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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 33
Edited by: B.H.V. Topping
Paper II.2

Non-Linear Combinatorial Force Method

A. Mokhtar-zadeh and A. Kaveh

Department of Civil Engineering, Iran University of Science and Technology and Iranian Academy of Science, Tehran, Iran

Full Bibliographic Reference for this paper
A. Mokhtar-zadeh, A. Kaveh, "Non-Linear Combinatorial Force Method", in B.H.V. Topping, (Editor), "Developments in Computational Techniques for Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 21-28, 1995. doi:10.4203/ccp.33.2.2
A method is presented for the non-linear force method of frame analysis. A combinatorial approach is employed for the formation of particular and complementary solutions, leading to highly localized self-equilibrating stress systems. The method of analysis is based on an Eulerian formulation, which takes into account the effect of large joint translations and rotations. Material non-linearity is also included using a Ramberg-Osgood polynomial to represent generalized load-displacement relationships. An efficient program is developed and a number of frames are analyzed. The results indicate that the presented method is highly accurate in predicting large deformation responses of frames.

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