Free vibration solution for clamped orthotropic plates using Lagrangian multiplier technique

Free vibration solution for clamped orthotropic plates using Lagrangian multiplier technique
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DOI:
10.2514/3.9594
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发表时间:
1987
期刊:
影响因子:
2.5
通讯作者:
R. Ramkumar;P. Chen;W. J. Sanders
R. Ramkumar;P. Chen;W. J. Sanders
中科院分区:
工程技术3区
文献类型:
--
作者:
R. Ramkumar;P. Chen;W. J. Sanders

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利用拉格朗日乘子法对固支各向异性层合板的固有频率和振型进行了分析计算。采用高阶板理论考虑了横向剪切变形的影响。用开发的分析作出的预测与现有的实验测试结果和其他分析解显示出很好的一致性。验证的自由振动分析还被用于预测固支各向异性板在硬物低速冲击下的动力响应。
Using the Lagrangian multiplier technique, an analysis was developed to compute the natural frequencies and mode shapes of clamped orthotropic laminated plates. Transverse shear deformation effects were included using a higher-order plate theory. Predictions made with the developed analysis demonstrated excellent agreement with the available experimental test results and other analytical solutions. The validated free vibration analysis has also been used to develop an analysis to predict the dynamic response of clamped orthotropic plates subjected to low-velocity impact by a hard object.