Atcı D.Bağdatlı S.M.2024-07-222024-07-22201709467076http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/15357This 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.EnglishBoundary conditionsFrequency responseParametric devicesPerturbation techniquesFrequency-response curvesHamiltonsMethod of multiple scaleMicro beamsNon idealsNumerical resultsParametric resonanceWeighting factorsEquations of motionVibrations of fluid conveying microbeams under non-ideal boundary conditionsArticle10.1007/s00542-016-3255-y