• 제목/요약/키워드: $3^{rd}$ equation

검색결과 95건 처리시간 0.029초

한계상태식의 3차 다항식 근사를 통한 구조물 신뢰도 평가 (Structure Reliability Analysis using 3rd Order Polynomials Approximation of a Limit State Equation)

  • 이승규;김성찬;김태욱
    • 한국전산구조공학회논문집
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    • 제26권3호
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    • pp.183-189
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    • 2013
  • 본 논문에서는 불확실성을 확률변수로 가정하고 구조물의 파손기준을 한계상태식(Limit State Equation)으로 정의하였다. 한계상태식을 Fleishman의 3차 다항식으로 근사하고 이론적인 확률 모멘트(Moments)를 계산하였다. Fleishman은 표준정규 분포 확률변수에 대해서만 3차 다항식을 제시하였으나, 본 논문에서는 이를 확장하여 베타, 감마, 균일 분포 등 다양한 확률 변수에 적용하였다. 확률 모멘트를 계산하기 위해서 누률(Cumulants)과 정규화된 한계상태식을 활용하였으며, 피어슨 시스템(Pearson System)을 통해 한계상태식의 확률분포를 근사하였다.

전대수 다항식형 확률강우강도식의 최적차수 결정 및 회귀계수에 대한 유의성 검정 (Determination of optimal order for the full-logged I-D-F polynomial equation and significance test of regression coefficients)

  • 박진희;이재준
    • 한국수자원학회논문집
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    • 제55권10호
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    • pp.775-784
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    • 2022
  • 본 연구에서는 임의지속기간의 확률강우량 산정을 위해 실무에서 주로 사용되고 있는 전대수 다항식형 확률강우강도식의 최적차수 결정을 위하여 경상북도 내 9개 지점을 대상으로 확률강우량을 산정하고 전대수 다항식형 강우강도식의 회귀계수를 추정하였다. 추정된 지점별 다항식을 대상으로 단계선택법을 이용하여 각 지점별 다항식의 최적변수를 선정하고 선정된 변수들의 통계적 유의성을 검토하기 위하여 분산분석을 통한 유의성 검정을 실시하였으며, 이들 결과를 이용하여 각 지점별 통계적으로 적절하게 산정된 강우강도식을 제시하였다. 경북 9개 지점의 전대수 다항식형 강우강도식의 변수선정 결과는 6개 지점에서 1~3차식이 최적식으로 나타났고 1개 지점이 불완전 3차식이 최적식으로 나타났다. 그 중 1차는 Sherman 식, 2차는 General 식의 형태와 유사하므로 독립변수의 수를 증가시켜 적합도를 높이고 사용 편의를 위해 통일된 형태의 강우강도식으로 제시한다면 전대수 다항식형 강우강도식은 3차 회귀식까지만 고려하여도 통계학적으로 문제가 없는 것으로 판단된다.

공동주택의 건물외부조건과 에너지비용과의 관계분석 (Relation between the Building Exterior Conditions and Energy Costs in the Running period of the Apartment Housing)

  • 이강희;류승훈;이은택
    • KIEAE Journal
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    • 제9권1호
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    • pp.107-113
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    • 2009
  • The energy cost is resulted from the energy use. Its sources are divided into some types and depended on the building use or energy-use type. The energy cost should be affected by the amount of the energy use. The cost could be calculated to consider various factors such as the insulation, heating type, building shape and others. But it can not consider all of the affect factors to the energy cost and need to categorize the factors to the condition for estimating the cost. In this paper, it aimed at providing the estimation model in linear equation and multiple linear regression, utilizing the building exterior condition and management characteristics in apartment housing. Its survey are conducted in two parts of management characteristics and building exterior condition. The correlation analysis is conducted to get rid of the multicolinearity among the inputted factors. The number of linear equation model is 11 and includes the 1st, 2nd and 3rd equation function, power function and others. Among these, it suggested the 2nd and 3rd function and power function in terms of the statistics. In multiple linear regression model, the building volume and management area are inputted to the estimation.

