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基于三角剪切变形理论的对称层合板振动分析
引用本文:杨明绥,李大鹏,洪志亮,武卉,路卫华,梅繁.基于三角剪切变形理论的对称层合板振动分析[J].沈阳航空工业学院学报,2012,29(3):5-9.
作者姓名:杨明绥  李大鹏  洪志亮  武卉  路卫华  梅繁
作者单位:1. 中航工业沈阳发动机设计研究所,沈阳,110015
2. 中航工业沈阳黎明航空发动机(集团)有限责任公司,沈阳,110043
3. 中航沈飞民用飞机有限责任公司,沈阳,110034
摘    要:根据三角剪切变形层合梁理论,推导出对称复合材料层合板的运动微分方程,利用逆复合二次径向基函数无网格配点法对运动微分方程进行离散,预测了对称复合材料层合板的自由振动特性。将不同材料参数、几何尺寸的层合板固有频率计算结果与相关文献中的结果进行对比,结果表明:用逆复合二次径向基函数离散的三角剪切变形理论在对称复合材料层合板自由振动分析方面具有一定的精度。

关 键 词:三角剪切变形理论  复合材料层合板  振动  逆复合二次径向基函数

Vibration analysis of symmetric laminated composite plates by trigonometric shear deformation theory
YANG Ming-sui , LI Da-peng , HONG Zhi-liang , WU Hui , LU Wei-hua , MEI Fan.Vibration analysis of symmetric laminated composite plates by trigonometric shear deformation theory[J].Journal of Shenyang Institute of Aeronautical Engineering,2012,29(3):5-9.
Authors:YANG Ming-sui  LI Da-peng  HONG Zhi-liang  WU Hui  LU Wei-hua  MEI Fan
Institution:1. AVIC Shenyang Aeroengine Research Institute, Shenyang 110015; 2. AVIC Shenyang Liming Aero-engine(Group) Cor- poration LTD, Shenyang, 110043; 3. AVIC SAC Commercial Aircraft Company Limited, Shenyang, 110134)
Abstract:Based on the trigonometric shear deformation theory for laminated beams, the motion differential equation of symmetric laminated composite plates is deduced. The motion differential equation discretized by a meshless collocation method based on the inverse multiquadric radial basis function is used to predict the free vibration behavior of symmetric laminated composite plates. Natural frequencies are computed for various material parameters, geometry parameters of laminated plates, and compared with some available published results. Through numerical experiments, the high numerical accuracy of trigonometric shear de- formation theory discretized by the inverse multiquadric radial basis function for free vibration analysis of symmetric laminated composite plates are demonstrated.
Keywords:trigonometric shear deformation theory  laminated composite plates  vibration  inverse mul- tiquadric radial basis functions
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