• 제목/요약/키워드: Central Limit Theory

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축대칭 전방 압출 공정에서의 연성파괴 (Ductile Fracture in Axisymmetric Extrusion Process)

  • 최석우;이용신;오흥국
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 1996년도 추계학술대회논문집
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    • pp.29-37
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    • 1996
  • A ductile fracture criterion, which has already proposed, namely, ($\Delta$1/1o)f at $\Delta$$\sigma$ m=(($\Delta$1/1o)f+(-1/tan$\theta$)$\Delta$$\sigma$m(where ($\Delta$1/1o)f is fracture elongation, $\Delta$$\sigma$m is mean stress variation) was made use of to study the working limit in axisymmetric extrusion. The present investigation is concerned with the application of theory on flow and fracture to the prediction of workability of materials in axisymmetric bar extrusion, with special reference to central bursting. The influenced of die geometry and manufacturing conditions on the central bursting are predicted.

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Reliability analysis of shallow tunnel with surface settlement

  • Yang, X.L.;Li, W.T.
    • Geomechanics and Engineering
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    • 제12권2호
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    • pp.313-326
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    • 2017
  • Based on the reliability theory and limit analysis method, the roof stability of a shallow tunnel is investigated under the condition of surface settlement. Nonlinear Hoek-Brown failure criterion is adopted in the present analysis. With the consideration of surface settlement, the internal energy and external work are calculated. Equating the rate of energy dissipation to the external rate of work, the expression of support pressure is derived. With the help of variational approach, a performance function is proposed to reliability analysis. Improved response surface method is used to calculate the Hasofer-Lind reliability index and the failure probability. In order to assess the validity of the present results, Monte-Carlo simulation is performed to examine the correctness. Sensitivity analysis is used to estimate the influence of different variables on reliability index. Among random variables, the unit weight significantly affects the reliability index. It is found that the greater coefficient of variation of variables lead to the higher failure probability. On the basis of the discussions, the reliability-based design is achieved to calculate the required tunnel support pressure under different situations when the target reliability index is obtained.

Roof failure of shallow tunnel based on simplified stochastic medium theory

  • Huang, Xiaolin;Zhou, Zhigang;Yang, X.L.
    • Geomechanics and Engineering
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    • 제14권6호
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    • pp.571-580
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    • 2018
  • The failure mechanism of tunnel roof is investigated with upper bound theorem of limit analysis. The stochastic settlement and nonlinear failure criterion are considered in the present analysis. For the collapse of tunnel roof, the surface settlement is estimated by the simplified stochastic medium theory. The failure curve expressions of collapse blocks in homogeneous and in layered soils are derived, and the effects of material parameters on the potential range of failure mechanisms are discussed. The results show that the material parameters of initial cohesion, nonlinear coefficient and unit weight have significant influences on the potential range of collapse block in homogeneous media. The proportion of collapse block increases as the initial cohesion increases, while decreases as the nonlinear coefficient and the unit weight increase. The ground surface settlement increases with the tunnel radius increasing, while the possible collapse proportion decreases with increase of the tunnel radius. In layered stratum, the study is investigated to analyze the effects of material parameters of different layered media on the proportion of possible collapse block.

Convergence rate of a test statistics observed by the longitudinal data with long memory

  • Kim, Yoon Tae;Park, Hyun Suk
    • Communications for Statistical Applications and Methods
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    • 제24권5호
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    • pp.481-492
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    • 2017
  • This paper investigates a convergence rate of a test statistics given by two scale sampling method based on $A\ddot{i}t$-Sahalia and Jacod (Annals of Statistics, 37, 184-222, 2009). This statistics tests for longitudinal data having the existence of long memory dependence driven by fractional Brownian motion with Hurst parameter $H{\in}(1/2,\;1)$. We obtain an upper bound in the Kolmogorov distance for normal approximation of this test statistic. As a main tool for our works, the recent results in Nourdin and Peccati (Probability Theory and Related Fields, 145, 75-118, 2009; Annals of Probability, 37, 2231-2261, 2009) will be used. These results are obtained by employing techniques based on the combination between Malliavin calculus and Stein's method for normal approximation.

