• Title/Summary/Keyword: Non-Linearity

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주파수 영역 해석 기법을 이용한 비정규 광대역 과정의 피로해석에 관한 연구 (A Study on Fatigue Analysis of Non-Gaussian Wide Band Process using Frequency-domain Method)

  • 김현진;장범선
    • 대한조선학회논문집
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    • 제55권6호
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    • pp.466-473
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    • 2018
  • Most frequency domain-based approaches assume that structural response should be a Gaussian random process. But a lot of non-Gaussian processes caused by multi-excitation and non-linearity in structural responses or load itself are observed in many real engineering problems. In this study, the effect of non-Normality on fatigue damages are discussed through case study. The accuracy of four frequency domain methods for non-Gaussian processes are compared in the case study. Power-law and Hermite models which are derived for non-Gaussian narrow-banded process tend to estimate fatigue damages less accurate than time domain results in small kurtosis and in case of large kurtosis they give conservative results. Weibull model seems to give conservative results in all environmental conditions considered. Among the four methods, Benascuitti-Tovo model for non-Gaussian process gives the best results in case study. This study could serve as background material for understanding the effect of non-normality on fatigue damages.

유체를 이송하는 직선관의 진동 해석을 위한 새로운 비선형 모델링 (New Non-linear Modelling for Vibration Analysis of a Straight Pipe Conveying Fluid)

  • 이수일;정진태;임형빈
    • 대한기계학회논문집A
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    • 제26권3호
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    • pp.514-520
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    • 2002
  • A new non-linear modelling of a straight pipe conveying fluid is presented for vibration analysis when the pipe is fixed at both ends. Using the Euler-Bernoulli beam theory and the non-linear Lagrange strain theory, from the extended Hamilton's principle are derived the coupled non-linear equations of motion for the longitudinal and transverse displacements. These equations of motion are discretized by using the Galerkin method. After the discretized equations are linearized in the neighbourhood of the equilibrium position, the natural frequencies are computed from the linearized equations. On the other hand, the time histories for the displacements are also obtained by applying the generalized-$\alpha$ time integration method to the non-linear discretized equations. The validity of the new modelling is provided by comparing results from the proposed non-linear equations with those from the equations proposed by Paidoussis.

유체 유동을 갖는 직선관의 진동 해석을 위해 새로운 비선형 모델링 (New Non-linear Modelling for Vibration Analysis of Straight Pipe Conveying Fluid)

  • 이수일;정진태;임형빈
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집B
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    • pp.372-377
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    • 2001
  • A new non-linear of a straight pipe conveying fluid is presented for vibration analysis when the pipe is fixed at both ends. Using the Euler-Bernoulli beam theory and the non-linear Lagrange strain theory, from the extended Hamilton's principle are derived the coupled non-linear equations of motion for the longitudinal and transverse displacements. These equations of motion for are discretized by using the Galerkin method. After the discretized equations are linearized in the neighbourhood of the equilibrium position, the natural frequencies are computed from the linearized equations. On the other hand, the time histories for the displacements are also obtained by applying the $generalized-{\alpha}$ time integration method to the non-linear discretized equations. The validity of the new modeling is provided by comparing results from the proposed non-linear equations with those from the equations proposed by $Pa{\ddot{i}}dousis$.

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연안해역에서 비선형 조석으로 인한 해수면 변화 (Sea Level Change due to Nonlinear Tides in Coastal Region)

  • 정태성
    • 한국해안·해양공학회논문집
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    • 제29권5호
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    • pp.228-238
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    • 2017
  • 우리나라 연안해역에서 조사된 조위 조화상수를 수집하여 조석 분포와 비선형 조석특성의 분포를 조사하고, 국립해양조사원에서 관측한 목포항과 군산외항의 조위자료를 조화분석하여 비선형 조석의 경년변화와 비조화상수(고조위, 저조위, 조차)의 경년변화의 관련성을 검토하였다. 비선형 조석의 발생과 조석형태수가 관련성이 있음을 확인할 수 있었으며, 비선형 분조의 변화는 고조위와 저조위의 변화에 큰 영향을 주었다. 목포항에서는 해안개발로 인해서 비선형 분조의 진폭과 위상이 크게 변화하고, 이로 인해서 고조위가 상승하고, 저조위는 하강하여 조차가 증가하였다. 군산외항에서는 새만금방조제 준공이후에 비선형 조석의 영향으로 고조위는 하강하고, 저조위는 상승하여 조차가 감소하였다.

