• Title/Summary/Keyword: Criterion function

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An advanced criterion based on non-AFR for anisotropic sheet metals

  • Moayyedian, Farzad;Kadkhodayan, Mehran
    • Structural Engineering and Mechanics
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    • v.57 no.6
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    • pp.1015-1038
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    • 2016
  • In the current research an advanced criterion with non-associated flow rule (non-AFR) for depicting the behavior of anisotropic sheet metals is presented to consider the strength differential effects (SDEs) for these materials. Owing to the fact that Lou et al. (2013) yield function is dependent on structure of an anisotropic material (BCC, FCC and HCP), an advanced yield function with inspiring of Yoon et al. (2014) yield function is proposed which is dependent upon anisotropic structures. Furthermore, to compute Lankford coefficients, a new pressure sensitive plastic potential function which would be dependent to anisotropic structure is presented and coupled with the proposed yield function with employing a non-AFR in a novel criterion which is called here 'dvanced criterion'. Totally eighteen experimental data are required to calibrate the criterion contained of directional tensile and compressive yield stresses for the yield function and directional Lankford coefficients for the plastic potential function. To verify the criterion, three anisotropic sheet metals with different structures are taken as case studies such as Al 2008-T4 (a BCC material), Al 2090-T3 (a FCC material) and AZ31 (a HCP material).

Adaptive Structure of Modular Wavelet Neural Network (모듈화된 웨이블렛 신경망의 적응 구조)

  • 서재용;김용택;김성현;조현찬;전홍태
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2001.12a
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    • pp.247-250
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    • 2001
  • In this paper, we propose an growing and pruning algorithm to design the adaptive structure of modular wavelet neural network(MWNN) with F-projection and geometric growing criterion. Geometric growing criterion consists of estimated error criterion considering local error and angle criterion which attempts to assign wavelet function that is nearly orthogonal to all other existing wavelet functions. These criteria provide a methodology that a network designer can constructs wavelet neural network according to one's intention. The proposed growing algorithm grows the module and the size of modules. Also, the pruning algorithm eliminates unnecessary node of module or module from constructed MWNN to overcome the problem due to localized characteristic of wavelet neural network which is used to modules of MWNN. We apply the proposed constructing algorithm of the adaptive structure of MWNN to approximation problems of 1-D function and 2-D function, and evaluate the effectiveness of the proposed algorithm.

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An Analysis of the Optimal Thermal Storage Time of Air-Conditioning System with Slab Thermal Storage : An Analysis by the Gradient Method Algorithm (슬래브축열의 최적축열시간 산정 : 구배법 알고리즘에 의한 해석)

  • Jung, Jae-Hoon
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.20 no.10
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    • pp.702-709
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    • 2008
  • In this paper, the optimal thermal storage time of an air-conditioning system with slab thermal storage in office building was analyzed on the basis of the gradient method algorithm. The sum of room temperature deviation and heat extraction rate was set to the criterion function. It was calculated that four hours is the optimal thermal storage time under the standard evaluation criterion. Furthermore, some case studies were executed by controlling ratio of weight functions of room temperature deviation and heat extraction rate in criterion function. It is possible to design many kinds of optimal operation of an air-conditioning system with slab thermal storage by controlling ratio of the weight functions in criterion function.

GLOBAL AVALANCHE CRITREION FOR THE S-BOXES OF SEED

  • Rhee, Min-Surp;Kim, Wan-Soon;Kim, Yang-Su
    • Journal of applied mathematics & informatics
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    • v.9 no.1
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    • pp.303-310
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    • 2002
  • The cyryptographic strength of a Feistel cipher depends strongly on the properties of its S-boxes, which are the strict avalanche criterion(SAC), the propagation criterion(PC) and GAC(the global avalanche criterion). In this paper global avalanche characteristics of S-boxes of the SEED are in-vestigated and compared to global avalanche characteristics of S-boxes of S-boxes of the Data Encryption Standard(DES).

