• 대한전기학회:학술대회논문집
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• 대한전기학회 2006년 학술대회 논문집 정보 및 제어부문
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• pp.597-599
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• 2006

In this paper, we propose an artificial intelligence method to compensate the nonlinearity error which occurs in the heterodyne laser interferometer. Some superior properties such as long measurement range, ultra-precise resolution and various system set-up lead the laser interferometer to be a practical displacement measurement apparatus in various industry and research area. In ultra-precise measurement such as nanometer or subnanometer scale, however, the accuracy is limited by the nonlinearity error caused by the optical parts. The feedforward neural network trained by back-propagation with a capacitive sensor as a reference signal minimizes the nonlinearity error and we demonstrate the effectiveness of our proppsed algorithm through some experimental results.

• 대한전기학회논문지:시스템및제어부문D
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• 제49권4호
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• pp.191-200
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• 2000

In practical applications, we frequently encounter the actuator nonlinearity in control systems, and its representative nonlinearity is saturation. A controller designed without considering this saturation nonlinearity is often a source of degradation of performance. To treat the saturation nonlinearity more efficiently, we adopt the multiplicative decomposition and the additive decomposition. Based on these decompositions, we present two controller design methods in the LMI(Linear Matrix Inequality) form that guarantee the L2 gain, from the disturbance to the measured output, is less than or equal to a given value. Finally, we give two examples to show the applicability and usefulness of our results.

• Structural Engineering and Mechanics
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• 제48권5호
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• pp.587-613
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• 2013

A 3-node 3D co-rotational beam element using vectorial rotational variables is employed to consider the geometric nonlinearity in 3D space. To account for shape versatility and reinforced concrete cross-sections, fibre model has been derived and conducted. Numerical integration over the cross-section is performed, considering both normal and shear stresses. In addition, the derivations associated with material nonlinearity are given in terms of elasto-plastic incremental stress-strain relationship for both steel and concrete. Steel reinforcement is treated as elasto-plastic material with Von Mises yield criterion. Compressive concrete behaviour is described by Modified Kent and Park model, while tensile stiffening effect is taken into account as well. Through several numerical examples, it is shown that the proposed 3D co-rotational beam element with fibre model can be used to simulate steel and reinforced concrete framed structures with satisfactory accuracy and efficiency.

• 대한전기학회:학술대회논문집
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• 대한전기학회 2007년도 심포지엄 논문집 정보 및 제어부문
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• pp.86-88
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• 2007

In the semiconductor manufacturing industry, the heterodyne laser interferometer plays as an ultra-precise measurement system. However, the heterodyne laser interferometer has some unwanted nonlinearity error which is caused from frequency-mixing. This is an obstacle to improve the measurement accuracy in nanometer scale. In this paper we propose a compensation algorithm based on RLS(recursive least square) method and artificial intelligence method, which reduce the nonlinearity error in the heterodyne laser interferometer. With the capacitance displacement sensor we get a reference signal which can be transformed into the intensity domain. Using the back-propagation Neural Network method, we train the network to track the reference signal. Through some experiments, we demonstrate the effectiveness of the proposed algorithm in measurement accuracy.

• Korean Journal of Mathematics
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• 제19권4호
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• pp.423-436
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• 2011

We obtain a theorem that shows the existence of multiple solutions for the mixed type nonlinear elliptic equation with Dirichlet boundary condition. Here the nonlinear part contain the jumping nonlinearity and the subcritical growth nonlinearity. We first show the existence of a positive solution and next find the second nontrivial solution by applying the variational method and the mountain pass method in the critical point theory. By investigating that the functional I satisfies the mountain pass geometry we show the existence of at least two nontrivial solutions for the equation.

• 비파괴검사학회지
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• 제36권2호
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• pp.112-120
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• 2016

The nonlinearity parameter is frequently measured as a sensitive indicator in damaged material characterization or tissue harmonic imaging. Several previous studies have employed the plane wave solution, and ignored the effects of beam diffraction when measuring the non-linearity parameter ${\beta}$. This paper presents a multi-Gaussian beam approach to explicitly derive diffraction corrections for fundamental and second harmonics under quasilinear and paraxial approximation. Their effects on the nonlinearity parameter estimation demonstrate complicated dependence of ${\beta}$ on the transmitter-receiver geometries, frequency, and propagation distance. The diffraction effects on the non-linearity parameter estimation are important even in the nearfield region. Experiments are performed to show that improved ${\beta}$ values can be obtained by considering the diffraction effects.

