Vibrations of fluid conveying microbeams under non-ideal boundary conditions

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Date

2017

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Publisher

Springer Verlag

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. © 2017, Springer-Verlag Berlin Heidelberg.

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Keywords

Boundary conditions , Frequency response , Parametric devices , Perturbation techniques , Frequency-response curves , Hamiltons , Method of multiple scale , Micro beams , Non ideals , Numerical results , Parametric resonance , Weighting factors , Equations of motion

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http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/15357

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