EFFECT OF FEAR ON A MODIFIED LESLI-GOWER PREDATOR-PREY ECO-EPIDEMIOLOGICAL MODEL WITH DISEASE IN PREDATOR

  • PAL, A.K.
    • Journal of applied mathematics & informatics
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    • 제38권5_6호
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    • pp.375-406
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    • 2020
  • The anti-predator factor due to fear of predator in eco- epidemiological models has a great importance and cannot be evaded. The present paper consists of a modified Lesli-Gower predator-prey model with contagious disease in the predator population only and also consider the fear effect in the prey population. Boundedness and positivity have been studied to ensure the eco-epidemiological model is well-behaved. The existence and stability conditions of all possible equilibria of the model have been studied thoroughly. Considering the fear constant as bifurcating parameter, the conditions for the existence of limit cycle under which the system admits a Hopf bifurcation are investigated. The detailed study for direction of Hopf bifurcation have been derived with the use of both the normal form and the central manifold theory. We observe that the increasing fear constant, not only reduce the prey density, but also stabilize the system from unstable to stable focus by excluding the existence of periodic solutions.

메카트로닉스 환경하의 R&D System의 퍼지프로젝트 일정계획 (Fuzzy Project Scheduling of the R&D System under the Mechatronics Environment)

  • 이근희;이재성;주일권
    • 산업경영시스템학회지
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    • 제14권24호
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    • pp.169-177
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    • 1991
  • The Existing Protect schedulings are mathematical nodes upon which probability control is based. In fact, under the mechatronics environment in the new product design and development, statistical information is very poor or sometimes non-existent. Probabilistic PERT/CPM methods are not always satisfying because those methods suppose that it is possible to apply central- limit theorem and there exists a critical path which is much mart critical than all the other paths. Fuzzy project scheduling is possibility based scheduling. For this reason, the Fuzzy Project Scheduling essential to design, development and control the new product under the mechatranics environment. This paper deals with a modeling on the project scheduling which use fuzzy set theory. Fuzzy concepts in the project scheduling are shown to be very useful and easy to work with in the R & D system.

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WEAK CONVERGENCE FOR STATIONARY BOOTSTRAP EMPIRICAL PROCESSES OF ASSOCIATED SEQUENCES

  • Hwang, Eunju
    • 대한수학회지
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    • 제58권1호
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    • pp.237-264
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    • 2021
  • In this work the stationary bootstrap of Politis and Romano [27] is applied to the empirical distribution function of stationary and associated random variables. A weak convergence theorem for the stationary bootstrap empirical processes of associated sequences is established with its limiting to a Gaussian process almost surely, conditionally on the stationary observations. The weak convergence result is proved by means of a random central limit theorem on geometrically distributed random block size of the stationary bootstrap procedure. As its statistical applications, stationary bootstrap quantiles and stationary bootstrap mean residual life process are discussed. Our results extend the existing ones of Peligrad [25] who dealt with the weak convergence of non-random blockwise empirical processes of associated sequences as well as of Shao and Yu [35] who obtained the weak convergence of the mean residual life process in reliability theory as an application of the association.

Reliability of mortar filling layer void length in in-service ballastless track-bridge system of HSR

