正交各向异性复合材料对称层合板的自由振动

FREE VIBRATION OF SYMMETRICALLY LAMINATED ORTHOTROPIC PLATES

  • 摘要: 本文对任意厚度的正交各向异性矩形对称层合板, 使用哈密顿原理计算了在简支、固支和自由三种边界条件的各种组合下的自振频率及振型, 并在经点层合板理论和一种包括剪切变形和转动惯量在内的更为精确的理论下, 分别得到了两种计算结果。可以发现, 对厚宽比大及E/G值高的情况, 修正理论给出的频率值远比结典理论值精确, 频率的理论解与实验观察得到的结果进行了对比并给出了一些振型图片。

     

    Abstract: With the advent of the widespread use of fiber-reinforced composite materials, the natural frequencies and mode shapes of laminated plates has been widened int, rest, However, there are stretching-bending and bending-twisting coupling-as well as shear deformation in laminated plates due to the orientation of the plies and stacking sequence, so it is difficult to get anaolytical solutions of many dynamic problems in engineering.Therefore, a numerical method of both simplicity and accuracy must be sought to meet the needs for engineering counting.

     

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