Viscoelastically coupled mechanics of fluid-conveying microtubes

Ghayesh, Mergen H.; Farajpour, Ali; Farokhi, Hamed

doi:10.1016/j.ijengsci.2019.103139

Cited by 38 publications

(4 citation statements)

References 55 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In another work, Mashrouteh et al [12] evaluated the influence of viscoelastic damping, nonlinearity, and geometry on the nonlinear vibrational of viscoelastic micro robots with flowing fluid. Ghayesh et al [13,14] narrowed their research down to the vibrational control of viscoelastic micro robots conveying fluid.…”

Section: Introductionmentioning

confidence: 99%

Fractional‐order sliding mode control for a novel magneto‐electro‐elastic microtube robot

Tofigh,

Shah‐Mohammadi‐Azar,

Rezazadeh

et al. 2023

Asian Journal of Control

View full text Add to dashboard Cite

In this paper, a tracking controller based on a non‐integer sliding surface is proposed for a magneto‐electro‐elastic (MEE) fluid‐conveying microtube robot. The smart/adaptive MEE material enables us to control the robot with no need for external sensors and actuators. The micro‐robot lateral motion is modeled by Euler–Bernoulli beam equations. The governing equation of the robot is derived using the constitutive equations of MEE materials and Maxwell's principle followed by Hamilton's variational method. Based on the extracted dynamic model, a novel non‐integer order sliding mode controller is introduced to suppress the microtube vibration and to provide robust path following for the robot tip. This control approach is compatible with the parameter‐varying nature of the robot dynamics. Theoretical analyses, based on Lyapunov theory, are also conducted to verify the stability of the closed‐loop system. Comparative simulations are finally performed to show the efficiency of the proposed system in comparison with the conventional micro tubes made of smart materials and with an integer order sliding mode controller (SMC). The results demonstrate that the proposed robot properly meets the performance requirements in terms of vibration suppression and trajectory tracking, even in the presence of disturbances.

show abstract

Section: Introductionmentioning

confidence: 99%

Fractional‐order sliding mode control for a novel magneto‐electro‐elastic microtube robot

Tofigh,

Shah‐Mohammadi‐Azar,

Rezazadeh

et al. 2023

Asian Journal of Control

View full text Add to dashboard Cite

show abstract

“…Based on these higher-order continuum mechanics theories, some scholars have conducted considerable theoretical research on microtubes. The complex viscoelastically coupled nonlinear equations of a fluid-conveying microtube were presented by Ghayesh et al [8] to analyze the influence of the velocity of the flowing fluid on the system dynamics. Guo et al [9] established a three-dimensional (3D) theoretical model with modified coupled stress theory to study the effect of small length scales on two types of periodic motions.…”

Section: Introductionmentioning

confidence: 99%

Study on the Stability of Functionally Graded Simply Supported Fluid-Conveying Microtube under Multi-Physical Fields

2022

Micromachines

View full text Add to dashboard Cite

The stability of functionally graded simply supported fluid-conveying microtubes under multiple physical fields was studied in this article. The strain energy of the fluid-conveying microtubes was determined based on strain gradient theory, and the governing equation of the functionally graded, simply supported, fluid-conveying microtube was established using Hamilton’s principle. The Galerkin method was used to solve the governing equation, and the effects of the dimensionless microscale parameters, temperature difference, and magnetic field intensity on the stability of the microtube were investigated. The results showed that the dimensionless microscale parameters have a significant impact on the stability of the microtube. The smaller the dimensionless microscale parameters were, the stronger the microscale effect of the material and the better the microtube stability became. The increase in the temperature difference decreased the eigenfrequency and critical velocity of the microtube and reduced the microtube stability. However, the magnetic field had the opposite effect. The greater the magnetic field intensity was, the greater the eigenfrequency and critical velocity were, and the more stable the microtube became.

show abstract

“…In recent years, research on the dynamic stability of fluid-conveying microtubes has received extensive attention from scholars. Ghayesh et al [18] first proposed a scale-dependent theoretical model considering curvature nonlinearity, derived the nonlinear coupled motion equation of fluid-conveying microtubes and studied the complex viscoelastic coupling dynamics of fluid-conveying microtubes. Considering the inextensibility of the fluid-conveying microtubes and the neglect of coupled stress effects, Dehrouyeh-Semnani et al [19] used the Hamiltonian principle to establish the motion equation of the fluid-conveying microtubes.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Nonlinear Vibration of Functionally Graded Simply Supported Fluid-Conveying Microtubes Subjected to Transverse Excitation Loads

2022

Micromachines

View full text Add to dashboard Cite

This paper presents a nonlinear vibration analysis of functionally graded simply supported fluid-conveying microtubes subjected to transverse excitation loads. The development of the nonlinear equation of motion is based on the Euler–Bernoulli theory, Hamilton principle and Strain gradient theory. The nonlinear equation of motion is reduced to a second-order nonlinear ordinary differential equation by the Galerkin method. The Runge–Kutta method is adapted to solve the equation, and the effects of the dimensionless microscale parameters, the amplitude and frequency of excitation loads on the stability of the microtubes system are analyzed. It is found that when the microtube diameter is equal to the material length scale parameter, the microtube movement pattern is quasi-periodic. With the increase of the dimensionless microscale parameter, the microtube movement changes from quasi-periodic to chaos. The smaller the power-law index of volume fraction, the smaller the vibration displacement of microtubes and the better the stability. The larger the amplitude of excitation loads is, the larger the vibration displacement of the microtubes will be. When the frequency of excitation loads is equal to the natural frequency of the microtubes, it will have resonance and the vibration displacement will increase significantly.

show abstract

Viscoelastically coupled mechanics of fluid-conveying microtubes

Cited by 38 publications

References 55 publications

Fractional‐order sliding mode control for a novel magneto‐electro‐elastic microtube robot

Fractional‐order sliding mode control for a novel magneto‐electro‐elastic microtube robot

Study on the Stability of Functionally Graded Simply Supported Fluid-Conveying Microtube under Multi-Physical Fields

Analysis of Nonlinear Vibration of Functionally Graded Simply Supported Fluid-Conveying Microtubes Subjected to Transverse Excitation Loads

Contact Info

Product

Resources

About