双闭室复合材料薄壁梁的结构阻尼细观分析

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振动与冲击 ›› 2012, Vol. 31 ›› Issue (23) : 158-165.

论文

双闭室复合材料薄壁梁的结构阻尼细观分析

任勇生1,宋玉壁1，孙双双2

作者信息 +

Micromechanics analysis for the Structure damping of thin-walled composite two-cell beams

Ren Yongsheng1 Song Yubi1 Sun Shuangshuang2

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文章历史 +

摘要

研究双闭室复合材料薄壁梁的结构阻尼特性。基于单层混杂材料的细观力学阻尼计算方法和多胞模型,分别获得单层复合材料的等效阻尼特性和等效弹性特性；基于变分渐进法（VAM)和Hamilton原理，建立双闭室复合材料薄壁梁振动方程；采用Galerkin法对薄壁梁进行自由振动分析；在获得薄壁梁振动模态矢量的基础上，根据最大应变能理论，对薄壁梁的模态阻尼性能进行预测，并且将阻尼预测的结果与现有的有限元计算结果进行对比，验证了本文阻尼分析模型的有效性。进一步针对四种种构型双闭室复合材料薄壁箱形梁，进行阻尼计算，揭示了纤维铺层角和纤维含量的影响。

Abstract

This paper presents a theoretical study of the damping of thin-walled composite two-cell beam. The micromechanic damping theory for fiber composite materials is employed to evaluate the damping capacity of the composite beam.The equations of motion of the beams are derived using Hamilton’s principle combined with variational asymptotically approach(VAM). The Galerkin’s method is used in order to solve the coupled differential equations. Analytical formulas of the modal damping of the beam are derived on the basis of maximum strain energy theory. Comparison of the theoretical solutions has been made with the results obtained from the finite element method. Numerical results are obtained for various layup cases of two-cell composite box beams. The effects of fiber orientations and the fibre volume fraction on modal damping are investigated.

导出引用

任勇生;宋玉壁;孙双双. 双闭室复合材料薄壁梁的结构阻尼细观分析[J]. 振动与冲击, 2012, 31(23): 158-165

Ren Yongsheng Song Yubi Sun Shuangshuang . Micromechanics analysis for the Structure damping of thin-walled composite two-cell beams[J]. Journal of Vibration and Shock, 2012, 31(23): 158-165