• 제목/요약/키워드: rational formula

검색결과 87건 처리시간 0.022초

한의학(韓醫學)의 전망(展望)과 우리의 역할(役割) (A Personal Perspective and Our Role in Korean Oriental Medicine)

  • 강순수
    • 대한한의학방제학회지
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    • 제10권2호
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    • pp.1-4
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    • 2002
  • The development of Korean Oriental medicine is based upon the accumulation of experience and knowledge gathered over the centuries. The approaches taken are holistic and empirical. There is a need to understand their actions at molecular levels with more rational, objective and scientific studies. Today it appears that Chronic and age-associated diceases may be multifactorial and hence more complex. A different approach may be required. One claimed usage of Korean Oriental medicine is for the treatment and prevention of chronic and age-associated illnesses. Some of the botanical formulas used for this purpose were discovered thousands of years ago and continue to be used today. There are indications that these formulas may indeed be helpful in the treatment or prevention of chronic diseases. This multi-component medicine could not only be very useful meeting the unmet clinical needs but for defining a more synergistic therapy that supports and maintains the bodies natural curative abilities. The potential usefulness of Korean Oriental medicine embodies the belief of maintaining healthy homeostasis of the body through the proper balance of a mixture of chemical at different organs or tissues. This concept is different from western medicine and implies that multiple compounds may act on multiple mechanisms of action to maintain the balance of the complex web of biology. This is very important in view of sciences current direction to integrate fragmented information to develop future medicines. The western and eastern approaches to human health and disease are complementary to each other. The best approach in developing future medicines is to integrate both approaches.

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위험도를 고려한 최소비용 도시우수관망 설계의 최적화 모형개발 (I): 모형의 개발과 시험유역의 적용 (Development of Optimal Design Simulation Model for Least Cost Urban Sewer System Considering Risk (I))

  • 장석환;박상우
    • 한국수자원학회논문집
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    • 제38권12호
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    • pp.1021-1028
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    • 2005
  • 본 연구는 도시 우수관망 설계 시 주어진 설계유랑을 효율적이고 경제적인 단면 구성과 관망에 따른 우수배제능력을 극대화시키기 위해 최적화된 설계를 통하여 경제적인 우수시스템을 설계할 수 있는 모형의 개발이 이루어져야 할 필요성이 있다. 이에 본 연구에서는 최적화 기법으로 동적계획법(Dynamic Programming : DP)의 특수한 방법인 이산미분형 동적계획법(Discrete Differential Dynamic Programming : DDDP)를 이용해 최적화된 설계조건을 구할 수 있도록 하였다. 이산미분형 동적계획법의 기법은 설계유랑과 맨홀의 위치가 결정되면 그에 따른 최적 우수시스템이 될 수 있는 관의 용량, 경사, 수위, 수심, 위험도, 회수비용 등을 결정할 수 있는 방법으로 이는 공사비용에 따른 최소비용을 목적함수로 위험도 분석을 통하여 최적화된 조건을 찾는 방법으로 모형개발을 하였다.

유역특성(流域特性)과 홍수도달시간(洪水到達時間)과의 상관해석(相關解析) (Analysis on Relations between Travel time and Watershed Characteristics)

  • 서승덕;임규동
    • Current Research on Agriculture and Life Sciences
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    • 제5권
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    • pp.158-167
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    • 1987
  • The purpose of this study is to inquire and analyse the relation between traveltime (Tc) and watetshed physical characteristics surveyed such as river length (L), Lea, river main slope (s), base length of time area diagram, and storage constant (k). The results obtained in this study are as follows. The average widths of watersheds were with the range from 4.6 kilometers to 16.7 kilometers. The shape factors of main stream ranged from 0.08 to 0.37. The average slopes to main 8tream were within the range of 1.7-5.5 meter per kilometer. The relation between the base length and traveltime from S. C. S. method, Rational method, and RZIHA+KRAVEN method were derived $Tc=0.524{\times}1.35^c$ (r=0.98), $Tc=0.628{\times}1.339^c$, (r=0.98), $Tc=0.667{\times}1.342^c$ (r=0.97). The base length of the time-area diagram (c) for the IUH was derived as $c=0.9(\frac{L.L_{ca}}{\sqrt{s}})^{0.35}$ and correlation coefficient was 0.98 which defined a high significance. The storage constant K, derived in this study was $K=8.32+0.0213{\frac{L}{\sqrt{s}}}$ with correlation coefficient (0.96). The relation between storage Constant and conventional formula were figured out $Tc=0.0003{\times}3.323^k$ (r=0.97). $Tc=0.00045{\times}3.268^k$ (r=0.99) and $Tc=0.0004{\times}3.26^k$ (r=0.963). The base length (c) and storage constant (k) of time-Area Diagram were very important parts that determined traveltime for flood events. In the estimate of travel time for predicting flood volume, the formula of $Tc=0.524{\times}1.35^c$ that would be available to apply the Nak - Dong river watershed area and homogeneous watershed characteristics was found.

