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Engineering, Mechanical Vakakis, Alexander F. Mohammed Fakir, Abdul Azeez 2015-09-25T21:12:58Z 2015-09-25T21:12:58Z 10000-01-01 1998 1998 In the third phase, the nonsimilar nonlinear normal modes of a two degree of freedom vibroimpact problem are obtained analytically, using a Non Smooth Temporal Transformation (NSTT). The modes thus obtained are compared with numerical simulations and their stability is also studied. The bifurcation diagrams, for different coupling parameters, are presented and regions of localized motions are identified. Made available in DSpace on 2015-09-25T21:12:58Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 9904543.pdf: 9215192 bytes, checksum: 8f84de859627d99e3daf522b28b71c0f (MD5) Previous issue date: 1998 Embargo set by: Seth Robbins for item 85252 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 182 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1998. http://hdl.handle.net/2142/83971 (MiAaPQ)AAI9904543 eng Theoretical and Experimental Studies of the Nonlinear Dynamics of a Class of Vibroimpact Systems text Mechanical Engineering Mechanical Engineering University of Illinois at Urbana-Champaign Dissertation Ph.D.