Abstract
Nonlinear vibrations of elastic-plastic structures have been investigated in several papers. Detailed information about this topic can be found in the corresponding monographs (see e.g. Volmir 1972; Lindberg and Florence 1983; Jones 1989). For solving this problem up to now two main approaches may be stated:
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(i)
In order to simplify the calculations the real structure is substituted by a mathematical model (Simitses 1989; Karagiozova and Jones 1996)
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(ii)
Some numerical techniques (maily FEM or finite difference methods) have been applied (see e.g. Morino et al., 1971)
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Lepik, Ü. (2000). Nonlinear Vibrations of Elastic - Plastic Structures by Galerkin’s Method. In: Lavendelis, E., Zakrzhevsky, M. (eds) IUTAM / IFToMM Symposium on Synthesis of Nonlinear Dynamical Systems. Solid Mechanics and its Applications, vol 73. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4229-8_20
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