Journal of Mechanical Science and Technology
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    • 제18권12호
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    • pp.2158-2173
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    • 2004
  • In this paper, the higher order terms in the crack tip stress fields are investigated macroscopically for more realistic assessment of structural material behaviors. For reactor pressure vessel material of A533B ferritic steel, effects of crack size and temperature have been evaluated using 3-point SENB specimens through a series of finite element analyses, tensile tests and fracture toughness tests. The T-stress, Q-parameter and q-parameter as well as the K and J-integral are calculated and mutual relationships are investigated also. Based on the evaluation, it has proven that the effect of crack size from standard length (a/W=0.53) to shallow length (a/W=0.11) is remarkable whilst the effect of temperature from -20$^{\circ}C$ to -60$^{\circ}C$ is negligible. Finally, the cleavage fracture toughness loci as a function of the promising Q-parameter or q-parameter are developed using specific test results as well as finite element analysis results, which can be applicable for structural integrity evaluation considering constraint effects.

응력확대계수와 J-적분 결정을 위한 코스틱스방법의 실험조건에 관한 연구 (Revisit on Experimental Conditions in Determination of Stress Intensity Factor and the J-Integral Using the Methods of Caustics)

  • 이억섭;조종두;홍성경
    • 대한기계학회논문집
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    • 제18권9호
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    • pp.2331-2338
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    • 1994
  • Experimental conditions of the optical shadow methods of caustics for measurement of the stress intensity factor and the J-integral in various materials(polycarbonate, PMMA, Al 5586D) are investigated. The necessary experimental requirements toe determine accurate values of the stress intensity factors and the J-integrals are described. The ratio of $r_o$ (radius of initial curve) to $r_p$ (plastic zone size) is selected as a parameter to verify the experimental limitation of the method of caustics in determination of fracture parameters. In this study, transmission caustics method was used for compact tension specimens made of polycarbonate and PMMA. while reflection caustics method was applied to c-shaped tension specimen made of Al 5586D. The appropriate ranges of $r_o/r_p$ tp determine accurate values of stress intensity factors were found to be 1.5~1.8. Existing experimental results have been obtained mainly by changing $r_p$ with different loads in $r_o/r_p$. However, in this study we could obtain varying $K_{caus}/K_{th}$ over the wide range of $r_o/r_p$ at fixed load conditions with newly designed optical arrangement. Thus, we could find the range in which theoretical and experimental results agree well each other by changing $r_o$ values only. In Al 5586D specimen, experimental caustics were located inside of the plastic zone, and $K_{caus}/K_{th}$ were found to be not unity in this range. It is found that $J_{caus}/J_{th}=1{\;}with{\;}r_o/t{\geq}0.8$ and the experimental plastic zone includes the contours of caustics.