• 제목/요약/키워드: nonlinear distribution

검색결과 1,196건 처리시간 0.028초

Thermal post-buckling behavior of imperfect graphene platelets reinforced metal foams plates resting on nonlinear elastic foundations

  • Yin-Ping Li;Gui-Lin She;Lei-Lei Gan;H.B. Liu
    • Earthquakes and Structures
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    • 제26권4호
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    • pp.251-259
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    • 2024
  • In this paper, the thermal post-buckling behavior of graphene platelets reinforced metal foams (GPLRMFs) plate with initial geometric imperfections on nonlinear elastic foundations are studied. First, the governing equation is derived based on the first-order shear deformation theory (FSDT) of plate. To obtain a single equation that only contains deflection, the Galerkin principle is employed to solve the governing equation. Subsequently, a comparative analysis was conducted with existing literature, thereby verifying the correctness and reliability of this paper. Finally, considering three GPLs distribution types (GPL-A, GPL-B, and GPL-C) of plates, the effects of initial geometric imperfections, foam distribution types, foam coefficients, GPLs weight fraction, temperature changes, and elastic foundation stiffness on the thermal post-buckling characteristics of the plates were investigated. The results show that the GPL-A distribution pattern exhibits the best buckling resistance. And with the foam coefficient (GPLs weight fraction, elastic foundation stiffness) increases, the deflection change of the plate under thermal load becomes smaller. On the contrary, when the initial geometric imperfection (temperature change) increases, the thermal buckling deflection increases. According to the current research situation, the results of this article can play an important role in the thermal stability analysis of GPLRMFs plates.

로그분포모형을 이용한 토양수분특성 추정 (Estimation of Water Retention Characteristics Using Lognormal Distribution Model)

  • Sang Il Hwang
    • 한국지하수토양환경학회지:지하수토양환경
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    • 제8권4호
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    • pp.21-26
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    • 2003
  • 황과 Powers(2003)는 입도분포와 공극크기분포에 로그분포함수를 적용하여, 입도분포로부터 토양수분특성을 직접 추정하는 간단한 모형을 개발하였다. 본 연구의 목적은 황과 Powers(2003)가 개발한 모형의 추정능력이 토성에 의해 영향을 받는가를 밝히는 것이다. 연구결과, 모형은 토성에 의해 영향을 받았고, 특히 토양내 세립질 분율이 커질수록 모형의 추정능력은 감소하였다. 또한 입도와 공극크기사이의 관계를 비선형으로 가정한 비선형모형이 선형모형보다 토성에 관계없이 그 추정능력이 크게 나타났다.

3상 4선식 저압 배전선로에서 선형 및 비선형 부하의 사용시 전압 불평형률 비교 분석 (Comparative Analysis of Voltage Unbalance Factor on the use of Linear and Non-linear loads in Three-phase Four-wire Low Voltage Distribution Line)

  • 김종겸;김지명
    • 전기학회논문지
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    • 제66권3호
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    • pp.587-592
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    • 2017
  • In the three-phase four-wire low-voltage power distribution equipment, single-phase and three-phase load have been used mainly mixed. Also linear and nonlinear loads have been used together in the same conditions. In a three-phase four-wire distribution line, the current distribution of three-phase linear load is almost constant in each phase during driving or stopping, but the single-phase load is different from each other for each phase in accordance with the operation and stop. So that the voltage unbalance is caused by the current difference of each phase. In the three-phase four-wire distribution system, non-linear load is used with linear load. The presence of single-phase nonlinear loads can produce an increase in harmonic currents in three-phase and neutral line. It can also cause voltage unbalance. In the present study, we analyzed for the voltage unbalance fluctuations by the operation pattern of the single and three-phase linear and non-linear load in three-phase four-wire low voltage distribution system.

Test of the Hypothesis based on Nonlinear Regression Quantiles Estimators

  • Choi, Seung-Hoe
    • Journal of the Korean Data and Information Science Society
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    • 제14권2호
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    • pp.153-165
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    • 2003
  • This paper considers the likelihood ratio test statistic based on nonlinear regression quantiles estimators in order to test of hypothesis about the regression parameter $\theta_o$ and derives asymptotic distribution of proposed test statistic under the null hypothesis and a sequence of local alternative hypothesis. The paper also investigates asymptotic relative efficiency of the proposed test to the test based on the least squares estimators or the least absolute deviation estimators and gives some examples to illustrate the application of the main result.

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Optical Interferometric Characterization of Nonlinear Optical Polymer Thin Films

  • Wu, J.W.
    • 한국진공학회지
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    • 제7권s1호
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    • pp.149-155
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    • 1998
  • The linear electro-optic (EO) effect is one of the second-order nonlinear optical effects existing in a noncentrosymmetric macroscopic system. In a polymer thin film, the noncentrosymmetry is achieved by electric field poling. The magnitude of the linear EO response is determined through the orientational distribution function of hyperpolarizable molecular dipoles. The relation between the linear EO coefficient and the second-order nonlinear optical susceptibility is explained. Three different methods of measuring the linear EO coefficient of a poled nonliner optical polymer thin film are introduced and discussed. All of them make use of the interferometric technique, the difference being in the optical parameters which are interfering.

