Vibration analysis of rectangular mindlin plates by the finite strip method

Vibration analysis of rectangular mindlin plates by the finite strip method
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DOI:
10.1016/0045-7949(80)90021-8
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发表时间:
1980-12
影响因子:
4.7
通讯作者:
O. L. Roufaeil;D. Dawe
O. L. Roufaeil;D. Dawe
中科院分区:
工程技术2区
文献类型:
--
作者:
O. L. Roufaeil;D. Dawe

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描述了具有一般边界条件的矩形 Mindlin 板振动的有限条分析。 Timoshenko 梁的简正振动模式用于表示沿偏转条带和两个横截面旋转的空间变化。对于横向表示,这三个基本量中的每一个都采用等阶多项式插值。该方法的准确性通过对具有简支边、夹紧边和自由边组合的方形板的多次应用结果得到证明。
A finite strip analysis of the vibration of rectangular Mindlin plates with general boundary conditions is described. The normal modes of vibration of Timoshenko beams are used to represent the spatial variation along a strip of the deflection and the two cross-sectional rotations. For the crosswise representation equal-order polynomial interpolation is employed for each of these three basic quantities. The accuracy of the approach is demonstrated by the results of a number of applications to square plates with combinations of simply supported, clamped and free edges.