• Title/Summary/Keyword: Averaging method

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Bearing Capacity of Foundation on Sand Overlying Soft Clay (연약한 점토층 위에 놓인 모래지반의 극한지지력에 관한 연구)

  • 민덕기;김효상
    • Journal of the Korean Geotechnical Society
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    • v.15 no.5
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    • pp.29-41
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    • 1999
  • This Paper applied a simple strength parameter averaging method to double layered systems consisting of the strong sand layer overlying the soft clay deposit. This study derived a formula which defines a critical depth as the strength parameters, and used the correction parameter, $\alpha$ to reduce an error of the strength parameter averaging method. The results of the method were presented in the form of dimensionless charts and were compared with the results of several solutions proposed by Satyanarayana & Grag, Sreenivasulu, and Meyerhof & Hanna. The results of the proposed method coincided with the method of Meyerhof & Hanna and the results obtained from FLAC. But the Satyanarayana & Grag method and the Sreenivasulu method overestimated the bearing capacity. Consequently, the bearing capacity of foundation on sand layer overlying soft clay layer can be approximately estimated by using the proposed dimensionless charts.

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Experimental Verification on Motion Error Analysis Method of Hydrostatic Tables Using Transfer Function (전달함수를 이용한 유정압테이블 운동정밀도 해석법의 실험적 검증)

  • Oh, Yoon-Jin;Park, Chun-Hong;Lee, Chan-Hong;Hong, Joon-Hee
    • Journal of the Korean Society for Precision Engineering
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    • v.19 no.5
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    • pp.64-71
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    • 2002
  • A new model utilizing a transfer function was proposed in the previous paper fur analizing motion errors of hydrostatic tables. Validity of the proposed method was theoretically verified as the calculated motion errors were compared with the results by conventional multi pad method. In this paper, relationship between form error of rail and motion errors of hydrostatic table is analized theoretically in order to comprehand so-called ‘averaging effect of oil film’. Experiments on the motion errors of hydrostatic table is conducted with 3 different rails, and the results are compared with the results calculated by Transfer Function Method. The results show good agreement. From the results, it is verified that TFM is very effective to analize the motion errors of hydrostatic table.

On the Bayesian Statistical Inference (베이지안 통계 추론)

  • Lee, Ho-Suk
    • Proceedings of the Korean Information Science Society Conference
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    • 2007.06c
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    • pp.263-266
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    • 2007
  • This paper discusses the Bayesian statistical inference. This paper discusses the Bayesian inference, MCMC (Markov Chain Monte Carlo) integration, MCMC method, Metropolis-Hastings algorithm, Gibbs sampling, Maximum likelihood estimation, Expectation Maximization algorithm, missing data processing, and BMA (Bayesian Model Averaging). The Bayesian statistical inference is used to process a large amount of data in the areas of biology, medicine, bioengineering, science and engineering, and general data analysis and processing, and provides the important method to draw the optimal inference result. Lastly, this paper discusses the method of principal component analysis. The PCA method is also used for data analysis and inference.

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Experimental Verification on Motion Error Analysis Method of Hydrostatic Tables Using Transfer Function (전달함수를 이용한 유정압테이블 운동정밀도 해석법의 실험적 검증)

  • 박천흥;오윤진;이후상;홍준희
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2001.04a
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    • pp.454-458
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    • 2001
  • A new model utilizing a transfer function was proposed in the previous paper for analizing motion errors of hydrostatic tables. Validity of the proposed method was theoretically verified as the calculated motion errors were compared with the results by conventional multi pad method. In this paper, relationship between form error of rail and motion errors of hydrostatic table is analized theoretically in order to comprehand so-called 'averaging effect of oil film'. Experiments on the motion errors of hydrostatic table is conducted with 3 different rails, and the results are compared with the results calculated by Transfer Function Method. The results show good agreement. From the results, it is verified that TFM is very effective to analize the motion errors of hydrostatic table.

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Chaotic Vibration of a Straight Pipe Conveying Oscillatory Flow (조화진동유동을 포함한 직선파이프계의 혼돈운동 연구)

  • Pak, Chul-Hui;Hong, Sung-Chul;Jung, Wook
    • Journal of KSNVE
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    • v.6 no.2
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    • pp.233-244
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    • 1996
  • In this paper chaotic mothions of a straight pipe conveying oscillatory flow and being subjected to external forces such as earthquake are theoretically investigated. The nonlinear partial differential equation of motion is derived by Newton's method. In this equation, the nonlinear curvature of the pipe and the thermal expansion effects are contained. The nonlinear ordinary differential equation transformed from that partial differential equation is a type of Hill's equations, which have the parametric and external exciation term. This original system is transfered to the averaged system by the averaging theory. Bifurcation curves of chaotic motion of the piping system are obtained in the general case of the frequency ratio, n by applying Melnikov's method. Numerical simulations are performed to demonstrate theorectical results and show strange attactors of the chaotic motion.