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하천의 유황에 관한 수문학적 연구 (A Hydrological Study on the Flow Characteristic of the Keum River)

  • 박성우
    • 한국농공학회지
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    • 제16권2호
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    • pp.3438-3453
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    • 1974
  • Unmeasured value of water for human lives is widely approved, but the water as one of natural resources cannot be evaluated with ease since it changes itself ceaselessly by flowing-out or transforming the phase. Major objectives of the study concerned consequently with investigating its potentiality and evaluating its time seriesly availabity in a volumatic unit. And the study was performed to give the accurate original data to the planners concerned. Some developed rational methods of predicting runoff related to hydrological factors as precipitation, were to be discusseed for their theorical background and to be introduced whether they needed some corrections or not, comparing their estimation with actual runoff from synthetic unit-hydrograph methods. To do so, the study was performed to select Kongju Station, located at the watershed of the Keum River, and to collect such hydrological data from 1962 to 1972 as runoff, water level, precipitation, and so on. On the other hand, the hydrological characteristics of runoff were concluded more reasonably in numerical values, with calculating the the ratio of daily runoff to annual discharge of the flow in percentage, as. the distribution ratio of runoff. The results of the study can be summarized as follows; (1) There needed some consideration to apply the Kajiyama's Formula for predicting monthly runoff of rivers in Korea.(2) The rational methods of predicting runoff might be recommended to become less theorical and reliable than the unique analyzation of data concerned in each given water basin. The results from the Keum River prepared above would be available to any programms concerned. (3) The most accurate estimation for runoff could be suggested to synthetic unithydrograph methods calculated from the relation between each storm and runoff. However it was not contained in the study. (4) The relations between rainfall and runoff at KongJu Station were as following table. The table showed some intersting implications about the characteristics of runoff at site, which indicated that the runoff during three months from July to September approached total of 60% of quantity while precipitation concentrated on the other three from June to August. And there were some months which had more amount of runoff than expected values calculated from the precipitation, such as Febrary, March, August, September, Octover, and December, shown in the table. Such implications should be suggested to meet any correction factors in the future formulation concerned with the subjects, if any rational methods would be required.

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Vibration behavior of large span composite steel bar truss-reinforced concrete floor due to human activity

  • Cao, Liang;Li, Jiang;Zheng, Xing;Chen, Y. Frank
    • Steel and Composite Structures
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    • 제37권4호
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    • pp.391-404
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    • 2020
  • Human-induced vibration could present a serious serviceability problem for large-span and/or lightweight floors using the high-strength material. This paper presents the results of heel-drop, jumping, and walking tests on a large-span composite steel rebar truss-reinforced concrete (CSBTRC) floor. The effects of human activities on the floor vibration behavior were investigated considering the parameters of peak acceleration, root-mean-square acceleration, maximum transient vibration value (MTVV), fundamental frequency, and damping ratio. The measured field test data were validated with the finite element and theoretical analysis results. A comprehensive comparison between the test results and current design codes was carried out. Based on the classical plate theory, a rational and simplified formula for determining the fundamental frequency for the CSBTRC floor is derived. Secondly, appropriate coefficients (βrp) correlating the MTVV with peak acceleration are suggested for heel-drop, jumping, and walking excitations. Lastly, the linear oscillator model (LOM) is adopted to establish the governing equations for the human-structure interaction (HSI). The dynamic characteristics of the LOM (sprung mass, equivalent stiffness, and equivalent damping ratio) are determined by comparing the theoretical and experimental acceleration responses. The HSI effect will increase the acceleration response.

도시지역의 최적 배수관망 설계를 위한 Risk Safety Factor 관계의 설정 (Derivation of the Risk-Safety Factor Relation for Optimal Storm Sewer Design in Urban Area)

  • 김문모;이원환;조원철
    • 대한토목학회논문집
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    • 제12권4호
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    • pp.129-134
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    • 1992
  • 본 논문은 도시유역의 최적 배수관망설계를 위한 위험도-안전도계수 관계를 설정하는 것이다. 배수관망의 신뢰도 분석을 위하여는 하수관의 용량과 하중을 결정하는 식을 구성하는 여러가지 매개변수들의 불확실성이 고려되어야 하며, 이에 따른 위험도를 결정하게 된다. 본 연구에서는 신뢰도 분석기법을 유역면적 $381,000m^2$인 성산 유수지 유역에 적용하였다. 하수관망의 용량을 결정하는 식으로는 Darcy-Weisbach식을, 하중을 결정하는 식으로는 합리식을 사용하였으며, 하수관의 용량과 설계유량과의 비로 나타나는 안전도계수를 구하여 이를 하수관망의 위험도와 상관시켰다. 이에 따라 재현기간별 위험도-안전도계수를 얻었으며, 이는 배수관망의 최적설계에 이용될 수 있다.

