• 제목/요약/키워드: Proper Orthogonal Decomposition(POD)

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모드분해기법을 이용한 동적 변형률신호로부터 변위응답추정 (Estimation of Displacement Responses from the Measured Dynamic Strain Signals Using Mode Decomposition Technique)

  • 김성완;장성진;김남식
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2008년도 춘계학술대회 논문집
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    • pp.109-117
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    • 2008
  • In this study, a method predicting the displacement responseof structures from the measured dynamic strain signal is proposed by using a mode decomposition technique. Dynamic loadings including wind and seismic loadings could be exerted to the bridge. In order to examine the bridge stability against these dynamic loadings, the prediction of displacement response is very important to evaluate bridge stability. Because it may be not easy for the displacement response to be acquired directly on site, an indirect method to predict the displacement response is needed. Thus, as an alternative for predicting the displacement response indirectly, the conversion of the measured strain signal into the displacement response is suggested, while the measured strain signal can be obtained using fiber optic Bragg-grating (FBG) sensors. To overcome such a problem, a mode decomposition technique was used in this study. The measured strain signal is decomposed into each modal component by using the empirical mode decomposition(EMD) as one of mode decomposition techniques. Then, the decomposed strain signals on each modal component are transformed into the modal displacement components. And the corresponding mode shapes can be also estimated by using the proper orthogonal decomposition(POD) from the measured strain signal. Thus, total displacement response could be predicted from combining the modal displacement components.

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적합직교분해(POD)기법을 사용한 난류 응집구조 거동에 관한 연구 (A Study on the Effect of Large Coherent Structures to the Skin Friction by POD Analysis)

  • 신성윤;정광효;강용덕;서성부;김진;안남현
    • 대한조선학회논문집
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    • 제54권5호
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    • pp.406-414
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    • 2017
  • An experimental study in a recirculating water channel was carried out to investigate the effect of large coherent structures to the skin friction on a flat plate. Particle Image Velocimetry (PIV) technique was used to quantify characteristic features of coherent structures growing to the boundary layer. In the PIV measurement, it is difficult to calculate the friction velocity near the wall region due to laser deflection and uncertainty so that Clauser fitting method at the logarithmic region was adopted to compute the friction velocity and compared with the one directly measured by the dynamometer. With changing the free-stream velocity from 0.5 m/s to 1.0 m/s, the activity of coherent structures in the logarithmic region was increased over three times in terms of Reynolds stress. The flow field was separated by Variable Interval Time Averaging (VITA) technique into the weak and the strong structure case depending on the existence large coherent structures in order to validate its effectiveness. The stream-wise velocity fluctuation was scanned through at the boundary thickness whether it had a large deviation from background flow. With coherent structures connected from near-wall to the boundary layer, mean wall shear stress was higher than that of weak structure case. Proper Orthogonal Decomposition (POD) analysis was also applied to compare the energy budget between them at each free-stream velocity.

Wind loads on fixed-roof cylindrical tanks with very low aspect ratio

  • Lin, Yin;Zhao, Yang
    • Wind and Structures
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    • 제18권6호
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    • pp.651-668
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    • 2014
  • Wind tunnel tests are conducted to investigate the wind loads on vertical fixed-roof cylindrical tanks with a very low aspect ratio of 0.275, which is a typical ratio for practical tanks with a volume of $100,000m^3$. Both the flat-roof tank and the dome-roof tank are investigated in present study. The first four moments of the measured wind pressure, including the mean and normalized deviation pressure, kurtosis and skewness of the pressure signal, are obtained to study the feature of the wind loads. It is shown that the wind loads are closely related to the behavior of flow around the structure. For either tank, the mean wind pressures on the cylinder are positive on the windward area and negative on the sides and the wake area, and the mean wind pressures on the whole roof are negative. The roof configurations have no considerable influence on the mean pressure distributions of cylindrical wall in general. Highly non-Gaussian feature is found in either tank. Conditional sampling technique, envelope method, and the proper orthogonal decomposition (POD) analysis are employed to investigate the characteristics of wind loads on the cylinder in more detail. It is shown that the patterns of wind pressure obtained from conditional sampling are similar to the mean pressure patterns.An instantaneous pressure coefficient can present a wide range from the maximum value to the minimum value. The quasi-steady assumption is not valid for structures considered in this paper according to the POD analysis.

