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Vibrations of fluid conveying microbeams under non-ideal boundary conditions

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Abstract

This study aimed to present the effects of non-ideal boundary conditions (BCs) on fundamental parametric resonance behavior of fluid conveying clamped microbeams. Non-ideal BCs are modelled by using the weighting factor (k). Equations of motion are obtained by using the Hamilton’s Principle. A perturbation technique, method of multiple scales, is applied to solve the non-linear equations of motions. In this study, frequency-response curves of fundamental parametric resonance are plotted and the effects of non-ideal BCs are shown. Besides, instability areas of microbeams under ideal and non-ideal BCs are investigated by considering different system parameters. Numerical results show that instability areas significantly changed by the effect of non-ideal BCs.

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Acknowledgements

This research received no specific grant from any funding agency in the public, commercial or not-for-profit sectors. The first author acknowledge to the Scientific and Technological Research Council of Turkey (TUBITAK) for financial support.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Celal Bayar University, 45140, Manisa, Turkey

    Duygu Atcı & Süleyman Murat Bağdatlı

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  1. Duygu Atcı
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  2. Süleyman Murat Bağdatlı
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Correspondence to Duygu Atcı.

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Atcı, D., Bağdatlı, S.M. Vibrations of fluid conveying microbeams under non-ideal boundary conditions. Microsyst Technol 23, 4741–4752 (2017). https://doi.org/10.1007/s00542-016-3255-y

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