• 제목/요약/키워드: Critical velocity

검색결과 832건 처리시간 0.03초

유체유동에 의한 다중벽 탄소나노튜브의 안정성 해석 (Stability Analysis of Multi-wall Carbon Nanotubes Conveying Fluid)

  • 송오섭;윤경재
    • 한국소음진동공학회논문집
    • /
    • 제20권6호
    • /
    • pp.593-603
    • /
    • 2010
  • In this paper, vibration and flow-induced flutter instability analysis of cantilever multi-wall carbon nanotubes conveying fluid and modelled as a thin-walled beam is investigated. Non-classical effects of transverse shear and rotary inertia and van der Waals forces between two walls are incorporated in this study. The governing equations and the associated boundary conditions are derived through Hamilton's principle. Numerical analysis is performed by using extend Galerkin method which enables us to obtain more exact solutions compared with conventional Galerkin method. Cantilevered carbon nanotubes are damped with decaying amplitude for flow velocity below a certain critical value, however, beyond this critical flow velocity, flutter instability may occur. Variations of critical flow velocity with both radius ratio and length of carbon nanotubes are investigated and pertinent conclusion is outlined.

탄소나노튜브의 유체유발 진동 (Flow-induced Vibration of Carbon Nanotubes Conveying Fluid)

  • 송오섭;최종운;길보람
    • 한국소음진동공학회:학술대회논문집
    • /
    • 한국소음진동공학회 2008년도 춘계학술대회논문집
    • /
    • pp.242-249
    • /
    • 2008
  • In this paper, flow-induced flutter instability of cantilever carbon nanotubes conveying fluid and modelled as a thin-walled beam is investigated. Non-classical effects of transverse shear and rotary inertia are incorporated in this study. The governing equations and the associated boundary conditions are derived through Hamilton's principle. Numerical analysis is performed by using extend Galerkin method which enables us to obtain more exact solutions compared with conventional Galerkin method. Cantilevered carbon nanotubes are damped with decaying amplitude for flow velocity below a certain critical value, however, beyond this critical flow velocity, flutter instability may occur. Variations of critical flow velocity with both radius ratio and length of carbon nanotubes are investigated and pertinent conclusion is outlined.

  • PDF

탄소나노튜브의 유체유발 진동 (Flow-induced Vibration of Carbon Nanotubes Conveying Fluid)

  • 최종운;길보람;송오섭
    • 한국소음진동공학회논문집
    • /
    • 제18권6호
    • /
    • pp.654-662
    • /
    • 2008
  • In this paper, flow-induced flutter instability of cantilever carbon nanotubes conveying fluid and modelled as a thin-walled beam is investigated. Non-classical effects of transverse shear and rotary inertia are incorporated in this study. The governing equations and the associated boundary conditions are derived through Hamilton's principle. Numerical analysis is performed by using extend Galerkin method which enables us to obtain more exact solutions compared with conventional Galerkin method. Cantilevered carbon nanotubes are damped with decaying amplitude for flow velocity below a certain critical value, however, beyond this critical flow velocity, flutter instability may occur. Variations of critical flow velocity with both radius ratio and length of carbon nanotubes are investigated and pertinent conclusion is outlined.

Mathematical modeling of concrete pipes reinforced with CNTs conveying fluid for vibration and stability analyses

  • Nouri, Alireza Zamani
    • Computers and Concrete
    • /
    • 제19권3호
    • /
    • pp.325-331
    • /
    • 2017
  • In this study, vibration and stability of concrete pipes reinforced with carbon nanotubes (CNTs) conveying fluid are presented. Due to the existence of CNTs, the structure is subjected to magnetic field. The radial fore induced with fluid is calculated using Navier-Stokes equations. Characteristics of the equivalent composite are determined using Mori-Tanaka model. The concrete pipe is simulated with classical cylindrical shell model. Employing energy method and Hamilton's principal, the motion equations are derived. Frequency and critical fluid velocity of structure are obtained analytically based on Navier method for simply supported boundary conditions at both ends of the pipe. The effects of fluid, volume percent of CNTs, magnetic field and geometrical parameters are shown on the frequency and critical fluid velocity of system. Results show that with increasing volume percent of CNTs, the frequency and critical fluid velocity of concrete pipe are increased.

유체유동효과를 고려한 다중벽 탄소나노튜브의 진동 및 안정성 해석 (Vibration Stability Analysis of Multi wall Carbon Nanotubes Considering Conveying Fluid Effect)

  • 윤경재;최종운;송오섭
    • 한국소음진동공학회:학술대회논문집
    • /
    • 한국소음진동공학회 2012년도 춘계학술대회 논문집
    • /
    • pp.219-224
    • /
    • 2012
  • In this paper, vibration and flow-induced flutter instability analysis of cantilever multiwall carbon nanotubes conveying fluid and modelled as a thin-walled beam is investigated. Non-classical effects of transverse shear and rotary inertia are incorporated in this study. The governing equations and the associated boundary conditions are derived through Hamilton's principle. Numerical analysis is performed by using extend Galerkin method which enables us to obtain more exact solutions compared with conventional Galerkin method. Cantilevered carbon nanotubes are damped with decaying amplitude for flow velocity below a certain critical value, however, beyond this critical flow velocity, flutter instability may occur. Variations of critical flow velocity with both radius ratio and length of carbon nanotubes are investigated and pertinent conclusion is outlined.