전기 임피던스 단층촬영법에서 다층 신경회로망을 이용한 표적의 위치와 크기 추정 (The Estimation of the Target Position and Size Using Multi-layer Neural Network in Electrical Impedance Tomography)

  • 김지훈;김찬용;조태현;이인수
    • 한국정보기술학회논문지
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    • 제16권11호
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    • pp.35-41
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    • 2018
  • 전기 임피던스 단층촬영법 (EIT, electrical impedance tomography)은 비파괴검사의 일종으로 관심영역 외부에 설치된 전극에서 측정된 전압으로부터 내부의 저항률분포를 얻는 기술이다. 그러나 EIT에서 영상복원은 타고난 비선형성 (non-linearity)과 부정치성 (ill-posedness) 때문에 만족할만한 복원결과를 얻기 어렵다. 일반적으로 신경회로망은 비선형 시스템의 입력 및 출력 관계를 효율적으로 모델링 할 수 있다. 이 논문은 다층 신경회로망을 이용하여 원형인 표적의 위치(중심좌표)와 크기(반지름)를 추정하는 방법을 제안한다. 제안한 방법의 성능을 알아보기 위해, 신경회로망을 학습시키고 다양한 컴퓨터 모의실험을 수행하였고 결과로부터 제안한 방법의 만족할만한 추정성능을 확인할 수 있었다.

Adaptive control of rotationally non-linear asymmetric structures under seismic loads

  • Amini, Fereidoun;Rezazadeh, Hassan;Afshar, Majid Amin
    • Structural Engineering and Mechanics
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    • 제65권6호
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    • pp.721-730
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    • 2018
  • This paper aims to inspect the effectiveness of the Simple Adaptive Control Method (SACM) to control the response of asymmetric buildings with rotationally non-linear behavior under seismic loads. SACM is a direct control method and was previously used to improve the performance of linear and non-linear structures. In most of these studies, the modeled structures were two-dimensional shear buildings. In reality, the building plans might be asymmetric, which cause the buildings to experience torsional motions under earthquake excitation. In this study, SACM is used to improve the performance of asymmetric buildings, and unlike conventional linear models, the non-linear inertial coupling terms are considered in the equations of motion. SACM performance is compared with the Linear Quadratic Regulator (LQR) algorithm. Moreover, the LQR algorithm is modified, so that it is appropriate for rotationally non-linear buildings. Active tuned mass dampers are used to improve the performance of the modeled buildings. The results show that SACM is successful in reducing the response of asymmetric buildings with rotationally non-linear behavior under earthquake excitation. Furthermore, the results of the SACM were very close to those of the LQR algorithm.

유체를 수송하는 반원형 곡선관의 면내운동에 대한 비선형 진동 해석 (Non-linear Vibration Analysis for the In-plane Motion of a Semi-circular Pipe Conveying Fluid)

  • 정두한;정진태
    • 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.

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확장 해밀턴 이론에 근거한 탄점소성 시스템의 시간유한요소해석법 (A Temporal Finite Element Method for Elasto-Viscoplasticity through the Extended Framework of Hamilton's Principle)

  • 김진규
    • 한국공간구조학회논문집
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    • 제14권1호
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    • pp.101-108
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    • 2014
  • In order to overcome the key shortcoming of Hamilton's principle, recently, the extended framework of Hamilton's principle was developed. To investigate its potential in further applications especially for material non-linearity problems, the focus is initially on a classical single-degree-of-freedom elasto-viscoplastic model. More specifically, the extended framework is applied to the single-degree-of-freedom elasto-viscoplastic model, and a corresponding weak form is numerically implemented through a temporal finite element approach. The method provides a non-iterative algorithm along with unconditional stability with respect to the time step, while yielding whole information to investigate the further dynamics of the considered system.

GMDH 알고리즘을 이용한 정확한 카메라의 보정기법 (Accurate Camera Calibration Using GMDH Algorithm)

  • 김명환;도용태
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2004년도 학술대회 논문집 정보 및 제어부문
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    • pp.592-594
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    • 2004
  • Camera calibration is an important problem to determine the relationship between 3D real world and 2D camera image. The existing calibration methods can be classified into linear and non-linear models. The linear methods are simple and robust against noise, but the accuracy expectation is generally poor. In comparison, if the non-linearity, which is due mainly to lens distortion, is corrected, the accuracy can be better. However, as the optical features of lens are diverse, no non-linear method can be always effective for diverse vision systems. In this paper, we propose a new approach to correct the calibration error of a linear method using GMDH algorithm. The proposed technique is simple in concept and showed improved accuracy in various cases.

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사각형 외팔보에서의 일대일 공진 (One to one Resonance on the Rectangular Cantilever Beam)

  • 김명구;박철희;조종두;이흥식
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2005년도 춘계학술대회논문집
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    • pp.424-429
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    • 2005
  • In this paper, the response characteristics of one to one resonance on the rectangular cantilever beam in which basic harmonic excitations are applied by nonlinear coupled differential integral equations are studied. This equations have 3-dimensional non-linearity of nonlinear inertia and nonlinear curvature. Galerkin and multi scale methods are used for theoretical approach to one to one internal resonance. Nonlinear response characteristics of 1st, 2nd, 3rd modes are measured from the experiment for basic harmonic excitation. From the experimental result, geometrical terms of nonlinearity display light spring effect and these terms play an important role in the response characteristics of low frequency modes. Dynamic behaviors in the out of plane are also studied.

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