We propose an analytic solution for a rotating bi-material ring with a uniform temperature lower than the manufacturing temperature. In particular, one of the materials takes a rectangular shape in the r-z plane in cylindrical coordinates. The solution takes advantage of the superposition principle, with the particular solution accounting for the rotation and the general solution to the homogeneous problem. The latter is then written through a stress function with carefully chosen terms: terms from the solution of a composite solid ring from [Arnold, S.M., Saleeb, A.F., Al-Zoubi, N., 2002. Composites Part B 33, 433–459] and a term accounting for the annular geometry. The solution is adequately verified.

我们提出了一种旋转双材料环的解析解决方案，该双材料环的均匀温度低于制造温度。特别地，一种材料在圆柱坐标中在rz平面中呈矩形形状。该解决方案利用了叠加原理，其中特定的解决方案考虑了旋转，并且对同类问题进行了一般性的解决。后者然后通过应力函数编写，并带有经过精心选择的术语：来自[Arnold，SM，Saleeb，AF，Al-Zoubi，N.，2002的复合实心环的解的术语。Composites Part B 33，433–459 ]和解释环形几何形状的术语。该解决方案已得到充分验证。