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 B.V.)
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