Abstract
We study the dynamics of a semi-infinite linear chain of particles that is weakly coupled to a strongly nonlinear oscillator at its free end. We analyze families of localized standing waves situated inside the lower or upper attenuation zones of the linear chain, corresponding to energy predominantly confined in the nonlinear oscillator. These families of standing waves are generated due to resonant interactions between the chain and the nonlinear attachment. A scenario for the realization of energy pumping phenomena in the system under consideration is discussed, and is confirmed by direct numerical simulations of the chain-attachment dynamic interaction.
Original language | English (US) |
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Pages | 2369-2374 |
Number of pages | 6 |
DOIs | |
State | Published - 2003 |
Event | 2003 ASME Design Engineering Technical Conferences and Computers and Information in Engineering Conference - Chicago, IL, United States Duration: Sep 2 2003 → Sep 6 2003 |
Other
Other | 2003 ASME Design Engineering Technical Conferences and Computers and Information in Engineering Conference |
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Country/Territory | United States |
City | Chicago, IL |
Period | 9/2/03 → 9/6/03 |
ASJC Scopus subject areas
- General Engineering