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Analytical study of vibrating systems with strong non-linearities by employing saw-tooth time transformations. (English) Zbl 1232.70015
Summary: A special saw-tooth temporal transformation technique is formulated. It is simple enough to allow analytical computation of strongly non-linear free and forced dynamic responses, but, at the same time, can be applied to the analysis of general classes of non-linear problems.

MSC:
70K25 Free motions for nonlinear problems in mechanics
70-08 Computational methods for problems pertaining to mechanics of particles and systems
70K28 Parametric resonances for nonlinear problems in mechanics
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