Journal
JOURNAL OF VIBRATION AND CONTROL
Volume 18, Issue 5, Pages 696-711Publisher
SAGE PUBLICATIONS LTD
DOI: 10.1177/1077546311414600
Keywords
Microbeams; modified couple stress theory; non-classical continuum theory; nonlinear vibration; size effects
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In this paper, the nonlinear forced-vibration of Euler-Bernoulli beams with large deflections is investigated based on the modified couple stress theory, a non-classical theory capable of capturing size effects. The classical theory is unable to predict the size effects. In systems with the dimensions in order of microns and sub-microns the size effects are very significant. For some specific beams subjected to a concentrated force at its middle as the harmonic exciter, the size-dependent responses are investigated for primary, super-harmonic and sub-harmonic resonances. The results show that the frequency-responses of the system are highly size-dependent.
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