• Title/Summary/Keyword: density function

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The Prediction of Dynamic Fatigue Life of Multi-axial Loaded Structure (다축 하중 구조물의 동적 피로수명 예측)

  • Yoon, Moon Young;Kim, Kyeung Ho;Park, Jang Soo;Boo, Kwang Seok;Kim, Heung Seob
    • Journal of the Korean Society for Precision Engineering
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    • v.30 no.2
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    • pp.231-235
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    • 2013
  • The purpose of this paper is to compare with estimation of equivalent fatigue load in time domain and frequency domain and estimate the fatigue life of structure with multi-axial vibration loading. The fatigue analysis with two methods is implemented with various signals like random, sinusoidal signals. Also an equivalent fatigue life estimated by rainflow cycle counting in time domain is compared with results estimated with probability density function of each signal in frequency domain. In case of frequency domain, equivalent fatigue life can estimate through Dirlik's method with probability density function. And the work proposed in this paper compared the fatigue damage accumulated under uni-axial loading to that induced by multi-axial loading. The comparison is preformed for a simple cantilever beam, which is exposed to vibrations of several directions. For verification of estimation performance of fatigue life, results are compared to those of FEM analysis (ANSYS).

Prediction of Mechanical Behavior for Carbon Black Added Natural Rubber Using Hyperelastic Constitutive Model

  • Kim, Beomkeun
    • Elastomers and Composites
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    • v.51 no.4
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    • pp.308-316
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    • 2016
  • The rubber materials are widely used in automobile industry due to their capability of a large amount of elastic deformation under a force. Current trend of design process requires prediction of functional properties of parts at early stage. The behavior of rubber material can be modeled using strain energy density function. In this study, five different strain energy density functions - Neo-Hookean model, Reduced Polynomial $2^{nd}$ model, Ogden $3^{rd}$ model, Arruda Boyce model and Van der Waals model - were used to estimate the behavior of carbon black added natural rubber under uniaxial load. Two kinds of tests - uniaxial tension test and biaxial tension test - were performed and used to correlate the coefficients of the strain energy density function. Numerical simulations were carried out using finite element analysis and compared with experimental results. Simulation revealed that Ogden $3^{rd}$ model predicted the behavior of carbon added natural rubber under uniaxial load regardless of experimental data selection for coefficient correlation. However, Reduced Polynomial $2^{nd}$, Ogden $3^{rd}$, and Van der Waals with uniaxial tension test and biaxial tension test data selected for coefficient correlation showed close estimation of behavior of biaxial tension test. Reduced Polynomial $2^{nd}$ model predicted the behavior of biaxial tension test most closely.

CONVERGENCE AND POWER SPECTRUM DENSITY OF ARIMA MODEL AND BINARY SIGNAL

  • Kim, Joo-Mok
    • Korean Journal of Mathematics
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    • v.17 no.4
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    • pp.399-409
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    • 2009
  • We study the weak convergence of various models to Fractional Brownian motion. First, we consider arima process and ON/OFF source model which allows for long packet trains and long inter-train distances. Finally, we figure out power spectrum density as a Fourier transform of autocorrelation function of arima model and binary signal model.

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Approximate fuzzy clustering based on a density function (밀도 함수를 이용한 근사적 퍼지 클러스터링)

  • 손세호;권순학;최윤혁
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2000.05a
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    • pp.94-97
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    • 2000
  • We introduce an approximate fuzzy clustering method, which is simple but computationally efficient, based on density functions in this paper. The density functions are defined by the number of data within the predetermined interval. Numerical examples are presented to show the validity of the proposed clustering method.

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Research on the E-Commerce Credit Scoring Model Using the Gaussian Density Function

  • Xiao, Qiang;He, Rui-chun;Zhang, Wei
    • Journal of Information Processing Systems
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    • v.11 no.2
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    • pp.173-183
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    • 2015
  • At present, it is simple to the electronic commerce credit scoring model, as a brush credit phenomenon in E-commerce has emerged. This phenomenon affects the judgment of consumers and hinders the rapid development of E-commerce. In this paper, that E-commerce credit evaluation model that uses a Gaussian density function is put forward by density test and the analysis for the anomalies of E-commerce credit rating, it can be fond out the abnormal point in credit scoring, these points were calculated by nonlinear credit scoring algorithm, thus it can effectively improve the current E-commerce credit score, and enhance the accuracy of E-commerce credit score.

