Free vibration analysis of composite thin-walled cantilever beams with variable closed-section

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Journal of Vibration and Shock ›› 2012, Vol. 31 ›› Issue (14) : 117-123.

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Free vibration analysis of composite thin-walled cantilever beams with variable closed-section

Ma Jing-min1, a, Ren Yong-sheng2, b，Yao Wen-li3,c

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Abstract

Abstract：The equations of motion for the free vibration of composite thin-wall variable closed-section beams are derived based on Lagrange’s equation of the second kind. Two stiffness configuration of taper box beams are considered and corresponding simplified form of the free vibration equations and Galerkin solution method are presented. The finite element analysis software, ANSYS is used to calculate the natural frequency of composite thin-walled cantilever beams. And the results are compared with Galerkin solutions. The influence of composite elastic coupling, ply angle and taper ratio to thin-walled beams’ free vibration is investigated.

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composite / thin-wall beam / natural frequency / variable cross-section / ANSYS software

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Ma Jing-min;a;Ren Yong-sheng;b;Yao Wen-li;c. Free vibration analysis of composite thin-walled cantilever beams with variable closed-section[J]. Journal of Vibration and Shock, 2012, 31(14): 117-123