Dynamical Stability of Cantilevered Pipe Conveying Fluid with
Inerter-Based Dynamic Vibration Absorber

Liu, Zhiyuan; Tan, Xin; Liu, Xiaobo; Chen, Pingan; Ke-Yi,; Yang, Tianzhi; Ni, Qiao; LinWang,

doi:10.32604/cmes.2020.012030

Cited by 4 publications

(2 citation statements)

References 36 publications

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“…1 is notable for its complete absence of fluid-frictional impacts, which initially would seem idealized. However, it can be firmly proven that fluid-frictional outcomes do not have bearing on the system's dynamics [26,27] in the framework of the other assumptions implied in this linearized equation.…”

Section: Model Formulation -Viscoelastic Foundation Analysis Of Fluid...mentioning

confidence: 99%

Analytical Studies of Fluid Conveying Pipes on Viscoelastic Foundation Using Differential Transforms Method

Adeleye,

Yinusa,

Diwe

2024

AMM

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This study presents an analytical investigation of the vibration of fluid-conveying pipes on viscoelastic foundations using the differential transform method. The effects of a new time dependent viscosity parameter in the modified Winkler viscoelastic foundation is studied and analyzed. The governing equation is a fourth-order partial differential equation with pinned-pinned boundary conditions, which required a special analytical method for solution. The differential transform method was applied to obtain the solution of the governing partial differential equation for the fluid-conveying pipes on viscoelastic foundations. The time-dependent viscosity parameter in the modified Winkler viscoelastic model was implemented and simulated to determine the behavior of the viscoelastic foundation. The obtained analytical solution was validated with Runge-Kutta order four numerical method. The effects of foundation stiffness , coefficient of foundation damping and the frequency mass ratio on the governing model equation were investigated. In addition, the bending and deflection of the pipe on a viscoelastic foundation are compared with those on an elastic foundation. The analytical and the numerical solutions are in good agreement. From the study, it is observed that an increase in the foundation stiffness results in increase in the pipe inherent frequencies. Furthermore, the vibration of the pipe on a viscoelastic foundation shows better control and reduction compared with its vibration on an elastic foundation.

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Section: Model Formulation -Viscoelastic Foundation Analysis Of Fluid...mentioning

confidence: 99%

Analytical Studies of Fluid Conveying Pipes on Viscoelastic Foundation Using Differential Transforms Method

Adeleye,

Yinusa,

Diwe

2024

AMM

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“…Pisarski et al proposed a damping method using electromagnetic devices [24]. Several researchers have attached a nonlinear energy sink to the pipe, which dissipates the vibrational energy of the pipe [25]- [27]. Yu et al controlled the tip bending moment using piezoelectric actuators to increase the critical flow velocity [28].…”

Section: Related Studiesmentioning

confidence: 99%

Stabilized Controller for Jet Actuated Cantilevered Pipe Using Damping Effect of an Internal Flowing Fluid

et al. 2022

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Fluid jet actuation is a potential actuation technique for continuum robots. It can generate and rapidly control a relatively large force using a small and lightweight structure because a significant amount of energy can be transported through its internal channels. Recently, jet-actuated flying continuum robots have been developed using this advantageous characteristic. However, a challenging issue in controlling the robot is the fluid structure interaction between the flexible body and the internal flowing fluid. This interaction often causes instability in the pipe conveying fluid. In this study, as a first step to address this issue, we propose a stabilized controller (vertical position control) for a jet-actuated two-dimensional cantilevered pipe with a nozzle unit at the tip using the damping effect of the internal flowing fluid and verify the controller with a real robot. Specifically, a model is constructed with the net force of the jets as the control input. A simple controller that can constantly decrease the energy function is proposed by utilizing the damping effect of the flowing fluid. Numerical simulations verify the stability of the system regardless of the flow velocity. In particular, fluid damping mainly suppresses the higher-order mode oscillations. Moreover, the stability of the system can be improved by adjusting the controller gains. We also conduct experiments using an actual robot to verify the simulation results. The vibrations can be damped by the fluid effect, and the stability can be improved using the proposed controller.

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Thin Beams: Applications

Magrab

2024

Solid Mechanics and Its Applications

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Dynamical Stability of Cantilevered Pipe Conveying Fluid with Inerter-Based Dynamic Vibration Absorber

Cited by 4 publications

References 36 publications

Analytical Studies of Fluid Conveying Pipes on Viscoelastic Foundation Using Differential Transforms Method

Analytical Studies of Fluid Conveying Pipes on Viscoelastic Foundation Using Differential Transforms Method

Stabilized Controller for Jet Actuated Cantilevered Pipe Using Damping Effect of an Internal Flowing Fluid

Thin Beams: Applications

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