A study on log-density ratio in logistic regression model for binary data

  • Kahng, Myung-Wook
    • Journal of the Korean Data and Information Science Society
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    • v.22 no.1
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    • pp.107-113
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    • 2011
  • We present methods for studying the log-density ratio, which allow us to select which predictors are needed, and how they should be included in the logistic regression model. Under multivariate normal distributional assumptions, we investigate the form of the log-density ratio as a function of many predictors. The linear, quadratic and crossproduct terms are required in general. If two covariance matrices are equal, then the crossproduct and quadratic terms are not needed. If the variables are uncorrelated, we do not need the crossproduct terms, but we still need the linear and quadratic terms.

Estimation of Non-Gaussian Probability Density by Dynamic Bayesian Networks

  • Cho, Hyun-C.;Fadali, Sami M.;Lee, Kwon-S.
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.408-413
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    • 2005
  • A new methodology for discrete non-Gaussian probability density estimation is investigated in this paper based on a dynamic Bayesian network (DBN) and kernel functions. The estimator consists of a DBN in which the transition distribution is represented with kernel functions. The estimator parameters are determined through a recursive learning algorithm according to the maximum likelihood (ML) scheme. A discrete-type Poisson distribution is generated in a simulation experiment to evaluate the proposed method. In addition, an unknown probability density generated by nonlinear transformation of a Poisson random variable is simulated. Computer simulations numerically demonstrate that the method successfully estimates the unknown probability distribution function (PDF).

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MF(Multi-Function) Cathode for High Current Density CRT

  • Kim, Tae-Wook;Bae, Min-Cheol;Youn, Young-Jun
    • Journal of Information Display
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    • v.5 no.4
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    • pp.23-26
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    • 2004
  • A limitation of oxide cathode is the high current density, caused by low electrical conductivity of an emitter layer. This limitation can be overcome by increasing the conductivity, and uniform dispersion of Ni powder and pore agent could be achieved by using the screen-printing method. This new cathode has shown not only high current density reliability but also improved performance characteristics and as such given the name "Multi-Function cathode". It is expected to be a good replacement of the impregnated cathode.

Empirical formulations for evaluation of across-wind dynamic loads on rectangular tall buildings

  • Ha, Young-Cheol
    • Wind and Structures
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    • v.16 no.6
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    • pp.603-616
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    • 2013
  • This study is aimed at formulating an empirical equation for the across-wind fluctuating moment and spectral density coefficient, which are needed to estimate the across-wind dynamic responses of tall buildings, as a function of the side ratios of buildings. In order to estimate an empirical formula, wind tunnel tests were conducted on aero-elastic models of the rectangular prisms with various aspect and side ratios in turbulent boundary layer flows. In this paper, criteria for the across-wind fluctuating moment and spectral density are briefly discussed and the results are analyzed mainly as a function of the side ratios of the buildings. Finally, empirical formulas for the across-wind fluctuating moment coefficient and spectral density coefficient according to variation of the aspect ratio are proposed.

Measurement of Backscattering Cross Sections of Live Fish (활어의 후방산란 단면적 측정)

  • Park, Hae-Hun;Jang, Ji-Won
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.20 no.1
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    • pp.11-16
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    • 1984
  • The backscattering cross sections of live fish and the probability density function of fish echoes were measured at side aspect. The measurements were made at 40 and 170 in KHz. The specimen fishes on the experiments were two catfish-total length of 16.8cm(L/λ is about 4.5, where the L is length, the λ is the sound wavelength) and 23cm(L/λ, ~6.1), a carp(Cyprinus carpio) of 17.5cm(L/λ, ~4.7), a Telapia(Tilapia mossambica)of 19.5cm(L/λ, ~5.2) and several fishes. Those lengths ranged from 10.7 to 24.0cm. The results of the measured maximum backscattering cross sections were 5.62$\times$10 super(-5) to 7.23$\times$10 super(-4) m super(2). Huang and clay reported that, when the fish was moving gently, the probaiblity density function of the fish echces was approximately the same with the Rayleigh probability density function. Thereafter Ehrenberg et al. also reported that the Rayleigh probability density function on fish was performed at the critical acoustic length ratio or more in theoretical base. Recently Dahl and Mathisen tested the Rayleigh probability density function on fish when the fish-length-to-wavelength ratios were greater than 100. In this paper the experimental result was also not accorded with the Rayleigh probability density function when the fish-length-to-wavelength rations were lower than the critical ratio.

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