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Awrejcewicz, J., Andrianov, I.V. and Manevitch, L.I. (1998) Asymptotic Approaches in Nonlinear Dynamics: New Trends and Applications. Springer-Verlag, Berlin, Heidelberg.
https://doi.org/10.1007/978-3-642-72079-6

has been cited by the following article:

• TITLE: Stability and Approximate Analytical Periodic Solution of a Structurally Orthotropic Stringer Shell

  AUTHORS: Xia Liu, Ruifang Wang, Fabao Gao

  KEYWORDS: Stability, Periodic Solution, Stringer Shell, Successor Function

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.8 No.3, March 13, 2020

  ABSTRACT: Combined with real engineering, we mainly study the stability of the equilibrium state at the coordinate center of an orthotropic stringer shell system, and the approximate analytic periodic motion is presented around the studied equilibrium state. In addition the rationality of the obtained results is verified by numerical simulation. Furthermore we found that there are actually only four kinds of phase portrait of this type of shell.