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首页> 外文期刊>Composite Structures >Investigation of the rotary inertia and shear deformation effects on the out-of-plane bending and torsion nature frequencies of laminated beams
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Investigation of the rotary inertia and shear deformation effects on the out-of-plane bending and torsion nature frequencies of laminated beams

机译：旋转惯性和剪切变形对叠合梁平面外弯曲和扭转固有频率的影响研究

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The out-of-plane free vibration problem of symmetric cross-ply laminated beams is studied by the transfer matrix method. The distributed parameter model issued for predicting the natural frequencies. The rotary inertia and shear deformation effects are considered in the Timoshenko beam analysis based on the first-order shear deformation theory. For the Bernoulli-Euler beam analysis, these effects are neglected to study the effects of shear deformation and rotary inertia on the first six natural frequencies. The numeric algorithm available in the iterate is used to compute the exact overall dynamic transfer matrix. The effects of the rotary inertia and shear deformation are investigated for length/thickness ratios from 3 to 20, fixed-fixed, fixed-simple and fixedfree boundary conditions, and tow values of the thickness/width ratios of rectangular section (2, 0.5). The results obtained by the Bernoulli-Euler and Timosheno beam theories and relative errors between the two theories are presented in graphical form.
机译：利用传递矩阵法研究了对称交叉叠层梁的面外自由振动问题。发布用于预测固有频率的分布式参数模型。基于一阶剪切变形理论，在Timoshenko梁分析中考虑了旋转惯性和剪切变形效应。对于Bernoulli-Euler梁分析，忽略了这些影响，以研究剪切变形和旋转惯性对前六个固有频率的影响。迭代中可用的数字算法用于计算确切的总体动态传递矩阵。研究了旋转惯性和剪切变形对3至20的长/厚比，固定，固定，简单和无固定边界条件的影响，以及矩形截面的厚度/宽度比的拖曳值（2，0.5） 。 Bernoulli-Euler和Timosheno光束理论获得的结果以及两种理论之间的相对误差以图形形式表示。

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