Time-resolved PIV와 POD기법을 이용한 유량에 따른 단일노즐 버블링 유동 특성에 관한 연구 (Characteristics of Bubble-driven Flow with Varying Flow Rates by Using Time-resolved PIV and POD Technique)

  • 이승재;김종욱;김현동;김경천
    • 한국가시화정보학회지
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    • 제6권2호
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    • pp.14-19
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    • 2008
  • In this paper, the recirculation flow motion and mixing characteristics driven by air bubble flow in a rectangular water tank is studied. The Time-resolved PIV technique is adopted for the quantitative visualization and analysis. 532 nm Diode CW laser is used for illumination and orange fluorescent particle images are acquired by a PCO 10bit high-speed camera. To obtain clean particle images, 545 nm long pass optical filter and an image intensifier are employed and the flow rates of compressed air is changed from 2 l/min to 4 l/min at 0.5 MPa. The recirculation and mixing flow field is further investigated by the POD analysis technique. It is observed that the large scale counterclockwise rotation and main vortex is generated in the upper half depth from the free surface and one quarter width from the sidewall. When the flow rates are increased, the main vortex core is moved to the side and bottom wall direction.

Time-resolved PIV와 POD기법을 이용한 단일노즐 버블링 유동 특성에 관한 연구 (Characteristics of Bubble-driven Flow by Using Time-resolved PIV and POD Technique)

  • 이승재;김종욱;김현동;김경천
    • 한국가시화정보학회지
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    • 제6권1호
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    • pp.41-46
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    • 2008
  • In this paper, the recirculation flow motion and mixing characteristics driven by air bubble stream in a rectangular water tank is studied. The time-resolved PIV technique is adopted for the quantitative visualization and analysis. 488 nm Ar-ion CW laser is used for illumination and orange fluorescent ($\lambda_{ex}=540nm,\;\lambda_{em}=560nm$) particle images are acquired by a PCO 10bit high-speed CCD camera (1280$\times$1024). To obtain clean particle images, 545 nm long pass optical filter and an image intensifier are employed and the flow rates of compressed air is 3 l/min at 0.5 MPa. The recirculation and mixing flow field is further investigated by time-resolved POD analysis technique. It is observed that the large scale recirculation resulting from the interaction between rising bubble stream and side wall is the most dominant flow structure and there are small scale vortex structures moving along with large scale recirculation flow. It is also verified that the sum of 20 modes of velocity field has about 67.4% of total turbulent energy.

등가강성요소 모델을 이용한 AFM 마이크로캔틸레버의 진동해석 (Vibration Analysis of AFM Microcantilevers Using an Equivalent Stiffness Element Model)

  • 한동희;김일광;이수일
    • 대한기계학회논문집A
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    • 제39권5호
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    • pp.461-466
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    • 2015
  • 원자현미경(AFM)은 마이크로캔틸레버 끝단의 팁이 시료에 다가갈 때 발생하는 팁과 시료 표면 사이의 상호작용을 이용하여 시료의 다양한 특성들을 찾아내는 매우 유용한 도구이다. 본 논문에서는 이러한 AFM 마이크로캔틸레버의 팁과 시료 사이의 상호작용력을 비선형 스프링을 이용하여 동일한 강성을 갖는 요소로 모델링 하였고 유한요소법을 이용하여 시뮬레이션을 수행하였다. 또한 시뮬레이션 결과를 적합직교분해법을 이용하여 분석함으로써 AFM 마이크로캔틸레버의 복잡한 동적 특성을 파악하였으며 이를 같은 방법으로 분석한 실험 결과와 비교하였다. 그 결과 팁과 시료 사이의 상호작용력을 효과적으로 모델링 할 수 있는 방법을 제시하였으며 이러한 상호작용력으로 인해 고차모드의 영향이 증가함을 확인하였다.

An efficient method for universal equivalent static wind loads on long-span roof structures

  • Luo, Nan;Liao, Haili;Li, Mingshui
    • Wind and Structures
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    • 제25권5호
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    • pp.493-506
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    • 2017
  • Wind-induced response behavior of long-span roof structures is very complicated, showing significant contributions of multiple vibration modes. The largest load effects in a huge number of members should be considered for the sake of the equivalent static wind loads (ESWLs). Studies on essential matters and necessary conditions of the universal ESWLs are discussed. An efficient method for universal ESWLs on long-span roof structures is proposed. The generalized resuming forces including both the external wind loads and inertial forces are defined. Then, the universal ESWLs are given by a combination of eigenmodes calculated by proper orthogonal decomposition (POD) analysis. Firstly, the least squares method is applied to a matrix of eigenmodes by using the influence function. Then, the universal ESWLs distribution is obtained which reproduces the largest load effects simultaneously. Secondly, by choosing the eigenmodes of generalized resuming forces as the basic loading distribution vectors, this method becomes efficient. Meanwhile, by using the constraint equations, the universal ESWLs becomes reasonable. Finally, reproduced largest load effects by load-response-correlation (LRC) ESWLs and universal ESWLs are compared with the actual largest load effects obtained by the time domain response analysis for a long-span roof structure. The results demonstrate the feasibility and usefulness of the proposed universal ESWLs method.

