| 四边简支波形夹层板的振动和稳定 |
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| 引用本文： | 吴晖,俞焕然.四边简支波形夹层板的振动和稳定[J].兰州大学学报(自然科学版),2002,38(4):28-32. |
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| 作者姓名： | 吴晖 俞焕然 |
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| 作者单位： | 兰州大学,物理科学与技术学院,甘肃,兰州,730000 |
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| 摘 要： | 利用线性微分算子的可交换性给出了一种把具有波纹型夹芯的夹层板的包含两个广义位移的控制方程组化为仅包含一个广义位移函数的单一方程的简单方法 ,并给出了四边简支矩形波形夹层板的固有频率和均匀纵向压力作用下临界力的精确解 ,并揭示了二者之间的内在联系 .
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| 关 键 词： | 矩形夹层板 波纹型夹芯 固有频率 临界力 精确解 |
| 文章编号： | 0455-2059(2002)04-0028-05 |
| 修稿时间： | 2001年2月27日 |
Vibration and stability of corrugated core sandwich plates with all edges simply supported |
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| WU Hui,YU Huan-ran.Vibration and stability of corrugated core sandwich plates with all edges simply supported[J].Journal of Lanzhou University(Natural Science),2002,38(4):28-32. |
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| Authors: | WU Hui YU Huan-ran |
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| Abstract: | A simple approach to reduce the governing equations for orthotropic co rrugated core sandwich plates to a single equation containing only one displacem ent function was presented and the exact solution of the natural frequencies for rectangular corrugated core sandwich plates with all edges simply supported was obtained. Furthermore, its critical force under the action of the longitudi nal uniformly distributed compressive forces is also obtained and the intrinsic rela tionship between its natural frequency and critical force has been revealed. |
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| Keywords: | rectangular sandwich plates corrugated core natural frequency crit ical force exact solution |
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