  • PDF

직관덕트내에서 정상유동, 진동유동과 맥동유동의 임계레이놀즈수에 관한 연구 (A study on the critical reynolds number of steady, oscillatory and pulsating flow in a straight duct)

  • 박길문;봉태근
    • Journal of Advanced Marine Engineering and Technology
    • /
    • 제22권1호
    • /
    • pp.16-20
    • /
    • 1998
  • The critical reynolds number in a square-sectional straight duct is investigated experimentally. The experimental study for the air flow in a square-sectional straight duct is carried out to calssify critical Reynolds number on steady flow and unsteady flow. To calssify the critical Reynolds number we obtained velocity waveform by using a hot-wireanemometer and data acquisition system with photocorder.

  • PDF

크랙을 가진 유체유동 회전 외팔 파이프의 안정성 해석 (Stability of Rotating Cantilever Pipe Conveying Fluid with Crack)

  • 김동진;윤한익;손인수
    • 한국소음진동공학회:학술대회논문집
    • /
    • 한국소음진동공학회 2007년도 추계학술대회논문집
    • /
    • pp.356-359
    • /
    • 2007
  • In this paper, the stability of a rotating cantilever pipe conveying fluid with a crack is investigated by the numerical method. That is, the influences of the rotating angular velocity, mass ratio and crack severity on the critical flow velocity for flutter instability of system are studied. The equations of motion of rotating pipe are derived using the Euler beam theory and the Lagrange's equation. The crack section of pipe is represented by a local flexibility matrix connecting two undamaged pipe segments. The crack is assumed to be in the first mode of fracture and to be always opened during the vibrations. Generally, the critical flow velocity for flutter is proportional to the angular velocity and the depth of crack. Also, the critical flow velocity and stability maps of the rotating pipe system as a function of mass ratio for the changing each parameter are obtained.

  • PDF

공작기계 이송계의 Stick-Slip 특성에 관한 연구 (A study on the Stick-slip Characteristic of Machine Tool Feeding System.)

  • 박종권;이후상
    • 한국기계연구소 소보
    • /
    • 통권18호
    • /
    • pp.29-35
    • /
    • 1988
  • When low sliding velocities in the boundary lubrication range are operating, irregular movements frequently occur which are a result of the stick-slip phenomenon. Such slide motions are undesirable in precision machine tools, particularly with feed back systems used in numerical and adaptive control machine tools. Accordingly, this paper reports analytical and experimental studies in the stick-slip characteristic of machine tool feeding system. The main conclusions of this study are as follows; The tendency towards stick-slip effects may be reduced by; 1). Reducing the drop in friction coefficient in the Stribeck curve(on the rising part of the friction characteristic at higher sliding speeds, the system is stable all the time) 2). Reducing the transition velocity by the use of a higher viscosity lubricating oil. 3). Increasing the stiffness(Damping)and reducing normal load(Sliding mass) Therefore, the Critical velocity is decided from the above conclusions and in designing of machine tool, feed rates(sliding velocity)must be design the more than critical velocity.

  • PDF

크랙을 가진 유체유동 회전 외팔 파이프의 안정성 해석 (Stability Analysis of Rotating Cantilever Pipe Conveying Fluid with Crack)

  • 손인수;윤한익;김동진
    • 한국소음진동공학회논문집
    • /
    • 제17권12호
    • /
    • pp.1161-1169
    • /
    • 2007
  • In this paper, the dynamic stability of a rotating cantilever pipe conveying fluid with a crack is investigated by the numerical method. That is, the influence of the rotating angular velocity, mass ratio and crack severity on the critical flow velocity for flutter instability of system are studied. The equations of motion of rotating cantilever pipe are derived by using extended Hamilton's principle. The crack section of pipe is represented by a local flexibility matrix connecting two undamaged pipe segments. The crack is assumed to be in the first mode of fracture and always opened during the vibrations. Generally, the critical flow velocity for flutter is proportional to the rotating angular velocity of a pipe. Also, the critical flow velocity and stability maps of the rotating pipe system for the variation each parameter are obtained.

Dynamics of the system consisting of the hollow cylinder and surrounding infinite elastic medium under action an oscillating moving ring load on the interior of the cylinder

  • Akbarov, Surkay D.;Mehdiyev, Mahir A.
    • Coupled systems mechanics
    • /
    • 제7권5호
    • /
    • pp.525-554
    • /
    • 2018
  • The paper deals with the study of the dynamics of the oscillating moving ring load acting in the interior of the hollow circular cylinder surrounded by an elastic medium. The axisymmetric loading case is considered and the study is made by employing the exact equations and relations of linear elastodynamics. The focus is on the influence of the oscillation of the moving load and the problem parameters such as the cylinder's thickness/radius ratio on the critical velocities. At the same time, the dependence between the interface stresses and load moving velocity under various frequencies of this load, as well as the frequency response of the mentioned stresses under various load velocity are investigated. In particular, it is established that oscillation of the moving load can cause the values of the critical velocity to decrease significantly and at the same time the oscillation of the moving load can lead to parametric resonance. It is also established that the critical velocity decreases with decreasing of the cylinder's thickness/radiusratio.