| 基于高阶改进方法的层合板固有频率分析 |
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| 引用本文： | 黄凌志,吴锦武,李明俊,高若雷.基于高阶改进方法的层合板固有频率分析[J].中国机械工程,2011,22(21). |
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| 作者姓名： | 黄凌志 吴锦武 李明俊 高若雷 |
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| 作者单位： | 南昌航空大学,南昌,330063 |
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| 基金项目： | 国家自然科学基金资助项目(10962006); 航空科学基金资助项目(2011ZA56002) |
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| 摘 要： | 针对一般的计算层合板振动特性的方法过于繁复的问题,采用了一种高阶改进方法来计算复合材料层合板的固有频率。建立了高阶改进方法的层合板动能和势能表达式,利用哈密顿原理构建了层合板的自由振动方程并计算了层合板的固有频率。在此基础上,通过该方法计算了铺设角度、跨厚比和弹性模量比对层合板固有频率的影响。结果表明：该算法可以有效地计算出反对称铺设层合板和正交铺设层合板的固有频率,同时也可以计算任意形式铺设的层合板的固有频率。
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| 关 键 词： | 层合板 固有频率 高阶改进法 数值分析 |
Analyses for Natural Frequency of Laminated Composite Plates Using Refined Higher-order Theories |
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| Huang Lingzhi Wu Jinwu Li Mingjun Gao Ruolei Nanchang Hangkong University,Nanchang.Analyses for Natural Frequency of Laminated Composite Plates Using Refined Higher-order Theories[J].China Mechanical Engineering,2011,22(21). |
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| Authors: | Huang Lingzhi Wu Jinwu Li Mingjun Gao Ruolei Nanchang Hangkong University Nanchang |
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| Affiliation: | Huang Lingzhi Wu Jinwu Li Mingjun Gao Ruolei Nanchang Hangkong University,Nanchang,330063 |
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| Abstract: | An improved higher order method was used in calculating the natural frequency of a laminated composite plate because general calculation method was complicated.By calculating the equation of kinetic energy and potential energy,an equation of free vibration of laminated plate was established using Hamilton's principle and calculated the natural frequencies of plates.The influences of the laying angles,thickness ratio and the cross-elastic modulus ratio on the frequency of laminated composite plate were analy... |
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| Keywords: | laminated composite plate natural frequency refined higher-order theory numerical analysis |
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