• 비파괴검사학회지
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• 제30권2호
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• pp.139-145
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• 2010

본 연구에서는 레이저를 이용한 협대역 표면파의 음향 비선형 계측을 통하여 굽힘피로손상된 알루미늄 합금의 피로열화를 평가하였다. 선배열 레이저를 이용할 경우 발생하는 본질적인 고조파 성분을 이론적으로 분석하고 굽힘피로손상된 알루미늄 6061 합금의 표면으로부터 음향 비선형 파라미터를 성공적으로 측정하였다. 피로사이클의 증가에 따라서 음향 비선형 파라미터는 증가하였고 손상 정도와 매우 밀접한 관계를 보였다. 결과적으로 본 연구에서 다룬 레이저 여기된 표면파의 비선형평가기법은 피로손상된 표면열화 평가에 매우 유용할 것으로 판단된다.

• 한국강구조학회 논문집
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• 제11권4호통권41호
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• pp.417-424
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• 1999

본 논문에서는 3차원 강뼈대구조물의 비선형 해석 기법을 개발하였다. 본 해석은 재료적 비선형과 기하학적 비선형을 고려하였다. 재료적 비선형으로 휨에 의한 점진적인 소성화를 고려하였다. 기하학적 비선형으로 $P-{\delta}$와 $P-{\Delta}$ 효과를 고려하였다. 절점에서의 재료적 비선형성은 여러개의 화이버로 구성되어 있는 P-M 힌지 개념을 사용함으로써 고려하였다. 기하학적 비선형성은 안정함수 (Stability function)를 사용하여 고려하였다. 단 전단과 비틀림에 의해 발생하는 비선형형은 고려하지 않았다. 수치해석법으로는 수정변위증가법을 사용하였다. 본 연구에서 제안된 해석방법으로 예측된 하중-변위가 다른 해석기법의 결과들과 잘 일치하였다.

• 비파괴검사학회지
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• 제34권3호
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• pp.241-247
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• 2014

본 연구는 고온강도와 화학적 안전성으로 산업기계 구조물의 주요 소재로 사용되고 있는 AISI316 오스테나이트기 스테인레스강의 장시간 등온열처리에 따른 초음파 비선형성 특성을 평가하였다. 장시간 등온열처리는 정해진 시간을 변수로 전기로에서 가속열처리를 수행하였다. 미세조직적으로 정밀분성을 통하여 장시간 열처리에 따른 초음파 비선형성의 변화와 미시적 손상거동을 면밀히 평가하였다. 초음파 비선형성은 1000시간까지 급격하게 감소하고 이후 서서히 감소하였다. 표면조직적으로 입계의 모양이 다각형에서 원형으로 변하며 특히, 1000시간에서는 쌍정이 모두 분해되었다. 입계에 존재하던 델타페라이트는 1000시간에서 관찰되지 않으며 ${\sigma}$상으로 지속적인 변태가 진행되었다. 결과적으로 열처리 초기에는 보이드나 전위의 소멸 그리고 쌍정의 소멸로 초음파 비선형성은 급격히 감소를 하고 이후에는 입계에 $Cr_{23}C_6$석출물의 생성과 ${\sigma}$상 생성으로 초음파 비선형성은 미소하지만 지속적으로 감소한 것으로 판단된다.

• ETRI Journal
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• 제26권3호
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• pp.277-280
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• 2004

The distributions of electric field and induced second-order nonlinearity are analyzed in the periodic poling of optical fibers. A quasi-phase matching efficiency for the induced nonlinearity is calculated in terms of both the electrode separation distance between the applied voltage and generalized electrode width for the periodic poling. Our analysis of the quasi-phase matching efficiency implies that the conversion efficiency can be enhanced through adjusting the separation distance, and the electrode width can be maximized if the electrode width is optimized.