• Title/Summary/Keyword: Dynamic mode decomposition

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A Study on Quantification of Acoustic Amplification Using Dynamic Mode Decomposition Method (Dynamic Mode Decomposition 방법을 이용한 음향 증폭/감쇠 정량화에 관한 연구)

  • Jourdain, Guillaume;Eriksson, Lars-Erik;Kim, Su-Ho;Sohn, Chae-Hoon
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2012.05a
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    • pp.364-366
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    • 2012
  • Quantification of acoustic amplification in a model chamber has been studied for combustion stabilization induced by passive control devices. DMD(Dynamic mode Decomposition) method is adopted and the results from method are compared with those from damping factor approach. The model chamber has a faceplate with baffled injectors, where damping factor has its maximum at a specific baffle gap. They show a good agreement with the results from the previous method.

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

  • Kim, Sung-Wan;Chang, Sung-Jin;Kim, Nam-Sik
    • Proceedings of the KSR Conference
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    • 2008.06a
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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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Applications of Dynamic Mode Decomposition to Unstable Shock-Induced Combustion (충격파 유도 연소의 불안정성 분석을 위한 Dynamic Mode Decomposition 방법의 적용)

  • Kumar, P. Pradeep;Choi, Jeong-Yeol;Son, Jinwoo;Sohn, Chae Hoon
    • Journal of the Korean Society of Propulsion Engineers
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    • v.21 no.2
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    • pp.9-17
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    • 2017
  • Dynamic mode decomposition (DMD) method was applied for the further study of periodical characteristics of the unsteady shock-induced combustion. The case of Lehr's experiments was numerically simulated using 4 levels of grids. FFT result reveals that almost all the grid systems oscillate at frequencies around 430-435 kHz and the measureed one is around 425 kHz. To identify more resonant modes with low frequencies, DMD method is adopted for 4 grid systems. Several major frequencies are extracted and their damping coefficients are calculated at the same time, which is a quantification parameter for combustion stabilization.

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

  • Chang, Sung-Jin;Kim, Nam-Sik
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.28 no.4A
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    • pp.507-515
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    • 2008
  • In this study, a method predicting the displacement response of structures from the measured dynamic strain signal is proposed by using mode decomposition technique. Evaluation of bridge stability is normally focused on the bridge completed. However, dynamic loadings including wind and seismic loadings could be exerted to the bridge under construction. 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. As previous studies on the prediction of displacement response by using the FBG sensors, the static displacement has been mainly predicted. For predicting the dynamic displacement, it has been known that the measured strain signal includes higher modes and then the predicted dynamic displacement can be inherently contaminated by broad-band noises. To overcome such problem, a mode decomposition technique was used. Mode decomposition technique estimates the displacement response of each mode with mode shape estimated to use POD from strain signal and with the measured strain signal decomposed into mode by EMD. This is a method estimating the total displacement response combined with the each displacement response about the major mode of the structure. In order to examine the mode decomposition technique suggested in this study model experiment was performed.

Proper Orthogonal Mode Analysis of AFM Microcantilevers in Dynamic Mode (동적모드 AFM 마이크로캔틸레버의 적합직교모드 해석)

  • Cho, Hong-Mo;Lee, Soo-Il
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2007.11a
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    • pp.606-611
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    • 2007
  • Proper orthogonal decomposition (POD) is a method for extracting bases for modal decomposition from the ensemble of dynamic signals. Using the POD method, we analyzed the proper orthogonal modes (POMs) of AFM microcantilevers in dynamic mode operations such as Tapping Mode. The POMs and POVs (proper orthogonal values) were computed through MATLAB simulation for the 5-mode model of the microcantilever. We found that the POV portion of the higher POMs of the tapping microcanilever slightly increased in comparison with no tapping. This implies that the modal energy in the fundamental mode can be transferred to the higher modes during tapping.

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Effect of Momentum Flux Ratio on Combustion Instabilities in a Model Combustor with a Gas-Centered Swirl Coaxial Injector (기체 중심 스월 동축형 분사기가 장착된 모형연소기의 운동량비 변화에 따른 연소불안정성 분석)

  • Sohn, Chae Hoon;Kim, Myeong Sub;Wang, Yuangang;Yoon, Youngbin
    • Journal of the Korean Society of Propulsion Engineers
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    • v.24 no.4
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    • pp.25-32
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    • 2020
  • A numerical study on combustion instabilities in a model combustor was conducted with various momentum flux ratios. Five ratios are calculated based on an actual operating condition of rocket engine. As momentum flux ratio increases, the spreading angle on the injector outlet decreases. And, as increase of axial momentum flux, pressure fluctuation decreases inside the combustor. By using dynamic mode decomposition method, the acoustic modes inside the combustor are identified. Combustion stabilities are analyzed by comparing the damping coefficient of the 2nd longitudinal mode.

Applied Koopmanistic interpretation of subcritical prism wake physics using the dynamic mode decomposition

  • Cruz Y. Li;Xisheng Lin;Gang Hu;Lei Zhou;Tim K.T. Tse;Yunfei Fu
    • Wind and Structures
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    • v.37 no.3
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    • pp.191-209
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    • 2023
  • This work investigates the subcritical free-shear prism wake at Re=22,000 by the Koopman analysis using the Dynamic Mode Decomposition (DMD) algorithm. The Koopman model linearized nonlinearities in the stochastic, homogeneous anisotropic turbulent wake, generating temporally orthogonal eigen tuples that carry meaningful, coherent structures. Phenomenological analysis of dominant modes revealed their physical interpretations: Mode 1 renders the mean-field dynamics, Modes 2 describes the roll-up of the Strouhal vortex, Mode 3 describes the Bloor-Gerrard vortex resulting from the Kelvin-Helmholtz instability inside shear layers, its superposition onto the Strouhal vortex, and the concurrent flow entrainment, Modes 6 and 10 describe the low-frequency shedding of turbulent separation bubbles (TSBs) and turbulence production, respectively, which contribute to the beating phenomenon in the lift time history and the flapping motion of shear layers, Modes 4, 5, 7, 8, and 9 are the relatively trivial harmonic excitations. This work demonstrates the Koopman analysis' ability to provide insights into free-shear flows. Its success in subcritical turbulence also serves as an excellent reference for applications in other nonlinear, stochastic systems.

Linearized Modeling Technique for Complex Dynamic Responses Using Proper Orthogonal Decomposition (적합직교분해법을 이용한 복잡한 동적응답의 선형화 모델링 기법)

  • Lee, Soo-Il;Hong, Sang-Hyuk
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2008.04a
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    • pp.156-159
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    • 2008
  • Proper orthogonal decomposition is a statistical pattern analysis technique for finding the dominant components, called the proper orthogonal modes, in ensembles of spatially distributed data. We present recent ideas based on proper orthogonal decomposition (POD) and detailed experiments that yield new perspectives into the microscale structures. The linearized modeling technique based on POD is very useful to show the principal characteristics of the complex dynamic responses.

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An Experimental Study on the Combustion Instability Evaluation by Using DMD (DMD 기법을 적용한 모형 가스터빈의 연소불안정성 평가에 관한 실험적 연구)

  • Son, Jinwoo;Sohn, Chae Hoon;Yoon, Jisu;Yoon, Youngbin
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2017.05a
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    • pp.59-60
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    • 2017
  • Combustion instability of gas turbine is performed by adopting dynamic mode decomposition (DMD). The unstable frequencies are calculated and compared with FFT results. The damping coefficient derived from the DMD technique and FFT results were compared and analyzed. OH radical is measured by experimental work and fluctuation field is extracted and FTF was calculated at various points with DMD. The gains of FTF are changed depending on the extraction position of the heat release fluctuation field.

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Proper Orthogonal Mode Extraction of AFM Microcantilevers in Dynamic Mode (동적모드 AFM 마이크로캔틸레버의 적합직교모드 추출)

  • Cho, Hong-Mo;Hong, Sang-Hyuk;Kwon, Won-Tae;Lee, Soo-Il
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2007.05a
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    • pp.264-268
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    • 2007
  • Proper orthogonal decomposition(POD) is a method for extracting bases for modal decomposition from the ensemble of signals. We verified the connection of the proper orthogonal modes(POMs) and the linear normal modes(LNMs) through MATLAB simulation for the simple cantilever and AFM microcantilever models. Using the POMs, we can analyze and model effectively the dynamic mode of AFM microcantievers.

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