caa a22 4500 445360909 CHVBK 20180317142914.0 cr unu---uuuuu 170323e20110301xx s 000 0 eng 10.1007/s11071-010-9827-y doi (NATIONALLICENCE)springer-10.1007/s11071-010-9827-y Experimental evidence of bifurcating nonlinear normal modes in piecewise linear systems [Elektronische Daten] [Oliviero Giannini, Paolo Casini, Fabrizio Vestroni] A system with piecewise linear restoring forces, typical of damaged beams with a breathing crack, exhibits bifurcations characterized by the onset of superabundant modes in internal resonance with a significantly different shape than that of modes on a fundamental branch. A 2-DOF frame with piecewise linear stiffness is analyzed by means of an experimental investigation; the frame is forced by an harmonic base excitation and the operative modal shapes as well as the response amplitude are directly measured; the results are compared with numerical outcomes for different damping values. This study shows that the shapes and the frequencies of certain nonlinear normal modes (NNMs) of the related autonomous system strongly affect the forced response, in both the numerical and the experimental environments. Therefore, it is possible to match the NNM with the forced response of the system, leading to the prospect of identifying the severity and position of the damage from experimental tests. Springer Science+Business Media B.V., 2010 Nonlinear normal modes nationallicence Piecewise linear systems nationallicence Damaged systems nationallicence Forced response nationallicence Experimental investigations nationallicence Giannini Oliviero Dipartimento di Ingegneria Strutturale e Geotecnica (DISG), Università degli Studi di Roma "La Sapienza”, Via Eudossiana 18, 00184, Rome, Italy aut Casini Paolo Dipartimento di Ingegneria Strutturale e Geotecnica (DISG), Università degli Studi di Roma "La Sapienza”, Via Eudossiana 18, 00184, Rome, Italy aut Vestroni Fabrizio Dipartimento di Ingegneria Strutturale e Geotecnica (DISG), Università degli Studi di Roma "La Sapienza”, Via Eudossiana 18, 00184, Rome, Italy aut Nonlinear Dynamics Springer Netherlands 63/4(2011-03-01), 655-666 0924-090X 63:4<655 2011 63 11071 https://doi.org/10.1007/s11071-010-9827-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-010-9827-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Giannini Oliviero Dipartimento di Ingegneria Strutturale e Geotecnica (DISG), Università degli Studi di Roma "La Sapienza”, Via Eudossiana 18, 00184, Rome, Italy aut NATIONALLICENCE 700 1- Casini Paolo Dipartimento di Ingegneria Strutturale e Geotecnica (DISG), Università degli Studi di Roma "La Sapienza”, Via Eudossiana 18, 00184, Rome, Italy aut NATIONALLICENCE 700 1- Vestroni Fabrizio Dipartimento di Ingegneria Strutturale e Geotecnica (DISG), Università degli Studi di Roma "La Sapienza”, Via Eudossiana 18, 00184, Rome, Italy aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 63/4(2011-03-01), 655-666 0924-090X 63:4<655 2011 63 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer