• Title/Summary/Keyword: normal criterion

Search Result 305, Processing Time 0.034 seconds

Comparing the generalized Hoek-Brown and Mohr-Coulomb failure criteria for stress analysis on the rocks failure plane

  • Mohammadi, M.;Tavakoli, H.
    • Geomechanics and Engineering
    • /
    • v.9 no.1
    • /
    • pp.115-124
    • /
    • 2015
  • Determination of mobilized shear strength parameters (that identify stresses on the failure plane) is required for analyzing the stability by limit equilibrium method. Generalized Hoek-Brown (GHB) and Mohr-Coulomb (MC) failure criteria are usually used for obtaining stresses on the plane of failure. In the present paper, the applicability of these criteria for determining the stresses on failure plane is investigated. The comparison is based on stresses on the real failure plane which are obtained from the Mohr stress circle. To do so, 18 sets of data (consist of principal stresses and angle of failure plane) presented in the literature are used. In addition, the values account for (VAF) and the root mean square error (RMSE) indices were calculated to check the determination performance of the obtained results. Values of VAF and RMSE for the normal stresses on the failure plane evaluated from MC are 49% and 31.5 where for GHB are 55% and 30.5, respectively. Also, for the shear stresses on failure plane, they are 74% and 36 for MC, 76% and 34.5 for GHB. Results show that the obtained stresses and angles of failure plane for each criterion differ from real ones, but GHB results are closer to the empirical results. Also, it is inferred that results are affected by the failure envelope not real failure plane. Therefore, obtained shear strength parameters are not mobilized. Finally, a multivariable regressed relation is presented for determining the stresses on the failure plane.

Validity and Reliability of Ultrasound Measurement of Knee Joint Space Width in Individuals With Knee Osteoarthritis

  • Kim, Geon;Cha, Young-joo;Shin, Ji-won;You, Sung-hyun
    • Physical Therapy Korea
    • /
    • v.26 no.1
    • /
    • pp.60-66
    • /
    • 2019
  • Background: Knee osteoarthritis (OA) is a single most arthritic disease. Knee joint space width (JSW) is commonly used for grading severity of knee OA. However, previous studies did not established criterion validity and test-retest reliability of ultrasound (US) image for measuring JSW. Objects: The aim of this study was to establish criterion validity and test-retest reliability of US measurement of medial and lateral knee JSW. Methods: Twenty-nine subjects with knee OA were participated. The US and X-ray were used to measure knee JSW. One sample Kolmogorov-Smirnov test was used to confirm the data normal distribution. Pearson correlation coefficient and ICC were used to calculated and establish criterion validity and test-retest reliability, respectively. Results: US measurement of medial and lateral knee JSW was highly correlated with radiographic imaging measure (r=.714 and .704, respectively). Test-retest reliabilities of medial and lateral knee JSW were excellent correlated (ICC=.959 for medial side and .988 for lateral side, respectively). Conclusion: US may be valid tool to measure knee JSW.

BAYESIAN TEST FOR THE EQUALITY OF THE MEANS AND VARIANCES OF THE TWO NORMAL POPULATIONS WITH VARIANCES RELATED TO THE MEANS USING NONINFORMATIVE PRIORS

  • Kim, Dal-Ho;Kang, Sang-Gil;Lee, Woo-Dong
    • Journal of the Korean Statistical Society
    • /
    • v.32 no.3
    • /
    • pp.271-288
    • /
    • 2003
  • In this paper, when the variance of the normal distribution is related to the mean, we develop noninformative priors such as matching priors and reference priors. We prove that the second order matching prior matches alternative coverage probabilities up to the same order and also it is a HPD matching prior. It turns out that one-at-a-time reference prior satisfies a second order matching criterion. Then using these noninformative priors, we develop a Bayesian test procedure for the equality of the means and variances of two independent normal distributions using fractional Bayes factor. Some simulation study is performed, and a real data example is also provided.

Multiple Change-Point Estimation of Air Pollution Mean Vectors

  • Kim, Jae-Hee;Cheon, Sooy-Oung
    • The Korean Journal of Applied Statistics
    • /
    • v.22 no.4
    • /
    • pp.687-695
    • /
    • 2009
  • The Bayesian multiple change-point estimation has been applied to the daily means of ozone and PM10 data in Seoul for the period 1999. We focus on the detection of multiple change-points in the ozone and PM10 bivariate vectors by evaluating the posterior probabilities and Bayesian information criterion(BIC) using the stochastic approximation Monte Carlo(SAMC) algorithm. The result gives 5 change-points of mean vectors of ozone and PM10, which are related with the seasonal characteristics.

