• Title/Summary/Keyword: instability phenomenon

검색결과 213건 처리시간 0.023초

비선형 고유치 해석에 의한 정현형 아치의 좌굴 특성에 관한 연구 (Buckling Characteristics of Shallow Sinusoidal Arches by Nonlinear Eigenvalue Analysis)

  • 윤태영;김승덕
    • 한국전산구조공학회:학술대회논문집
    • /
    • 한국전산구조공학회 2002년도 가을 학술발표회 논문집
    • /
    • pp.185-192
    • /
    • 2002
  • In this study, we choose the sinusoidal shaped arch with pin-ends subjected to sinusoidal distributed excitation to investigate the fundamental mechanism of the dynamic instability. We derive the nonlinear equations of motion to investigate the instability phenomenon of arch structures and Identify the buckling characteristics of sinusoidal shaped arch structures through the nonlinear eigenvalue analysis with discreted equations of motion by Galerkin's method. We examine that phenomenons which direct snapping and indirect snapping with backbone curves to understand occurrence paths of the dynamic buckling.

  • PDF

비전도 반평판 사이에서 미끄럼 운동하는 평판 층의 열탄성 불안정성 (Thermoelastic Instability of the Layer Sliding between Two Non-conducting Half-planes)

  • 하태원;조용구;김흥섭;이정윤;오재응
    • 한국소음진동공학회:학술대회논문집
    • /
    • 한국소음진동공학회 2003년도 춘계학술대회논문집
    • /
    • pp.483-488
    • /
    • 2003
  • Frictional heating in brakes causes thermoelastic distortion of the contacting bodies and hence affects the contact pressure distribution. The resulting thermo-mechanical coupling can cause thermoelastic instability (TEI) if the sliding speed is sufficiently high, leading to non-uniform heating called hot spots and low frequency vibration known as hot judder. The vibration of brakes to the known phenomenon of frictionally-excited thermoelastic instability is estimated studying the interface temperature and pressure evolution with time. A simple model has been considered where a layer with half-thickness ${\alpha}$ slides with speed V between two half-planes which are rigid and non-conducting. The advantage of this properly simple model permits us to deduce analytically the critical conditions for the onset of instability, which is the relation between the critical speed and the growth rate of the interface temperature and pressure. Symmetrical component of pressure and temperature distribution at the layer interfaces can be more unstable than antisymmetrical component. As the thickness ${\alpha}$ reduces, the system becomes more apt to thermoelastic instability. Moreover, the evolution of the system beyond the critical conditions has shown that even if low frequency perturbations are associated with low critical speed, it might be less critical than high frequency perturbations if the working sliding speed is much larger than the actual critical speed of the system.

  • PDF

PLIF 및 자발광 계측을 이용한 이중선회 가스터빈 연소기에서 연소불안정 모드 연구 (A Study of Combustion Instability Mode in Dual Swirl Gas Turbine Combustor by PLIF and Chemiluminescence Measurement)

  • 최인찬;이기만
    • 한국연소학회지
    • /
    • 제19권1호
    • /
    • pp.29-38
    • /
    • 2014
  • This paper described an experimental investigations of combustion instability mode in a lean premixed dual swirl combustor for micro-gasturbine system. When such the instability occurs, a strong coupling between pressure oscillations and unsteady heat release excites a self-sustained acoustic wave which results in a loud, annoyed sound and may also lead a structural damage to the combustion chamber. The detailed period of flame behavior and heat release in combustion instability mode have been examined with high speed OH and CH-PLIF system and $CH^*$ chemiluminescence measurement, flame tomography with operated at 10 kHz and 6 kHz each. Experiment results suggest that unstable flame behavior has a specific frequency with 200 Hz and this frequency is accords with about 1/2 sub-harmonic of combustor resonance frequency, not fundamental frequency. This is very interesting phenomenon that have not reported yet from other previous works. Therefore, when a thermo-acoustic instability with Rayleigh criterion occurs, the fact that the period of heat release and flame behavior are different each other was proposed for the first time through this work.