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Takagi-Sugeno Fuzzy Integral Control for Asymmetric Half-Bridge DC/DC Converter

  • Chung, Gyo-Bum
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.7 no.1
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    • pp.77-84
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    • 2007
  • In this paper, Takagi-Sugeno (TS) fuzzy integral control is investigated to regulate the output voltage of an asymmetric half-bridge (AHB) DC/DC converter; First, we model the dynamic characteristics of the AHB DC/DC converter with state-space averaging method and small perturbation at an operating point. After introducing an additional integral state of the output regulation error, we obtain the $5^{th}$-order TS fuzzy model of the AHB DC/DC converter. Second, the concept of the parallel distributed compensation is applied to design the fuzzy integral controller, in which the state feedback gains are obtained by solving the linear matrix inequalities (LMIs). Finally, simulation results are presented to show the performance of the considered design method as the output voltage regulator and compared to the results for which the conventional loop gain method is used.

A stochastic optimal time-delay control for nonlinear structural systems

  • Ying, Z.G.;Zhu, W.Q.
    • Structural Engineering and Mechanics
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    • v.31 no.5
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    • pp.621-624
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    • 2009
  • The time delay in active and semi-active controls is an important research subject. Many researches on the time-delay control for deterministic systems have been made (Hu and Wang 2002, Yang et al. 1990, Abdel-Mooty and Roorda 1991, Pu 1998, Cai and Huang 2002), while the study on that for stochastic systems is very limited. The effects of the time delay on the control of nonlinear systems under Gaussian white noise excitations have been studied by Bilello et al. (2002). The controlled linear systems with deterministic and random time delay subjected to Gaussian white noise excitations have been treated by Grigoriu (1997). Recently, a stochastic averaging method for quasi-integrable Hamiltonian systems with time delay has been proposed (Liu and Zhu 2007). In the present paper, a stochastic optimal time-delay control method for stochastically excited nonlinear structural systems is proposed based on the stochastic averaging method for quasi Hamiltonian systems with time delay and the stochastic dynamical programming principle. An example of stochastically excited and controlled hysteretic column is given to illustrate the proposed control method.

Moment Lyapunov exponents of the Parametrical Hill's equation under the excitation of two correlated wideband noises

  • Janevski, Goran;Kozic, Predrag;Pavlovic, Ivan
    • Structural Engineering and Mechanics
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    • v.52 no.3
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    • pp.525-540
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    • 2014
  • The Lyapunov exponent and moment Lyapunov exponents of Hill's equation with frequency and damping coefficient fluctuated by correlated wideband random processes are studied in this paper. The method of stochastic averaging, both the first-order and the second-order, is applied. The averaged $It\hat{o}$ differential equation governing the pth norm is established and the pth moment Lyapunov exponents and Lyapunov exponent are then obtained. This method is applied to the study of the almost-sure and the moment stability of the stationary solution of the thin simply supported beam subjected to time-varying axial compressions and damping which are small intensity correlated stochastic excitations. The validity of the approximate results is checked by the numerical Monte Carlo simulation method for this stochastic system.

Evaluation of spatial pressure distribution during ice-structure interaction using pressure indicating film

  • Kim, Hyunwook;Ulan-Kvitberg, Christopher;Daley, Claude
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.6 no.3
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    • pp.578-597
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    • 2014
  • Understanding of 'spatial' pressure distribution is required to determine design loads on local structures, such as plating and framing. However, obtaining a practical 'spatial' pressure distribution is a hard task due to the sensitivity of the data acquisition frequency and resolution. High-resolution Pessure-Idicating Flm (PIF) was applied to obtain pressure distribution and pressure magnitude using stepped crushing method. Different types of PIF were stacked at each test to creating a pressure distribution plot at specific time steps. Two different concepts of plotting 'spatial' pressure-area curve was introduced and evaluated. Diverse unit pixel size was chosen to investigate the effect of the resolution in data analysis. Activated area was not significantly affected by unit pixel size; however, total force was highly sensitive.

Comparison of Dynamic Elements Matching Method in the Delta-Sigma Modulators (Dynamic Element Matching을 통한 Multi-bit Delta-Sigma Modulator에서의 DAC Error 감소 방안 비교)

  • Hyun, Deok-Hwan
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.10 no.1
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    • pp.104-110
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    • 2006
  • The advantage of the DSM which employ multi-bit quantizer is the increased SNR at the modulator's output. Typically 6 dB improvement is effected for every one additional bit. But multi-bit quantizer evidently requires multi-bit DAC in the feedback loop. The integral linearity error of the feedback DAC has direct impact upon the system performance and degraded SNR of the system. In order to mitigate the negative impact the DAC has on the system performance, many DEM(Dynamic Element Matching) schemes has been proposed. Among the proposed schemes, four schemes(DER,CLA,ILA,DWA) are explained and its performance has been compared. DWA(Data Weighted Averaging) method shows the best performance of the all.