Frequency domain modeling of nonlinear end stop behavior in Tuned Mass Damper systems under single- and multi-harmonic excitations

Frequency domain modeling of nonlinear end stop behavior in Tuned Mass Damper systems under single- and multi-harmonic excitations

van Til, J. (Student TU Delft)
Alijani, F. (TU Delft Dynamics of Micro and Nano Systems)
Voormeeren, S. N. (Siemens Gamesa Renewable Energy)
Lacarbonara, W. (Sapienza University of Rome)

2019

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.

Harmonic balance
Multi harmonic
Nonlinear end stop
Tuned mass damper

http://resolver.tudelft.nl/uuid:b3c5d6d2-16fa-486a-9bfb-e19316efa7a2

https://doi.org/10.1016/j.jsv.2018.09.015

2020-09-25

0022-460X

Journal of Sound and Vibration, 438, 139-152

Accepted Author Manuscript

Institutional Repository

journal article

© 2019 J. van Til, F. Alijani, S. N. Voormeeren, W. Lacarbonara