단단한 비전도 반평판 사이에서 미끄럼 운동하는 평판층의 열탄성 불안정성 (Thermoelastic Instability of the Layer Sliding between Two Rigid Non-conducting Half-planes)

  • 오재응;하태원;조용구;김흥섭;이정윤
    • 한국자동차공학회논문집
    • /
    • 제12권1호
    • /
    • pp.114-121
    • /
    • 2004
  • Frictional heating in brakes causes thermoelastic distortion of the contacting bodies and hence affects the contact pressure distribution. The resulting thermo-mechanical coupling can cause thermoelastic instability (TEI) if the sliding speed is sufficiently high, leading to non-uniform heating called hot spots and low frequency vibration known as hot judder. The vibration of brakes to the known phenomenon of frictionally-excited thermoelastic instability is estimated studying the interface temperature and pressure evolution with time. A simple model has been considered where a layer with half-thickness$\alpha$slides with speed V between two half-planes which are rigid and non-conducting. The advantage of this properlysimple model permits us to deduce analytically the critical conditions for the onset of instability, which is the relation between the critical speed and the growth rate of the interface temperature and pressure. Symmetrical component of pressure and temperature distribution at the layer interfaces can be more unstable than antisymmetrical component. As the thickness $\alpha$ reduces, the system becomes more apt to thermoelastic instability. For perturbations with wave number smaller than the critical$m_{cr}$ the temperature increases with m vice versa for perturbations with wave number larges than $m_{cr}$ , the temperature decreases with m.

돔형 공간 구조물의 Rise-span 비에 따른 불안정 거동 특성에 관한 연구 (A Study on the Unstable behavior According to rise-span ratio of dome type space frame)

  • 손수덕;김승덕;강문명
    • 한국공간정보시스템학회:학술대회논문집
    • /
    • 한국공간정보시스템학회 2004년도 춘계 학술발표회 논문집 제1권1호(통권1호)
    • /
    • pp.75-82
    • /
    • 2004
  • Many researcher's efforts have made a significant advancement of space frame structure with various portion, and it becomes the most outsanding one of space structures. However, with the characteristics of thin and long term of spacing, the unstable behavior of space structure is shown by initial imperfection, erection procedure or joint, especially space frame structure represents more. This kind of unstable problem could not be set up clearly and there is a huge difference between theory and experiment. Moreover, the discrete structure such as space frame has more complex solution, this it is not easy to derive the formulation of design about space structure. In this space frame structure, the character of rise-span ratio or load mode is represented by the instability of space frame structure with initial imperfection, and snap-through or bifurcation might be the main phenomenon. Therefore, in this study, space frame structure which has a lot of aesthetic effect and profitable for large space covering single layer is dealt. And because that the unstable behavior due to variation of inner force resistance in the elastic range is very important collapse mechanism, I would like to investigate unstable character as a nonlinear behavior with a geometric nonlinear. In order to study the instability. I derive tangent stiffness matrix using finite element method and with displacement incremental method perform nonlinear analysis of unit space structure, star dome and 3-ring star dome considering rise-span $ratio(\mu}$ and load $ratio(R_L)$ for analyzing unstable phenomenon.

  • PDF

외부 레이저에 의한 평면화염에서 난류화염거동까지의 천이현상 (Transition Phenomenon from a Flat Flame to Turbulent Flame Motions by External Laser)

  • 박준성;최병철
    • 대한기계학회논문집B
    • /
    • 제36권12호
    • /
    • pp.1209-1215
    • /
    • 2012
  • 관내 예혼합화염에서 나타나는 평면화염부터 난류화염거동까지의 천이현상에 대한 실험적 연구를 수행하였다. 천이현상의 관찰을 위해 관내에 평면화염을 형성하였고, 화염면 중심에 $CO_2$ 레이저를 조사하여 국부 화염속도를 증가시켰다. 레이저에 의해 변형된 화염은 전체 화염면적의 증가와 진동 불안정성의 거동을 보이며 전파한 후, 큰 소음과 함께 난류화염의 거동을 보이며 관 바닥으로 전파한다. 본 연구에서는 난류화염거동이 나타나기 전까지의 변형된 화염에 대한 동적 거동을 관찰하여 분석하였고, 이에 대한 물리적 모델을 제시하였다.

우주 발사체의 포고현상 예측을 위한 공급/추진계의 파이프 압력모드 해석 기법 제안 (Proposal of Pipe Pressure Mode Analysis Method in Propulsion System for Predicting the Pogo of Space Launch Vehicle)

  • 이상구;이시훈;신상준
    • 한국추진공학회:학술대회논문집
    • /
    • 한국추진공학회 2017년도 제48회 춘계학술대회논문집
    • /
    • pp.714-717
    • /
    • 2017
  • 액체 추진제를 사용하는 우주발사체의 설계 단계에서 고려되는 사항 중 축방향 동적 불안정성인 포고현상에 관한 연구를 진행하였다. 포고 현상이란 발사체 구조계의 축방향 진동이 공급/추진계의 압력 및 유량의 변화를 유발하고, 이러한 변화가 구조계를 다시 가진하는 닫힌계를 구성하여 발사체의 진동을 점차적으로 증가시키는 불안정성을 말한다. 본 논문에서는 포고 현상 중 발사체 공급/추진계에서 발생하는 압력 및 유량의 변화에 대한 동적해석에 초점을 맞추었다. 우주왕복선의 연구사례를 바탕으로 공급/추진계의 음향모드 해석을 수행하여 구조계의 불안정성을 유발하는 공급라인의 모드를 예측하고자 하였다.