POD-based representation of the alongwind Equivalent Static Force for long-span bridges

  • Fiore, Alessandra;Monaco, Pietro
    • Wind and Structures
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    • 제12권3호
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    • pp.239-257
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    • 2009
  • This paper develops and discusses a method by which it is possible to evaluate the Equivalent Static Force (ESF) of wind in the case of long-span bridges. Attention is focused on the alongwind direction. The study herein carried out deals with the classical problems of determining the maximum effects due to the alongwind action and the corresponding ESFs. The mean value of the maximum alongwind displacement of the deck is firstly obtained both by the spectral analysis and the Gust Response Factor (GRF) technique. Successively, in order to derive the other wind-induced effects acting on the deck, the Gust Effect Factor (GEF) technique is extended to long-span bridges. By adopting the GRF technique, it is possible to define the ESF that applied on the structure produces the maximum alongwind displacement. Nevertheless the application of the ESF so obtained does not furnish the correct maximum values of other wind-induced effects acting on the deck such as bending moments or shears. Based on this observation, a new technique is proposed which allows to define an ESF able to simultaneously reproduce the maximum alongwind effects of the bridge deck. The proposed technique is based on the GEF and the POD techniques and represents a valid instrument of research for the understanding of the wind excitation mechanism.

사각탱크 내부의 기포구동유동에 대한 동특성 연구 (Dynamic Analysis of Bubble-Driven Liquid Flows in a Rectangular Tank)

  • 김상문;이승재;김현동;김종욱;김경천
    • 한국가시화정보학회지
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    • 제8권1호
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    • pp.31-38
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    • 2010
  • An experimental study to evaluate dynamic structures of flow and turbulence characteristics in bubble-driven liquid flow in a rectangular tank with a varying flow rate of compressed air is conducted. Liquid flow fields are measured by time-resolved particle image velocimetry (PIV) with fluorescent tracer particles to eliminate diffused reflections, and by an image intensifier to acquire enhanced clean particle images. Instantaneous vector fields are investigated by using the two frame cross-correlation function and bad vectors are eliminated by magnitude difference technique. By proper orthogonal decomposition (POD) analysis, the energy distributions of spatial and temporal modes are acquired. When Reynolds number increases, bubble-induced turbulent motion becomes dominant rather than the recirculating flow near the side wall. The total kinetic energy transferred to the liquid from the rising bubbles shows a nonlinear relation regarding the energy input because of the interaction between bubbles and free surface.

모드분해기법을 이용한 동적 변형률신호로부터 변위응답추정 (Estimation of Displacement Response from the Measured Dynamic Strain Signals Using Mode Decomposition Technique)

  • 장성진;김남식
    • 대한토목학회논문집
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    • 제28권4A호
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    • pp.507-515
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    • 2008
  • 본 연구에서는 모드분해기법을 이용한 변형률신호로부터 변위응답추정 방법을 개발하였다. 일반적으로 교량의 안정성평가는 완공 후에 초점이 맞추어져 있다. 하지만 가설 중에도 풍하중과 지진하중과 같은 동적하중에 노출되어 있으며, 이런 동적하중에 대한 안정성을 검토하기 위해 교량의 안정성 평가에 있어 중요한 인자인 변위를 추정하는 것이 중요하다. 그러나 건설현장에서의 적절한 변위측정 방법의 부재로 인하여 대형구조물의 전체적인 변위를 측정할 수 없는 것이 현실이다. 본 연구에서는 간접적으로 변위를 추정하는 방법인 변형률로 변위를 추정하는 방법을 제시하였으며, 광섬유 브래그 격자 센서(fiber optic Bragg-grating sensor)를 사용하여 변형률을 계측하였다. 기존에도 FBG센서를 이용한 변위추정 방법이 있었으며 기존의 방법으로는 정적하중에 대한 변위추정은 가능하였으나 고차 모드의 변형률신호와 노이즈의 영향 때문에 동적하중에 대한 변위추정은 많은 오차가 발생하여 정확한 변위추정이 어려웠다. 이런 오차를 줄이는 방법으로 모드분해기법을 사용하였다. 모드분해기법은 변형률신호로부터 proper orthogonal decomposition(POD)을 이용하여 추정한 모드형상과 empirical mode decomposition(EMD)을 이용하여 모드 분해한 변형률신호로 모드별 변위응답을 추정하고, 구조물의 주요 모드에 대한 변위응답을 합하여 전체변위응답을 추정하는 방법이다. 제안한 모드분해기법을 검증하기 위해 실내모형실험을 수행하였다.