Abstract

Two Kirchhoff plates are considered that are joined by means of two rows of rivets posed with the small period h and modeled by Sobolev point transmission conditions. A new and unexpected effect is observed, namely the almost complete clutch of the plates occurs even for an exponentially small (with respect to h) distance between the rows in the mirror symmetry case. The same effect appears in the case of rivets in chessboard order only for the power-law smallness of the distance. These results are obtained with the help of analysis of boundary layer phenomena. Conditions are found to provide the hinge joint of the plates with friction at the limit.

中文翻译：

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Kirchhoff板双排铆接的渐近分析

摘要

认为有两个基尔霍夫板，它们是通过以小周期h构成的两排铆钉连接在一起的，并通过Sobolev点传输条件进行建模。观察到了新的和出乎意料的效果，即，即使在镜面对称情况下，行之间的指数距离很小（相对于h），也几乎会发生板的完全离合。在铆钉按棋盘顺序排列的情况下，仅对于距离的幂律较小，会出现相同的效果。这些结果是在分析边界层现象的帮助下获得的。发现条件使板的铰链接头在极限处具有摩擦。