Dynamic stability of a size-dependent micro-beam
作者： Abbas Talimian , Péter Béda
DOI: 10.1016/J.EUROMECHSOL.2018.05.013
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摘要: Abstract The effect of variation the geometrical dimensions on dynamic instability regions (DIRs) a rectangular cross-sectioned micro-beam with simply supports is discussed in this study based modified coupled stress theory. A set linear equations are derived basis Lagrange method and trial series expansions for vertical displacement rotation Timoshenko model while longitudinal neglected due to stretching micro-beams mid-plane. first approximation stability analysis done by application Bolotin besides obtaining Mathieu-Hill equations. numerical results demonstrate how cross section's height length only effective parameters DIRs somehow that when increased going coincide.
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