| 剪切变形对直线型正交异性层合圆板大幅度受迫振动的影响* |
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| 引用本文： | 徐加初 刘人怀. 剪切变形对直线型正交异性层合圆板大幅度受迫振动的影响*[J]. 应用数学和力学, 1998, 19(2): 105-112 |
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| 作者姓名： | 徐加初 刘人怀 |
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| 作者单位： | 1.南京航空航天大学, 南京 210016; |
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| 基金项目： | 国家自然科学基金,航空基金 |
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| 摘 要： | 本文研究了计及横向剪切变形的直线型正交异性层合圆板在简谐载荷q0cosωt作用下的非线性受迫振动问题.采用伽辽金方法得到强振频率与振幅关系的解析解.最后,分析了横向剪切对板振动的影响,并给出了板的非线性自由振动的非线性周期对线性周期的比值.
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| 关 键 词： | 大幅度受迫振动 直线型正交异性 层合圆板 横向剪切 |
| 收稿时间： | 1996-03-06 |
Shear Effects on Large Amplitude Forced Vibration of Symmetrically Laminated Rectilinearly Orthotropic Circular Plates |
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| Xu Jiachu. Shear Effects on Large Amplitude Forced Vibration of Symmetrically Laminated Rectilinearly Orthotropic Circular Plates[J]. Applied Mathematics and Mechanics, 1998, 19(2): 105-112 |
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| Authors: | Xu Jiachu |
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| Affiliation: | 1.Department of Aircraft Engineering, Nanjing University of Aeronauties and Astronautics, Nanjing 210016, P. R. China;2.Institute of Mathematics and Mechanics Jinan University, Guangzhou 510632, P. R. China |
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| Abstract: | In this paper,nonlinear forced vibration of symmetrically laminated rectilined rectilinearly orthotropic circular plates excited by a harmonic force q0cosωt including effects of transverse shear deformation is discussed.The ahalytical solution for the relationship between forcing frequency and amplitude of vibration is obtained by Galerkin's method.Finally,the paper analyses the effect of the transverse shear on the vibration of the plate and gives the ratio of nonlinear period to linear period to linear period for nonlinear free vibration of the plate. |
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| Keywords: | large amplitude forced vibration rectilinear orthotropy laminated circular plate transverse shear |
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