• 제목/요약/키워드: instability analysis

검색결과 1,621건 처리시간 0.025초

Nature of the Wiggle Instability of Galactic Spiral Shocks

  • Kim, Woong-Tae;Kim, Yonghwi;Kim, Jeong-Gyu
    • 천문학회보
    • /
    • 제39권1호
    • /
    • pp.37.2-37.2
    • /
    • 2014
  • Gas in disk galaxies interacts nonlinearly with a underlying stellar spiral potential to form galactic spiral shocks. Numerical simulations typically show that these shocks are unstable to the wiggle instability, forming non-axisymmetric structures with high vorticity. While previous studies suggested that the wiggle instability may arise from the Kelvin-Helmholtz instability or orbit crowding of gas elements near the shock, its physical nature remains uncertain. It was even argued that the wiggle instability is of numerical origin, caused by the inability of a numerical code to resolve a shock that is inclined to numerical grids. In this work, we perform a normal-mode linear stability analysis of galactic spiral shocks as a boundary-value problem. We find that the wiggle instability originates physically from the potential vorticity generation at a distorted shock front. As the gas follows galaxy rotation, it periodically passes through multiple shocks, successively increasing its potential vorticity. This sets up a normal-mode that grows exponentially, with a growth rate comparable to the orbital angular frequency. We show that the results of our linear stability analysis are in good agreement with the those of local hydrodynamic simulations of the wiggle instability.

  • PDF

이산형 열-음향 모델을 이용한 부하 변동시 가스터빈 연소 불안정 특성 (Combustion Instability of Gas Turbine with Segmented Dynamic Thermo-Acoustic Model under Load Follow-Up)

  • 정지웅;한재영;정진희;유상석
    • 한국수소및신에너지학회논문집
    • /
    • 제29권5호
    • /
    • pp.538-548
    • /
    • 2018
  • The thermo-acoustic instability in the combustion process of a gas turbine is caused by the interaction of the heat release mechanism and the pressure perturbation. These acoustic vibrations cause fatigue failure of the combustor and decrease the combustion efficiency. This study is to develop a segmented dynamic thermo-acoustic model to understand combustion instability of gas turbine. Therefore, this study required a dynamic analysis rather than static analysis, and developed a segmented model that can analyze the performance of the system over time using the Matlab/Simulink. The developed model can confirm the thermo-acoustic combustion instability and exhaust gas concentration in the combustion chamber according to the equivalent ratio change, and confirm the thermo-acoustic combustion instability for the inlet temperature and the load changes. As a result, segmented dynamic thermo-acoustic model has been developed to analyze combustion instability under the operating condition.

Reliability and Validity of the Side-lying Instability and Prone Instability Tests in Patients with Lumbar Segmental Instability

  • Kim, Bo-Eon;Lee, Kwan-Woo;Park, Dae-Sung
    • 대한물리의학회지
    • /
    • 제16권1호
    • /
    • pp.1-7
    • /
    • 2021
  • PURPOSE: The purpose of this study is to conduct inter-rater and intra-rater reliability tests in patients with low back pain (LBP) using the prone instability test (PIT) and side-lying instability test (SIT). We have analyzed the Korean version Oswestry disability index (K-ODI) correlations and radiograph finding (RF) for validity. METHODS: Individuals (n = 51) (mean age of 40.27 ± 13.28) with LBP for at least over a week were recruited, together with two participating physical therapist examiners. The measurement consisted of PIT, PST, K-ODI, and RF. Sensitivity (Sn), specificity (Sp), positive predictive value, negative predictive value, prevalence index, agreement %, Cohen's kappa, and prevalence-adjusted bias-adjusted kappa (PABAK) were calculated. The PIT and SIT were compared with RF for validity analysis, while PIT, SIT, K-ODI, and RF were calculated for the correlation analysis. RESULTS: The intra-rater reliability test measured for the PIT (kappa = .79, PABAK = .88) and SIT (kappa = .73, PABAK = .84), and inter-rater reliability test measured for the SIT (kappa = .80, PABAK = .88) showed good agreements. The PIT (Sn = .65, Sp = .63) and SIT validities (Sn = .68, Sp = .70) were compared with RF, showing a significant correlation in PIT and RF (r = .69), SIT and RF (r = .73), and PIT and K-ODI (r = .53). CONCLUSION: The SIT is a more comfortable position test than the PIT in patients. Both PIT and SIT have acceptable reliability and validity.

