Nonlinear dynamics of extensible fluid-conveying pipes, supported at both ends

Modarres‐Sadeghi, Yahya; Paı̈doussis, M.P.

doi:10.1016/j.jfluidstructs.2008.09.005

Cited by 132 publications

(38 citation statements)

References 15 publications

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“…For fluid-conveying tubes/pipes/beams, to the author's knowledge, the analytical models developed thus far have used the conventional strain-based mechanics theories [see, e.g., Paı¨doussis (1998), Modarres-Sadeghi and Paı¨doussis (2009, Paı¨doussis et al (2007Paı¨doussis et al ( , 2008, Modarres-Sadeghi et al (2007), Kuiper and Metrikine (2008), Kuiper et al (2007)]. As mentioned in the foregoing, the conventional strain-based mechanics theories can sufficiently capture the essential vibration characteristics of fluid-conveying tubes with a large length scale.…”

Section: Introductionmentioning

confidence: 99%

Size-dependent vibration characteristics of fluid-conveying microtubes

Wang

2010

Journal of Fluids and Structures

177

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Section: Introductionmentioning

confidence: 99%

Size-dependent vibration characteristics of fluid-conveying microtubes

Wang

2010

Journal of Fluids and Structures

177

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“…Including frictional damping generated by the surrounding cutting fluid and the rotational inertia, the governing equation of the system for lateral vibration is obtained taking into account of the fluid-structure interaction, the effect of the motion constraints, the gyroscopic effect caused by rotation, torque and compressive axial force. From the viewpoint of rotor dynamics and fluid-structure interaction, the equations of motion [18,[21][22][23][24] are given by (1) and (2) can be written in a uniform way as follows:…”

Section: The Equation Of Motionmentioning

confidence: 99%

Dynamic Analysis of BTA Deep-Hole Drilling Shaft System

Ma¹,

Shen²

2018

dtetr

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Abstract. Numerical investigation was conducted into dynamics of deep-hole drilling shaft system. The rotating drilling shaft was modeled as a Rayleigh beam conveying the fluid and subjected to torque, compressive axial force and support constraints. From the viewpoint of rotor dynamics and fluid-structure interaction, the governing equation of the drilling shaft system for lateral vibration was obtained taking into account of the fluid-structure interaction, the rotational inertia, the gyroscopic effect, the effect of the motion constraints and frictional damping generated by the surrounding fluid. The influence of the cutting fluid flow velocity, rotational angular velocity, torque, compressive axial force, and the support constraints on natural frequency and stability of the drilling shaft system was examined. It has been found that the cutting fluid flow velocity, compressive axial force and torque decreases natural frequencies of the drilling shaft system, whereas rotational angular velocity and support constraints can improve the stability of the drilling shaft system.

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“…Plaut [8] found that fluid-conveying pipes are conservative in the subcritical regime and nonconservative in the supercritical regime. Modarres-Sadeghi and Païdoussis [9] found that an extensible fluid-conveying pipe supported at both ends is stable at its original equilibrium configuration up to the flow velocity at which it loses stability via static divergence via a supercritical pitchfork bifurcation. Ghayesh and Païdoussis [10] observed 3-D flutter, divergence, quasiperiodic and chaotic motions, with the increasing flow velocity, in three-dimensional motions of a cantilever tube conveying fluid and having additionally supported by an intermediate spring array.…”

Section: Introductionmentioning

confidence: 99%

Internal resonance of pipes conveying fluid in the supercritical regime

Zhang

Chen

2011

Nonlinear Dyn

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This paper treats nonlinear vibration of pipes conveying fluid in the supercritical regime. If the flow speed is larger than the critical value, the straight equilibrium configuration becomes unstable and bifurcates into two possible curved equilibrium configurations. The paper focuses on the nonlinear vibration around each bifurcated equilibrium. The disturbance equation is derived from the governing equation, a nonlinear integro-partial-differential equation, via a coordinate transform. The Galerkin method is applied to truncate the disturbance equation into a two-degree-of-freedom gyroscopic systems with weak nonlinear perturbations. The internal resonance may occur under the certain condition of the supercritical flow speed for the suitable ratio of mass per unit length of pipe and that of fluid. The method of multiple scales is applied to obtain the relationship between the amplitudes in the two resonant modes. The time histories predicted by the analytical method are compared with the numerical ones and the comparisons validate the analytical results when the nonlinear terms are small.

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Nonlinear dynamics of extensible fluid-conveying pipes, supported at both ends

Cited by 132 publications

References 15 publications

Size-dependent vibration characteristics of fluid-conveying microtubes

Size-dependent vibration characteristics of fluid-conveying microtubes

Dynamic Analysis of BTA Deep-Hole Drilling Shaft System

Internal resonance of pipes conveying fluid in the supercritical regime

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