| 复合材料裂纹板振动分析 |
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| 引用本文： | 潘建荣,黄维杨,樊蔚勋.复合材料裂纹板振动分析[J].航空学报,1989,10(11):603-608. |
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| 作者姓名： | 潘建荣 黄维杨 樊蔚勋 |
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| 作者单位： | 中国直升机设计研究所
(潘建荣)，南京航空学院
(黄维杨)，南京航空学院(樊蔚勋) |
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| 摘 要： | 以往,人们在分析裂纹构件的整体特性时,认为裂纹尖端的奇异性不起主导作用,而只考虑刚度的变化。本文对裂纹构件进行了分析,根据分区广义变分原理,将裂纹板划分成多个区域,利用拉氏乘子,导出了求解裂纹板固有振动特性的变分泛函。最后,用收敛级数法求解了四边简支条件下穿透性裂纹板的振动特性,并与有限元解和实验值进行了比较,得到了一些有益的结论。
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| 关 键 词： | 复合材料 变分泛函 裂纹结构 |
| 收稿时间： | 1988-09-29; |
AN ANALYSIS FOR VIBRATION OF COMPOSITE LAMINATES WITH CRACKS |
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| Chinese Helicopter Research and Development InstitutePan JianrongNanjing Aeronautical Institute Huang Weiyang and Fan Weixun.AN ANALYSIS FOR VIBRATION OF COMPOSITE LAMINATES WITH CRACKS[J].Acta Aeronautica et Astronautica Sinica,1989,10(11):603-608. |
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| Authors: | Chinese Helicopter Research and Development InstitutePan JianrongNanjing Aeronautical Institute Huang Weiyang and Fan Weixun |
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| Institution: | Chinese Helicopter Research and Development InstitutePan JianrongNanjing Aeronautical Institute Huang Weiyang and Fan Weixun |
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| Abstract: | In this paper a variational function is derived, by which the obtained characteristics of cracked structures are obtained and the natural characteristics of a plate with penetrating cracks are analyzed by convergent series method. The Lagrange's multipliers are derived for bending composite laminates and the computational formulas for natural characteristics of a plate with arbitrary penetrating cracks are established. At last, the results obtained by the convergent series method are compared with those by finite element method or tests. The results are proven to be satisfactory. |
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| Keywords: | composite material variational function cracked structures |
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