연소 불안정 예측을 위한 열음향 해석 모델 - Part 2 : 비선형 안정성 해석 (Thermoacoustic Analysis Model for Combustion Instability Prediction - Part 2 : Nonlinear Instability Analysis)

  • 김대식;김규태
    • 한국추진공학회지
    • /
    • 제16권6호
    • /
    • pp.41-47
    • /
    • 2012
  • 연소 불안정 현상을 완전하게 이해하기 위해서는 천이 과정과 한계 진폭과 같은 비선형 거동에 대한 예측이 매우 중요하다. 가스터빈 희박 예혼합 연소기에서 이러한 비선형 거동은 화염의 비선형 동특성에 크게 의존하게 된다. 본 연구에서는 기존에 선형 해석으로부터 비선형 열음향 해석으로 확장하기 위해서 화염 묘사 함수를 통한 시스템 안정성 해석 기법이 소개되었다. 이를 위하여, 주파수 뿐만 아니라 속도 진폭에 따른 열발생율의 변동 특성이 실험 결과로부터 모델링되었다. 현재 해석 조건에서 비선형 모델링 결과, 주어진 연소기 길이에서 속도 진폭이 불안정 주파수에 미치는 영향은 미비하였으나, 성장률에는 크게 영향을 미치는 것으로 나타났다. 향후 다양한 조건에서 비선형 모델의 검증과 한계 진폭의 예측 결과에 대한 실험 결과와의 비교가 요구된다.

Coupled temperature-displacement modeling to study the thermo-elastic instability in disc brakes

  • Ramkumar, E.;Mayuram, M.M.
    • Coupled systems mechanics
    • /
    • 제1권2호
    • /
    • pp.165-182
    • /
    • 2012
  • Macroscopic hot spots formed due to the large thermal gradients at the surface of the disc brake rotor, make the rotor to fail or wear out early. Thermo-elastic deformation results in contact concentration, leading to the non uniform distribution of temperature making the disc susceptible to hot spot formation. The formation of one hot spot event will predispose the system to future hot spotting at the same location. This leads to the complete thermo-elastic instability in the disc brakes; multitude parameters are responsible for the thermo elastic instability. The predominant factor is the sliding velocity and above a certain sliding velocity the instability of the brake system occurs and hot spots is formed in the surface of the disc brake. Commercial finite element package ABAQUS(R) is used to find the temperature distribution and the result is validated using Rowson's analytical model. A coupled analysis methodology is evolved for the automotive disc brake from the transient thermo-elastic contact analysis. Temperature variation is studied under different sliding speeds within the operation range.

Geiger형 케이블 돔 구조물의 외력에 따른 동적 불안정 특성 비교분석 (A Comparative Analysis of Dynamic Instability Characteristic of Geiger-Typed Cable Dome Structures by Load Condition)

  • 김승덕;신인아
    • 한국공간구조학회논문집
    • /
    • 제14권1호
    • /
    • pp.85-91
    • /
    • 2014
  • The purpose of this paper is to study comparative of dynamic instability characteristic of Geiger-typed cable dome structures by load condition, which is well-known among the cable dome structures that are the lightweight hybrid structure using compression and tension element continuously. Dynamic buckling process in the phase plane is very important thing for understanding why unstable phenomena are sensitively originated in nonlinear dynamic by various initial conditions. But there is no paper for the dynamic instability of hybrid cable dome by Sinusoidal Excitations, many papers which deal with the dynamic instability for shell-structures under the step load have been published. As a result of Geiger-typed cable dome, which shows chaotic behavior in dynamic nonlinear analysis with initial imperfection.

