Free transverse vibration of composite laminated beam restrained by torsion springs

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Journal of Vibration and Shock ›› 2023, Vol. 42 ›› Issue (13) : 170-176.

CHEN Qingyuan, LI Jing, FANG Pengya, PEI Shixun, LIU Shuangyan, SU Yi

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Abstract

Based on the Galerkin method, an explicit analytical solution for free vibration of laminated composite beams with the boundary ends elastically-restrained against rotation is presented. In order to avoid the numerical instability of the classical vibration eigenfunction of higher order (≥11) modes, the transverse deflection functions of the rotationally-restrained laminated composite beams are constructed through a unique weighting combination of (modified) vibration eigenfunctions of hinged-hinged, fixed-fixed, hinged-fixed and fixed-hinged beams. The validity study shows that the present explicit analytical solution is effective in performing free vibration analyses of laminated composite beams with ends elastically-restrained against rotation.

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free vibration / rotationally-restrained / laminated composite beams / Glerkin method / an explicit analytical solution

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CHEN Qingyuan, LI Jing, FANG Pengya, PEI Shixun, LIU Shuangyan, SU Yi. Free transverse vibration of composite laminated beam restrained by torsion springs[J]. Journal of Vibration and Shock, 2023, 42(13): 170-176

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