The pendulum damper modelled as a two degree of freedom strongly non-linear auto-parametric system is investigated using two approximate differential systems. Uni-directional harmonic external excitation at the suspension point is considered. Semi-trivial solutions and their stability are analyzed. The thorough analysis of the non-linear system using less simplification than it is used in the paper [2] is performed. Both approaches are compared and conclusions are drawn.
@article{702859,
title = {Resonance behaviour of the spherical pendulum damper},
booktitle = {Programs and Algorithms of Numerical Mathematics},
series = {GDML\_Books},
publisher = {Institute of Mathematics AS CR},
address = {Prague},
year = {2008},
pages = {77-82},
zbl = {05802245},
url = {http://dml.mathdoc.fr/item/702859}
}
Fischer, Cyril; Náprstek, Jiří. Resonance behaviour of the spherical pendulum damper, dans Programs and Algorithms of Numerical Mathematics, GDML_Books, (2008), pp. 77-82. http://gdmltest.u-ga.fr/item/702859/