• Title/Summary/Keyword: Linear formula

Search Result 454, Processing Time 0.027 seconds

Analysis of a Conducting Crack in an Electrostrictive Ceramic Under Combined Electric and Mechanical Loading

  • Beom, Hyeon-Gyu;Jeong, Kyoung-Moon;Jeong, Eun-Do
    • Journal of Mechanical Science and Technology
    • /
    • v.16 no.8
    • /
    • pp.1117-1126
    • /
    • 2002
  • A conducting crack in an electrostrictive ceramic under combined electric and mechanical loading is investigated. Analysis based on linear dielectric model predicts that the surfaces of the crack are not open completely but they are contact near the crack tip. The complete solution for the crack with a contact zone in a linear electrostrictive ceramic under combined electric and mechanical loading is obtained by using the complex variable formula. The asymptotic problems for a semi-infinite crack with a partial opening zone as well as for a fully open semi-infinite crack in a nonlinear electrostrictive ceramic are analyzed in order to investigate the effect of the electrical nonlinearity on the stress intensity factor under small scale nonlinear conditions. Particular attention is devoted to a finite crack in the nonlinear electrostrictive ceramic subjected to combined electric and mechanical loading. The stress intensity factor for the finite crack under small scale nonlinear conditions is obtained from the asymptotic analysis.

Non-Gaussian analysis methods for planing craft motion

  • Somayajula, Abhilash;Falzarano, Jeffrey M.
    • Ocean Systems Engineering
    • /
    • v.4 no.4
    • /
    • pp.293-308
    • /
    • 2014
  • Unlike the traditional displacement type vessels, the high speed planing crafts are supported by the lift forces which are highly non-linear. This non-linear phenomenon causes their motions in an irregular seaway to be non-Gaussian. In general, it may not be possible to express the probability distribution of such processes by an analytical formula. Also the process might not be stationary or ergodic in which case the statistical behavior of the motion to be constantly changing with time. Therefore the extreme values of such a process can no longer be calculated using the analytical formulae applicable to Gaussian processes. Since closed form analytical solutions do not exist, recourse is taken to fitting a distribution to the data and estimating the statistical properties of the process from this fitted probability distribution. The peaks over threshold analysis and fitting of the Generalized Pareto Distribution are explored in this paper as an alternative to Weibull, Generalized Gamma and Rayleigh distributions in predicting the short term extreme value of a random process.

Linear-Time Korean Morphological Analysis Using an Action-based Local Monotonic Attention Mechanism

  • Hwang, Hyunsun;Lee, Changki
    • ETRI Journal
    • /
    • v.42 no.1
    • /
    • pp.101-107
    • /
    • 2020
  • For Korean language processing, morphological analysis is a critical component that requires extensive work. This morphological analysis can be conducted in an end-to-end manner without requiring a complicated feature design using a sequence-to-sequence model. However, the sequence-to-sequence model has a time complexity of O(n2) for an input length n when using the attention mechanism technique for high performance. In this study, we propose a linear-time Korean morphological analysis model using a local monotonic attention mechanism relying on monotonic alignment, which is a characteristic of Korean morphological analysis. The proposed model indicates an extreme improvement in a single threaded environment and a high morphometric F1-measure even for a hard attention model with the elimination of the attention mechanism formula.

Parametric Approaches to Sliding Mode Design for Linear Multivariable Systems

  • Kim, Kyung-Soo;Park, Young-Jin
    • International Journal of Control, Automation, and Systems
    • /
    • v.1 no.1
    • /
    • pp.11-18
    • /
    • 2003
  • The parametric approaches to sliding mode design are newly proposed for the class of multivariable systems. Our approach is based on an explicit formula for representing all the slid-ing modes using the Lyapunov matrices of full order. By manipulating Lyapunov matrices, the sliding modes which satisfy the design criteria such as the quadratic performance optimization and robust stability to parametric uncertainty, etc., can be easily obtained. The proposed ap-proach enables us to adopt a variety of Lyapunov- (or Riccati-) based approaches to the sliding mode design. Applications to the quadratic performance optimization problem, uncertain systems, systems with uncertain state delay, and the pole-clustering problem are discussed.

TWO-LINK APPROXIMATION SCHEMES FOR LINEAR LOSS NETWORKS WITHOUT CONTROLS

  • Bebbington, M.S.;Pollett, P.K.;Ziedins, I.
    • Journal of the Korean Mathematical Society
    • /
    • v.35 no.3
    • /
    • pp.539-557
    • /
    • 1998
  • This paper is concerned with the performance evaluation of loss networks. We shall review the Erlang Fixed Point (EFP) method for estimating the blocking probabilities, which is based on an assumption that links are blocked independently. For networks with linear structure, the behaviour of adjacent links can be highly correlated. We shall give particular attention to recently-developed fixed-point methods which specifically account for the dependencies between neighbouring links. For the network considered here, namely a ring network with two types of traffic, these methods produce relative errors typically $10^{-5}$ of that found using the basic EFP approximation.

