TY - GEN
T1 - Study of the resonances of a nonlinear, periodic, cyclic structure
AU - Vakakis, Alexander F.
PY - 1992
Y1 - 1992
N2 - The free and forced motions of a nonlinear periodic structure with cyclic symmetry are studied. This system can only possess n `similar' nonlinear modes of free oscillation, and no other modes are possible. The nonlinear interaction between a pair of modes with orthogonal nodal diameters is studied, and it is found that the only possible orbitally stable periodic motions are free travelling waves, that propagate through the structure in the clockwise and anticlockwise directions. Under harmonic forcing, a bifurcation of forced travelling waves from forced normal mode motions is detected, and `jump' phenomena between branches of periodic solutions are observed.
AB - The free and forced motions of a nonlinear periodic structure with cyclic symmetry are studied. This system can only possess n `similar' nonlinear modes of free oscillation, and no other modes are possible. The nonlinear interaction between a pair of modes with orthogonal nodal diameters is studied, and it is found that the only possible orbitally stable periodic motions are free travelling waves, that propagate through the structure in the clockwise and anticlockwise directions. Under harmonic forcing, a bifurcation of forced travelling waves from forced normal mode motions is detected, and `jump' phenomena between branches of periodic solutions are observed.
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M3 - Conference contribution
AN - SCOPUS:0027001765
SN - 0791810925
T3 - American Society of Mechanical Engineers, Design Engineering Division (Publication) DE
SP - 151
EP - 158
BT - Nonlinear Vibrations
PB - Publ by ASME
T2 - Winter Annual Meeting of the American Society of Mechanical Engineers
Y2 - 8 November 1992 through 13 November 1992
ER -