• Journal of applied mathematics & informatics
• /
• 제35권1_2호
• /
• pp.75-82
• /
• 2017

In this paper, we investigate the proper shape and location of the maximum curve of transcendental entire functions $e^{az^2+bz+c}$. We show that the alpha curve of $e^{az^2+bz+c}$ is a subset of a rectangular hyperbola, and the maximum curve is the connected set originating from the origin as a subset of the alpha curve.

• 한국지진공학회논문집
• /
• 제20권7_spc호
• /
• pp.485-494
• /
• 2016

The risk-based assessment, also called time-based assessment of structure is usually performed to provide seismic risk evaluation of a target structure for its entire life-cycle, e.g. 50 years. The prediction of collapse probability is the estimator in the risk-based assessment. While the risk-based assessment is the key in the performance-based earthquake engineering, its application is very limited because this evaluation method is very expensive in terms of simulation and computational efforts. So the evaluation database for many archetype structures usually serve as representative of the specific system. However, there is no such an assessment performed for building stocks in Korea. Consequently, the performance objective of current building code, KBC is not clear at least in a quantitative way. This shortcoming gives an unresolved issue to insurance industry, socio-economic impact, seismic safety policy in national and local governments. In this study, we evaluate the comprehensive seismic performance of an low-rise residential buildings with discontinuous structural walls, so called piloti-type structure which is commonly found in low-rise domestic building stocks. The collapse probability is obtained using the risk integral of a conditioned collapse capacity function and regression of current hazard curve. Based on this approach it is expected to provide a robust tool to seismic safety policy as well as seismic risk analysis such as Probable Maximum Loss (PML) commonly used in the insurance industry.

• 한국산학기술학회논문지
• /
• 제11권7호
• /
• pp.2708-2712
• /
• 2010

아민(암모니아 또는 MPA)은 가압경수로 원전 2차측 부식을 방지하는 최적 pH를 유지하기 위해 사용되고, 온도가 동일하게 유지되지 않는 물-증기 순환 영역에서 모든 아민은 평형상수에 따라 2차측에서 서로 다른 pH를 나타낸다. 부식제어에서 pH는 유일한 인자가 아니므로 두 번째 변수, 즉 불순물의 유입 또는 부식 반응으로 인해 $H^+$가 추가되거나 제거되었을 때 안정된 pH를 지속하는 능력인 완충세기의 고려가 필요하다. 온도를 고려한 완충세기는 2차측 최적 pH 제어제 선정과 유체가속부식의 특징을 기본적으로 이해할 수 있도록 한다. PWRs의 전체 운전범위에서 암모니아와 MPA의 완충세기를 조사하였다. 낮은 온도$(25{\sim}100^{\circ}C)$에서는 암모니아 그리고 높은 온도$(150{\sim}250^{\circ}C)$에서는 MPA가 부식 억제를 위한 충분한 완충세기를 나타내었다. 완충세기 측면에서, i) 최적 pH 제어제 pH 범위는 pH(T)- $1{\leq}pK_a(T){\leq}pH(T)$+0.5, ii) 아민 용액은 부식 억제를 위해 충분한 완충세기$({\beta})$를 가져야하고, iii) 최대 유체가속부식은 ${\beta}_B/{\beta}$ 비율이 최저인 온도에서 최대를 나타낸다.