• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2003년도 춘계학술대회논문집
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• pp.677-682
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• 2003

The non-linear dynamic characteristics of a semi-circular pipe conveying fluid are investigated when the pipe is clamped at both ends. To consider the geometric non-linearity for the radial and circumferential displacements, this study adopts the Lagrange strain theory for large deformation and the extensible dynamics based on the Euler-Bernoulli beam theory for slenderness assumption. By using the Hamilton principle, the non-linear partial differential equations are derived for the in-plane motions of the pipe, considering the fluid inertia forces as a kind of non-conservative forces. The linear and non-linear terms in the governing equations are compared with those in the previous study, and some significant differences are discussed. To investigate the dynamic characteristics of the system, the discretized equations of motion are derived form the Galerkin method. The natural frequencies varying with the flow velocity are computed fen the two cases, which one is the linear problem and the other is the linearized problem in the neighborhood of the equilibrium position. Finally, the time responses at various flow velocities are directly computed by using the generalized- method. From these results, we should to describe the non-linear behavior to analyze dynamics of a semi-circular pipe conveying fluid more precisely.

• 전력전자학회논문지
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• 제12권2호
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• pp.131-138
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• 2007

본 논문은 출력단에 LC필터를 갖는 3상 PWM 인버터의 출력전압을 일정전압/일정주파수로 제어하기 위한 새로운 비선형 제어기법을 제안한다. 출력 LC필터를 포함한 비선형 모델을 궤환선형화(feedback linearization) 이론을 통하여 선형화하고 선형 제어이론에 기초하여 제어기를 설계한다. 이 제어기는 LC 출력필터를 갖는 PWM 인버터를 사용하는 독립형 풍력발전 시스템에 적용된다. 제안한 제어기법은 정상상태와 부하변동의 과도상태에 대한 실험을 통하여 검증된다.

• Structural Engineering and Mechanics
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• 제77권5호
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• pp.571-586
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• 2021

The present paper studies the influence of the inhomogeneous initial stresses in the bi-layered hollow cylinder and it is assumed that these stresses are caused by the hydrostatic pressures acting on the interior and outer free surfaces of the cylinder. The study is made by utilizing the version of the three-dimensional linearized theory of elastic waves in bodies with initial stresses for which the initial stress-strain state in bodies is determined within the scope of the classical linear theory of elasticity. For the solution to the corresponding eigenvalue problem, the discrete-analytical method is employed. Numerical results are presented and analyzed for concrete selected pairs of materials. According to these results and their analyses, it is established that, unlike homogeneous initial stresses, the influence of the inhomogeneous initial stresses on the torsional wave dispersion has not only quantitative but also qualitative character. For instance, in particular, it is established that as a result of the initial stresses caused by the hydrostatic pressure acting in the interior free surface of the cylinder, the cut-off frequency appears for the fundamental dispersive mode and the values of this frequency increase with the intensity of this pressure.

• Coupled systems mechanics
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• 제11권2호
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• pp.167-198
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• 2022

In this paper we deal with classical instability problems of heterogeneous Euler beam under conservative loading. It is chosen as the model problem to systematically present several possible solution methods from simplest deterministic to more complex stochastic approach, both of which that can handle more complex engineering problems. We first present classical analytic solution along with rigorous definition of the classical Euler buckling problem starting from homogeneous beam with either simplified linearized theory or the most general geometrically exact beam theory. We then present the numerical solution to this problem by using reduced model constructed by discrete approximation based upon the weak form of the instability problem featuring von Karman (virtual) strain combined with the finite element method. We explain how such numerical approach can easily be adapted to solving instability problems much more complex than classical Euler's beam and in particular for heterogeneous beam, where analytic solution is not readily available. We finally present the stochastic approach making use of the Duffing oscillator, as the corresponding reduced model for heterogeneous Euler's beam within the dynamics framework. We show that such an approach allows computing probability density function quantifying all possible solutions to this instability problem. We conclude that increased computational cost of the stochastic framework is more than compensated by its ability to take into account beam material heterogeneities described in terms of fast oscillating stochastic process, which is typical of time evolution of internal variables describing plasticity and damage.

• 전력전자학회논문지
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• 제6권2호
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• pp.149-157
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• 2001

본 논문에서는 간단한 외란 관측 기법을 이용한 영구자석형 동기 전동기(Permanent Magnet Syncoronous Motor:PMSM)의 비선형 속도 제어 기법이 제안된다. 피드백 선형화(feedback linearization) 기법을 이용함으로써 비선형 요서가 효과적으로 제거되고 출력 오차 동특성을 선형 제어 기법에 기반하여 설정할 수 있다. 그러나 이 방식은 제어기의 파라미터들이 실제 모터의 파라미터들과 일치하지 않으면 만족스러운 성능을 기대할 수 없다. 본 논문에서는 파라미터들이 실제 모터의 파라미터들과 일치하지 않으면 만족스러운 성능을 기대할 수 없다. 본 논문에서는 파라미터 변동에 의한 비선형 외란을 제거하기 위해 외란 관측 기법을 이용한다. 제안한 방식에는 두개의 축소 차수 관측기만 이용되므로 관측기 설계가 상당히 간단하고 파라미터 추정을 위한 제어기의 계산량에 많은 부담을 주지 않는다. 제안한 관측기를 이용한 비선형 속도 제어 알고리즘이 파라미터 변동에 대해 상인한 제어특성을 가짐을 시뮬레이션과 실험 결과로 입증하였다.

