| 具有面内剪切非线性复合材料层板的1/4亚谐共振 |
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| 引用本文： | 黄再兴,朱金福.具有面内剪切非线性复合材料层板的1/4亚谐共振[J].南京航空航天大学学报,1999,31(5):2. |
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| 作者姓名： | 黄再兴 朱金福 |
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| 作者单位： | 南京航空航天大学飞行器系,南京,210016 |
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| 摘 要： | 利用Ｖｏｎ Ｋａｒｍ ａｎ 薄板大挠度理论和Ｈａｈｎ－Ｔｓａｉ本构方程研究了四边简支、一对边受压缩动载荷的（０／９０）ｓ 对称铺设正交各向异性矩形层合板的参数振动问题。利用奇异性理论着重讨论了１／４ 亚谐共振时板的各种可能的分叉行为，分析了面内剪切非线性特性对参数共振和分叉曲线的影响，得到了一些新结果。
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| 关 键 词： | 胶合板 参数振动 面内剪切 非线性 大挠度理论 |
| 修稿时间： | 1998年12月23 |
1/4 Subharmonic Resonance of Laminated Composite Plates with Nonlinear In-Plane Shear Properties |
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| Huang Zaixing,Zhu Jinfu.1/4 Subharmonic Resonance of Laminated Composite Plates with Nonlinear In-Plane Shear Properties[J].Journal of Nanjing University of Aeronautics & Astronautics,1999,31(5):2. |
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| Authors: | Huang Zaixing Zhu Jinfu |
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| Abstract: | The parametric vibration problems of a symmetric orthotropic laminated rectangular plate (0/90) s with simply supported edges by using the Von Karman theory of plates and the constitutive equations advanced by Hahn Tsai are investigated. With the help of LS reduction method and singularity theories, all possible bifurcations in 1/4 subharmonic parametric resonance are discussed. The results obtained show that there only exists three kinds of fundamental bifurcation curves of 1/4 subharmonic parametric resonance. Thus, the bifurcation behavior of 1/4 subharmonic parametric resonance is simpler than that of 1/2 subharmonic parametric resonance. In addition, the in plane shear nonlinearity has direct influences upon 1/4 subharmonic parametric resonance, and its bifurcation patterns can be controlled by adjusting the coefficient c of the in plane shear nonlinearity. |
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| Keywords: | laminated wood parametric resonance in plane shear nonlinearity large deflection theory |
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