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Journal of Vibration and Shock ›› 2010, Vol. 29 ›› Issue (12) : 206-210.

论文

Ren Yong sheng; Wang Xiaohui

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Abstract

The natural vibration behavior of thin-walled composite cantilevered beams with SMA fiber actuation was studied. The coupled equations of the free vibration of the active anisotropic thin-walled box-beams incorporating SMA fibers were derived using the active two-dimensional analysis model developed by the author and Hamilton's variational principle. The general form of coupled equations of motion was applied to the cases of Circumferentially Uniform(CUS) and Circumferentially AntiSymmetric(CAS).Closed form expressions for the natural frequencies, corresponding to the extension-twist coupling vibration and bending-twist coupling vibration were presented. Numerical studies were presented to compare the proposed model against the previously established passive model .The effect of SMA actuation and the elastic coupling on the frequencies was evaluated