Boundary element analysis of rotationally symmetric systems under general boundary conditions

Engineering systems often exhibit cyclic symmetry (or rotational periodicity) of geometrical and physical properties. This paper deals with the use of this feature in the context of the direct boundary element method, and shows how to decompose an elastostatic and steady state b. v. problem with general (not cyclically symmetric) boundary conditions into a number of much smaller problems over a single segment. There is no need to discretize the interfaces between adjacent segments. The decomposition is achieved by rotational transformations of physical into cyclic components.