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Parameter Estimation in a Complex Non-Stationary and Nonlinear Diffusion Process

  • So, Beong-Soo
    • Journal of the Korean Statistical Society
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    • 제29권4호
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    • pp.489-499
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    • 2000
  • We propose a new instrumental variable estimator of the complex parameter of a class of univariate complex-valued diffusion processes defined by the possibly non-stationary and/or nonlinear stochastic differential equations. On the basis of the exact finite sample distribution of the pivotal quantity, we construct the exact confidence intervals and the exact tests for the parameter. Monte-Carlo simulation suggests that the new estimator seems to provide a viable alternative to the maximum likelihood estimator (MLE) for nonlinear and/or non-stationary processes.

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Asymmetric Least Squares Estimation for A Nonlinear Time Series Regression Model

  • Kim, Tae Soo;Kim, Hae Kyoung;Yoon, Jin Hee
    • Communications for Statistical Applications and Methods
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    • 제8권3호
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    • pp.633-641
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    • 2001
  • The least squares method is usually applied when estimating the parameters in the regression models. However the least square estimator is not very efficient when the distribution of the error is skewed. In this paper, we propose the asymmetric least square estimator for a particular nonlinear time series regression model, and give the simple and practical sufficient conditions for the strong consistency of the estimators.

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Asymptotic Properties of LAD Esimators of a Nonlinear Time Series Regression Model

  • Kim, Tae-Soo;Kim, Hae-Kyung;Park, Seung-Hoe
    • Journal of the Korean Statistical Society
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    • 제29권2호
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    • pp.187-199
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    • 2000
  • In this paper, we deal with the asymptotic properties of the least absolute deviation estimators in the nonlinear time series regression model. For the sinusodial model which frequently appears in a time series analysis, we study the strong consistency and asymptotic normality of least absolute deviation estimators. And using the derived limiting distributions we show that the least absolute deviation estimators is more efficient than the least squared estimators when the error distribution of the model has heavy tails.

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비선형 부하의 증감에 따른 고조파 특성 분석 (Analysis on the Harmonics Characteristics Due to Increase & Decrease of Nonlinear Load)

  • 김종겸;이은웅
    • 전기학회논문지P
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    • 제52권3호
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    • pp.100-106
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    • 2003
  • The increasing application of power electronic equipment in industrial field has led to a growing concern for harmonic distortion and the resulting impacts on system equipment and operations. Harmonic currents are generated by the operation of nonlinear loads and equipment on the power system. These are more increased by unbalance voltage of electrical distribution power systems. This paper describes harmonics characteristics generated by varying of nonlinear load at the PCC under the voltage unbalance.

비선형 해양파의 통계적 특성에 대한 해석 (An Analysis of Statistical Characteristics of Nonlinear Ocean Waves)

  • 김도영
    • 한국해양환경ㆍ에너지학회지
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    • 제13권2호
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    • pp.112-120
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    • 2010
  • 이 논문에서는 Yura 해역에서 폭풍 중 24시간 연속으로 측정된 freak wave가 포함된 파랑자료를 분석하여 비선형 파도의 통계적 특성을 살펴보았다. 파고의 초과확률분포는 Edgeworth-Rayleigh(ER) 분포와, Rayleigh 분포를 이용하여 계측된 자료와 비교하였다. 파형이 stationary 상태를 유지하는 10시간 동안 계측된 파랑자료(파랑의 개수가 4600 내외)에서는, 파형의 분포는 Gram-Chalier분포가 Gaussian분포보다 파랑자료와 일치를 한다. 전반적인 파고의 확률분포는 Rayleigh($H_{rms}$)분포를 잘 따르는 것을 볼 수 있다. Freak wave 발생확률은 Rayleigh($m_{o}{^{1/2}}$) 분포로 잘 표시가 되며, ER 분포는 과대하게 예측하는 것을 볼 수 있다. 30분간 계측된 파랑자료(파랑 개수가 250개 내외)에서 freak wave가 발생된 경우는 ER 분포가 freak wave 발생확률과 잘 일치한다. 그러나 전반적인 파고의 발생확률이 과대평가된다. Freak wave가 발생하지 않은 경우는 거의 모든 파고에 걸쳐 Rayleigh($H_{rms}$)분포가 계측된 파고분포와 잘 일치를 한다. 파고가 10 m 이하의 freak wave의 파고확률분포는 10 m 이상의 파고를 가지는 freak wave와 비슷한 경향을 보인다. $H_{max}/H_{1/3}$은 파형의 kurtosis와 연관이 있는 것을 보여주었다. Freak wave의 발생은 높은 kurtosis 값과 관계가 있으며, freak wave가 발생하는 임계 kurtosis 값이 존재할 가능성이 있을 것으로 추정된다.