A mixed problem about the bending of a thin elastic plate of a lunate form with the freely supported edge

摘要

The problem about the bending of a thin elastic plate which has a lunate form is considered under conditions that the edge of the plate β=0 is rigidly fixed and the edge β=γ is freely supported. This problem cannot be solved according to the method described in [8]. The given problem is reduced to the Karleman's five-element problem for the lane. The exact solution of the obtained Karleman's problem is unknown. In this connection the approximate solution is constructed. The numerical experiment has been conducted for the case of the concentrated loading.