Nonlinear vibration isolation for fluid-conveying pipes using quasi-zero stiffness characteristics

Ding, Hu; Ji, Jinchen

doi:10.1016/j.ymssp.2018.11.057

Cited by 201 publications

(30 citation statements)

References 72 publications

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“…Quasi-zero stiffness (QZS) vibration isolators possess the high-static-low-dynamic stiffness characteristics, which use the negative stiffness structures to reduce the dynamic stiffness of the system for a desired payload. The QZS characteristics have found their applications in the platform vibration isolators [1] , [2] , beam vibration systems [3] , [4] , and rotor systems [5] , [6] .…”

Section: Introductionmentioning

confidence: 99%

“…A Stewart isolator using multiple QZS struts was also proposed to realise high-static-low-dynamic stiffness in each single-DOF system of six directions [32] . Several QZS vibration isolators were used for isolating vibrations in multiple directions [3] , [33] , [34] , but the interaction between the DOFs was seldom discussed. A torsion–translational QZS isolator was recently proposed and two independent excitations were considered in two DOF systems [6] .…”

Section: Introductionmentioning

confidence: 99%

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A novel integrated quasi-zero stiffness vibration isolator for coupled translational and rotational vibrations

Brown

2021

Mechanical Systems and Signal Processing

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A novel integrated quasi-zero stiffness vibration isolator for coupled translational and rotational vibrations

Brown

2021

Mechanical Systems and Signal Processing

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“…Recently, Ding et al [46] investigated the nonlinear vibration isolation of the pipes conveying fluid through using the quasi-zero stiffness characteristics.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Resonant Responses, Mode Interactions, and Multitime Periodic and Chaotic Oscillations of a Cantilevered Pipe Conveying Pulsating Fluid under External Harmonic Force

2020

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The nonlinear resonant responses, mode interactions, and multitime periodic and chaotic oscillations of the cantilevered pipe conveying pulsating fluid are studied under the harmonic external force in this research. According to the nonlinear dynamic model of the cantilevered beam derived using Hamilton’s principle under the uniformly distributed external harmonic excitation, we combine Galerkin technique and the method of multiple scales together to obtain the average equation of the cantilevered pipe conveying pulsating fluid under 1 : 3 internal resonance and principal parametric resonance. Based on the average equation in the polar form, several amplitude-frequency response curves are obtained corresponding to the certain parameters. It is found that there exist the hardening-spring type behaviors and jumping phenomena in the cantilevered pipe conveying pulsating fluid. The nonlinear oscillations of the cantilevered pipe conveying pulsating fluid can be excited more easily with the increase of the flow velocity, external excitation, and coupling degree of two order modes. Numerical simulations are performed to study the chaos of the cantilevered pipe conveying pulsating fluid with the external harmonic excitation. The simulation results exhibit the existence of the period, multiperiod, and chaotic responses with the variations of the fluid velocity or excitation. It is found that, in the cantilevered pipe conveying pulsating fluid, there are the multitime nonlinear vibrations around the left-mode and the right-mode positions, respectively. We also observe that there exist alternately the periodic and chaotic vibrations of the cantilevered pipe conveying pulsating fluid in the certain range.

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“…e bending stiffness plays an important role in the wave propagation of the transverse vibration excited by the point load moving in a beam model [26]. Based on the modal analysis, further investigations, such as vibration suppressions, become possible [27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

On Travelling Wave Modes of Axially Moving String and Beam

Lü

Yang

Zhang

et al. 2019

Shock and Vibration

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The traditional vibrational standing-wave modes of beams and strings show static overall contour with finite number of fixed nodes. The travelling wave modes are investigated in this study of axially moving string and beam although the solutions have been obtained in the literature. The travelling wave modes show time-varying contour instead of static contour. In the model of an axially moving string, only backward travelling wave modes are found and verified by experiments. Although there are n − 1 fixed nodes in the nth order mode, similar to the vibration of traditional static strings, the presence of travelling wave phenomenon is still spotted between any two adjacent nodes. In contrast to the stationary nodes of string modes, the occurrence of galloping nodes of axially moving beams is discovered: the nodes oscillate periodically during modal motions. Both forward and backward travelling wave phenomena are detected for the axially moving beam case. It is found that the ranges of forward travelling wave modes increase with the axially moving speed. It is also concluded that backward travelling wave modes can transform to the forward travelling wave modes as the transport speed surpasses the buckling critical speed.

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Nonlinear vibration isolation for fluid-conveying pipes using quasi-zero stiffness characteristics

Cited by 201 publications

References 72 publications

A novel integrated quasi-zero stiffness vibration isolator for coupled translational and rotational vibrations

A novel integrated quasi-zero stiffness vibration isolator for coupled translational and rotational vibrations

Nonlinear Resonant Responses, Mode Interactions, and Multitime Periodic and Chaotic Oscillations of a Cantilevered Pipe Conveying Pulsating Fluid under External Harmonic Force

On Travelling Wave Modes of Axially Moving String and Beam

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