Abstract
This chapter contains information about the reasons for nonlinearity and the general properties of nonlinear vibration, and discusses the basics of the harmonic linearization method. Applications of this method for the analysis of free and forced vibrations of systems with one degree of freedom are presented. Different types of nonlinearities are considered. These include Duffing’s rigidity characteristic, a combination of nonlinear stiffness with viscous resistance, linear stiffness with dry friction. A nonlinear dynamic absorber is considered.
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Karnovsky, I.A., Lebed, E. (2016). Nonlinear Theory of Vibration Protection Systems. In: Theory of Vibration Protection. Springer, Cham. https://doi.org/10.1007/978-3-319-28020-2_9
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DOI: https://doi.org/10.1007/978-3-319-28020-2_9
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