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有任意脱层复合材料梁的非线性动力稳定性
引用本文:罗松南,傅衣铭,曹志远.有任意脱层复合材料梁的非线性动力稳定性[J].振动工程学报,2002,15(1):57-61.
作者姓名:罗松南  傅衣铭  曹志远
作者单位:1. 同济大学工程力学与技术系,上海,200092;湖南大学工程力学系,长沙,410082
2. 湖南大学工程力学系,长沙,410082
3. 同济大学工程力学与技术系,上海,200092
基金项目:国家自然科学基金资助项目 (编号 :19872 0 2 2 4 )
摘    要:基于弹性理论建立了有脱层复合材料梁的基本方程式,研究了有任意脱层的考虑横向剪切变形的复合材料梁的非线性动力稳定性,对脱层梁进行分区处理,方便地描述了脱层长度,脱层位置,利用振型函数作为位移函数的形函数,采用增量谐波平衡法对基本方程式进行求解,考虑了不同脱层位置和不同脱层长度对脱层梁的非线性动力稳定性的影响,得出了各种情况下的动力不稳定性区域。

关 键 词:非线性振动  动力稳定性  脱层复合材料梁
修稿时间:2000年10月25

Nonlinear Dynamic Stability of Composite Beams with Arbitrary Delamination
Luo Songnan , Fu Yiming Cao Zhiyuan.Nonlinear Dynamic Stability of Composite Beams with Arbitrary Delamination[J].Journal of Vibration Engineering,2002,15(1):57-61.
Authors:Luo Songnan  Fu Yiming Cao Zhiyuan
Affiliation:Luo Songnan 1,2 Fu Yiming 2 Cao Zhiyuan 1
Abstract:Governing equations are derived on the basis of elastic theory, and nonlinear dynamic stability, including the transverse shear, is investigated for composite beams with an arbitrary delamination, The different sizes and positions of the delamination are described easily because the beam is divided into different regions. The modal shape functions is used as displacements functions. The governing equations are resolved by the incremental harmonic balance method. The effects of different positions and sizes of the delamination on nonlinear dynamic stability of beam are considered. The regions of dynamic unstability about varies case are obtained.
Keywords:nonlinear vibration  composite materials  beam  stability  delamination
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