Asymmetric bending of annular plate by moment

Abstract

Asymmetric bending of the ring plate is encountered when developing designs of couplings, compensators and various corrugated elements included in the overall system to increase its elasticity. The efficiency of such plates is determined not only by their dimensions (internal and external diameters, wall thickness), but also depends to a large extent on the rigidity of the elements to which they are directly adjacent and the design of the transition from the plate to the element conjugated with it. In some cases, the method of fixing the plate along the outer contour comes closest to rigid embedment, in others it can be considered equivalent to hinged support. The main value characterizing the elasticity of the plate is the angle of rotation of the inner contour to which the external bending moment is applied. This value for the scheme with hinged support, all other things being equal, is significantly greater than for the scheme with rigid embedment. However, along with this, there is an unfavorable factor associated with a significant increase in stresses in the scheme with hinged support compared to rigid embedment. The correct solution to the problem comes down to selecting the dimensions of the elastic element in such a way as to obtain the largest angle of rotation of the internal contour at stresses not exceeding the permissible ones. For this purpose, it would be necessary to take into account the degree of rigidity of the fastening and make the calculation as for the scheme with elastic fixing.