흙댐의 밀도변화에 의한 압밀침하에 대한 연구 (A study on the settlement of earth dam by the changes of the density)

  • 윤충섭
    • 한국농공학회지
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    • 제28권3호
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    • pp.89-98
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    • 1986
  • This study was carried out for the settlement and camber of earth dam by the changes of the density. The testing material was taken five kinds of Soil used as banking material and it was compacted by 100, 95, 90, 85 and 80% compaction degree. The results of the settlement of earth dam whose height ranges from 10m to 50m are as follows. 1.The more the fine particle (n) increases, the higher the liquid limit (WL) and the lower the dry density (rd) becomes as follows; rd=2. 22-0. 0052n (gr/cm$_3$) rd=2. 394-0. 0164WL rd=2. 185-(5. 8n-2. 5WL)X10-$_3$ 2. The higher the optimum moisture content (Wo) becomes, the lower the density becomes as follows; rt,=2. 68-0. 028Wo rd=2. 578-0. 04Wo 3. 3.Most of the consolidation occurs immediately by loading and the more the fine particle increases, the lower the coefficient of consolidation becomes. 4.The more the fine particle increases and lower the compaction degree (D) becomes,the lower the pre-consolidation load (Pc) becomes but on the contrary the compression index (Cc) becomes higher. Those equation is as follows. Pc=3. 32-(4. 3n-3. 0D) X10-2 (kg/cm$^2$) Cc=0. 41+(1. 33n-4. 44D) X10-$^3$ 5.The more the consolidation load (P) increases, the lower the coefficient of volume change (mv) becomes with mv=ap-b, the higher the consolidation ratio (u) becomes with U= (0. 6~1. 35)PO.4 6.The more the fine particle (n) increases, the more the settlement of dam occurs with U=anb and 60-80% of the settlement occurs under construction. 7.The camber of dam has higher value in condition that has more fine particle, poorer compaction and higher height of dam. In the dam construction about twice value of table 7 is required for dam safety.

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2.3차 산업 융합 농장의 고객 만족 요인 분석 (An analysis on enhancement of customer satisfaction for conversion farm with $2^{nd}$ and $3^{rd}$ industry)

  • 장현동;김성훈
    • 농업과학연구
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    • 제38권4호
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    • pp.769-774
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    • 2011
  • This study aimed at finding the factors impacting customer satisfaction (CS) for conversion farm with $2^{nd}$ and $3^{rd}$ industry, because the most important thing in the conversion farm is enhancing customer satisfaction. The data on CS from 173 pumpkin farm's customers by on-line survey were gathered. The analysis using structural equation model with Amos was carried out. Product, service and purchasing were determined as 3 factors impacting to CS. The result showed that purchasing is the biggiest contributor to CS. It means the customers using on-ine market are very sensitive to farm's brand and logistics. It is also found that conversion with processing and farm experience activity is definitely affecting to building customer's trust. In conclusion, making efforts on enhancing CS in conversion farm is the key to success.

라그랑주의 방정식론 (Lagrange and Polynomial Equations)

  • 고영미;이상욱
    • 한국수학사학회지
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    • 제27권3호
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    • pp.165-182
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    • 2014
  • After algebraic expressions for the roots of 3rd and 4th degree polynomial equations were given in the mid 16th century, seeking such a formula for the 5th and greater degree equations had been one main problem for algebraists for almost 200 years. Lagrange made careful and thorough investigation of various solving methods for equations with the purpose of finding a principle which could be applicable to general equations. In the process of doing this, he found a relation between the roots of the original equation and its auxiliary equation using permutations of the roots. Lagrange's ingenious idea of using permutations of roots of the original equation is regarded as the key factor of the Abel's proof of unsolvability by radicals of general 5th degree equations and of Galois' theory as well. This paper intends to examine Lagrange's contribution in the theory of polynomial equations, providing a detailed analysis of various solving methods of Lagrange and others before him.

