• Title/Summary/Keyword: Distribution limit

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Operating Performance Limitations of Tilting Pad Thrust Bearings Due to Misalignment (정렬불량에 따른 틸팅 패드 스러스트 베어링의 운전 성능 한계 검토)

  • Song, AeHee;Choi, SeongPil;Kim, SeonJin
    • Tribology and Lubricants
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    • v.36 no.2
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    • pp.82-87
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    • 2020
  • In thrust bearings, the thrust collar and bearing surface need to be parallel to each other to ensure that all pads share the same load. In rotating machines, the shaft system cannot achieve perfect alignment. Misalignment of the thrust collar results in some pads supporting a higher load than others and excessive loads being placed on some pads. Consequently, high loads and high temperatures may occur in the bearing. Thus, in this study, we aim to analytically evaluate the performance of a misaligned non-equalizing direct lubricated tilting pad thrust bearing. We define the oil film thickness of the misaligned thrust bearing using the Byrant angle. Additionally, we calculate the pressure distribution and temperature distribution of the thrust bearing using the generalized Reynolds equation and energy equation. The design limit of the thrust bearing is defined by the load and temperature. Therefore, we evaluate the allowable misalignment angle as the limit of the maximum load and temperature. The analysis results demonstrate that an increase in the speed and load corresponds to a smaller allowable misalignment angle. However, as this is not the same for all thrust bearings, evaluating the allowable misalignment angle at each thrust bearing is essential.

Finite Element Analysis and Experimental Investigation of Non-isothermal Forming Processes for Aluminum-Alloy Sheet Metals. (Part 1. Experiment) (알루미늄 합금박판 비등온 성형공정의 유한요소해석 및 실험적 연구(제1부. 실험))

  • 류호연;배원택;김종호;김성민;구본영;금영탁
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1998.03a
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    • pp.45-52
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    • 1998
  • This study is to investigate the effects of warm deep drawing with aluminum sheets of A1050-H16 and A5052-H32 for improving deep drawability. Experiments for procucing circular cups and square cups were carried out for various working conditions, such as forming temperature and blank shape. The limit drawing ratio(LDR) of 2.63 in warm deep drawing of circular cups in case of A5052-H32 sheet, whereas LDR of A1050-H16 is 2.25, could be obtained and the former was 8 times higher than the value at room temperature. The maximum relative drawing depth for square cups of A5052-H32 material was also about 2 times deeper than the depth drawn at room temperature. The effects of blank shape, and temperature on drawability of aluminum materials as well as thickness distribution of drawn cups were examined and discussed.

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A Study on 7th Probability and Statistics Education In Mathematics 1 Textbooks in Korea (수학 I 검정교과서 확률통계 영역에 대한 연구)

  • Lee Sang Bock;Sohn Joong-Kweon;Chung Sung Suck
    • The Korean Journal of Applied Statistics
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    • v.18 no.1
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    • pp.197-210
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    • 2005
  • In Korea, mathematics education has been taken according to the 7th national mathematics curriculum renovated by the Ministry of Education and Human Resources Development announcement in 1997. The education of probability and Statistics has been carried out as a part of this curriculum. We analyze and compare mathematics 1 textbooks for 11-12 grade students. Descriptions of random variable, sample variance and sample standard deviation, distribution of sample mean, and etc. which are on some textbooks, are misleaded in school education. We suggest the unbiased estimator of sample variance in accordance with textbooks and central limit theorem of sample mean under normal population.

A Study on the Strength Characteristics of Lime-Soil Mixtures. (석회혼합토의 강도특성에 관한 연구)

  • 조성정
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.22 no.3
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    • pp.46-59
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    • 1980
  • This study was conducted to obtain the most effective distribution of grain size and the optimum lime content for lime-soil stabilization. To achieve the aim, the change of consistency, the characteristics of compaction and unconfined compressive strength were tested by adding of 0, 4, 6, 8, 10 and 12 percent lime by weight for all soils adjusted by given ratios of sand to clay. The results obtained were as follows; 1. There was a tendency that the plasticity index of lime-soil mixture was decreased by increasing the amount of lime, whereas the liquid limit was varied irregularly and the plastic limit was increased. 2. With the addition of more lime, the optimum moisture content of lime-soil mixture was increased, and the maximum dry density was decreased. 3. The optimum lime content of lime-soil mixture was varied from soil to soil, and the less amount of small grain size, the less value of optimum lime content. 4. The optimum distribution of grain size for lime-soil mixture was in the soil, having the ratio of about 60 percent of cohesive clay and about 40 percent of sand by weight. 5. In the soil having fine grain size, the effect of curing appeared for long periods of time, whereas the increasing rate of unconfined compressive strength was great on the soil of coarse grain size in the earlier stage of curing period.

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Improvement of the Stamping Formability by BHF Control (블랭크 홀딩력 제어에 의한 스탬핑 가공성 향상 기술)

  • 김영석;임성언;손형성;한수식
    • Transactions of Materials Processing
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    • v.8 no.3
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    • pp.269-275
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    • 1999
  • A variable blank holding force method is proposed to improve deep drawing characteristics of sheet materials. In this method, the blank holding force (BHF) is controlled throughout a drawing process so that the punch load does not exceed a critical value, which is slightly less than the conventional process with the conforming process with the variable BHF is more flexible than the conventional process with the constant BHF and it could be used for improving the product's quality and drawability. In this paper we suggest a method controlling the BHF as a function of punch travel during the forming process. The optimization BHF curves are determined theoretically and experimentally. It is concluded that for the case of optimum BHF control methods the drawn cup height and the drawing formability achieved by this method are increased than those for constant BHF method. Also, as comparing the wall thickness distribution of the cup drawn by the constant BHF and the optimum BHF control, the BHF control reduce the wall thickness variation of the drawn cup at the cup wall and make the cup thickness distribution more uniformly than the constant BHF.

