Dynamics and vibration analysis of suspended microchannel resonators based on strain gradient theory

Vakilzadeh, Mohsen; Vatankhah, Ramin; Eghtesad, Mohammad

doi:10.1007/s00542-017-3596-1

Cited by 4 publications

(2 citation statements)

References 27 publications

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“…Vakilzadeh et al. (2018b) obtained the following partial differential equation for free vibration of the SMR where m c is the mass per unit length of the microcantilever and m f is the mass per unit length of the fluid.…”

Section: Finite Element Model Of the Smrmentioning

confidence: 99%

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Tracking control of suspended microchannel resonators based on Krylov model order reduction method

Vakilzadeh

Vatankhah

Eghtesad

2018

Journal of Vibration and Control

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In this paper, trajectory tracking control of suspended microchannel resonators (SMRs) is studied. A finite element procedure based on modified strain gradient theory will be used to model the SMR. Finite element methods usually lead to a model with a relatively high number of degrees of freedom. Thus, first, we will utilize the second order Krylov subspace method based on multi-moment matching to obtain a second order bilinear reduced system. Then, an output feedback controller and an optimal controller which take much less computation time and effort will be designed for the reduced system. The SMR is a micro-resonator which oscillates in a special frequency in practical cases, and thus tracking the desired paths is considered here as the control objective. Simulation results show the excellent performance of the proposed controllers.

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Section: Finite Element Model Of the Smrmentioning

confidence: 99%

“…They also investigated the pull-in instability of electrostatically actuated SMRs in another research (Yan et al., 2017b). Recently, dynamics and free vibration of the SMRs based on MSGT have been studied by Vakilzadeh et al. (2018b).…”

Section: Introductionmentioning

confidence: 99%