  • PDF

Flutter phenomenon in composite sandwich beams with flexible core under follower force

  • Saghavaz, Fahimeh Rashed;Payganeh, GHolamhassan;Fard, Keramat Malekzadeh
    • Steel and Composite Structures
    • /
    • 제39권5호
    • /
    • pp.615-630
    • /
    • 2021
  • The main purpose of the present work was to study the dynamic instability of a three-layered, thick composite sandwich beam with the functionally graded (FG) flexible core subjected to an axial compressive follower force. Flutter instability of a sandwich cantilever beam was analyzed using the high-order theory of sandwich beams, for the first time. The governing equations in general for sandwich beams with an FG core were extracted and could be used for all types of sandwich beams with any types of face sheets and cores. A polynomial function is considered for the vertical distribution of the displacement field in the core layer along the thickness, based on the results of the first Frosting's higher order model. The governing partial differential equations and the equations of boundary conditions of the dynamic system are derived using Hamilton's principle. By applying the boundary conditions and numerical solution methods of squares quadrature, the beam flutter phenomenon is studied. In addition, the effects of different geometrical and material parameters on the flutter threshold were investigated. The results showed that the responses of the dynamic instability of the system were influenced by the follower force, the coefficients of FGs and the geometrical parameters like the core thickness. Comparison of the present results with the published results in the literature for the special case confirmed the accuracy of the proposed theory. The results showed that the follower force of the flutter phenomenon threshold for long beams tends to the corresponding results in the Timoshenko beam.

Anti-windup 보상기의 점프공진에 관한 연구 (Jump resonance in anti-windup compensator for systems with saturating actuators)

  • 박영진;장원욱
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 1992년도 한국자동제어학술회의논문집(국내학술편); KOEX, Seoul; 19-21 Oct. 1992
    • /
    • pp.1060-1066
    • /
    • 1992
  • One of the undesirable nonlinear phenomenon called 'wind up' occours when the integrator in the controller and the saturated actuator interact. Large overshoot, slow response, instability, limit cycle and jump resonance are the characteristics of wind up phenomenon. Several 'anti-windup' compensators have been developed to prevent some of the aforementioned nonlinear characteristics such as instabilituy and limit cycle, but none has studied the effect of antiwindup compensator on the jump resonance. In this paper, we developed an analyitcal method to design the compensator to prevent not only limit cycle but also jump resonance. An illustrative example is included to show the compensator eliminates jump resonance of effectively.

  • PDF

일정 전위 모드에서의 전기와류 불안정성에 대한 시간-분해 해석 (Time-resolved Analysis for Electroconvective Instability under Potentiostatic Mode)

  • 이효민
    • Korean Chemical Engineering Research
    • /
    • 제58권2호
    • /
    • pp.319-324
    • /
    • 2020
  • 전기와류 불안정성은 전기투석 장치, 갈바니 전지, 전해 전지 등의 이온-선택성 이동 현상계에서 발견되는 비선형 이동 현상이다. 이 불안정성은 이온-선택성 표면 근처 공간 전하층의 요동에 의해 발생하며, 불안정성의 발현은 물질 전달 속도를 증가시켜 준다. 따라서 전기와류 불안정성은 물질 전달 측면에서 중요한 의미를 가진다. 최근의 실험적 기법들이 불안정성의 직접적 가시화를 가능하게 해주었으나, 실험적 한계점에 의해 불안정성의 원론적 연구는 제한된 영역에서만 이루어지고 있다. 본 연구에서는 일정 전위 모드에서의 전기와류 불안정성에 대한 수치 해석을 진행하여 전류-시간 곡선과 불안정성의 거동 간의 상관관계를 밝히고자 하였다. 시간-분해 해석을 통하여, 불안정성의 발달 거동을 SCL 형성 - 전기와류 불안정성의 성장 - 정상 상태 도달로 구분 지었다. 더불어, 인가 전위에 따른 전이 시간들의 크기 법칙 또한 수치적으로 유도하였다.