Diagnosis of Power Transformer Using Modified Self Organizing Map (변형된 SOM을 이용한 유입변압기 열화진단)

  • Lee Jong Pil;Ji Pyeong Shik;Lim Jae Yoon;Kim Sung Soo
    • Proceedings of the KIEE Conference
    • /
    • summer
    • /
    • pp.578-580
    • /
    • 2004
  • Substation facilities have become large and complex in the electric power systems. Development of condition monitoring and diagnosis techniques have been very important to improve the security of substation transformers. This paper presents a method to analyze the cause and the degree of aging of power transformers by Self organizing map(SOM). Dissolved gas data were non-linearly transformed by sigmoid function to make determination of SOM close to that of human. Potential of a failure and the degree of aging of a normal transformer are identified by using the proposed quantitative criterion. Furthermore, transformer aging is monitored by the proposed criterion for a set of transformers. To demonstrate the validity of the proposed method, a case study is performed and its results are presented.

  • PDF

Effect of Boundary Conditions on Failure Probability of Buried Pipeline (매설배관의 경계조건이 파손확률에 미치는 영향)

  • Lee, Ouk-Sub;Pyun, Jang-Sik
    • Proceedings of the KSME Conference
    • /
    • 2001.11a
    • /
    • pp.311-316
    • /
    • 2001
  • A failure probability model based on Von-Mises failure criterion and the standard normal probability function is proposed. The effects of varying boundary conditions such as internal fluid pressure, external soil, traffic loads, temperature change and corrosion on failure probability of the buried pipes are systematically investigated. To allow for the uncertainties of the design variables, a reliability analysis technique has been adopted; this also allows calculation of the relative contribution of the random variables and the sensitivity of the failure probability.

  • PDF

ALGORITHMS FOR GENERATING NONLINEAR COMBINERS WITH GIVEN CONDITIONS

  • Rhee, Min-Surp;Shin, Hyun-Yong;Jun, Youn-Bae
    • Journal of applied mathematics & informatics
    • /
    • v.7 no.1
    • /
    • pp.269-278
    • /
    • 2000
  • A Boolean function generates a binary sequence which is frequently used in a stream cipher. There are number of critical concepts which a Boolean function, as a key stream generator in a stream cipher, satisfies. These are nonlinearity, correlation immunity, balancedness, SAC(strictly avalanche criterion), PC(propagation criterion) and so on. In this paper, we present the algorithms for generating random nonlinear combining functions satisfying given correlation immune order and nonlinearity. These constructions can be applied for designing the key stream generators. We use Microsoft Visual C++6.0 for our program.

Frequency Response of Nonclassically Damped Linear Systems (비고전적으로 감쇠하는 선형 진동시스템의 주파수응답)

  • 황재혁;남창호
    • Transactions of the Korean Society of Mechanical Engineers
    • /
    • v.17 no.11
    • /
    • pp.2742-2751
    • /
    • 1993
  • Nonclassically damping domes from drastic variations of energy absorption rates of the materials in different parts of structures, or from the external damping sources inserted into the structures. In this study, an approximate method to calculate the frequency response of a method is superior to other approaches in respect of computational effort and accuracy. In addition, when frequency response is calculated by neglecting the off-diagonal elements of modal damping matrix, a criterion to ensure small errors is derived. In is shown that the criterion can be described as the vector sum of each modal coupling to the corresponding mode.

A Contact Algorithm in the Low Velocity Impact Simulation with SPH

  • Min, Oak-Key;Lee, Jeong-Min;Kim, Kuk-Won;Lee, Sung-Soo
    • Journal of Mechanical Science and Technology
    • /
    • v.14 no.7
    • /
    • pp.705-714
    • /
    • 2000
  • The formulation of Smoothed Particle Hydrodynamics (SPH) and a shortcoming of traditional SPH in contact simulation are presented. A contact algorithm is proposed to treat contact phenomenon between two objects. We describe the boundary of the objects with non-mass artificial particles and set vectors normal to the contact surface. Contact criterion using non-mass particles is established in this study. In order to verify the contact algorithm, an algorithm is implemented in to an in-house program; elastic wave propagation is an analysed under low velocity axial impact of two rods. The results show that the contact algorithm eliminates the undesirable phenomena at the contact surface; numerical result with the contact algorithm is compared with theoretical one.

  • PDF

Failure Probability Model of Buried Pipeline (매설배관의 파손 확률 모델)

  • Lee, Eok-Seop;Pyeon, Jang-Sik
    • Journal of the Korean Society for Precision Engineering
    • /
    • v.18 no.11
    • /
    • pp.116-123
    • /
    • 2001
  • A failure probability model based on Von-Mises failure criterion and the standard normal probability function is proposed. The effects of varying boundary conditions such as nearby cavity, backfill, load cycle and corrosion on failure probability of the buried pipes are systematically investigated. The location of cavity is found to affect failure probability of buried pipeline within a certain limit. It is noted that the flexibility of backfill plays a great role to change the failure probability of buried pipeline. Furthermore, the corrosion gives less effects than other boundary conditions such as cavity, load as cavity, load cycle, and backfill to the failure probability of buried pipeline.

  • PDF