TY - GEN
T1 - Localized and non-localized normal modes in a strongly nonlinear discrete system
AU - Vakakis, Alexander F.
PY - 1991
Y1 - 1991
N2 - The free oscillations of a strongly nonlinear, discrete oscillator are examined by computing its 'nonsimilar nonlinear normal modes.' These are motions represented by curves in the configuration space of the system, and they are not encountered in classical, linear vibration theory or in existing nonlinear perturbation techniques. For an oscillator with weak coupling stiffness and 'mistuning,' both localized and nonlocalized modes are detected, occurring in small neighborhoods of 'degenerate' and 'global' similar modes of the 'tuned' system. When strong coupling is considered, only nonlocalized modes are found to exist. An interesting result of this work is the detection of mode localization in the 'tuned' periodic system, a result with no counterpart in existing theories on linear mode localization.
AB - The free oscillations of a strongly nonlinear, discrete oscillator are examined by computing its 'nonsimilar nonlinear normal modes.' These are motions represented by curves in the configuration space of the system, and they are not encountered in classical, linear vibration theory or in existing nonlinear perturbation techniques. For an oscillator with weak coupling stiffness and 'mistuning,' both localized and nonlocalized modes are detected, occurring in small neighborhoods of 'degenerate' and 'global' similar modes of the 'tuned' system. When strong coupling is considered, only nonlocalized modes are found to exist. An interesting result of this work is the detection of mode localization in the 'tuned' periodic system, a result with no counterpart in existing theories on linear mode localization.
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M3 - Conference contribution
AN - SCOPUS:0025839910
SN - 0791806286
T3 - American Society of Mechanical Engineers, Design Engineering Division (Publication) DE
SP - 109
EP - 116
BT - Vibration Analysis - Analytical and Computational
PB - Publ by ASME
T2 - 1991 ASME Design Technical Conference presented at the 13th Biennial Conference on Mechanical Vibration and Noise
Y2 - 22 September 1991 through 25 September 1991
ER -