• Title/Summary/Keyword: associated curve

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Stability of Analytical Fragility Curve of Bridge on Earthquake (지진의 변화에 따른 교량의 해석적 손상도 곡선의 안정성)

  • Lee, Jong-Heon;Lee, Soo-Choul
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.13 no.2 s.54
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    • pp.145-152
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    • 2009
  • In performing a risk analysis on structure for earthquake, it is imperative to identify the vulnerability of structures associated with various stages of damage. And the earthquake resisting capability is needed for structures like bridge. So the damage analysis of bridges with or without isolator for earthquake effects is necessary. In this paper, the risk analysis of seismic isolated LRB bridges considering earthquake effects such as PGA, PGV, SA, SV, and SI is performed using fragility curves to assure the earthquake resisting capability of the structures. And, the stability of fragility curve is investigated with respect to input earthquake.

TORSION POINTS OF ELLIPTIC CURVES WITH BAD REDUCTION AT SOME PRIMES II

  • Yasuda, Masaya
    • Bulletin of the Korean Mathematical Society
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    • v.50 no.1
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    • pp.83-96
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    • 2013
  • Let K be a number field and fix a prime number $p$. For any set S of primes of K, we here say that an elliptic curve E over K has S-reduction if E has bad reduction only at the primes of S. There exists the set $B_{K,p}$ of primes of K satisfying that any elliptic curve over K with $B_{K,p}$-reduction has no $p$-torsion points under certain conditions. The first aim of this paper is to construct elliptic curves over K with $B_{K,p}$-reduction and a $p$-torsion point. The action of the absolute Galois group on the $p$-torsion subgroup of E gives its associated Galois representation $\bar{\rho}_{E,p}$ modulo $p$. We also study the irreducibility and surjectivity of $\bar{\rho}_{E,p}$ for semistable elliptic curves with $B_{K,p}$-reduction.

Evaluation of Material Properties for Yonggwang Nuclear Piping Systems (III) - Main Steam System - (영광원자력 배관소재의 재료물성치 평가 (III) -주증기계통-)

  • 김영진;석창성;김종욱
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.6
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    • pp.1460-1468
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    • 1995
  • The objective of this paper is to evaluate the material properties of SA106 Gr. C carbon steel and its associated weld manufactured for main steam system of Yonggwang 3,4 nuclear generating stations. A total of 43 tensile and 35 fracture toughness tests were performed and the effects of various parameters such as pipe size, crack plane orientation, test temperature, welding on material properties were discussed. Test results show that the effects of crack plane orientation, test temperature, and welding on fracture toughness were significant while the effects of pipe size, specimen orientation and test temperature on tensile properties were negligible. Especially the dependence of J-R curves on the crack plane orientation appears to be the characteristics of carbon steel.

Evaluation of Material Properties for Yonggwang Nuclear Piping Systems(II) - Safety Injection System- (영광원자력 배관소재의 재료물성치 평가 (II) -안전주입계통-)

  • 김영진;석창성;장윤석
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.6
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    • pp.1451-1459
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    • 1995
  • The objective of this paper is to evaluate the material properties of SA312 TP316 and SA312 TP304 stainless steels and their associated welds manufactured for safety injection system of Yonggwang 3,4 nuclear generating stations. A total of 62 tensile tests and 46 fracture toughness tests were conducted and the effects of various parameters such as pipe size, crack plane orientation, tests were conducted and the effects of various parameters such as pipe size, crack plane orientation, test temperature, welding on material properties were discussed. Test results show that the effect of test temperature on fracture toughness was significant while the effects of pipe size and crack plane orientation on fracture toughness were negligible. Fracture toughness of the weld metal was in general higher than that of the base metal.

Study of Buckling Evaluation for the connecting rod of the engine (엔진 커넥팅로드의 좌굴평가에 대한 연구)

  • 이문규;문희욱;이형일;이태수;신성원;장훈
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2004.10a
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    • pp.677-680
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    • 2004
  • This study investigates the buckling evaluation of connecting rods used in the diesel engine through finite element analysis. The Rankine formula, which is modified from classical Euler‘s formula, has been widely accepted in automotive industry to evaluate the buckling of connecting rods. Apparently, this formula is most suitable for the straight and idealized rod shape, and over-simplifies the geometric complexity associated with connecting rods. The subspace iteration method in FEA is used to predict the critical buckling stress of a connecting rod with certain slenderness ratio. To create models with various slenderness ratios for shank portion in the rod, the automatic meshing preprocessor was implemented. Results from FEA were verified by the experiments, in which the embedded strain gages measured for the connecting rod running at 4000rpm. The result indicates that the buckling prediction curve through FEA and experiment is effectively different from the curve of classical Rankine formula.

