Abstract
Nonsmooth dynamics of a Tuned Mass Damper system with lateral stops are studied using an alternating frequency/time harmonic balancing (AFT-HB) method. To this end, an extremely stiff end stop nonlinearity is considered. The application range of AFT-HB is investigated by including up to 250 harmonics in the external force, as well as in the motion description. Numerical simulations are performed by making use of a Newmark time integration algorithm for numerical verification of the results. The results for single harmonic excitations are further verified with an existing pseudo-arclength path-following tool. Two excitation scenarios are considered: single harmonic- and a wide-spectrum excitation with uniform distribution and random phase correlation between the harmonics. The AFT-HB algorithm is found to accurately reproduce the time integration results, for all considered cases. Finally, insights are gained into the differences between the system responses to single- and multi-harmonic excitations.
Original language | English |
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Pages (from-to) | 139-152 |
Journal | Journal of Sound and Vibration |
Volume | 438 |
DOIs | |
Publication status | Published - 2019 |
Bibliographical note
Accepted Author ManuscriptKeywords
- Harmonic balance
- Multi harmonic
- Nonlinear end stop
- Tuned mass damper