• Title/Summary/Keyword: Mode instability

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Dynamic Instability and Instantaneous Frequency of a Shallow Arch With Asymmetric Initial Conditions (비대칭 초기 조건을 갖는 얕은 아치의 동적 불안정과 순시 주파수 변화)

  • Shon, Sudeok;Ha, Junhong
    • Journal of Korean Association for Spatial Structures
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    • v.20 no.2
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    • pp.77-85
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    • 2020
  • This paper examined the dynamic instability of a shallow arch according to the response characteristics when nearing critical loads. The frequency changing feathers of the time-domain increasing the loads are analyzed using Fast Fourier Transformation (FFT), while the response signal around the critical loads are analyzed using Hilbert-Huang Transformation (HHT). This study reveals that the models with an arch shape of h = 3 or higher exhibit buckling, which is very sensitive to the asymmetric initial conditions. Also, the critical buckling load increases as the shape increases, with its feather varying depending on the asymmetric initial conditions. Decomposition results show the decrease in predominant frequency before the threshold as the load increases, and the predominant period doubles at the critical level. In the vicinity of the critical level, sections rapidly manifest the displacement increase, with the changes in Instantaneous Frequency (IF) and Instant Energy (IE) becoming apparent.

An experimental study on the instability of lean premixed turbulent combustion induced by thermo-acoustics (열-음향에 의한 난류희박 예혼합연소의 불안정성에 관한 실험적 연구)

  • Hong, Jung-Goo;Lee, Min-Chul;Shin, Hyun-Dong
    • Proceedings of the KSME Conference
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    • 2004.11a
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    • pp.1166-1171
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    • 2004
  • The combustion instability acts as a serious obstacle for the lean premixed combustion of gas turbine and even causes the fatal damage to the combustor and whole system. In this experiment, the pressure fluctuation is highly related to the stabilizing position of flame and fuel injection location. The fuel injection location is connected with the convection time of the fresh mixture, which is important time scale to refresh the mixtures near the flame stabilization location. The flame is extremely unstable when the alternative stabilization occurs and bulk mode frequency (${\sim}10Hz$) of pressure fluctuation is observed in this condition. It was found that the convection time scale of the fresh reactant coincided with the time scale of the bulk mode fluctuation. Hence this phenomenon results from the local equivalence ratio change caused by the pressure fluctuation induced by thermo-acoustic effects.

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Theoretical Study on Acoustic Instability in Liquid Rocket Engine (액체 로켓 엔진의 음향 불안정 예측에 관한 이론적 연구)

  • Sohn, Chae-Hoon
    • 한국연소학회:학술대회논문집
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    • 2000.12a
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    • pp.92-100
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    • 2000
  • One method to analyse acoustic modes is proposed to predict the characteristics of acoustic instability in liquid rocket engine. It is based on the similarity between transverse acoustic modes and adopts two-dimensional axisymmetric geometry. Using this method, the first tangential mode in the prototype combustor can be analysed through the analysis of the first radial mode in the model combustor with doubled chamber diameter. Sample numerical calculation is demonstrated applying this method to sample rocket engine and thereby acoustic instabilities of the engine are investigated. The present results show a good agreement with the previous findings. The numerical analysis based on the proposed method is cost-effective and serves as the first approximation to the true solution.

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Simplified formulations for flutter instability analysis of bridge deck

  • Vu, Tan-Van;Kim, Young-Min;Han, Tong-Seok;Lee, Hak-Eun
    • Wind and Structures
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    • v.14 no.4
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    • pp.359-381
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    • 2011
  • This paper deals with the flutter instability problem of flexible bridge decks in the framework of bimodal-coupled aeroelastic bridge system analysis. Based on the analysis of coefficients of the polynomials deduced from the singularity conditions of an integral wind-structure impedance matrix, a set of simplified formulations for calculating the critical wind velocity and coupled frequency are presented. Several case studies are discussed and comparisons with available approximated approaches are made and presented, along with a conventional complex eigenvalue analysis and numerical results. From the results, it is found that the formulas that are presented in this study are applicable to a variety of bridge cross sections that are not only prone to coupled-mode but also to single-mode-dominated flutter.

Design and Test of Oxidizer-Rich Triplex Injector Preburner (산화제 과잉 삼중분사기 예연소기 개발 시험)

  • Ha, Seong-Up;Moon, Il-Yoon;Kang, Sang-Hun;Moon, In-Sang;Lee, Soo-Yong
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2012.05a
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    • pp.76-80
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    • 2012
  • Uni-element preburners using a oxidizer-rich triplex injector have been designed and tested. During combustion tests 1L mode high-frequency instability of 1100 Hz and low-frequency instability of 100 Hz were observed. High-frequency instability has been suppressed by reducing chamber diameter and applying turbulent rings in combustion chamber. Recently, research to reduce low-frequency instability is in progress.

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Study on the Dynamic Torsional Instability of a Thin Beam (비틀림 하중을 받는 얇은 빔의 동적 불안정성에 관한 연구)

  • 박진선;주재만;박철희
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1995.10a
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    • pp.185-190
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    • 1995
  • In recent years, many researcher have been interested in the stability of a thin beam. Among them, Pai and Nayfeh[1] had investigated the nonplanar motion of the cantilever beam under lateral base excitation and chaotic motion, but this study is associated with internal resonance, i.e. one to one resonance. Also Cusumano[2] had made an experiment on a thin beam, called Elastica, under bending loads. In this experiment, he had shown that there exists out-of-plane motion, involving the bending and the torsional mode. Pak et al.[3] verified the validity of Cusumano's experimental works theoretically and defined the existence of Non-Local Mode(NLM), which is came out due to the instability of torsional mode and the corresponding aspect of motions by using the Normal Modes. Lee[4] studied on a thin beam under bending loads and investigated the routes to chaos by using forcing amplitude as a control parameter. In this paper, we are interested in the motion of a thin beam under torsional loads. Here the form of force based on the natural forcing function is used. Consequently, it is found that small torsional loads result in instability and in case that the forcing amplitude is increasing gradually, the motion appears in the form of dynamic double potential well, finally leads to complex motion. This phenomenon is investigated through the poincare map and time response. We also check that Harmonic Balance Method(H.B.M.) is a suitable tool to calculate the bifurcated modes.

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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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Stability Analysis of the Hydraulic System for a Dual Arm Work Module (이중 암 작업모듈 유압시스템의 안정성 해석)

  • Lee, Jae-Cheon
    • Proceedings of the KSME Conference
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    • 2001.06b
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    • pp.283-288
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    • 2001
  • This study provides analytical evaluation of the Dual-Ann Work Module. The current hydraulic system was modeled using the HyPneu and analyzed to find the cause of the instability. The cause of the instability was determined to be primarily an interacting involving the pilot operated check valves and the counterbalance valves for fail safe mode of operation. A new design concept was developed to eliminate the potential for unstable operation while adequately meeting the need for a fail-safe feature.

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FDF-based analysis of nonlinear combustion instability in the lean premixed combustor (FDF를 이용한 메탄 희박 예혼합 연소기의 비선형 열음향학적 불안정성 해석)

  • Oh, Seungtaek;Shin, Yungjun;Kim, Yongmo
    • 한국연소학회:학술대회논문집
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    • 2015.12a
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    • pp.115-116
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    • 2015
  • In the present approach, the flame-acoustics interaction is represented by FDF (Flame Describing Function) which is a important source term in the Helmholtz' equation. In this study, the combustion instability is analyzed by the forced mode strategy with the measured FDF. Numerical results indicate that the present approach reasonably well predicts the essential features of the combustion instability characteristics in the lean premixed combustor under the gas-turbine like environment.

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Secondary Instability in the Wake of a Circular Cylinder (원주 후류에서의 2차적 불안정성)

  • KNAG S. J.;TANAHASHI M.;MIYAUCHI T.;LEE Y. H.
    • 한국전산유체공학회:학술대회논문집
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    • 2001.10a
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    • pp.84-90
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    • 2001
  • Secondary instability of flow past a circular cylinder is examined using direct numerical simulation at Reynolds number 220 and 250. The higher-order finite difference scheme is employed for the spatial distributions along with the second order Adams-Bashforth and the first order backward-Euler time integration. In x-y plane, the convection term is applied by the 5th order upwind scheme, and the pressure and viscosity terms are applied by the 4th order central difference. In spanwise, Navier-Stokes equation is distributed using Spectral Method. The critical Reynolds number for this instability is found to be about Re=190. The secondary instability leads re three-dimensionality with a spanwise wavelength about 4 cylinder diameters at onset (A-mode). Results of three-dimensional effect in wake of a circular cylinder are represented with spanwise and streamwise vorticity contours as Reynolds numbers.

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