A complement to Hoek-Brown failure criterion for strength prediction in anisotropic rock

  • Bagheripour, Mohammad Hossein;Rahgozar, Reza;Pashnesaz, Hassan;Malekinejad, Mohsen
    • Geomechanics and Engineering
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    • v.3 no.1
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    • pp.61-81
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    • 2011
  • In this paper, a complement to the Hoek-Brown criterion is proposed in order to derive the strength of anisotropic rock from strength of the corresponding truly intact rock. The complement is a decay function, which unlike other modifications or suggestions made in the past, is multiplied to the function of the original Hoek-Brown failure criterion for intact rock. This results in a combined and extended form of the criterion which describes the strength of anisotropic rock as a varying fraction of the corresponding truly intact rock strength. Statistical procedures and in particular regression analyses were conducted into data obtained in experiments conducted in the current research program and those collected from the literature in order to define the Hoek-Brown's criterion complement. The complement function was best described by a simple polynomial including only three constants to be empirically evaluated. Further investigations also showed that these constants can be related to the other readily available parameters of rock material which further facilitate determining the constants. A great and prime advantage of the proposed complement is that it is mathematically simple including the least possible number of empirical constants which are easily estimated with minimum experimental effort. Moreover, proposed concept does not suggests any change to the original Hoek-Brown criterion itself or its constants and serves whenever anisotropy does exist in the rock. This further implies on the possibility of using any other failure criterion for intact rock in conjunction with the compliment to reach the strength of anisotropic rock.

PICARD VALUES AND NORMALITY CRITERION

  • Fang, Ming-Liang
    • Bulletin of the Korean Mathematical Society
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    • v.38 no.2
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    • pp.379-387
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    • 2001
  • In this paper, we study the value distribution of meromorphic functions and prove the following theorem: Let f(z) be a transcendental meromorphic function. If f and f'have the same zeros, then f'(z) takes any non-zero value b infinitely many times.

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Consideration of Appropriate Thermal Storage Time of Air-Conditioning System with Slab Thermal Storage in an Office Building by Use of Measurement Value (실측치를 통한 사무소건물 슬래브축열 공조시스템의 적정 축열시간 검토)

  • Jung, Jae-Hoon
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.22 no.10
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    • pp.719-726
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    • 2010
  • In this paper, the appropriate thermal storage time of an air-conditioning system with slab thermal storage was considered by use of summer measurement values. Two standards of heat extraction rate and criterion function were established as the standard that evaluates appropriateness. When heat extraction rate was a standard, zero hour and seven hours were obtained as appropriate thermal storage time, in the case of evaluation by energy consumption and running cost individually. Also, when criterion function was a standard, the difference between energy consumption and running cost was small, it was because the weight function to room air temperature deviation was much bigger than heat extraction rate.

Structural damage identification based on transmissibility assurance criterion and weighted Schatten-p regularization

  • Zhong, Xian;Yu, Ling
    • Structural Engineering and Mechanics
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    • v.82 no.6
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    • pp.771-783
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    • 2022
  • Structural damage identification (SDI) methods have been proposed to monitor the safety of structures. However, the traditional SDI methods using modal parameters, such as natural frequencies and mode shapes, are not sensitive enough to structural damage. To tackle this problem, this paper proposes a new SDI method based on transmissibility assurance criterion (TAC) and weighted Schatten-p norm regularization. Firstly, the transmissibility function (TF) has been proved a useful damage index, which can effectively detect structural damage under unknown excitations. Inspired by the modal assurance criterion (MAC), TF and MAC are combined to construct a new damage index, so called as TAC, which is introduced into the objective function together with modal parameters. In addition, the weighted Schatten-p norm regularization method is adopted to improve the ill-posedness of the SDI inverse problem. To evaluate the effectiveness of the proposed method, some numerical simulations and experimental studies in laboratory are carried out. The results show that the proposed method has a high SDI accuracy, especially for weak damages of structures, it can precisely achieve damage locations and quantifications with a good robustness.

GLOBAL AVALANCHE CRITERION FOR THE S-BOXES OF DES

  • Kim, Wan-Soon;Kim, Yang-Su;Rhee, Min-Surp
    • The Pure and Applied Mathematics
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    • v.8 no.2
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    • pp.163-174
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    • 2001
  • In this paper we modify two indicators related to the global avalanche criterion (GAC) and discuss their properties. Also, we apply the modified indicators to measure the GAC of S-boxes of DES.

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Distribution of Votaw's $\lambda_1$(mvc) Criterion

  • Nagar, D.K.;Gupta, A.K.
    • Journal of the Korean Statistical Society
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    • v.23 no.2
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    • pp.303-323
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    • 1994
  • In this paper, distribution of Votaw's $\lambda_1$(mvc) criterion has been obtained using inverse Mellin transform, residue theorem and properties of special functions.

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