Journal
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
Volume 45, Issue 1, Pages 1-11Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/15397734.2015.1125298
Keywords
Free and forced vibrations; micro-spinning beam; modified couple stress theory; nonclassical continuum theories; small-scale structures
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On the basis of the modified couple stress theory, some analytical results are obtained for vibrational parameters of micro-spinning Rayleigh beams with an axial mass-eccentricity distribution. The modified couple stress theory is a nonclassical continuum theory capable to capture the size effects in small-scale structures. After writing the governing equations of motion, they are transformed to the complex form. Then by utilizing the Galerkin method, analytical expressions for natural frequencies of the micro-spinning beam in forward and backward whirl motions are obtained. Critical speeds are also analytically presented in the two whirl motions for different modes. Moreover, the vibrational amplitude of the micro-spinning beam with axial mass eccentricity distribution is determined. Some numerical results are presented to study the effect of the length scale parameter on the vibrational characteristics.
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