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NESs with Non-Smooth Stiffness Characteristics

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Nonlinear Targeted Energy Transfer in Mechanical and Structural Systems

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 156))

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In this chapter we consider NESs with non-smooth stiffness nonlinearities, such as, clearances and vibro-impacts. Apart from their interesting nonlinear dynamics, the additional motivation for studying this class of nonlinear attachments is their capacity to absorb shock energy at fast time scales. The consequence of this capacity for rapid passive energy absorption is that this type of NESs are good candidates for applications where the targeted energy transfer (TET) from the directly forced primary structure to the NES(s) must be accomplished at the very early stage of the motion, that is, immediately after the application of the external shock where the energy is at its highest level; examples are, structures under seismic excitation or cars during collision.

We will provide a theoretical basis for assessing the capacity of NESs with non-smooth nonlinearities for TET at fast time scales, and postpone until Chapter 10 the discussion of the application of NESs with vibro-impact nonlinearities to the important problem of passive seismic mitigation of structures. For works on the me¬chanics of systems with non-smooth stiffness or damping nonlinearities we refer to the monographs by Babitsky (1998), Persson (1998), Brogliato (1999), Wiercigroch and de Kraker (2000), Babitsky and Krupenin (2001), Glocker (2001), Awrejcewicz and Lamarque (2003) and references therein. In the first two sections we provide numerical evidence of the capacity for shock isolation of NESs with non-smooth stiffnesses. In the following sections we will be focusing on systems with NESs possessing clearance or vibro-impact nonlinearities, in an effort to study certain aspects of the complex dynamics of these systems and related them to TET.

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(2008). NESs with Non-Smooth Stiffness Characteristics. In: Nonlinear Targeted Energy Transfer in Mechanical and Structural Systems. Solid Mechanics and Its Applications, vol 156. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-9130-8_7

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  • DOI: https://doi.org/10.1007/978-1-4020-9130-8_7

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