  • Binbin He;Sheng Wen;Yulin Feng;Lizhong Jiang;Wangbao Zhou
    • Steel and Composite Structures
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    • 제47권1호
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    • pp.91-102
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    • 2023
  • To study the evaluation standard and control limit of mortar filling layer void length, in this paper, the train sub-model was developed by MATLAB and the track-bridge sub-model considering the mortar filling layer void was established by ANSYS. The two sub-models were assembled into a train-track-bridge coupling dynamic model through the wheel-rail contact relationship, and the validity was corroborated by the coupling dynamic model with the literature model. Considering the randomness of fastening stiffness, mortar elastic modulus, length of mortar filling layer void, and pier settlement, the test points were designed by the Box-Behnken method based on Design-Expert software. The coupled dynamic model was calculated, and the support vector regression (SVR) nonlinear mapping model of the wheel-rail system was established. The learning, prediction, and verification were carried out. Finally, the reliable probability of the amplification coefficient distribution of the response index of the train and structure in different ranges was obtained based on the SVR nonlinear mapping model and Latin hypercube sampling method. The limit of the length of the mortar filling layer void was, thus, obtained. The results show that the SVR nonlinear mapping model developed in this paper has a high fitting accuracy of 0.993, and the computational efficiency is significantly improved by 99.86%. It can be used to calculate the dynamic response of the wheel-rail system. The length of the mortar filling layer void significantly affects the wheel-rail vertical force, wheel weight load reduction ratio, rail vertical displacement, and track plate vertical displacement. The dynamic response of the track structure has a more significant effect on the limit value of the length of the mortar filling layer void than the dynamic response of the vehicle, and the rail vertical displacement is the most obvious. At 250 km/h - 350 km/h train running speed, the limit values of grade I, II, and III of the lengths of the mortar filling layer void are 3.932 m, 4.337 m, and 4.766 m, respectively. The results can provide some reference for the long-term service performance reliability of the ballastless track-bridge system of HRS.

지역 미술과 권력 (Regional Art and Power)

  • 박영택
    • 미술이론과 현장
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    • 제3호
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    • pp.35-50
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    • 2005
  • For us, any regional art exist? Almost all art events today take place mostly in Seoul. Concentrating on the reinforcement of its power, the regional art world remains isolated without any connection with the Seoul art community. It is completely closed off from the central art scene. The regional art world seems to consider that more helpful in consolidating its status. It is in real sense suffering the absence of art criticism and art media, lack of an understanding of art and backwardness of art education. Many regional artists are dreaming of moving out from their domain, aspiring to be a member of the central art world. They make an effort to assimilate into a refined, modern style of the central art circle, rather than striving to create works imbued with regionality and locality. As the artists living in the provinces, the characteristics of their district should be above all else reflected in their art. Although they are less informed about the latest trend of culture and art, their art has to be something passionately and obstinately embodying the intrinsic quality of their regions. They have to find a practical solution more positively, instead of merely complaining about the poor condition of the regional art community. There is the need to bring about a turnabout in our awareness that regional art is confined to any limit and cannot be in the center of the entire art world. What' s most significant is to dissolve factionalism and not to depend on school ties or regional networks. As a reaction against authoritarianism, regional art has to put emphasis on attaining its originality. For this, regional art should respect regional tradition, history and background and break away from an old convention of wielding power.

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Corporate Governance and Earnings Management: A Study of Vietnamese Listed Banks

  • TRAN, Quoc Thinh;LAM, To Trang;LUU, Chi Danh
    • The Journal of Asian Finance, Economics and Business
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    • 제7권12호
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    • pp.389-395
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    • 2020
  • Earnings management is a matter of concern for organizations because it affects the interests of stakeholders. This reduces the quality of information on financial statements of the organizations when the organization performs earnings management behavior. The objective of the article is to examine the impact of corporate governance on earnings management of all Vietnamese listed banks from 2015 to 2019. The article uses time-series data and ordinary least square (OLS) with Eviews 10.0 software to test the regression model. The agency and asymmetry information theory is used to explain the relationship between corporate governance and earnings management. The study results show that two variables - the foreign members of the board of directors and audit committee - have an opposite effect on earnings management behavior of Vietnamese listed banks. Therefore, the managers of listed banks need to raise awareness to express responsibility for honest and reasonable information on the financial statements. This creates trust and credibility for stakeholders. Moreover, Central bank of Vietnam should monitor regularly and enforce strict sanctions to limit earnings management behavior of listed banks. This contributes to improving the quality of accounting information in the Vietnamese banking sector to meet the trend of international economic integration.