• Title/Summary/Keyword: limit index

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흙의 비배수전단강도가 0이 되는 함수비인 흐름한계의 제안 (A Proposal of Flow Limit for Soils at Zero Undrained Shear Strength)

  • 박성식;농쩐쩐
    • 한국지반공학회논문집
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    • 제29권11호
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    • pp.73-84
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    • 2013
  • 사면 내 토사가 붕괴되거나 토석류가 발생하는 경우 파괴면에 작용하는 전단강도는 0에 가깝게 되면서 토사가 비점성 액체와 같이 유동한다. 점성토는 함수비 증가에 따라 그 연경도가 달라지며 액체상태로 바뀌는 액성한계에서 도 약간의 전단강도를 가진다. 본 연구에서는 점성토의 전단강도가 0이 되어 흐름을 유발하는 함수비를 찾고자 하였 다. 카올리나이트, 벤토나이트, 그리고 카올리나이트(50%)+벤토나이트(50%)와 같은 세 종류의 점토에 혼합수로 증류 수, 해수, 또는 미생물용액을 혼합하여 액성한계 상태로 만든 다음 함수비를 단계적으로 증가시키면서 토베인 시험기 를 이용하여 비배수전단강도를 측정하였다. 액성한계와 소성한계에서 비배수전단강도의 범위는 각각 3.6-9.2kPa와 24-45kPa 정도이었다. 한편 측정 결과로부터 비배수전단강도가 급격하게 변화하는 값에 해당하는 함수비를 흐름함수 비(Flow Water content)로 정의하였으며, 비배수전단강도가 0이 될 때의 함수비를 흐름한계(Flow Limit)로 정의하였다. 그리고 흐름한계와 액성한계의 상관관계를 살펴보기 위하여 흐름한계와 액성한계의 차이를 점성지수(Cohesive Index) 로 정의하였다. 또한 흐름한계와 소성한계의 차이를 새로운 소성지수(New Plasticity Index)로 정의하였으며, 흐름한계를 이용하여 새로운 액성지수(New Liquidity Index)도 정의하였다. 흐름한계(Flow Limit)는 액성한계보다 1.5-2배 정도 높은 값을 보였으며, 새로운 소성지수는 기존 소성지수보다 2-5.5배 정도 높았다.

Reliability index for non-normal distributions of limit state functions

  • Ghasemi, Seyed Hooman;Nowak, Andrzej S.
    • Structural Engineering and Mechanics
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    • 제62권3호
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    • pp.365-372
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    • 2017
  • Reliability analysis is a probabilistic approach to determine a safety level of a system. Reliability is defined as a probability of a system (or a structure, in structural engineering) to functionally perform under given conditions. In the 1960s, Basler defined the reliability index as a measure to elucidate the safety level of the system, which until today is a commonly used parameter. However, the reliability index has been formulated based on the pivotal assumption which assumed that the considered limit state function is normally distributed. Nevertheless, it is not guaranteed that the limit state function of systems follow as normal distributions; therefore, there is a need to define a new reliability index for no-normal distributions. The main contribution of this paper is to define a sophisticated reliability index for limit state functions which their distributions are non-normal. To do so, the new definition of reliability index is introduced for non-normal limit state functions according to the probability functions which are calculated based on the convolution theory. Eventually, as the state of the art, this paper introduces a simplified method to calculate the reliability index for non-normal distributions. The simplified method is developed to generate non-normal limit state in terms of normal distributions using series of Gaussian functions.

연속알고리듬을 이용한 연계선로의 송전운용한계 결정 (A Method of Determining the Maximum Interface Flow Limit Using Continuation Algorithm)

  • 김슬기;송화창;이병준;권세혁
    • 대한전기학회논문지:전력기술부문A
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    • 제49권2호
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    • pp.78-84
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    • 2000
  • This paper introduces a method of determining the maximum real power transfer limit of interface lines, which connect two areas of a power system, using locally parameterized continuation algorithm. This method traces the path of power flow solutions as interface flow is gradually increased under a certain load demand condition and finds the steady state voltage stability limit, the interface flow limit. Voltage stability index is used to indicate how close the maximum limit is reached. Also, this study presents a procedure to determine the security-constrained interface flow limit using the above method. Contingency ranking index is proposed to identify the severity of contingencies. The case study is performed according to the suggested procedure.

