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中文核心期刊

加筋板结构声导纳的面接触判据

The criterion of adopting surface mobility for beam-stiffened plate

  • 摘要: 通过采用有限元方法建立加筋板模型,计算不同边界条件下具有不同加筋形式的薄板在不同加载面尺寸下的导纳差值,进而得到与频率相关的加筋板面接触判据,揭示了加筋板面导纳和点导纳之间的相关关系,得到了“点”和“面”是否能够等效处理的面接触判据。进一步通过考察薄板的不同加筋形式和加载面形状以及加筋板的速度分布,可以发现:在不加筋、单加筋和十字加筋3种情况中不加筋平板的面接触判据最严格,而十字加筋板的面接触判据最宽松;单加筋板的速度差值与导纳差值的计算结果较为吻合;单加筋板的加载面沿垂直加筋方向的边长越长导纳差值越大。

     

    Abstract: Finite element method is adopted to investigate the difference of the mobility of thin plates with different stiffened beams, boundary conditions and sizes of loading areas, and the criterion of adopting surface mobility, which is related to the frequency of loading, is obtained. The difference of area mobility and point mobility of a beam-stiffened plate is investigated to reveal the criterion whether "point" and "area" can be equivalent. Further research on the type of stiffened beams and loading area as well as the distribution of the velocity of thin plates reveals that among the plate without beam, the single beam-stiffened plate and the cross beam-stiffened plate the criterion of adopting surface mobility for the plate without beam is the most strict, while that of the cross beam-stiffened plate is the least strict. Then the distribution of the velocity of a single beam-stiffened plate is calculated which validates the correctness of the criterion of adopting surface mobility for the single beam-stiffened plate. Finally, the differences of mobility of single beam-stiffened plate with different shapes of loading area are analyzed, which indicate that if the shape of the loading area is rectangle, when two parallel edges of the rectangle are perpendicular to the stiffened beam and became longer and the other two parallel edges of the rectangle became shorter, the difference between the point mobility and surface mobility of single beam-stiffened plate will be larger.

     

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