• 대한전자공학회논문지TC
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• 제37권3호
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• pp.28-34
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• 2000

본 논문에서는 선형화된 리카티(Riccati) 방정식에 후리에 변환을 적용하여 주파수 특성함수와 불균일 테이퍼 전송선상의 새로운 임피던스 분포를 구한다. 리카티 방정식을 선형화 함으로써 발생할 수 있는 오차를 보상하기 위해 임의의 Taylor 급수를 임피던스 항에 추가한다. 추가된 항은 불균일 전송선 양단의 임피던스 불연속을 제거하는 역할을 한다. 설계과정을 통해서 여파기의 과녁 주파수 특성에 접근해 가는 것을 축차법을 통해서 보이며, 위상함수의 역할을 예제를 통해서 보인다. 본 논문에서 제시한 설계법은 불균일 테이퍼 전송선의 설계에 뛰어난 융통성을 제공하므로, 임의의 주파수 대역특성을 만족시키는 여파기 및 임피던스 정합회로 설계에 응용할 수 있다.

• Coupled systems mechanics
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• 제12권1호
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• pp.41-68
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• 2023

The present work is concerned with the study of the influence of inhomogeneous initial stresses in a hollow cylinder containing a compressible inviscid fluid on the propagation of axisymmetric longitudinal waves propagating in this cylinder. The study is carried out using the so-called three-dimensional linearized theory of elastic waves in bodies with initial stresses to describe the motion of the cylinder and using the linearized Euler equations to describe the flow of the compressible inviscid fluid. It is assumed that the inhomogeneous initial stresses in the cylinder are caused by the internal pressure of the fluid. To solve the corresponding eigenvalue problem, the discrete-analytic solution method is applied and the corresponding dispersion equation is obtained, which is solved numerically, after which the corresponding dispersion curves are constructed and analyzed. To obtain these dispersion curves, parameters characterizing the magnitude of the internal pressure, the ratio of the sound velocities in the cylinder material and in the fluid, and the ratio of the material densities of the fluid and the cylinder are introduced. Based on these parameters, the influence of the inhomogeneous initial stresses in the cylinder on the dispersion of the above-mentioned waves in the considered hydro-elastic system is investigated. Moreover, based on these results, appropriate conclusions about this influence are drawn. In particular, it is found that the character of the influence depends on the wavelength. Accordingly, the inhomogeneous initial stresses before (after) a certain value of the wavelength lead to a decrease (increase) of the wave propagation velocity in the zeroth and first modes.

• Journal of Ship and Ocean Technology
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• 제6권3호
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• pp.13-25
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• 2002

In this paper, the motion responses with hydrodynamic interaction effect between two off-shore floating structures in various heading waves are studied by using a linearized three-dimensional potential theory. Numerical calculations using three-dimensional pulsating source distribution techniques have been carried out for twelve coupled linear motion responses and relative motions of the barge and the ship in oblique waves. The computational results give a good correlation with the experimental results and also with other numerical results. As a result, the present computational tool can be used effectively to predict the motion responses of multiple offshore floating structures in waves.

• 전력전자학회논문지
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• 제18권4호
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• pp.333-341
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• 2013

In this paper, a feedback linearization control is proposed to regulate the output voltages of a three-phase four-wire inverter under the unbalanced and nonlinear load conditions. First, the nonlinear model of system including the output LC filters is derived in the d-q-0 synchronous reference frame. Then, the system is linearized by the multi-input multi-output feedback linearization. The tracking controllers for d-q-0-components of three-phase line-to-neutral load voltages are designed by linear control theory. The experimental results have shown that the proposed control method gives the good performance in response to the load conditions.

• 전기화학회지
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• 제17권2호
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• pp.119-123
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• 2014

Here I report on how Fourier Transform Electrochemical Impedance Spectroscopy (FTEIS) overcomes the potential-current linearity problem encountered in the impedance calculation process. FTEIS was first invented to solve the time-related drawback of the conventional impedance technique. The dramatic time reduction of FTEIS enabled the real-time impedance measurement but brought about the linearity problem at the same time. While the conventional method circumvents the problem using the steady-state made by a sufficiently long measurement time, FTEIS cannot because of its real-time function. However, according to the mathematical development reported in this article, the potential step used in FTEIS is proved to avoid the linearity problem. During the step period, the potential and the current are linearized by the electrochemical impedance. Also, Fourier transform of the differentiated potential and current is proved to give the same result of the original ones.