Coupled vibration of a cantilever micro-beam submerged in a bounded incompressible fluid domain

Shabani, Rasoul; Hatami, Hamed; Golzar, Farzin Ghahramanian; Tariverdilo, S.; Rezazadeh, Ghader

doi:10.1007/s00707-012-0792-z

Cited by 43 publications

(36 citation statements)

References 17 publications

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“…Shabani et al [21] analyzed the vibration of a cantilever microbeam submerged in a fully contained rectangular cavity, where L and a are lengths of the microbeam and the cavity, respectively (See Fig. 1).…”

Section: Mathematical Modelmentioning

confidence: 99%

“…We should mention that Shabani et al [21] derived the fluid pressure formulas in two regions as Eq. (3) by neglecting the elevation due to the microscale and ignoring the nonlinear term.…”

Section: Motivation Of the Free Boundary Modelmentioning

confidence: 99%

“…The researchers in [21] investigated the free vibration of submerged cantilever microbeam using the FourierBessel series expansion and linear potential theory. Their analysis was based on the assumption of equal kinematic conditions on the two beam-fluid interfaces and one imaginary fluid-fluid interfaces in a fixed height (See Equations (4d) and (5d)), whereas it is clear that each point along the vibrating beam has not equal height along the x coordinate.…”

Section: Mathematical Modelmentioning

confidence: 99%

“…Recently, A C C E P T E D M A N U S C R I P T some published papers investigated the added mass effects of the interacting fluids in micro-structures. In these cases, the operating microbeam may be surrounded by a liquid which exerts a reaction force characterized as the added mass in the dynamic analysis [19][20][21]. In the presented paper, free vibration of a cantilever microbeam surrounded by a bounded incompressible and inviscid fluid domain is studied.…”

Section: Introductionmentioning

confidence: 98%

See 3 more Smart Citations

A theoretical study for the vibration of a cantilever microbeam as a free boundary problem

Abdollahi

Ahdiaghdam

Ivaz

et al. 2016

Applied Mathematical Modelling

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Vibration of a beam has extensive applications in engineering and industry.The objective of this article is to provide a novel analytical model by free boundary approach to derive a more exact model for the small oscillations of a cantilever microbeam in contact with an incompressible bounded fluid in a cavity.First, a system of integral equations is proposed to solve and interpret the problem. Then, the existence of the solution is proved by the use of the Banach fixed point theorem At the end, an example is presented for verifying the proposed method and comparing the results with the fixed boundary approach.

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Section: Mathematical Modelmentioning

confidence: 99%

“…We should mention that Shabani et al [21] derived the fluid pressure formulas in two regions as Eq. (3) by neglecting the elevation due to the microscale and ignoring the nonlinear term.…”

Section: Motivation Of the Free Boundary Modelmentioning

confidence: 99%

Section: Mathematical Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

See 2 more Smart Citations

A theoretical study for the vibration of a cantilever microbeam as a free boundary problem

Abdollahi

Ahdiaghdam

Ivaz

et al. 2016

Applied Mathematical Modelling

View full text Add to dashboard Cite

show abstract

“…Sedighi and Shirazi presented a new asymptotic procedure to predict the nonlinear vibration behavior of microbeams predeformed by an electric field [11]. Shabani et al investigated the free vibrations of a cantilever microbeam submerged in a bounded frictionless and incompressible fluid cavity [12].…”

Section: Introductionmentioning

confidence: 99%

Electromechanical Coupled Forced Responses for Microplate

2014

Advances in Mechanical Engineering

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The electromechanical coupled forced response of the microplate subjected to electrostatic force is investigated. Using electromechanical coupled dynamic equations and the mode superposition method, the forced responses of the microplate to voltage excitation and load excitation are analyzed, respectively. Based on this, the coupled forced responses of the micrplate to voltage and load excitations are obtained. Beat vibration caused by the coupled response is investigated and the condition that the beat vibration occurs is determined.

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An overview of sensors and sensing materials for heavy metals in aqueous environments

et al. 2021

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This paper offers a critical overview of recent advancements in aqueous sensors for heavy metals. The paper focuses on the challenges and advantages of using microelectromechanical systems (MEMS) sensors in aqueous environments, as well as technical considerations for choosing appropriate polymeric sensing materials. In addition, general considerations and recommendations are included for developing MEMS chemical sensors. These considerations centre around the chemical nature of the target analyte and the environment of the sensor application. By following these recommendations and taking the time to design a suitable sensor and sensing material for the target application instead of a trial‐and‐error approach, it is possible to save both time and cost.

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Coupled vibration of a cantilever micro-beam submerged in a bounded incompressible fluid domain

Cited by 43 publications

References 17 publications

A theoretical study for the vibration of a cantilever microbeam as a free boundary problem

A theoretical study for the vibration of a cantilever microbeam as a free boundary problem

Electromechanical Coupled Forced Responses for Microplate

An overview of sensors and sensing materials for heavy metals in aqueous environments

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