Application of broadband nonlinear targeted energy transfers for seismic mitigation of a shear frame: Experimental results

Analytic treatment of a system with a vibro-impact nonlinear energy sink

“…In computational studies on optimization of the performance of the system with VI NES [9,15,23] the values of the optimal restitution coefficient were close to those used here. The methodology presented above can be used for analysis of damped response in systems with more complicated NES configurations, for instance, including elastic components, one-sided impacts etc.…”

“…In the first papers devoted to the subject [1,2] pure cubic nonlinearity was considered. Later more involved types of nonlinear stiffness were incorporated, including general non-polynomial [12] monotonic functions, NES with multiple states of equilibrium [13], as well as nonsmooth and vibro-impact NES [9,14,15]. Experimentally, only a handful of nonlinear stiffness functions were realized and tested in a context of the NES.…”

“…Nonlinear stiffness close to purely cubic was realized with the help of elastic strings or springs with minimal pre-tension [11,16,17]. The non-smooth NES was realized by combining linear elastic and vibroimpact elements [14,15]. Recently, it was demonstrated that simple eccentric rotator can be efficiently used as the NES [18].…”

A Review of Nonlinear Dynamics of Mechanical Systems in Year 2008

“…This area has blossomed in recent years, and now involves research groups from around the world. This line of work has led to fundamental contributions to the area of nonlinear resonances, for example as described by Quinn et al (145) , and also led to the development of devices that exploit these phenomena for applications, including suppression of aeroelastic flutter (146), (147) and isolation from seismic excitation (148) . A forthcoming review article (149) and book (150) survey these topics and provide a quite complete review of the literature on the subject.…”

Introduction to a topical issue ‘nonlinear energy transfer in dynamical and acoustical Systems'

“…Among other applications, one can mention targeted energy transfer in essentially nonlinear systems with applications to energy absorption and harvesting [12][13][14][15][16][17][18][19][20][21][22][23][24], wave propagation, mitigation, energy redistribution and arrest in granular crystals and in systems characterized as 'sonic vacua' (i.e. with zero linear speed of sound) [25][26][27][28][29][30][31][32], dynamic and acoustic non-reciprocity, as well as wave tailoring and control by means of acoustic metamaterials composed essentially nonlinear elements [33][34][35][36].…”