  • PDF

Delay-Dependent Robust Stability of Uncertain Time-Delayed Linear Systems (불확정성 시간지연 선형시스템의 지연 종속 강인 안정성)

  • Yi, Yearn-Gui;Kim, Jin-Hoon
    • The Transactions of the Korean Institute of Electrical Engineers D
    • /
    • v.55 no.4
    • /
    • pp.147-153
    • /
    • 2006
  • In this paper, we propose a new delay-dependent criterion on the robust stability of time-delayed linear systems having norm bounded uncertainties. Based on new form of Lyapunov-Krasovskii functional and the Newton-Leibniz formula, we drive a result in the form of LMI which guarantees the robust stability without any model transformation. The Newton-Leibniz equation was used to relate the cross terms with free matrices. Finally, we show the usefulness of our result by two numerical examples.

The Motion Characteristics of a Marine Riser in Regular Wave Condition (규칙파중 석유시추보호관의 운동특성에 관한 연구)

  • 김용철;이판묵
    • Journal of Ocean Engineering and Technology
    • /
    • v.1 no.1
    • /
    • pp.49-56
    • /
    • 1987
  • The dynamic behaviour of a marine riser was studied theoretically and experimentally. In linear analysis, the natural frequencies and mode shapes of the riser were obtained from the experiment and they were found to be in good agreement with theoretical results by using a simple asymptotic formula. In nonlinear ananlysis including viscous drag and large displacement, a numerical-perturbation technique based on the derived linear asymptotic solutions is used to predict the displacements and stresses of the riser in harmonic motion. These results were also compared with experimental data and found to be in general in good agreement.

  • PDF

Performance of Vocal Tract Area Estimation from Deaf and Normal Children's Speech (청각장애아동과 건청아동의 성도면적 추정 성능)

  • Kim Se-Hwan;Kim Nam;Kwon Oh-Wook
    • MALSORI
    • /
    • no.56
    • /
    • pp.159-172
    • /
    • 2005
  • This paper analyzes the vocal tract area estimation algorithm used as a part of a speech analysis program to help deaf children correct their pronunciations by comparing their vocal tract shape with normal children's. Assuming that a vocal tract is a concatenation of cylinder tubes with a different cross section, we compute the relative vocal tract area of each tube using the reflection coefficients obtained from linear predictive coding. Then, we obtain the absolute vocal tract area by computing the height of lip opening with a formula modified for children's speech. Using the speech data for five Korean vowels (/a/, /e/, /i/, /o/, and /u/), we investigate the effects of the sampling frequency, frame size, and model order on the estimated vocal tract shape. We compare the vocal tract shapes obtained from deaf and normal children's speech.

  • PDF

The Estimation Method Comparison of Iron Loss Coefficients through the Iron Loss Calculation

  • Kim, Yong-Tae;Cho, Gyu-Won;Kim, Gyu-Tak
    • Journal of Electrical Engineering and Technology
    • /
    • v.8 no.6
    • /
    • pp.1409-1414
    • /
    • 2013
  • A new calculation method for iron loss coefficients is proposed by using the Steinmetz equation from Epstein data. The hysteresis loss must have linear characteristic according to the frequency. However, the existing iron loss coefficients are defined by formula of frequency. In this case, the hysteresis loss has non-linear characteristics by frequency. So, in this paper, the iron loss coefficients were defined by a function of the magnetic flux density, and the iron loss calculation is applied for Interior Permanent Magnet Synchronous Motor(IPMSM) of 600(W) and 200(W). The iron loss calculation results and the experimental results are compared according to the various materials.

Design of a Discrete Time Sliding Mode Controller for Laser Marking System (레이저 마킹 시스템의 이산시간 슬라이딩 모드 제어기 설계)

  • 이충우;채수경;최재모;정정주
    • Journal of Institute of Control, Robotics and Systems
    • /
    • v.10 no.4
    • /
    • pp.304-311
    • /
    • 2004
  • In this paper we present a technique of discrete-time sliding mode controller design for assigning eigenvalues of sliding mode and determining a convergence rate to sliding surface. First the sliding mode coefficient is designed via Ackermann s formula. Then a linear controller is designed to enforce sliding mode such that the resulting closed loop yields the desired eigenvalues. As we use a linear control instead of nonlinear control, chattering is nearly eliminated. Simulation and experimental results are included to show the effectiveness of the proposed method for Laser Marking System.