소형 Haripin 공진기를 이용한 K 대역 Push-Push형 발진기 (The K-band push-push type miniaturized haripin resonator oscillator)

  • 주한기
    • 한국통신학회논문지
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    • 제22권5호
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    • pp.967-973
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    • 1997
  • In this paper, the designed and fabrication of a K-band push-push oscillator using miniaturized hairpin resonator have been presented. One experimenal oscillator has been designed and fabricated for K-band point-to-point operation. the miniaturized harpin resonator has been analyzed theoretically and simulated by MPIE(Mixed Potential Integral Equation) method. With this results, the analysis of hairpin resonator which coupled microstrip line has been carried out with transmission-mode using this results. an optimized output matching network for the suppression of the fundamental and the 3rd order harmonic was acquired by using a nonlinear analysis method. The fabricated oscillator shows the output power of -2.28dBm, the fundamental frequency suppression of -19dBc, the 3rd order harmonic suppressionof -24dBc and 0.33 percent effiiency at 22.8GHz. The experimental outputs are in good agreement with the theoretical and simulated results.

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액체크로마토그래피에서 머무름거동에 대한 새로운 용해도파라미터 (A New Solubility Parameter for Retention Behavior in Liquid Chromatography)

  • 오대섭;이선행;김수한;김상태
    • 대한화학회지
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    • 제32권5호
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    • pp.458-463
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    • 1988
  • 역상 액체크로마토그래피법으로 페놀류에 대한 분리현상을 용해도파라미터이론에 의해 알아 본 결과 예측한 용리거동이 제한된 범위내에서만 일치하고 있었다. 이 용해도 파라미터이론에 의한 용리현상의 설명은 실제 실험의 결과와 상당히 상이하게 나타났고 많은 예외가 있었다. 그러므로 새로운 용질-용매상호작용파라미터 ${\delta}_{im}$ 을 첨가하여 실제 실험값에 가까운 용해도파라미터 이론식으로 수정하였다. 이 새로운 용질-용매상호작용파라미터, ${\delta}_{im}$ 는 용매의 종류, 용매분율과 용질의 구조에 의존하고 있으며 이 파라미터, ${\delta}_{im}$와 혼합이동상의 용해도파라미터, ${\delta}_{im}$ 와는 직선의 관계가 있었다. 이것은 머무름거동을 예측하는데 이전의 Schoenmakers의 식보다 더 좋은 결과로 나타났다.

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${\lambda}=1.55{\mu}m$에서 극저분산을 갖는 사중-클래드 평탄분산 광섬유의 설계 (Design of quadruple-clad, dispersion-flattened optical fibers with ultra-low dispersion at ${\lambda}=1.55{\mu}m$)

  • 정석원;김창민
    • 전자공학회논문지A
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    • 제32A권8호
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    • pp.140-152
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    • 1995
  • Derived was the scalar wave equation of optical fibers. Based on the derived equation, the dispersion characteristics of arbitrarily profiled fibers were analyzed. We applied the 1-D FEM employing quadratic interpolation fucntions to solve the scalar wave equation. To find the optimum index distribution of a fiber that has the ultra-low total dispersion, we analyzed QC fibers as objects. Adding 2$_{nd}$ and 3$_{rd}$ clads to DC fiber, we investigated the change of dispersion characteristics. We found the QC fiber parameters for which the dispersion was ultra-low flattened, less than 0.5 ps/km.nm for ${\lambda}=1.4~1.6{\mu}m$, and the dispersion value was as low as 0.20 ps/km.nm at ${\lambda}=1.55{\mu}m$.

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차륜과 철로의 연성진동에 관한 연구 (A study on the coupled vibration of train wheel and rail)

  • 김광식;김찬묵;윤희욱
    • 대한기계학회논문집
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    • 제13권3호
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    • pp.385-396
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    • 1989
  • 본 논문에서는 차륜과 레일의 접촉부에서 발생하는 크리프힘과 크리프모멘트 를 결합시키고 이들이 병진스프링과 비틀림스프핑에 의해서 연성되었을때 생기는 고유진동수의 특성을 차륜과 레일의 직교성을 이용하여 수치해석하고 모델실험을 통하여 연구하였다.