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Behavior of polygonal concrete-filled steel tubular stub columns under axial loading

  • Zhang, Tao;Ding, Fa-xing;Wang, Liping;Liu, Xue-mei;Jiang, Guo-shuai
    • Steel and Composite Structures
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    • 제28권5호
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    • pp.573-588
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    • 2018
  • The objective of this paper is to investigate the mechanical performances of polygonal concrete-filled circular steel tubular (CFT) stub columns under axial loading through combined experimental and numerical study. A total of 32 specimens were designed to investigate the effect of the concrete strength and steel ratio on the compressive behavior of polygonal CFT stub columns. The ultimate bearing capacity, ductility and confinement effect were analyzed based on the experimental results and the failure modes were discussed in detail. Besides, ABAQUS was adopted to establish the three dimensional FE model. The composite action between the core concrete and steel tube was further discussed and clarified. It was found that the behavior of CFT stub column changes with the change of the cross-section, and the change is continuous. Finally, based on both experimental and numerical results, a unified formula was developed to estimate the ultimate bearing capacity of polygonal CFT stub columns according to the superposition principle with rational simplification. The predicted results showed satisfactory agreement with both experimental and FE results.

ON THE MODULAR FUNCTION $j_4$ OF LEVEL 4

  • Kim, Chang-Heon;Koo, Ja-Kyung
    • 대한수학회지
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    • 제35권4호
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    • pp.903-931
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    • 1998
  • Since the modular curves X(N) = $\Gamma$(N)\(equation omitted)* (N =1,2,3) have genus 0, we have field isomorphisms K(X(l))(equation omitted)C(J), K(X(2))(equation omitted)(λ) and K(X(3))(equation omitted)( $j_3$) where J, λ are the classical modular functions of level 1 and 2, and $j_3$ can be represented as the quotient of reduced Eisenstein series. When N = 4, we see from the genus formula that the curve X(4) is of genus 0 too. Thus the field K(X(4)) is a rational function field over C. We find such a field generator $j_4$(z) = x(z)/y(z) (x(z) = $\theta$$_3$((equation omitted)), y(z) = $\theta$$_4$((equation omitted)) Jacobi theta functions). We also investigate the structures of the spaces $M_{k}$($\Gamma$(4)), $S_{k}$($\Gamma$(4)), M(equation omitted)((equation omitted)(4)) and S(equation omitted)((equation omitted)(4)) in terms of x(z) and y(z). As its application, we apply the above results to quadratic forms.rms.

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AFOSM 방법에 의한 하수관망의 신뢰성 분석 (Reliability Analysis of Storm Sewer System by AFOSM Method)

  • 김문모;이원환;조원철
    • 대한토목학회논문집
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    • 제13권2호
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    • pp.201-209
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    • 1993
  • 본 연구는 하수관망의 신뢰성을 분석하기 위한 것으로, AFOSM 방법의 적용성을 판단하기 위해 이 기법을 신정유수지 유역에 적용하였다. 파괴점을 찾기 위한 방법으로는 비선형성에 의한 오차를 줄일 수 있는 Rackwitz Algorithm을 이용하였다. 위험도를 산정하는데 필요한 실행함수를 설정하기 위해 하중을 결정하는 데는 합리식을 사용하였고, 용량을 결정하는 식으로는 Manning의 식과 Darcy-Weisbach 식의 2가지를 이용하여 위험도를 구하였으며, 위험도는 각각 0.119, 0.127로 나타났다. 또한, 재현기간별 Risk-Safety Factor 관계를 유도하여 신뢰성 분석에 기초한 하수관망의 설계를 할 수 있도록 하였다.

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Minimum life-cycle cost design of ice-resistant offshore platforms

  • Li, Gang;Zhang, Da-Yong;Yue, Qian-Jin
    • Structural Engineering and Mechanics
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    • 제31권1호
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    • pp.11-24
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    • 2009
  • In China, the oil and natural gas resources of Bohai Bay are mainly marginal oil fields. It is necessary to build both ice-resistant and economical offshore platforms. However, risk is involved in the design, construction, utilization, maintenance of offshore platforms as uncertain events may occur within the life-cycle of a platform under the extreme ice load. In this study, the optimum design model of the expected life-cycle cost for ice-resistant platforms based on cost-effectiveness criterion is proposed. Multiple performance demands of the structure, facilities and crew members, associated with the failure assessment criteria and evaluation functions of costs of construction, consequences of structural failure modes including damage, revenue loss, death and injury as well as discounting cost over time are considered. An efficient approximate method of the global reliability analysis for the offshore platforms is provided, which converts the implicit nonlinear performance function in the conventional reliability analysis to linear explicit one. The proposed life-cycle optimum design formula are applied to a typical ice-resistant platform in Bohai Bay, and the results demonstrate that the life-cycle cost-effective optimum design model is more rational compared to the conventional design.