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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 19
Edited by: B.H.V. Topping
Paper I.1

Topological Transformations Applied to Structural Mechanics

A. Kaveh

Department of Civil Engineering, Iran University of Science and Technology, Narmak, Tehran, Iran

Full Bibliographic Reference for this paper
A. Kaveh, "Topological Transformations Applied to Structural Mechanics", in B.H.V. Topping, (Editor), "Developments in Computational Engineering Mechanics", Civil-Comp Press, Edinburgh, UK, pp 1-10, 1993. doi:10.4203/ccp.19.1.1
In this paper some topological transformations are designed for simplifying certain problems involved in the 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 the solution for the main problem. Topological transformations studied here employ (1) models drawn on the plane, (2) models embedded into higher dimensional spaces, (3) interchange models defined which have more simple connectivity properties than the corresponding original structural model.

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