Abstract

In this paper some topological transformations are designed for simplifying problems involved in the topological analysis of structures. For each case, the main problem is stated and the proposed topological transformation is established. Once the required topological analysis is completed, a back transformation results in the solution for the main problem. Topological transformations studied here employ (1) models drawn on the plane, (2) models embedded into higher dimensional spaces, and (3) interchange models defined which have more simple connectivity properties than the corresponding original structural models.

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