Abstract
The work of Koiter in the field of structural stability has provoked a great deal of interest in the nonlinear analysis of bifurcating systems and within the discrete representation of such systems a particular form of perturbation scheme has been developed by Sewell [1] and Thompson [2, 3]. The benefits from such a scheme are considerable since the process reduces the original nonlinear equation to an ordered series of linear equations. Past interest in initial post-buckling and imperfection sensitivity has led to some emphasis being placed on the lower order equations rather than the patterns developed in a continuing scheme but it is these patterns which are investigated here.
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References
Sewell, M. J.: J. Mech. Phys. Solids 13, 247 (1965).
Thompson, J. M. T.: J. Mech. Phys. Solids 13, 295 (1965).
Thompson, J. M. T.: J. Mech. Phys. Solids 17, 1 (1969).
Thompson, J. M. T., Hunt, G. W.: Comparative perturbation studies of the elastica. Int. J. Mech. Sci. (to be published).
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© 1971 Springer-Verlag, Berlin/Heidelberg
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Thompson, J.M.T., Hunt, G.W. (1971). Perturbation Patterns in Nonlinear Branching Theory. In: Leipholz, H. (eds) Instability of Continuous Systems. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-65073-4_47
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DOI: https://doi.org/10.1007/978-3-642-65073-4_47
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