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Test of homogeneity for transition probabilities in panel Markov chains (패널 마코프 체인의 전이확률에 대한 동질성 검정)

  • Lee, Sung Duck;Jo, Na Rae
    • The Korean Journal of Applied Statistics
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    • v.30 no.1
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    • pp.147-157
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    • 2017
  • The test of transition probabilities in panel Markov chains are introduced. We deal with the hypotheses whether panel Markov chains have the same transition probabilities or not for all times. We suggest a LR test statistic for the test and its limit distribution is derived. We perform a simulation study to examine the limit distribution of test statistics when the number of the individuals are large.

Probabilistic stability analysis of rock slopes with cracks

  • Zhu, J.Q.;Yang, X.L.
    • Geomechanics and Engineering
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    • v.16 no.6
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    • pp.655-667
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    • 2018
  • To evaluate the stability of a rock slope with one pre-exiting vertical crack, this paper performs corresponding probabilistic stability analysis. The existence of cracks is generally ignored in traditional deterministic stability analysis. However, they are widely found in either cohesive soil or rock slopes. The influence of one pre-exiting vertical crack on a rock slope is considered in this study. The safety factor, which is usually adopted to quantity the stability of slopes, is derived through the deterministic computation based on the strength reduction technique. The generalized Hoek-Brown (HB) failure criterion is adopted to characterize the failure of rock masses. Considering high nonlinearity of the limit state function as using nonlinear HB criterion, the multivariate adaptive regression splines (MARS) is used to accurately approximate the implicit limit state function of a rock slope. Then the MARS is integrated with Monte Carlo simulation to implement reliability analysis, and the influences of distribution types, level of uncertainty, and constants on the probability density functions and failure probability are discussed. It is found that distribution types of random variables have little influence on reliability results. The reliability results are affected by a combination of the uncertainty level and the constants. Finally, a reliability-based design figure is provided to evaluate the safety factor of a slope required for a target failure probability.

A Probabilistic Analysis for Periodicity of Real-time Tasks

  • Delgado, Raimarius;Choi, Byoung Wook
    • International Journal of Internet, Broadcasting and Communication
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    • v.13 no.1
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    • pp.134-142
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    • 2021
  • This paper proposes a probabilistic method in analyzing timing measurements to determine the periodicity of real-time tasks. The proposed method fills a gap in existing techniques, which either concentrate on the estimation of worst-case execution times, or do not consider the stochastic behavior of the real-time scheduler. Our method is based on the Z-test statistical analysis which calculates the probability of the measured period to fall within a user-defined standard deviation limit. The distribution of the measured period should satisfy two conditions: its center (statistical mean) should be equal to the scheduled period of the real-time task, and that it should be symmetrical with most of the samples focused on the center. To ensure that these requirements are met, a data adjustment process, which omits any outliers in the expense of accuracy, is presented. Then, the Z-score of the distribution according to the user-defined deviation limit provides a probability which determines the periodicity of the real-time task. Experiments are conducted to analyze the timing measurements of real-time tasks based on real-time Linux extensions of Xenomai and RT-Preempt. The results indicate that the proposed method is able to provide easier interpretation of the periodicity of real-time tasks which are valuable especially in comparing the performance of various real-time systems.

The Soil Particles Distributions and Fractal Dimension (흙의 입도분포와 플랙탈 차원)

  • Yu, Chan;Ahn, Sung-Yul;Lee, Chang-No;Baveye, Philippe C.
    • Journal of the Korean Geotechnical Society
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    • v.18 no.6
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    • pp.25-32
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    • 2002
  • The fractal dimension that was evaluated with soil components from the traditional particle-size distribution(PSD) curve was analyzed using the results of Wu et al.(1993) and Bittelli et al.(1999). In order to find the change of the variation of fractal dimension with the upper and lower limit, three limit values(200$\mu{m}$, 63$\mu{m}$, and 125$\mu{m}$) were chosen, and these results of fractal dimension analysis were compared to the result that was evaluated in the whole range of the soils. The results showed that it is possible to evaluate fractal dimension from the traditional PSD curve with the soil contents, and it showed that Bittelli et at.(1999)'s upper and lower limit value was more reasonable than Wu et al.(1993). Equations that were presented by Bittelli et at.(1999) also showed a good agreement with the analytical results in the silt domain.

Analysis of Temperature Characteristic According to Variation of Air Duct of the Cast Resin Transformer (몰드변압기의 공기덕트의 구조 변화에 따른 온도특성 해석)

  • Kim, Ji-Ho;Lee, Hyang-Beom;Shon, Jin-Geun
    • The Transactions of the Korean Institute of Electrical Engineers P
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    • v.64 no.4
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    • pp.256-260
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    • 2015
  • In this paper, achieved rise temperature distribution about degradation phenomenon of 24 MVA distribution cast resin transformer using CFD(Computational Fluid Dynamics). Usually, life of transformer is depended on temperature distribution of specification region than thermal special quality of transformer interior. Specially, life of transformer by decline of dielectric strength decreases rapidly in case rise by strangeness transformer interior hot spot temperature value permits. Because calculating high-voltage(HV) winding and low-voltage(LV) winding of cast resin transformer and Joule's loss of core for improvement these life, forecasted heat source, and HV winding and LV winding of cast transformer rise temperature distribution of core for supply of electric power and temperature distribution of highest point on the basis of the results. Also, calculated temperature rise limit of cast resin transformer and permission maximum temperature using analysis by electromagnetic heat source. Calculated and forecasted rise temperature distribution by heat source of thermal analysis with calculated result.