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신뢰성지수를 이용한 효율적인 발파설계 (An Efficient Blast Design using Reliability Index)

  • 박연수;박선준;강성후
    • 소음진동
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    • 제8권5호
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    • pp.821-831
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    • 1998
  • The actual ground vibrations due to NATM and foundation blasting at Seoul(weathered rock), Pusan(weathered rock) and Youngkwang(quartz andesite) have been measured, and the data were analyzed using reliability index($\beta$) to determinate the vibration equations and the maximum charge weight for efficient blast. These were suggested with the division of ultimate limit state($\beta$=0), serviceability limit state($\beta$=1.28) and safety state($\beta$=3), respectively. The reliability index 0 mean 50% data line obtained by the least squares best-fit line. The reliability index 1.28 and 3 represent bounds below 90% and 99.9% of the data, respectively. In this study, reliability index $\beta$=1.28 with security and economy was suggested. The maximum charge weight equations for efficient blast were obtained in W=(Vc/384.90)1.5151.D3(Seoul), W=(Vc/579.82)1.4706.D3(Pusan). W=(Vc/1654.01)1.3456.D3(Youngkwang), and the blast vibration equatiions in V=385(SD)-1.98(Seoul), V=580(SD)-2.04(Pusan), V=1654(SD)-2.23(Youngkwang), respectively. From this study, inference and analysis methods of vibration equations using reliability theory were established.

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An improved response surface method for reliability analysis of structures

  • Basaga, Hasan Basri;Bayraktar, Alemdar;Kaymaz, Irfan
    • Structural Engineering and Mechanics
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    • 제42권2호
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    • pp.175-189
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    • 2012
  • This paper presents an algorithm for structural reliability with the response surface method. For this aim, an approach with three stages is proposed named as improved response surface method. In the algorithm, firstly, a quadratic approximate function is formed and design point is determined with First Order Reliability Method. Secondly, a point close to the exact limit state function is searched using the design point. Lastly, vector projected method is used to generate the sample points and Second Order Reliability Method is performed to obtain reliability index and probability of failure. Five numerical examples are selected to illustrate the proposed algorithm. The limit state functions of three examples (cantilever beam, highly nonlinear limit state function and dynamic response of an oscillator) are defined explicitly and the others (frame and truss structures) are defined implicitly. ANSYS finite element program is utilized to obtain the response of the structures which are needed in the reliability analysis of implicit limit state functions. The results (reliability index, probability of failure and limit state function evaluations) obtained from the improved response surface are compared with those of Monte Carlo Simulation, First Order Reliability Method, Second Order Reliability Method and Classical Response Surface Method. According to the results, proposed algorithm gives better results for both reliability index and limit state function evaluations.

Nonlinear regression methods and genetic algorithms for estimation of compression index of clays using toughness limit

  • Satoru Shimobe;Eyyub Karakan;Alper Sezer
    • Geomechanics and Engineering
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    • 제37권4호
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    • pp.371-382
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    • 2024
  • Measurement or prediction of compression index (Cc) of soils is essential for assessment of total and differential settlement of structures. It is a well-known fact that this parameter is controlled by several index identifiers of soil including initial void ratio, Atterberg limits, overconsolidation ratio, specific gravity, etc. Many studies in the past proposed relationships for prediction of Cc based on different index properties. Therefore, this study aims to present a comparison of previously proposed equations for estimation of Cc. Data from literature was compiled, and a total of 90 and 623 test results on remolded and undisturbed specimens were used to question the validity of previously proposed equations. Nevertheless, the modeling ability of 7 and 12 equations for estimation of Cc of remolded and undisturbed soils were questioned by use of compiled data. Moreover, new empirical relationships based on initial void ratio and toughness limit for prediction of Cc was proposed by use of nonlinear multivariable regression and evolutionary based regression analyses. The results are promising-the performances of models established are quite acceptable, which are verified by statistical analyses.

지수를 적용한 수도권 융통전력한계량 계산 (The Calculation Method with index for the Transfer Power limit to Capital Area)

  • 이운희;강명장;송석하
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2008년도 추계학술대회 논문집 전력기술부문
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    • pp.50-52
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    • 2008
  • We have limited the transfer power to capital area below a certain level which is called "The Capital Area Transfer Power Limit", and calculated on every Thursday for the application next week. This level is very important in our network operation, because if this level is not set properly, our power network can be fallen under great danger in case of a fault among the transfer power line. But the calculation procedure for the limit level is so complicated and iterative that it mace us spend much time and do much work. So, when a sudden trip of the related facility to the limit level we can't recalculate the limit level fast enough. And this can drop our network reliability below our standards, therefore our network can be dangerous. To avoid this kind of problems, we have figured out a method to calculate simply the limit level. That method uses the index related to the level. We think this method can make short of the calculation procedures for the level. This paper deals with the simplified method for the calculation of the level limit.

