Active Control of Cantilevered Pipes Conveying Fluid With Constraints on Input Energy

Doki, Hitoshi; Hiramoto, Kazuhiko; Skelton, R.

doi:10.1006/jfls.1997.0154

Cited by 28 publications

(8 citation statements)

References 7 publications

(12 reference statements)

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“…These methods can be classified as active and passive methods. Active methods are employed to inhibit the vibration caused by external forces generated by actuators such as hydraulic [12], crystals (e.g., phononic [13]), wire and pulley [14], speed actuators [15] and other actuators [16][17][18]. Such external forces can be calculated using control algorithms [19].…”

Section: Introductionmentioning

confidence: 99%

Stability analysis of a pipe conveying fluid with a nonlinear energy sink

Nan

Lin

et al. 2021

Sci. China Inf. Sci.

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This paper considers the global stability problem of the system comprising a pipe conveying fluid and a nonlinear energy sink (PCF-NES) system. First, a quadratic form model containing a gradient term of a convex function is obtained from a high-order partial-differential-equation model of the PCF-NES system using the Galerkin approximation approach. Energy and disturbance functionals are then established based on this model. Second, a Lyapunov function is constructed based on the first-order characteristic of the convexity and energy disturbance technique to prove the global exponential stability of the approximated PCF-NES system. Finally, theoretical results are verified using numerical simulations and the positive effect of the NES on the vibration control of the entire PCF is discussed.

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Section: Introductionmentioning

confidence: 99%

Stability analysis of a pipe conveying fluid with a nonlinear energy sink

Nan

Lin

et al. 2021

Sci. China Inf. Sci.

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“…The vast majority of them describe the concept of generating transverse forces or bending moments acting on the system actively, depending on the state of the system in a closed feedback loop. Various actuators have been used to do this, some examples include servomotors stuck to a pipe [11][12][13], gyroscopic mechanisms [14], and piezoelements mounted on a pipe surface [15,16] or embedded in its material [17]. A few of these papers aim at more general results, and the type of the actuator is not defined [18,19].…”

Section: Introductionmentioning

confidence: 99%

Semi-active stabilisation of a pipe conveying fluid using eddy-current dampers: state-feedback control design, experimental validation

2019

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An application of electromagnetic devices of the motional type (i.e. eddy-current dampers) to improve the dynamic stability of a cantilever pipe discharging fluid is proposed. When the flow velocity reaches a critical value, this system loses stability through the flutter. A contactless damping device is used. This actuator is made of a conducting plate attached to the pipe that moves together with it within the perpendicular magnetic field that is generated by the controlled electromagnets. During the motion the eddy currents in the plate and a resultant drag force of a viscous character are generated. First, an optimal control problem that aims to stabilise the system with the optimal rate of decrease of the system's energy is posed and solved. Then a state-feedback parametrization of the obtained optimal control, which can be used in a closed-loop scheme is proposed. The effectiveness of the designed optimal controller is validated by making a comparison with the corresponding passive solutions on the specially designed and constructed experimental test stand of a pipe conveying air.

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“…For example, Yau et al (1995) presented an active control method to eliminate the undesirable chaotic vibration of a pipe over a limited set of flow velocities. Doki et al (1998) designed a controller to stabilize the flutter phenomenon of a cantilevered pipe conveying fluid. Furthermore, they confirmed the effectiveness of their method experimentally.…”

Section: Introductionmentioning

confidence: 99%

Passive and adaptive vibration suppression of pipes conveying fluid with variable velocity

Yang

et al. 2013

Journal of Vibration and Control

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A passive and adaptive control method for stabilizing a pipe conveying fluid is presented. Owing to fluid–pipe interactions, pipes are subjected to excessive vibrations. Classical passive control methods are only valid for stabilizing the pipes over a narrow range of flow velocities. In this paper, the theory of nonlinear targeted energy transfer (TET) is applied to suppress the excessive vibration of a pipe by using an essentially nonlinear attachment, which is called a nonlinear energy sink (NES). Numerical evidence for a passive TET between the pipe and NES is proposed. Results show that the NES can robustly absorb and dissipate a major portion of the vibrational energy of the pipe.

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Active Control of Cantilevered Pipes Conveying Fluid With Constraints on Input Energy

Cited by 28 publications

References 7 publications

Stability analysis of a pipe conveying fluid with a nonlinear energy sink

Stability analysis of a pipe conveying fluid with a nonlinear energy sink

Semi-active stabilisation of a pipe conveying fluid using eddy-current dampers: state-feedback control design, experimental validation

Passive and adaptive vibration suppression of pipes conveying fluid with variable velocity

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