Vibration and instability of fluid-conveyed smart micro-tubes based on magneto-electro-elasticity beam model

Amiri, Ahad; Pournaki, I Jafarsadeghi; Jafarzadeh, Ehsan; Shabani, Rasoul; Rezazadeh, Ghader

doi:10.1007/s10404-016-1706-5

Cited by 41 publications

(9 citation statements)

References 29 publications

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“…The first term in the above equation is representative of bending strain energy while the second one stands for shear deformations. Now, the kinetic energy of the tube and the fluid flowing in it would be [48,[58][59][60][61]:…”

Section: Theoretical Formulationsmentioning

confidence: 99%

On the dynamics of micro-tubes conveying fluid on various foundations

2019

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In this paper, using modified couple stress theory, dynamic stability of a cantilevered micro-tube embedded in several types of elastic media is studied. The governing equation for lateral vibrations of the micro-tube conveying fluid is derived using the extended Hamilton's principle. The numerical results are obtained by employing the extended Galerkin's method. For validation purposes, the obtained results for simple cases are compared and findings indicate a very good agreement with those available in the literature. The stability maps of different configurations with different flow velocities are studied and the influences of various parameters such as material length scale, external diameter and different elastic properties on the stability of the system are considered. Results indicate that elastic environments may enlarge the stability regions significantly at larger values of mass ratio parameter while decrease it for smaller values of mass ratio parameter. Moreover, using elastic media mathematically defined by series functions provides the capability to simulate almost any real time operational environment the micro-tube embedded in and results in an optimal stability state of the micro-structure carrying fluid flow.

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Section: Theoretical Formulationsmentioning

confidence: 99%

On the dynamics of micro-tubes conveying fluid on various foundations

2019

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“…The vibration characteristics and static behavior of MEE micro/nano-beams (Amiri et al, 2016;Ebrahimi et al, 2019bEbrahimi et al, , 2019dJandaghian and Rahmani, 2016;Ke and Wang, 2014;Vaezi et al, 2016;Xu et al, 2016), macro-beams (Annigeri et al, 2007;Kumaravel et al, 2007;Vinyas et al, 2018a;Xin and Hu, 2015a), micro/ nano-plates Gholami, 2016a, 2016b;Farajpour et al, 2016;Jamalpoor et al, 2017;Ke et al, 2014a;Li et al, 2014;Waksmanski and Pan, 2016) and macro-plates (Chen et al, 2014;Ebrahimi et al, 2019aEbrahimi et al, , 2019cPan and Heyliger, 2002;Ramirez et al, 2006b;Razavi and Shooshtari, 2015;Razavi, 2015, 2016;Vinyas, 2019aVinyas, , 2019bKattimani, 2018, 2019;Vinyas et al, 2018bVinyas et al, , 2019aVinyas et al, , 2019bWang et al, 2010;Xin and Hu, 2015b) have been extensively investigated. However, due to structural complexity, the vibration analysis of MEE cylindrical shells has been rarely reported in the open literature.…”

Section: Introductionmentioning

confidence: 99%

An accurate model for free vibration of porous magneto-electro-thermo-elastic functionally graded cylindrical shells subjected to multi-field coupled loadings

Zhu

Sun

et al. 2021

Journal of Intelligent Material Systems and Structures

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An accurate model for vibration of a porous magneto-electro-thermo-elastic functionally graded (METE-FG) cylindrical shell made of barium titanate (BaTiO3) and cobalt diiron tetraoxide (CoFe2O4) with magneto-electro-thermal loadings is proposed within the framework of Hamiltonian system. Four types of porosity distribution profiles in the thickness direction are considered. By introducing a new total eigenvector, the higher-order governing differential equations are transformed into a set of lower-order equations. The exact solution for free vibration of METE-FG shells can be expanded in terms of specific symplectic eigenfunctions having seven possible explicit forms. Subsequently, analytical frequency equations and vibration mode shapes for METE-FG shells with various boundary conditions are derived simultaneously. A comparison study is presented to demonstrate the accuracy of the proposed model and very good agreement is observed. The effects of material properties and magneto-electro-thermal loadings on free vibration characteristics of METE-FG cylindrical shells are analyzed and discussed in detail.

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“…This could be attributed to their extraordinary intrinsic properties leading to efficient, optimized and adaptive designs. 1–5 Among smart materials, piezoelectrics are nominated as the most common ones that have been utilized in various real applications to improve their capabilities and abilities. 6,7 Accordingly, various researches on the mechanical response of the piezoelectric Nano/micro structures could be detected in the literature.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear static pull-in instability analysis of smart nano-switch considering flexoelectric and surface effects via DQM

Masoumi

Amiri

Vesal

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part C:

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This paper deals with the investigation of nonlinear static pull-in instability of smart Nano-switches regarding the new size-dependent phenomenon, known as flexoelectricity, together with the surface effects. It is noteworthy that the coupling effect of the flexoelectricity and surface elasticity on nonlinear static pull-in instability of electrostatically-actuated Nano-switches has not been studied before. Euler-Bernoulli beam assumptions in conjunction with the von-Karman nonlinearity are considered to formulate the problem. The Nano-switch is subjected to electrostatic actuation force with fringing field effect as well as Casimir force. Refined constitutive relations for piezoelectric materials capturing the flexoelectric effects are taken into consideration for mathematical modeling. Additionally, a surface elasticity approach is employed to reach an accurate model for the system. Considering the imposed electric boundary conditions, Gauss’s equation is solved to acquire the electric potential distribution along with the thickness of the Nano-switch. Thereafter, Hamilton’s principle is hired to derive the coupled nonlinear governing equations of the system. Utilizing the differential quadrature method (DQM), the nonlinear ordinary differential equations are transformed into a system of nonlinear algebraic equations. Consequently, Newton-Raphson method is exploited as a numerical method to solve the obtained algebraic equations which leads to the pull-in voltage. Investigating the maximum displacement of the Nano-switch in response to the applied electrostatic force, the effects of various involved parameters such as flexoelectricity and surface elasticity on pull-in instability are explored in detail. Furthermore, the size-dependent behavior of the pull-in instability against the flexoelectric, surface effects and applied piezoelectric voltage is analyzed. Totally, it is revealed that the flexoelectricity may exhibit a substantial influence on the pull-in behavior of smart Nano-switches, especially for some cases with small thicknesses. Therefore, this effect should be taken into account to reach an accurate, reliable and optimized design for Nano-switches.

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Vibration and instability of fluid-conveyed smart micro-tubes based on magneto-electro-elasticity beam model

Cited by 41 publications

References 29 publications

On the dynamics of micro-tubes conveying fluid on various foundations

On the dynamics of micro-tubes conveying fluid on various foundations

An accurate model for free vibration of porous magneto-electro-thermo-elastic functionally graded cylindrical shells subjected to multi-field coupled loadings

Nonlinear static pull-in instability analysis of smart nano-switch considering flexoelectric and surface effects via DQM

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