Nonlinear and chaotic vibrations of cantilevered micropipes conveying fluid based on modified couple stress theory

Hu, Ke; Wang, Y.K.; Dai, Huliang; Wang, L.; Qi, Qian

doi:10.1016/j.ijengsci.2016.04.014

Cited by 80 publications

(15 citation statements)

References 29 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Hosseini and Bahaadini (2016) numerically analyzed the size-dependent behavior of micropipes conveying fluid based on modified strain gradient theory. Hu et al. (2016) used modified strain gradient elasticity theory to investigate nonlinear and chaotic vibrations of micropipes conveying fluid with clamped-free supported edges.…”

Section: Introductionmentioning

confidence: 99%

Nonlocal instability of cantilever piezoelectric carbon nanotubes by considering surface effects subjected to axial flow

Hosseini

Bahaadini

Jamali

2016

Journal of Vibration and Control

View full text Add to dashboard Cite

In this study, the divergence and flutter instability of a cantilever piezoelectric carbon nanotube (CNT) conveying flowing fluid is investigated by considering surface effects. The size-dependent governing differential equation of a piezoelectric CNT is derived using a Newtonian method based on the Eringen nonlocal elasticity theory and in conjunction with the Euler–Bernoulli beam model. The extended Galerkin method is employed to transform the partial differential equation into a set of ordinary differential equations. The resulting eigenvalue problem is solved numerically to determine the effect of nonlocal parameter, various values of piezoelectric voltage, and surface effects on the divergence and flutter instability of a CNT conveying a fluid. Results show that by increasing the voltage from negative values to positive values, the nondimensional critical velocity of the fluid flow decreases. In addition, it should be noted that the effects of the nonlocal parameter lead to a reduction of the flutter and divergence stability of the CNT. Finally, this research can be used to design fluid-conveying nanodevices based on piezoelectric CNTs.

show abstract

Section: Introductionmentioning

confidence: 99%

Nonlocal instability of cantilever piezoelectric carbon nanotubes by considering surface effects subjected to axial flow

Hosseini

Bahaadini

Jamali

2016

Journal of Vibration and Control

View full text Add to dashboard Cite

show abstract

“…Dynamics of fluid-conveying pipes have been well-explored in theoretical [1][2][3][4][5][6][7][8][9][10] and experiment research [11,12]. Tan [13] investigated the vibration characteristics of pipes conveying fluid in the super-critical range using Timoshenko beam theory for the first time.…”

Section: Introductionmentioning

confidence: 99%

Experiment Investigate on the Effectiveness of Flexible Pipes to Isolate Sea-Water Pump Generated Vibration

et al. 2020

View full text Add to dashboard Cite

Vibration control is important in maintaining the silence of the underwater vehicle. Among the many methods of vibration control, isolation is by far the most efficient approach. However, as one of the major vibration sources in underwater vehicle, the vibration isolation of the sea-water pump has not been well explored. The sea-water pipe is the primary vibration transmit path from the sea-water pump to the housing. In order to realize the vibration isolation of the sea-water pump, the sea-water pipe must have certain flexibility and damping. In this study, scaled model tests were carried out to investigate the isolation effectiveness of flexible pipes in isolated sea-water pump. Specifically, three types of flexible pipes, i.e., double layer metal bellows (DLMB), rubber pipes (RP) and bellows coated rubber (BCR) were designed and tested. Tests were carried out under the operation rotate speeds of the sea-water pump. Our results show that compared with single layer metal bellows (SLMB), the isolation effectiveness of DLMB and BCR were significant and stable in high frequency regions. The optimal pipe can be chosen for different vibration reduction requirements in practical engineering.

show abstract

“…e equations derived by Hosseini and Bahaadini are linear. Hu et al [37] developed a nonlinear two-dimensional model for cantilevered fluidconveying micropipes and explored the possible size-dependent nonlinear responses based on the modified couple stress theory. Guo et al [38] applied the center manifold theory, normal form method and symmetry to reduce rigorously the equations of motion to a two-degree-of-freedom dynamic system and calculate the corresponding coefficients.…”

Section: Introductionmentioning

confidence: 99%

Fluid-Induced Nonlinear Vibration of a Cantilevered Microtube with Symmetric Motion Constraints

Guo

2020

Shock and Vibration

View full text Add to dashboard Cite

This paper investigates the dynamic behavior of a cantilevered microtube conveying fluid, undergoing large motions and subjected to motion-limiting constraints. Based on the modified couple stress theory and the von Kármán relationship, the strain energy of the microtube can be deduced and then the governing equation of motion is derived by using the Hamilton principle. The Galerkin method is applied to produce a set of ordinary differential equations. The effect of the internal material length scale parameter on the critical flow velocity is investigated. By using the projection method, the Hopf bifurcation is demonstrated. The results show that size effect on the vibration properties is significant.

show abstract

Nonlinear and chaotic vibrations of cantilevered micropipes conveying fluid based on modified couple stress theory

Cited by 80 publications

References 29 publications

Nonlocal instability of cantilever piezoelectric carbon nanotubes by considering surface effects subjected to axial flow

Nonlocal instability of cantilever piezoelectric carbon nanotubes by considering surface effects subjected to axial flow

Experiment Investigate on the Effectiveness of Flexible Pipes to Isolate Sea-Water Pump Generated Vibration

Fluid-Induced Nonlinear Vibration of a Cantilevered Microtube with Symmetric Motion Constraints

Contact Info

Product

Resources

About