지진하중을 받는 대각선 철골 중심가새골조의 동적 불안정 거동 (Dynamic Instability Behavior of Diagonally Braced Steel Frames under Seismic Excitation)

  • 이철호;김정재
    • 한국지진공학회:학술대회논문집
    • /
    • 한국지진공학회 2005년도 학술발표회 논문집
    • /
    • pp.129-136
    • /
    • 2005
  • Concentrically braced steel frames are considered as being quite prone to soft-story response due to the degradation in brace compressive resistance after buckling under severe ground motions. When combined with the system P-Delta effects, collapse of the concentrically braced frames by dynamic instability becomes a highly probable. In this study, a new, relatively simple dynamic instability coefficient was proposed for diagonally braced steel frames by considering the strength degradation of the brace after buckling. Nonlinear dynamic analysis was conducted to check the robustness of the proposed index based on simulated ground motions. The analysis results showed that the dynamic instability index proposed predicts the collapse potential more consistently than the conventional one. Dynamic instability was triggered when the index value was close to 0.7.

  • PDF

Rijke 튜브의 열음향학적 불안정 현상의 시스템 식별을 위한 실험 및 데이터 분석 (Experiment and data analysis for system identification of thermoacoustic instability in a Rijke tube)

  • 나선화;고상호;구자예
    • 한국추진공학회:학술대회논문집
    • /
    • 한국추진공학회 2010년도 제35회 추계학술대회논문집
    • /
    • pp.809-813
    • /
    • 2010
  • 열음향학적 불안정성의 동역학적 저차 모델링 기법 개발을 위해 전기적으로 가열되는 Rijke 튜브 실험 장치를 구성하고, 불안정성으로 인해 발생되는 튜브 내의 압력 진동을 측정하였다. 측정된 데이터로부터 압력 신호의 주파수 스펙트럼을 분석한 결과 3개의 주요한 진동모드를 관측할 수 있었으며 특히 첫 번째 모드 주파수는 단순한 열음향학적 해석 결과와도 거의 일치하는 것을 확인하였다. 이러한 실험 자료와 데이터 분석을 바탕으로 추후 열음향학적 불안정현상의 저차 모델링을 수행할 예정이다.

  • PDF

A Combustion Instability Analysis of a Model Gas Turbine Combustor by the Transfer Matrix Method

  • Cha, Dong-Jin;Kim, Jay-H.;Joo, Yong-Jin
    • 대한기계학회:학술대회논문집
    • /
    • 대한기계학회 2008년도 추계학술대회B
    • /
    • pp.2946-2951
    • /
    • 2008
  • Combustion instability is a major issue in design of gas turbine combustors for efficient operation with low emissions. Combustion instability is induced by the interaction of the unsteady heat release of the combustion process and the change in the acoustic pressure in the combustion chamber. In an effort to develop a technique to predict self-excited combustion instability of gas turbine combustors, a new stability analysis method based on the transfer matrix method is developed. The method views the combustion system as a one-dimensional acoustic system with a side branch and describes the heat source as the input to the system. This approach makes it possible to use the advantages of not only the transfer matrix method but also well-established classic control theories. The approach is applied to a simple gas turbine combustion system to demonstrate the validity and effectiveness of the approach.

  • PDF

3차원 유한요소해석 기법을 사용한 수소-천연가스 혼소 가스터빈 연소기에서의 연소불안정 해석 (Combustion Instability Modeling in a Hydrogen-Natural Gas Mixed Fuel Gas Turbine Combustor using a 3-Dimensional Finite Element Method Approach)

  • 홍수민;김대식
    • 한국분무공학회지
    • /
    • 제27권1호
    • /
    • pp.36-41
    • /
    • 2022
  • In this study, the combustion instability characteristics according to the change in the hydrogen ratio in the fuel in the single nozzle system of the hydrogen-natural gas mixed gas turbine for power generation was analyzed using a three-dimensional finite element analysis-based Helmholtz solver. This combustor shows the instability characteristics in which mode transition occurs from a mode having a low amplitude near 70 Hz to a mode having a high amplitude of 250 Hz or higher as the hydrogen fraction in the fuel increases. The current modeling results are found to reasonably predict the main characteristics of the change in measured instability frequency and growth rate with the change in fuel composition.