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유공케이슨 방파제 활동 및 전도 한계상태설계를 위한 하중저항계수 보정 (Load & Resistance Factors Calibration for Sliding and Overturning Limit State Design of Perforated Caisson Breakwater)

  • 김동현
    • 한국해안·해양공학회논문집
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    • 제32권6호
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    • pp.458-464
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    • 2020
  • 유공케이슨 방파제의 한계상태설계법 개발을 위해 하중저항계수 보정을 수행하였다. 전국 항만의 12개 유공케이슨식 방파제에 대하여 설계변수의 불확실성을 고려한 신뢰성해석을 수행하였다. 목표신뢰성지수에 따른 부분 안전계수와 하중, 저항계수를 차례로 산정하였다. 최적화기법을 통해 한계상태설계법 개발을 위한 하중계수와 저항계수를 도출하였다. 최종 하중저항계수를 이용하여 방파제를 재설계하였으며 목표수준의 신뢰성지수를 상회하는지 검증하였다. 목표신뢰성지수를 변화시켜 해당 수준에 맞는 하중저항계수를 최종 제시하였다.

한계상태설계를 위한 단일 쇄석다짐말뚝의 목표신뢰도지수 (Target Reliability Index of Single Gravel Compaction Piles for Limit State Design)

  • 유영권;임희대;박준모
    • 한국지반환경공학회 논문집
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    • 제15권2호
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    • pp.5-15
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    • 2014
  • 목표신뢰도지수는 한계상태설계법에서 안전여유의 지표가 되며, 부분계수를 결정하는데 있어 매우 중요한 역할을 한다. 본 연구에서는 한계상태설계법에서 필요로 하는 목표신뢰도지수의 결정을 위하여 쇄석다짐말뚝이 적용된 6개소의 설계-시공사례를 조사하였다. 쇄석다짐말뚝의 주요 파괴모드인 팽창파괴에 대한 한계상태함수를 정의하고, 일계신뢰성해석법(FORM)을 이용하여 극한지지력, 이론식별, 신뢰도수준을 평가하였다. 현행 쇄석다짐말뚝의 신뢰도지수는 허용응력설계법에 의해 산정된 안전율과 비례하는 경향을 보였으며, 평균 신뢰도지수는${\beta}$=2.30으로 평가되었다. 신뢰성해석에 의해 평가된 신뢰도 수준과 기존 구조물 기초에 대한 목표신뢰도지수를 비교 분석한바, 쇄석다짐말뚝 기초는 말뚝기초 및 얕은기초에 비하여 비교적 낮은 안정성 수준이 요구되며, 쇄석다짐말뚝의 현재 신뢰도수준은 보강토옹벽, 쏘일네일링에서 제안된 목표신뢰도지수와 유사한 범위를 보이므로 쇄석다짐말뚝의 목표신뢰도지수를 ${\beta}_T$= 2.33으로 제안하였다.

성인 및 청소년의 엄지손가락 반복사용에 따른 근 피로한계 비교 (Comparison of Muscular Endurance Limit of the Thumb with Repetitive Using Between Adults and Children)

  • 박정홍;김광훈;손권
    • 대한의용생체공학회:의공학회지
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    • 제34권1호
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    • pp.1-7
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    • 2013
  • According to the frequent use of mobile devices, risk of repetitive strain injury for the finger joints was increasing recently. The purpose of this study was to investigate the difference of muscular endurance limit of the thumb between adults and children. A total of thirty subjects (15 adults: $41.0{\pm}7.9$ years and 15 children: $9.5{\pm}2.7$ years) was recruited for this experiment. Maximum voluntary contraction (MVC) of the thumb was measured for 100 trials for each subject by using a push-pull gauge. From the maximum peak value obtained, three main factors (MVC, endurance limit, and fatigue index) were defined to quantify fatigue characteristics of the thumb flexor muscle. The experimental results showed that the mean of MVC, endurance limit, and fatigue index of the children were approximately 50% compared to the adults (p < 0.001). From the results of Pearson correlation test, the endurance limit was highly correlated with weight, age, hand length rather than height. Based on this study, children are more vulnerable to repetitive task using the thumb such as text/SNS messaging, gaming, and scrolling.