(a) 的稳定性
(a)Stabilityof
(b) 的稳定性
(b)Stabilityof
图17和的稳定性
Fig.17Stabilityofand
4结论
本文分别用数值法（Runge–Kutta法）和近似解析法（多尺度法）对受法向激励的轴向运动分层复合材料薄壁圆柱壳的非线性振动进行了研究。通过分析得到以下结论
(1)材料的分层对系统非线性特性产生了本质改变，使轴向运动分层复合材料圆柱壳的非线性特性呈现明显软特性，与其它轴向运动体及非轴向运动复合材料薄壁圆柱壳的非线性呈现明显的硬特性有着很大区别。
(2)两种方法所得到的幅频特性曲线均能说明本文中的系统存在1:1内共振。
(3)数值法与多尺度法的研究结果保持一致，进一步验证了结果的可靠性，参数研究表明，激振力幅值的增大及阻尼、速度的减小会带来响应振幅增加、共振区域扩大及内共振现象更加显著。而多尺度法的小参数对幅频特性曲线影响不大。
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