caa a22 4500 445360453 CHVBK 20180317142913.0 cr unu---uuuuu 170323e20110401xx s 000 0 eng 10.1007/s11071-010-9856-6 doi (NATIONALLICENCE)springer-10.1007/s11071-010-9856-6 Response regimes in forced system with non-linear energy sink: quasi-periodic and random forcing [Elektronische Daten] [Y. Starosvetsky, O. Gendelman] The system under investigation comprises a linear oscillator coupled to a non-linear energy sink (NES) under quasi-periodic forcing in the regime of 1:1:1 resonance. Interaction of the quasi-periodic excitation with the strongly modulated response (SMR) regime is studied in detail both analytically and numerically. Theoretical study developed in the paper allows establishing the threshold value for the amplitude of modulation beyond which SMR regime is excited. This phenomenon is of great practical use since applying the quasi-periodic excitation beyond the threshold results in elimination of possible undesired regimes causing high-amplitude oscillations of the main structure. Bifurcations of the SMR caused by quasi-periodic excitation were analyzed with the help of semi-analytical procedure based on two-dimensional maps. Numerical evidences for exciting the strongly modulated bursts in the response by a random, quasi-periodic narrow-band excitation are also provided. Fairly good correspondence was observed between analytical model and numerical simulations. Springer Science+Business Media B.V., 2010 Targeted energy transfer nationallicence Non-linear energy sink nationallicence Vibration absorption nationallicence Quasi-periodic forcing nationallicence Random forcing nationallicence Starosvetsky Y. Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, 61820, Urbana, IL, USA aut Gendelman O. Faculty of Mechanical Engineering, Technion—Israel Institute of Technology, 32000, Technion City, Haifa, Israel aut Nonlinear Dynamics Springer Netherlands 64/1-2(2011-04-01), 177-195 0924-090X 64:1-2<177 2011 64 11071 https://doi.org/10.1007/s11071-010-9856-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-010-9856-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Starosvetsky Y. Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, 61820, Urbana, IL, USA aut NATIONALLICENCE 700 1- Gendelman O. Faculty of Mechanical Engineering, Technion—Israel Institute of Technology, 32000, Technion City, Haifa, Israel aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 64/1-2(2011-04-01), 177-195 0924-090X 64:1-2<177 2011 64 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer