• 제목/요약/키워드: Second Order Analysis

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Bayesian Analysis for the Ratio of Variance Components

  • Kang, Sang-Gil
    • Journal of the Korean Data and Information Science Society
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    • 제17권2호
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    • pp.559-568
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    • 2006
  • In this paper, we develop the noninformative priors for the linear mixed models when the parameter of interest is the ratio of variance components. We developed the first and second order matching priors. We reveal that the one-at-a-time reference prior satisfies the second order matching criterion. It turns out that the two group reference prior satisfies a first order matching criterion, but Jeffreys' prior is not first order matching prior. Some simulation study is performed.

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확률 유한요소 이차섭동법을 사용한 구조물 최적설계 (Structural Optimization Using Stochastic Finite Element Second-Order Perturbation Method)

  • 임오강;이병우
    • 대한기계학회논문집
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    • 제19권8호
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    • pp.1822-1831
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    • 1995
  • A general formulation of the design optimization problem with the random parameters is presented here. The formulation is based on the stochastic finite element second-order perturbation method ; it takes into full account of the stress and displacement constraints together with the rates of change of the random variables. A method of direct differentiation for calculating the sensitivity coefficients in regard to the governing equation and the second-order perturbed equation is derived. A gradient-based nonlinear programming technique is used to solve the problem. The numerical results are specifically noted, where the stiffness parameter and external load are treated as random variables.

Transient Response Analysis and Compensation of the Second Order System with OIne PHP Real Zero

  • Byung-Moon kwon;Ryu, Hee-Seb;Kwon, Oh-Jyu
    • Transactions on Control, Automation and Systems Engineering
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    • 제2권4호
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    • pp.262-267
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    • 2000
  • In this paper, the magnitude of undershoot and overshoot in a prototype second order system with one positive real zero is computed by the analytic methods. Also, it will be shown that the peak times of the undershoot and overshoot can be calculated using the impulse and step response of the second order system. Three different cases are investigated: underdamped(p<ζ<1), critically damped(ζ=1) and overdamped(ζ>1) cases. We deal with the undamped(ζ=0) case as a special case of the underdamped. And a compensation method is proposed to reduce undershoots of the nonmininmun phase system using feedforward compensator.

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Blind Source Separation via Principal Component Analysis

  • Choi, Seung-Jin
    • Journal of KIEE
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    • 제11권1호
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    • pp.1-7
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    • 2001
  • Various methods for blind source separation (BSS) are based on independent component analysis (ICA) which can be viewed as a nonlinear extension of principal component analysis (PCA). Most existing ICA methods require certain nonlinear functions (which leads to higher-order statistics) depending on the probability distributions of sources, whereas PCA is a linear learning method based on second-order statistics. In this paper we show that the PCA can be applied to the task of BBS, provided that source are spatially uncorrelated but temporally correlated. Since the resulting method is based on only second-order statistics, it avoids the nonlinear function and is able to separate mixtures of several colored Gaussian sources, in contrast to the conventional ICA methods.

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유한요소 구조 인자의 2차 민감도에 의한 동적 구조 최적화 (Structural Dynamics Optimization by Second Order Sensitivity with respect to Finite Element Parameter)

  • 김용연
    • 한국공작기계학회논문집
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    • 제15권3호
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    • pp.8-16
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    • 2006
  • This paper discusses design sensitivity analysis and its application to a structural dynamics modification. Eigenvalue derivatives are determined with respect to the element parameters, which include intrinsic property parameters such as Young's modulus, density of the material, diameter of a beam element, thickness of a plate element, and shape parameters. Derivatives of stiffness and mass matrices are directly calculated by derivatives of element matrices. The first and the second order derivatives of the eigenvalues are then mathematically derived from a dynamic equation of motion of FEM model. The calculation of the second order eigenvalue derivative requires the sensitivity of its corresponding eigenvector, which are developed by Nelson's direct approach. The modified eigenvalue of the structure is then evaluated by the Taylor series expansion with the first and the second derivatives of eigenvalue. Numerical examples for simple beam and plate are presented. First, eigenvalues of the structural system are numerically calculated. Second, the sensitivities of eigenvalues are then evaluated with respect to the element intrinsic parameters. The most effective parameter is determined by comparing sensitivities. Finally, we predict the modified eigenvalue by Taylor series expansion with the derivatives of eigenvalue for single parameter or multi parameters. The examples illustrate the effectiveness of the eigenvalue sensitivity analysis for the optimization of the structures.

Motion Analysis of A Wind-Wave Energy TLP Platform Considering Second-order Wave Forces

  • Hongbhin Kim;Eun-hong Min;Sanghwan Heo;WeonCheol Koo
    • 한국해양공학회지
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    • 제36권6호
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    • pp.390-402
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    • 2022
  • Offshore wind energy has become a major energy source, and various studies are underway to increase the economic feasibility of floating offshore wind turbines (FOWT). In this study, the characteristics of wave-induced motion of a combined wind-wave energy platform were analyzed to reduce the variability of energy extraction. A user subroutine was developed, and numerical analysis was performed in connection with the ANSYS-AQWA hydrodynamic program in the time domain. A platform combining the TLP-type FOWT and the Wavestar-type wave energy converter (WEC) was proposed. Each motion response of the platform on the second-order wave load, the effect of WEC attachment and Power take-off (PTO) force were analyzed. The mooring line tension according to the installation location was also analyzed. The vertical motion of a single FOWT was increased approximately three times due to the second-order sum-frequency wave load. The PTO force of the WEC played as a vertical motion damper for the combined platform. The tension of the mooring lines in front of the incident wave direction was dominantly affected by the pitch of the platform, and the mooring lines located at the side of the platform were mainly affected by the heave of the platform.