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Evaluation of Material Properties for Yonggwang Nuclear Piping System(I)-Shutdown Cooling System- (영광원자력 배관소재의 재료물성치 평가 (1)-정지냉각계통-)

  • 석창성;최용식;장윤석;김종욱
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.5
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    • pp.1106-1116
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    • 1994
  • Leak Before Break(LBB) design concept is applied to piping systems of newly-built Yonggwang 3, 4 nuclear generating stations as a design alternative to the provision of pipe whip restraints, in recognition of the questionable benefits of providing such restraints. The objective of this paper is to evaluate the material properties (tensile and fracture toughness) of SA312 TP316 stainless steel and their associated welds manufactured for shutdown cooling system of Yonggwang 3, 4 nuclear generating stations. Effect of various parameters such as specimen orientation, test temperature, welding on material properties were examined.

ON TRIANGLES ASSOCIATED WITH A CURVE

  • Kim, Dong-Soo;Kim, Dong Seo;Kim, Young Ho
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.3
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    • pp.925-933
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    • 2015
  • It is well-known that the area of parabolic region between a parabola and any chord $P_1P_2$ on the parabola is four thirds of the area of triangle ${\Delta}P_1P_2P$. Here we denote by P the point on the parabola where the tangent is parallel to the chord $P_1P_2$. In the previous works, the first and third authors of the present paper proved that this property is a characteristic one of parabolas. In this paper, with respect to triangles ${\Delta}P_1P_2PQ$ where Q is the intersection point of two tangents to X at $P_1$ and $P_2$ we establish some characterization theorems for parabolas.

수직형 마이크로 자이로스코프의 연성 진동과 영점 출력

  • 이승엽;전도영;김택현
    • Journal of KSNVE
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    • v.10 no.5
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    • pp.880-885
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    • 2000
  • In a verical type, vibratory gyroscope, the coupled motion between the reference and sensing vibrations causes the zero-point output which means non-zero sensing vibration without angular velocity. This structural coupling leaks to an inherent discrepancy between the natural frequencies of the reference and sensing oscillations, causing the degradation of the sensing performance and dynamic stability. In this paper, the dynamic characteristics associated the coupling phenomenon are theoretically analyzed. Effects of reference frequency and coupling factor on the rotational direction and amplitude of elliptic oscillation are studied. A technique to predict the existence of curve veering of crossing in frequency trajectories is introduced to apply the design of micro gyroscopes with decoupled structures.

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Reconfiguration of the Power Mix in Korea with the Introduction of Shale Gas and Analysis of Its Impact on Atmospheric Environment (셰일가스 도입으로 인한 전원믹스 재구성 및 환경 영향 분석)

  • Choi, Narae;Yeo, Minjoo;Kim, Yong Pyo
    • Particle and aerosol research
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    • v.10 no.1
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    • pp.19-25
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    • 2014
  • In line with the expected price reduction of natural gas associated with the introduction of shale gas, it is expected that the optimal power mix for the electric power generation be changed. In this study, the reconfigured power mix is estimated with the varying natural gas price by using the Screening Curve Method (SCM). It is found that about 3% and 9% coal in the overall power mix is replaced with natural gas if the natural gas price falls 20% and 40% of the current price, respectively. It is also found that the reconfigured power mixes would provide the reduction of the emissions of air pollutants which are equivalent to 369 and 807 MUS$.

AREA PROPERTIES ASSOCIATED WITH STRICTLY CONVEX CURVES

  • Bang, Shin-Ok;Kim, Dong-Soo;Kim, Incheon
    • Bulletin of the Korean Mathematical Society
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    • v.59 no.2
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    • pp.407-417
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    • 2022
  • Archimedes proved that for a point P on a parabola X and a chord AB of X parallel to the tangent of X at P, the area of the region bounded by the parabola X and the chord AB is four thirds of the area of the triangle ∆ABP. This property was proved to be a characteristic of parabolas, so called the Archimedean characterization of parabolas. In this article, we study strictly convex curves in the plane ℝ2. As a result, first using a functional equation we establish a characterization theorem for quadrics. With the help of this characterization we give another proof of the Archimedean characterization of parabolas. Finally, we present two related conditions which are necessary and sufficient for a strictly convex curve in the plane to be an open arc of a parabola.