스마트폰의 '스마트한 이용'에 대한 탐색적 연구 '스마트함', '스마트하다'의 이용행태에 대한 2차 측정모형을 중심으로 (Exploratory Study on Smart Usage of Smartphone Using the Second-order Measurement Model)

  • 김기윤
    • 한국언론정보학보
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    • 제74권
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    • pp.72-108
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    • 2015
  • 진화하는 모바일 기술은 새로운 스마트폰을 출시하고, 주기적으로 이용자들에게 교체하도록 유도하면서 모바일 기술 속에 이용자들을 가두어놓는 것 같다. 그러나 단순히 기기의 이용이 기술 자체의 속성에 의해 전적으로 결정되는 것이 아닌 바, 이용자들이 '어떻게 수용하고 있으며 인지하고 있는가'에 따라 스마트함에 대한 의미에 차이가 발생할 것으로 보았다. 특히 이 연구에서는 스마트폰의 '스마트함', '스마트하게 이용한다'라는 현상적 개념을 '스마트한 이용'의 개념으로 구체화하였고, 2차 측정모형(second-order measurement model)을 통해 스마트한 이용의 구성개념을 검증하였다. 그 결과 8개로 구성되었던 1차 요인들은 6개로 축소되었는데, 이 과정에서 '사용준비성'과 '미디어 통합성'이 '다기능 사용 준비성'으로 묶였으며, '시간 효율성'과 '관계 연결성'이 '관리 효율성'으로 합쳐졌다. 결과적으로 '스마트한 이용'의 구성개념은 '다기능 사용 준비성', '관리 효율성', '미디어 일체감', '기기연결성', '이용자 중심 최적화', '외부연결성(being connected)'의 6개 요인으로 추출되었다. 이에 스마트한 이용이란, 스마트폰의 기기적 특성을 기반으로 모바일 공간 속에서의 자율적 활용 역량으로 적절히 조율되는 이용행태로 설명될 수 있을 것이다.

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2차 마르코프 사슬 모델을 이용한 시계열 인공 풍속 자료의 생성 (Generation of Synthetic Time Series Wind Speed Data using Second-Order Markov Chain Model)

  • 유기완
    • 풍력에너지저널
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    • 제14권1호
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    • pp.37-43
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    • 2023
  • In this study, synthetic time series wind data was generated numerically using a second-order Markov chain. One year of wind data in 2020 measured by the AWS on Wido Island was used to investigate the statistics for measured wind data. Both the transition probability matrix and the cumulative transition probability matrix for annual hourly mean wind speed were obtained through statistical analysis. Probability density distribution along the wind speed and autocorrelation according to time were compared with the first- and the second-order Markov chains with various lengths of time series wind data. Probability density distributions for measured wind data and synthetic wind data using the first- and the second-order Markov chains were also compared to each other. For the case of the second-order Markov chain, some improvement of the autocorrelation was verified. It turns out that the autocorrelation converges to zero according to increasing the wind speed when the data size is sufficiently large. The generation of artificial wind data is expected to be useful as input data for virtual digital twin wind turbines.

Palm Oil Mill Effluent 처리 시 Anaerobic Hybrid Reactor의 기질 제거 Kinetics 비교 (A Comparison of Substrate Removal Kinetics of Anaerobic Reactor systems treating Palm Oil Mill Effluent)

  • 오대양;신창하;김태훈;박주양
    • 상하수도학회지
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    • 제25권6호
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    • pp.971-979
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    • 2011
  • Palm Oil Mill Effluent (POME) is the mixed organic wastewater generated from palm oil industry. In this study, kinetic analysis with treating POME in an anaerobic hybrid reactor (AHR) was performed. Therefore, the AHR was monitored for its performances with respect to the changes of COD concentrations and hydraulic retention time (HRT). Batch tests were performed to find out the substrate removal kinetics by granular sludge from POME. Modified Stover Kincannon, First-order, Monod, Grau second-order kinetic models were used to analyze the performance of reactor. The results from the batch test indicate that the substrate removal kinetics of granular sludge is corresponds to follow Monod's theory. However, Grau second-order model were the most appropriate models for the continuous test in the AHR. The second order kinetic constant, saturation value constant, maximum substrate removal rate, and first-order kinetic constant were 2.60/day, 41.905 g/L-day, 39.683 g/L-day, and 1.25/day respectively. And the most appropriate model was Grau second-order kinetic model comparing the model prediction values and measured COD concentrations of effluent, whereas modified Stover-Kincannon model showed the lowest correlation.

해석적 근사해에 근거한 스터링기관의 2차단열해석법 (A Second-Order Adiabatic Analysis Method of Stirling Engines Based on the Approximate Analytical Solution)

  • 유호선
    • 대한기계학회논문집
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    • 제16권4호
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    • pp.787-794
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    • 1992
  • 본 연구에서는 이미 알려진 이상적인 단열모델에 대한 해석적 근사해를 기본 해로 취하고, 열교환과정의 손실 및 작동유체의 유동손실 등 성능에 미치는 영향이 비교적 큰 인자만을 고려하여, 성능을 쉽게 예측할 수 있는 2차단열해석법의 하나를 개발하고자 한다. 방법의 타당성및 적용예를 보이기 위하여 기존의 스터링기관중 각 종제원및 실험결과가 발표되어 있어 비교의 기준으로서 적합한 GPU-3(ground power unit)기관을 대상으로 해석방법을 실제 적용하고 결과를 고찰하기로 한다.